Ross walked 7 miles in 2 hours. What is his unit rate of miles per hour?

The linear equation in this case is . The [tex]$3 x^2+4 x+4=0$[/tex] answer is [tex]x=-\frac{2}{3}+i \frac{2 \sqrt{2}}{3}, x=-\frac{2}{3}-i \frac{2 \sqrt{2}}{3}[/tex] and [tex]$3 y^2+2 x+4=0: \quad$[/tex]: quadratic [tex](h, k)=(-2,0), p=-\frac {1} {6}[/tex] , is the solution.

[tex]$3 x^2+4 x+4=0 \quad: \quad x=-\frac{2}{3}+i \frac{2 \sqrt{2}}{3}, x=-\frac{2}{3}-i \frac{2 \sqrt{2}}{3}$[/tex]

[tex]$3 x^2+4 x+4=0$[/tex]

Apply the quadratic formula to the problem. [tex]$x_{1,2}=\frac{-4 \pm \sqrt{4^2-4 \cdot 3 \cdot 4}}{2 \cdot 3}$[/tex]

Simplify [tex]$\sqrt{4^2-4 \cdot 3 \cdot 4}: \quad 4 \sqrt{2} i$\\[/tex]

[tex]$x_{1,2}=\frac{-4 \pm 4 \sqrt{2} i}{2 \cdot 3}$[/tex]

Distinguish the answers

[tex]x_1=\frac{-4+4 \sqrt{2} i}{2 \cdot 3}, x_2=\frac{-4-4 \sqrt{2} i}{2 \cdot 3}\\x=\frac{-4+4 \sqrt{2} i}{2 \cdot 3}: \quad-\frac{2}{3}+i \frac{2 \sqrt{2}}{3}\\x=\frac{-4-4 \sqrt{2} i}{2 \cdot 3}: \quad-\frac{2}{3}-i \frac{2 \sqrt{2}}{3}[/tex]

The following are the quadratic equation's solutions:

[tex]x=-\frac{2}{3}+i \frac{2 \sqrt{2}}{3}, x=-\frac{2}{3}-i \frac{2 \sqrt{2}}{3}[/tex]

2) [tex]$3 y^2+2 x+4=0: \quad$[/tex] A parabola with a focal length of and a vertex at (h,k)=(-2, 0) [tex]$|p|=\frac{1}{6}$[/tex]

[tex]$3 y^2+2 x+4=0$[/tex]

[tex]$4 p(x-h)=(y-k)^2$[/tex] is the common formula for a right-to-left parabola with a vertex at (h, k) and a focal length of |p|.

Rewrite [tex]$3 y^2+2 x+4=0$[/tex]  using the proper form: [tex]$4\left(-\frac{1}{6}\right)(x-(-2))=(y-0)^2$[/tex]

The following are characteristics of parabolas:

[tex](h, k)=(-2,0), p=-\frac {1} {6}[/tex]

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Answer:

RM832.29

Step-by-step explanation:

Calculate PV Savings

To calculate the present value of the savings, we can use the formula:

PV = cash savings / (1 + r)^t

Where PV is the present value, r is the discount rate, and t is the number of years.

Plugging in the values given in the problem, we get:

PV = RM2,000 / (1 + 0.15)^20

= RM2,000 / 1.15^20

= RM832.29

So the present value of the savings is RM832.29.

Answer: RM25,919.89.

Step-by-step explanation:

The present value of the cash savings is the sum of the present value of each year's cash savings.

To calculate this, the formula for the present value of a single cash flow is used:

Present Value = Future Value / (1 + r)^n

Where r is the discount rate, and n is the number of years.

So, for the first year's cash savings, the present value would be:

PV = 2000 / (1 + 0.15)^1 = 1739.13

For the second year's cash savings, the present value would be:

PV = 2000 / (1 + 0.15)^2 = 1510.71

This can be repeated for the remaining 18 years, and the sum of all the present values is the total present value of the cash savings over 20 years:

Total PV = 1739.13 + 1510.71 + .... + 437.66 = RM25,919.89

Therefore, the present value of the cash savings over 20 years with a 15% discount rate is RM25,919.89.

Answer:

I can't please the question is sooo hard but can you give steps

Answer:

9:15

Step-by-step explanation:

Time needed to deliver 100 letters: 100 : 40 = 2,5 hours = 2:30min
Your break: 6:45 + 2:30 = 9:15

Answer: 40 cm

Step-by-step explanation:

The wooden frame needed = perimeter of the drawing
The length of the picture: 96 :8 = 12cm
The perimeter: (12 + 8) x 2 = 40 cm

The size of the crowd that is 5 feet deep on both sides of the street along a 2.7 -mile section of a parade route is 74,131 people.

The number of people that can fit comfortably in a 5 feet by 5 feet area = 13.

