What is the solution to the equation 9 W 4 )- 7w 5 3w 2?

Answers

Answer 1

The solution to w in the equation 9(w - 4) - 7w = 5(3w - 2) is w = -2.

Now, According to the question:

The given Equation:

9(w-4)-7w=5(3w-2)

To solve for w we first need to simplify our equation, removing any brackets and adding together similar terms. This gives us:

9(w-4)-7w=5(3w-2)

9w - 36 -7w = 15w - 10

2w - 36 = 15w - 10

Next, we subtract 2w from both sides to have all the variables on one side of our equation, then we add 10 to both sides to move the numerical values to one side.

2w - 36 = 15w - 10

2w -2w - 36 = 15w - 2w - 10

-36 = 13w - 10

-36 + 10 = 13w - 10 + 10

-26 = 13w

Finally, we divide both sides by 13 to find the value of w.

w = -2

Learn more about equation at:

https://brainly.com/question/29657983

#SPJ4

The complete question is this :

What is the solution to the equation of 9(w - 4) - 7w = 5(3w - 2).


Related Questions

Aaliyah and her friends had a movie marathon. They started watching movies at 1:29 P.M. The movie marathon ended at 9:04 P.M. How long did the movie marathon last?

Answers

Answer:

  7 hours 35 minutes

Step-by-step explanation:

You want to know the length of the time period between 1:29 pm and 9:04 pm.

Hours

Remembering that an hour is 60 minutes, we can rewrite the ending time before we subtract the beginning time.

  9:04 -1:29

  = 8:64 -1:29 = (8-1):(64-29) = 7:35

The movie marathon lasted 7 hours 35 minutes.

plsplsplsplsplspls help me

Find the measure of an interior angle of a regular hexagon ​

Answers

Therefore , the solution of the given problem of angles comes out to be

Each inner angle of a regular hexagon measures 120 degrees.

Exactly what angles are there?

Two rays that converging at the vertex, or center, of an angular structure in geometry make up the structure. We refer to these rays as the faces of the angle. Two beams may well be able to create any angle within just a planar depending on their location. Additionally, an angle is created when two planes intersect. .

Given: A standard hexagon

Measure each internal angle of a standard hexagon.

Solution:

(n - 2) x 180° is the formula for the sum of lengths of a polygon's inner angles.

Every side of a regular polygon is the same length, and every angle is the same size.

A hexagon has six sides.

Find the total of the measurements of the internal angles of a hexagon by substituting n = 6 in (n - 2) x 180n latitude in step 1.

=> (n - 2) * 180°

=> (6 - 2) * 180°

=>4 * 180°

=> 720°

Step 2: Since a regular hexagon has six sides and all of its sides and angles are equal in size, divide by six to obtain the dimensions of each inner angle.

=> 720° /6

=> 120°

Each internal angle of such a regular polygon is 120 degrees in length.

To know more about angles visit:

https://brainly.com/question/14569348

#SPJ1

highschool algebra:
combine like terms-

Answers

-1a^m , 2a^n


hope this helps :)

In AAEC, G is the centroid.

A

B.

If EG = 6, find GB.

O 2

03

06

09

Answers

B) The length of GB is 3 in the given triangle.

The centroid of a triangle is the point at which the three medians of the triangle intersect. A median of a triangle is a line segment that connects a vertex of the triangle to the midpoint of the opposite side. The three medians divide the triangle into six smaller triangles, each with a vertex at the centroid.

The ratio in which the centroid divides a median of a triangle is 2:1. That is, the distance from the centroid to the vertex is twice the distance from the centroid to the midpoint of the opposite side.

So, if G is the centroid and B is the midpoint of the side opposite to point A, the ratio of EG: GB is 2:1.

so the length of GB = EG/2

so the length of GB = 3

To know more about median click on below link:

https://brainly.com/question/28060453#

#SPJ4

Complete question:

In ΔAEC, G is the centroid , as shown in the figure .

if EG = 6 ,find GB

A) 2

B) 3

C) 6

D) 9

Here are six number cards.
-4 -2 -1 5 6 8
Arrange the cards into three pairs with the same total

Answers

Arranging cards with number -4, -2, -1, 5, 6, 8 making pair with the same total. Therefore, the pairs are (8,-4), (6,-2), (5,-1).

What are card pairs?

A pair is a hand that has two cards of same rank and three other cards that do not match any of these or each other. When comparing two similar hands, the hand with the higher pair wins – therefore 6-6-4-3-2 defeats 6-6-4-3-2. 5-5-A-K-Q.Some things, such as a pair of pants or a pair of scissors, contain two major sections that are the same size and form.

A 55-card deck with one 1, two 2s, three 3s, and so on up to ten 10s is used in the game. Shuffle the deck at the start of the game, then remove five cards from play without looking. Give each player one face-up card.

To learn more about Card pair to refer:

https://brainly.com/question/29507953

#SPJ1

A high school statistics class wants to conduct a survey to determine what percentage of students in the school would be willing to pay a fee for participating in after-school activities. Twenty students are randomly selected from each of the freshman, sophomore, junior, and senior classes to complete the survey. This plan is an example of which type of sampling

Answers

This method is used when the population has distinct subgroups.

The plan to conduct a survey by randomly selecting 20 students from each of the freshman, sophomore, junior, and senior classes is an example of stratified random sampling.

In stratified random sampling, the population is first divided into subgroups or strata based on some characteristic, such as class level (freshman, sophomore, junior, senior), and a random sample is then selected from each stratum.

This method is used when the population has distinct subgroups and it is important to ensure that the sample is representative of each subgroup. In this case, by taking random samples of 20 students from each class level, the statistics class can ensure that the survey results accurately reflect the views of each class level and not just one particular group.

To learn more about Sampling

visit; brainly.com/question/11045407

#SPJ4

How to simplify an equation?

Answers

The process of simplify the equation is explained below.

The term equation is known as a mathematical statement that defines the equality between two expressions.

Here we have to define the process of simplifying the equation.

The first and foremost step is to remove parentheses and brackets by multiplying factors.

And then we have to use the exponent rule to remove grouping if the terms contain exponents.

Then we have to combine like terms by adding or subtracting coefficients.

Finally, we have to Combine the constants.

To know more about equation here.

https://brainly.com/question/10413253

#SPJ4

45 PTS (find:m<3) don’t explain.

Answers

Answer:

142

Step-by-step explanation:

38+x = 180

x = 142

Answer

Step-by-step explanation:

Hey, there!

Let's simply solve it.

As there is given that L and M are parallel. Use all

the condition or properties of parallel lines.

Here use:

vertically opposite angle.

coointerior angles sum is 180°.

Now,

angle 6= 38° { Vertically opposite angle}. angle 6+ angle 5 = 180° { as sum of coointerior angles are equal to 180°}

38°+angle 5 = 180° or, angke 5 = 180°-38°

Therefore, angle 5 = 142°

Now, angle 3 = angle 5 { Vertically opposite angle} Therefore, the measure of angle 3 is 142°. hope it helps...

Volleyball practice is h hours long. Debbie had 3 volleyball practices last week. Choose the expression that shows the number of hours of practice.

Answers

The number of hours of practice is 3 x h or 3h.

What is the number of hours of practice?

In mathematics, an expression is a sentence that contains at least one number or variable. Additionally, an expression consists of at least one mathematical operation. There is no equal to sign in an expression.

Given:

Volleyball practice is h hours long. Debbie had 3 volleyball practices last week.

Multiply the number of hours for each practice by the total number of practice to get the expression for the number of practice hours.

The mathematical operation known as multiplication is used to calculate the sum of two or more numbers.

Number of hours of practice

= hours of practice x number of practice

= 3 x h

learn more about Expression here:

https://brainly.com/question/14083225

#SPJ1

PLEASE HELP PICTURE ATTACHED!!

IF m /3 = (9x + 14) and m/5 = (14x - 1), find m/28.

Answers

Answer:

∠8 = 139°

Step-by-step explanation:

Before we start solving, let's identify the figure to understand the problem.

We are given two parallel lines that are cut by a transversal.

Two lines are parallel if they have the same arrow head marking.

If two parallel lines are cut by a transversal, the following angles are created:

alternate interior anglesalternate exterior anglesvertical anglesadjacent anglescorresponding angles

I have attached an image of the different types of angles to this response.

Thus, we can use the types of angles to solve for ∠8.

3 and 5 are corresponding angles. Therefore, they have the same measure.

Set up the equation to solve for x:

∠3 = ∠5

9x + 14 = 14x - 1 . . . . . . substitute the values

14 = 5x - 1 . . . . . . . . subtract 9x from the LHS and RHS

15 = 5x . . . . . . . . . . add 1  to the LHS and RHS

∴ 3 = x . . . . . . . . . . . . divide the LHS and RHS by 5 to isolate x

Now that we know what x is, we can substitute it into the value of ∠3.

∠3 = 9x + 14

∠3 = 9(3) + 14 . . . . substitute the values

∠3 = 27 + 14 . . . . . compute

∴ ∠3 = 41

∠3 and ∠8 are adjacent angles. Therefore, they add up to 180°.

Set up the equation to solve for ∠8:

∠8 + ∠3 = 180

∠8 + 41 = 180 . . . . substitute the known values

∴ ∠8 = 139° . . . . . subtract 41 from the LHS and RHS to isolate ∠8

⭐if this response helped you, please mark it the "brainliest"!⭐

Answer:

Step-by-step explanation:

180-54=139 so 8 equals 139

Which equation with exponential expression are true?

Answers

Answer: B,D

Step-by-step explanation:



How do the faces of

a three-dimensional figure determine che

two-dimensional shapes created by slicing

the figure?

Answers

The process of the faces of a three-dimensional figure determine two-dimensional shapes created by slicing the figure is explained below.

The term three dimensional figure is defined as solid shapes or figures that have three dimensions.

Basically these kind of shapes has length, width and height are the dimensions of 3D shapes and the common names of these shapes are cube, cuboid, cone, cylinder and sphere.

Where as the two dimensional figure is defined as  horizontal and vertical axes that is x-axis and y-axis) and it is also known as 2d shapes are flat figures that have only length and width. And thus shapes do not have thickness or height.

To know more about dimensions here.

https://brainly.com/question/15225905

#SPJ4

If m= 2, n=3, and p= -1, then find the value of : 2mn4 – 15m2n + p
In Full Details!! As Soon As Possible

Answers

Answer:

-131

Step-by-step explanation:

2×2×3×4-15×2×2×3+-1

48-179

=-131

It’s actually -133!
Because 2x2x3x4=48
And -15x2x2x3=-180.
48-180+(-1)=-133

Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42

Answers

From the equation, the value of x is 13

What is a Square Number?

When an integer is multiplied by the same integer, the resultant number is known as a square number. Simply put, a square number is a number that is obtained by the product of two same numbers but in this case, it is an equation, so the equation in the bracket multiplies itself.

Properties of Square NumbersSquare numbers always end with the digits 0, 1, 4, 5, 6, and 9. The number of zeros at the end of a square number is always even. This means if a number has an odd number of zeros at the end, then the number is not a square number. The square of even numbers is always even, and the square of odd numbers is always odd

(x – 7)² = 36

Raising both sides by 1/2

x-7 = √36

x - 7 = 6

x = 6+7

x = 13

Learn more about equations here: https://brainly.com/question/24673551

#SPJ1

What is the length of the missing leg? If necessary, round to the nearest tenth.

Answers

The length of the other leg is 65 cm

How to find the length of the other leg

From the question, we have the following parameters that can be used in our computation:

Leg 1 = a

Leg 2 = 72 cm

Hypotenuse = 97 cm

The length of the hypotenuse of the right triangle can then be calculated using

Hypotenuse² = Leg 1² + Leg 2²

Substitute the known values in the above equation, so, we have the following representation

97² = a² + 72²

So, we have

a² = 97² - 72²

Evaluate

a² = 4225

Take the square roots

a = 65

Hence, the other leg is 65 cm

Read more about right triangle at

brainly.com/question/1248322

#SPJ1

pls solve the question (i will mark u the brainliest)

Answers

Step-by-step explanation:

May be (p³)³ would be the answer!!!

BRAINLY ME PLEASE IF HELPFUL!!!

Two sectors of a circle of radius $12$ overlap as shown, with $P$ and $R$ as the centers of the respective circles. Determine the area of the shaded region.

Answers

The area of the shaded region is 26.088 sq units.

A circle is a particular type of ellipse in mathematics or geometry where the eccentricity is zero and the two foci are congruent. A circle is also known as the location of points that are evenly spaced out from the center.

The radius of a circle is measured from the center to the edge. The line that splits a circle into two identical halves is its diameter, which is also twice as wide as its radius.

Area of a 60-degree sector of a circle with radius 12  = 60/360 pi 12^2    Since, there are two of these minus the area of equilateral triangle =                 sqrt3 /4  12^2  = 60/360 pi 12^2 * 2 -  sqrt3 /4  12^2 *2  =  26.088 sq units

Thus, the area of the shaded region is 26.088 sq units.

To know more about circles visit: brainly.com/question/11833983

#SPJ4

The triangular symbol for "play" on many electronic devices has
the shape of an isosceles triangle. Find the other two angles
if angle P measures 30°.

Answers

A triangle that is equilateral has three equal sides and three equal angles.

Find the other two angles if angle P measures 30°?

The angles are all 60 degrees each. Two 90-degree angles are formed when the height of an equilateral triangle is drawn to the base of the triangle, and the top angle is divided into two 30-degree angles. A triangle with sides of 30-60-90 always has sides that are 1:3:2.

The 30-60-90 triangle formula for sides y is also known as y3: 2y. The angles of the triangle are always 30, 60, and 90 degrees. Given that one of the angles is 90 degrees, this triangle is always a right triangle. These angles come together to form a right-angled triangle. Furthermore, the right angle is equivalent to the sum of two sharp angles, which will have the ratios of 1: 2 or 2: 1.

To learn more about two angles if angle P measures 30° refer to:

https://brainly.com/question/29305455

#SPJ1

PLS HELP!!!! WILL GIVE BRAINLIEST!!! EDGE. PERFORMANCE TASK STEP FOUR

Answers

5W = 24D is the expression that represents the change in the rate of dosage as per the weight.

What is an expression?

A mathematical expression is a sentence that includes numbers, variables, or both. The equal symbol is never used in expressions. Here are a few phrases as examples. A mathematical statement stating the equality of two expressions is known as an equation.

Given the relation between dosage and the weight of a medicine

               Children's Fever Medicine

                (given every 4-6 hours, as needed)

Weight:     24 lbs         36+ lbs         48+lbs          60+lbs         72+ lbs

Dosage:    5 mL         7.5 mL          10 mL             12.5 mL           15 mL

ratio of weught and dose

24/5 = 36/7.5 = 48/ 10 = 60/12.5 = 75/15

=> 4.8 = 4.8 = 4.8 = 4.8 = 4.8

Since weight is directly proportional to the dosage

let W be the weight of the child and D be the Dose of the medicine

Thus, Relation between them:

=>W/D = 24/5

=> 5W = 24D

Therefore, The formula that describes the change in dosage rate in relation to weight is 5W = 24D.

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ1

What are the domain and range of the function fix) = x* - 2x2 - 4?

Answers

Answer: domain(-oo,oo). range= f(x) >-5

Step-by-step explanation:

Marcy made a lane change when. A car was in her side mirror blind spot. She missed the car but immediately crashed into the car ahead of her, causing damage. After Marcy filed the insurance claim, she was notified that her premium for full insurance would increase by 35% what is Marcy new yearly premium if her premium before the accident was $2,140


Peter insurance company is raising his rates after he files a claim . He pays $75 per month and his insurance is set to increase by 30% . What will Peters new monthly premium be ?

Kevin purchases a truck for $35,000 with a down payment of $4,300 . The monthly payment factor is 0.01933. What is the monthly payment for the truck ?

Answers

On solving the provided question, we can say that By percentage, the amount that will be covered in the insurance = $749

What is percentage?

A percentage in mathematics is a figure or ratio that is stated as a the fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

By percentage.,

35% 0f 2140 =

35/100 X 2140 = 0.35*2140 = $749

the amount that will be covered in the insurance = $749

To know more about percentage visit:

https://brainly.com/question/28269290

#SPJ1

I need help with six and seven

Answers

Answer: Perimeters Are Shown Below

Step-by-step explanation:

6. 2 Hexagons; 1+1+1+1+1+1+1+1+1+1   OR 1 x 10

6. 3 Hexagons; 1+1+1+1+1+1+1+1+1+1+1+1+1+1  OR 1 x 14

7. 2 Pentagons; 1+1+1+1+1+1+1+1  OR 1 x 8

7. 3 Pentagons; 1+1+1+1+1+1+1+1+1+1+1  OR 1 x 11

A square dining room table has a perimeter of (12x "-40)" feet.Which expression represents the side length of the table (in feet)

Answers

The equation that represents the length of the square dining room in feet is (1/4)x - 5/6.

What are the dimensions of a square?

The area of a square is a product of it's any two sides or a product of diagonals divided by two. If a side has a length 'a' then the diagonal is a√2.

The perimeter of a square is the sum of the lengths of all the sides.

We know the perimeter of a square is 4×side.

We also know that 1 foot is equal 12 inches.

Given, A square dining room table has a perimeter of (12x - 40)".

Now if we factor out a 4 we'll have the side inside the bracket which is,

4(3x - 10)'', This is in inches to convert it to feet we have to divide what is inside the bracket by 12 which is,

= (3/12)x - 10/12 feet.

= (1/4)x - 5/6 feet.

learn more about squares here :

https://brainly.com/question/28776767

#SPJ1

Suppose that $2000 is loaned at a rate of 7%, compounded semiannually. Assuming that no payments are made, find the amount owed after 4 years.

Answers

Answer:

$2581.60

Step-by-step explanation:

In order to find the amount owed after 4 years, we need to use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the amount owed after t years

P is the principal, or initial amount borrowed

r is the interest rate

n is the number of times the interest is compounded per year

t is the number of years

Plugging in the given values, we have:

A = $2000(1 + 0.07/2)^(2*4)

= $2000(1.035)^8

= $2000(1.2908)

= $2581.60

Therefore, the amount owed after 4 years would be $2581.60.

Adine is parallel to y = 5x + 9 and
intersects the point (-2, -3). What is the
equation of this parallel line?

Answers

The equation of the line parallel to y = 5x + 9 which intersects the point (-2, -3).

What is a parallel line?

Parallel lines are coplanar, infinite straight lines in geometry that don't cross at any point. Planes in the same three-dimensional space that never cross each other are said to be parallel.

Curves that are parallel to one another and maintain a set minimum distance do not touch or intersect. A line and a plane that do not share a point are also referred to as being parallel in three-dimensional Euclidean space. But skew lines are used to describe two noncoplanar lines.

We know that slope of parallel line are same. Thus, slope is 5 in y = 5x + 9

Now we need to put the values in y intercept form to find out the equation

y - y1 = m(x - x1)

y - (-3) = m(x - (-2))

y + 3 = 5(x + 2)

y = 5x + 10 - 3

y = 5x + 7

Thus, The equation of the line parallel to y = 5x + 9 which intersects the point (-2, -3).

Learn more about Parallel lines

https://brainly.com/question/16701300

#SPJ1

In 2003 how many African American students attended a school with over 90% of its population being a minority?

Answers

According to ProPublica, from 1993 to 2011, there were almost 2.9 million black pupils enrolled in schools where at least 90% of the student body is made up of minorities.

Explain about the minority?

The absence of a majority on the territory of a State is indicated by a minority. That essentially indicates that less than 50% of a nation's population belongs to one or more ethnic, religious, or linguistic groups.

According to Section 2(c) of the National Commission for Minorities Act of 1992, the following groups have been designated as minority communities: Muslims, Sikhs, Christians, Buddhists, Jain, and Zorastrians. According to the Census of 2011, minorities make up around 19.3% of the overall population of the nation.

The term "minority" in the 1990s typically refers to four significant racial and ethnic groups: African Americans, American Indians and Alaska Natives, Asians and Pacific Islanders, and Hispanics.

To learn more about population refer to:

https://brainly.com/question/25630111

#SPJ4

-1 23/40 = 9/10p
.................................................

Answers

Answer:

p = -7/4 or -1 3/4

Step-by-step explanation:

-1 23/40 = 9/10p

-1 23/40 = -63/40

So, our equation is

-63/40 = 9/10p

Divided both sides by 9/10

p = -7/4

So, the answer is

p = -7/4

or

-1 3/4

What is the midpoint of 0 and 5?

Answers

The midpoint of 0 and 5 is 2.5.

The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.

A compass and straightedge setup can be used to locate the midpoint of the line segment they determine given two points of interest. By initially building a lens out of circular arcs with equal radii centered at the two endpoints and joining the cusps of the lens, one can determine the midpoint of a line segment immersed in a plane. The midpoint of the segment is then the place where the line joining the cusps intersects the segment.

To learn more about midpoints :

https://brainly.com/question/5566419

#SPJ4

How many ways can the train be made up?

Answers

Answer:

16c9

Step-by-step explanation:

First, we will add up the number of different car possibilities. This is:

6 + 7 + 3 = 16.

Then, we need to take 9 of these 16 cars, giving us 16c9.

Hope this helped!

Answer:

4,151,347,200

Step-by-step explanation:

For questions 8 and 9, determine if S could lie on the perpendicular bisector of QR with the

given coordinates.

8. Q(-5, -1), R(3, 7), S(4,-2)

9. Q(-5, 4), R(8. -3), S(-2. -5)

Answers

Yes S lies as the perpendicular bisector as asked in the question .

The distance is calculated with the use of distance formula,

d = √( x2 - x1 )² + ( y2 - y1 )²

Now , we are suppose to calculate the distance between the points S and R, given their values are ,

S=(4,-2) and

R=(3,7)

Using distance formula ,

d = √( 3 - 4 )² + ( 7 - (-2))²

d =  √ 1 + 81

=  √82

Now, the distance between Q and S can be found as ,

Q=(-5,-1)

S=(4,-2)

d = d = √(4 + 5)² + ( -2 + 1)²

d =  √ 81 + 1

=  √82

As the distance between the two ends of the segment and the point S is the same, the point S must lie on the perpendicular bisector of QR, according to the perpendicular bisector theorem.

For question number 9 the distance between Q and S are,

Q=(-5,4)

S=(-2,-5)

d = √( -2 -5)² + ( 5 - 4)²

d =  √ 9 + 1

=  √10

To learn more about distance

brainly.com/question/15172156

#SPJ4

Other Questions
F(x)=2 sin (1/2x)+1 What is the midline of the function According to Gordon Allport, which type of personality traits are the most dominant? A medical defibrillator stores 950 J of energy in a 100uF capacitor.What is the voltage across the capacitor?If the capacitor discharges 350J of its stored energy in 3.1ms , what power is delivered during this time? A job order costing system would best fit the needs of a company that makes:Multiple ChoiceO Custom machinery.O Cement.O Shoes and apparel.O Paint.O Pencils and erasers. One of the most telling signs of whether a company's market position is strong or precarious isa. whether it has a lower stock price than key rivals.b. whether it is in a bigger or smaller strategic group than its closest rivals.c. whether its prices and costs are competitive with those of key rivals.d. whether its product is strongly or weakly differentiated from rivals.e. the opinions of buyers regarding which seller has the best product quality and customer service. 2. Explain the relationship between the key terms ineach of the following pairs.a. direct pressure and indirect pressureb. goal and action plan In triangle abc, i the circumcenter bc i equal to 72cm d i equal to 15cm find the radiu of the circumcircle 1- Give the chemical formula for trans-dichlorobis(ethylenediamine)platinum(IV). Use (en) as the symbol for ethylenediamine.2- Give the systematic name of this coordination compound.Na[Al(OH)4] Find the lengths of the diagonals of rectangle WXYZ.WY= 16x + 2-XZ=36x-6The length of each diagonal isunits. I am sure many of us will agree that History is avery important subject, but just exactly howimportant is it? Someone once said that "In the endHistory will be the only subject that will matter."Think about this statement. Do you agree with it?Why or why not? What grade is 2 step equations? The four-digit numeral $3AA1$ is divisible by $9$. What digit does $A$ represent? 23 Luke invested 4000 in a savings account for 3 years. Compound interest was paid at a rate of 1. 8% each year. Alexa also invested 4000 in a savings account for 3 years. Simple interest was paid at a rate of 1. 8% each year. Luke got more interest than Alexa in total over the 3 years. How much more? You must show all your working. 13. Which situation can be represented bya true proportion? A car used 3 gallons of gas to drive 72 miles on a highway and used 4 gallons of gas to drive 72 mile town. A store charged $20 for 2 shirts and charged $25 for 3 shirts. A signal light flashed yellow 7 times in 28 seconds and flashed red 5 times in 35 seconds. An alarm on a clock beeped 7 times in 6 seconds and beeped 14 times in 12 seconds. A car drives up a straight hill at a constant speed of 50 kilometers per hour. A truck drives over the crest of the hill at a constant speed of 50 miles per hour. What is the net force on the car and on the truck What is the philosophy of judicial activism? En mi casaventanas son grandes.dormitorios tienen baos, pero mi dormitorio no tiene.edificio es muy pequeo.No necesitamos ascensor.TienesHaybaera o una ducha en tu bao?sofs estn en la sala grande.estantera en mi dormitorio. You are managing a software project with limited development resources. The QA department has discovered a large number of defects in the product, and the project sponsor is very concerned about this. You want to get the maximum number of defects repaired with minimal effort. Which quality-control tool are you going to use before you direct the efforts of the project team to fix specific problems? Whats the gcf of 18 and 36 Two points, point 1 and point 2, are located inside a region with an electric field pointing to the left, as shown in the figure. 1 50% Part (a) If a proton is moved from point 1 to point 2, how will the potential energy of the charge-field system change? How will the potential change?