Therefore;

The ratio of the number of people per unit area = 13/(5 × 5) = 13/25

The area A occupied by the crowd = 5 feet × 2.7 mile × 2

2.7 miles = 14,256 feet

∴ A = 5 feet × 14,256 feet × 2 = 1,42,560ft²

We then have:

[tex]\frac{number\ of\ people}{1,42,560} = \frac{13}{25}[/tex]

∴Number of people = 13/25 × 1,42,560 = 74,131.2 ≈ 74,131 people

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Answer:

12(7-3) and 2-0.5

Step-by-step explanation:

All the rest are either terms or equations. The top left one is a term, and all the rest have equal signs, so they're equations. Only the bottom left and bottom right ones are expressions.

Answer:

112.5 miles

Step-by-step explanation:

scale: 1 inch= 35 miles

this means that for every inch on a map, that is 35 miles in real life.

if the distance on a map is 3.5 inches, and you want to find out how much the distant would be in real life, all you have to do is:

3.5 x 35 = 112.5

On solving the provided question, we can say that - by formula of simple interest we have SI = [tex]2200 X 2 X 4/100 = > 17600/100 = > 176[/tex]

Multiplying the principal by the interest rate, time, and other factors yields simple interest. Simple return equals principle times interest times hours is the marketed formula. It is easiest to compute interest using this formula. A percentage of the principle balance is how interest is most commonly computed. For instance, he will only pay his portion of the 100% interest if he borrows $100 from a buddy and promises to pay it back with 5% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and when you lend money, you must charge interest. Most of the time, interest is expressed as a yearly percentage of the loan amount. The interest rate on the loan is known as this percentage.

here,

principal, p = 2200

rate, r = 2%

time, t = 4 rs,

so SI = P X R X T/100

SI -

[tex]2200 X 2 X 4/100\\17600/100\\176[/tex]

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Answer: x = 13 and x = –29

Step-by-step explanation:i hope i help you

Answer:

To find the values of x that make the equation (x – 7)^2 = 36 true, you can start by undoing the square on the left side of the equation. Since (x – 7)^2 = (x – 7)(x – 7) = x^2 - 14x + 49. Then we know that x^2 - 14x + 49 = 36.

Now, you can add 14x and 49 to both sides to get x^2 = 50.

To find the values of x that make this equation true, we need to find the square root of both sides. So x = ±sqrt(50).

And the two values of x that will make the equation true are x = ±sqrt(50) = ±7sqrt(2). And it is not in the options given, which are x = 13, x = 1, x = -29, x = 42.

Step-by-step explanation:

Note that in the attached Geometric Figure (Diagram) which features QR as parallel to NO, if NQ = 12, QR 20, and NO = 35, then the length of QP is equal to 16.

[tex]\overline {QR}[/tex] is Parallel to [tex]\overline {NO}[/tex]; therefore

QR/NO = PQ/PN

⇒ 20/35 = PQ/PQ +12

This is because:

PN = PQ + NQ; which is also
PN = PQ +12

(PQ + 12) x 20 = 35PQ
20PQ + 240= 35PQ ; Collect like terms

240= 35 PQ - 20 PQ

240 = 15PQ; Divide both sides by 15

⇒ 240/15 = 15PQ/15
⇒ 16 = PQ

Therefore, QP = PQ which is equal to 16.

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i hope this helped you xx

Therefore , the solution of the given problem of triangle comes out to be  base=4m,16 and height=8m,2m.

In a plane, any three points can be joined to form triangles, which have three sides and three angles. They were among the first geometrical forms to be investigated. Because each polygon, regardless of its number of sides (four, five, six, or n), may be divided into a triangle, they are especially significant.

Here,

Given :

Triangle area = 16[tex]m^{2}[/tex]

Thus,

To find the possible base and height of the triangle.

The base can be given by 4 m,16

and height be = 8m or 2m

vice-versa

height = 4m ,16mand base =8m,2m

Therefore , the solution of the given problem of triangle comes out to be  base=4m,16 and height=8m,2m.

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Answer:

see below

Step-by-step explanation:

given that the area of the triangle is 16m² . We need to list all the possible lengths of its base and height. As we know that, the area of triangle is ,

ar(∆) = 1/2 * base* height

substitute the respective values,

16m² = 1/2* b * h

b*h = 32

now here we need to list out all the possible factors of 32 as ,

1 *32

2 *16

4*8

8*4

16 *2

32*1

therefore, all the possible lengths of heights and bases are ,

and we are done!

-Rishabh

Answer:

  d.  45°

Step-by-step explanation:

You want to know which from your list is a standard elbow angle.

An elbow is a pipe fitting that is used to change the direction of piping. Elbows can be used together to produce an offset and/or a change in the plane of the piping.

Standard elbow angles commonly are 90°, 45°, and, less commonly, 22.5°. The greater the angle, and/or the smaller the bend radius, the more resistance to flow it has.

The best choice of answer here is 45°.

__

Additional comment

The typical elbow has the same kind of threads on both sides. A "street elbow" has male threads on one side and female threads on the other side.

Elbow joints are not necessarily threaded. They may also be soldered, welded, or compression joints.

If the mean of 100 nummerical observations is 51.82 then the value of all 100 numbers is 5182.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that mean of 100 nummerical observations is 51.82

We need to find the sum of all the observations

The formula to find mean is mean=Sum of observations/ Number of observation

From given mean=51.82

Number of observations =100

Let us take x as sum of all 100 numbers

So 51.82=x/100

Now apply cross multiplication

x=51.82×100

x=5182

Hence, if the mean of 100 nummerical observations is 51.82 then the value of all 100 numbers is 5182.

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Answer:

x=4 and y=2

Step-by-step explanation:

You should use graph, point of intersection(for example point M(4,2) ) is solution

And we can conclude that x=4 and y=2

Miguel only wins $2 in one of the six tournaments, and he only loses $1 in the other five.

Probability theory, a subfield of mathematics, gauges the likelihood of an event or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a large group of equally likely outcomes that result in a certain occurrence compared to the total number of outcomes.

given

We identify the chips so that we can check all six events. Let's say two chips each have a designated 1: R1 and B1 (as if they were red and blue). Let's now consider all possible combinations.

There are 4 options for the first chip, and 3 options remain for the second chip.

There are 12 combinations as a result. There are just six combinations since we don't care about the sequence; for instance, R1, 3 is the same as R1, 3 to us. (R1, B1), (R1, 3), (R1, 5), (B1, 3), and (B1, 5) are the combinations (3,5) Miguel only wins $2 in one of the six tournaments, and he only loses $1 in the other five.

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5/8

i convert to decinal then back to fraction, but you can do it however.

Exact Form: 21/8
Mixed number form: 2 5/8

Step-by-step explanation:

Answer:yesb

Step-by-step explanation:

because u

Answer:

I can’t tell if both number are positive, ones negative ect but here’s the answer if both are negativ, let me know if the numbers are negative or positive and I can come back and give ya the right answer! Xoxo

Step-by-step explanation:

There is a $1,000 additional interest earned on a $100,000 CD (Commercial Paper) for 9 months than for 6 months.

The additional interest earned for a 9-month CD over a 6-month CD can be computed using the subtraction operation.

Firstly, the interests on the 9-month CD and 6-month CD are worked out separately, using the interest formula: Principal x Rate x Time.

The interest for the 6-month CD is subtracted from the interest for the 9-month CD.  The result is the difference or additional interest earned.

Commercial Deposit = $100,000

Annual Percentage Rate = 4%

Monthly Percentage Rate = 0.333% (4%/12)

Interest for 9 months = $3,000 ($100,000 x 4% x 9/12)

Interest for 6 months = $2,000 ($100,000 x 4% x 6/12)

The difference in interest earned = $1,000 ($3,000 - $2,000) or ($100,000 x 4% x 3/12)

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APY = 4%

Answer:

It is the first answer,

Step-by-step explanation:

The hypotenuse is always the longest side and opposite of the right angel.  Side b is the adjacent side to J and c is the opposite side of J.

Answer:

distributive property is your answer

Answer:

A) Angle A. Angle EG.

B) Angle A and Angle F.

C) Angle EG and Angle D.

I hope this helped you!

A recipe for a mixture that will make the same shade of green but a larger amount is =4 Cups of Yellow + 7 Cups of Blue

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Here, we have,

A shade of green paint is made by mixing `2` cups of yellow with `3.5` cups of blue.

Now,

2 Cups of Yellow + 3.5 Cups of blue

Multiply all by 2

=4 Cups of Yellow + 7 Cups of Blue

Hence,  a recipe for a mixture that will make the same shade of green but a larger amount is =4 Cups of Yellow + 7 Cups of Blue

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By solving system of linear equation we get Cost for 1 cheeseburger $5 and 1 cups of lemonade $2

A system of linear equations is a collection of two or more linear equations that have the same variables. A linear equation is an equation in which the highest power of the variable is 1. In other words, the equation is a straight line when graphed.

Here is an example of a system of linear equations:

3x + 2y = 19

2x + 4y = 18

This is a system of equations problem, where we can use the information provided to set up two equations and then solve for the unknown variables. Let x be the cost of one cheeseburger and y be the cost of one cup of lemonade.

From the information provided, we know that:

3x + 2y = 19 (the cost of 3 cheeseburgers and 2 cups of lemonade is $19)

2x + 4y = 18 (the cost of 2 cheeseburgers and 4 cups of lemonade is $18)

To find the cost of one cheeseburger and one cup of lemonade, we can solve this system of equations. One way to do this is by substitution.

3x + 2y = 19

we get

[tex]x=\frac{19-2y}{3}[/tex]

substituting x in equation 2x+4y=18

we get

 [tex]2(\frac{19-2y}{3})+4y=18[/tex]

[tex]38 - 4y + 12y = 54\\8y = 16\\y = 2[/tex]

substituting y in equation 3x+2y=19

[tex]3x+2(2)=19\\3x=19-4\\3x=15\\x=5[/tex]

The cost of one cup of lemonade is $2

The cost of one cheeseburger is $5

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Answer:

A sample of helium was compressed at 35 °C from a volume of 0.5 L

to 0.25 L where the pressure is 500 mmHg. What was the original pressure?

Step-by-step explanation: