Engineering An overpass intersects two
lanes of a highway. What must the value of x
be to ensure the two lanes are parallel?

Answer:

The scale factor is 1.5! I hope this helps!

Answer: 1.5

Each measurement:

12/8 = 1.5

9/6 = 1.5

15/10 = 1.5

The expression to represents the perimeter is,

54 = 2 (2k + k)

And, The width of the rectangle is, 9 units.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

The perimeter of a rectangle is equal to 54 units.

And, The length of the rectangle is 2k units, and the width of the rectangle is k units.

Now, We know that;

Perimeter of rectangle = 2 (Length + Width)

Substitute the given values, we get;

Perimeter of rectangle = 2 (Length + Width)

54 = 2 (2k + k)

54 = 2 × 3k

54 = 6k

54/6 = k

k = 9

Hence, The width of the rectangle is, 9 units.

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Answer:

3/1

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Ms. Liu will have to pay 8p for p bags of popcorn, and 3w for w bottles of water. The amount she will have left will be these amounts subtracted from $40.

  40 -8p -3w . . . . represents the money remaining

For p=3 and w=4, this evaluates to ...

  40 -8(3) -3(4) = 40 -24 -12 = 4

Ms. Liu will have $4 left after her purchase.

Answer:

last 2 I think

Step-by-step explanation:

okokokokokipullup

Answer:

1  thats it

Step-by-step explanation:

Answer:

the second, fourth

Step-by-step explanation:

Since they all have the same fraction, but different positive and negatives in each equation we can find out which ones are equal to the original equation by how many negatives each equation has.

The original equation has 2

first option only has 1, so we can eliminate that one

the second option has two, and they are the same equation as the original, only in reverse, so this one will be one of the answers.

the third only has one so we can get rid of that one.

the fourth has 2, even though it has a + it still makes 2/5 negative, so it is one of the answers as well.

and the fifth one is positive, and there are no negatives, so we can get rid of that one.

so the answers would be the second and fourth ones.

Answer:

O (3, 2)

Step-by-step explanation:

use the vectors method

(2+4)/2. (-6+10)/2

(3, 2)

Answer:

5/8,  20/32

Step-by-step explanation:

Divide 10/16 by 2 as that is the GCF (greatest common factor) = 5/8

To find an equivalent fraction with a denominator of 32 multiply 10/16 by 2 = 20/32

Answer:

5/8; 20/32

Step-by-step explanation:

10/16 = (5 · 2)/(8 · 2) = 5/8 lowest term

 equivalent fraction  5/8 = ?/32  means 32÷ 8 = 4 × 5 =20

5/8 = 20/32

If using 10/16 = ?/32     means 32 ÷ 16 = 2 × 10 = 20

Again 10/16 = 20/32

Answer:

y = 5x

Step-by-step explanation:

The first step is to find the slope. The table shows an increase of 5 on the x-axis and 1 on the y-axis. Our slope is 5/1 or 5

The y-intercept is 0 because when x=0, y=0. The value of y is the y-intercept.

0 is the correct answer;

2*0=0, and 0+3=3.

However if we plug in 1 it does not work you see; 2+1=2, and 2+3 = 5.

It has to be > not =

2

Step-by-step explanation:

because if you subtitute 2 for x you would get

2(2) +3>5

4+3=7

7>5

which makes the inequality true

Step-by-step explanation:

I don't know what the specific options are to be selected, but I can tell you what the situation is, and you can then pick the fitting options on your screen :

it is not a function, because 5 in set A (the domain) leads to 2 associated (functional result) values in B (the range).

but in order to be a function, every input value must have exactly one resulting output value. which is violated here.

Answer:

More than 180. It needs more info to have an actual answer.

Answer: I believe it would be 180 considering he has 180 pages in a book and you wanna know how many pages he has it would be 180 hoped this helped love ✨

Step-by-step explanation:

Answer:

40°

Step-by-step explanation:

56+84=140

180-140=40°

The area of the cylinder is a function of its height (h) and radius, ([tex]\mathbf{4\sqrt 3}[/tex])

The exact value of h is: [tex]\mathbf{7\sqrt 2- 4\sqrt 3}[/tex]

The given parameters are:

[tex]\mathbf{Area =56\pi\sqrt 6}[/tex]

[tex]\mathbf{r=4\sqrt 3}[/tex]

The surface area of a cylinder is calculated as:

[tex]\mathbf{Area = 2\pi rh + 2\pi r^2}[/tex]

Substitute values for Area

[tex]\mathbf{56\pi\sqrt 6= 2\pi rh + 2\pi r^2}[/tex]

Divide through by pi

[tex]\mathbf{56\sqrt 6= 2 rh + 2r^2}[/tex]

Substitute value for r

[tex]\mathbf{56\sqrt 6= 2 (4\sqrt 3)h + 2(4\sqrt 3)^2}[/tex]

[tex]\mathbf{56\sqrt 6= 8h\sqrt 3 + 2\times 48}[/tex]

[tex]\mathbf{56\sqrt 6= 8h\sqrt 3 + 96}[/tex]

Collect like terms

[tex]\mathbf{8h\sqrt 3 = 56\sqrt 6- 96}[/tex]

Make h the subject

[tex]\mathbf{h = \frac{56\sqrt 6}{8\sqrt 3}- \frac{96}{8\sqrt 3}}[/tex]

[tex]\mathbf{h = 7\sqrt 2- \frac{12}{\sqrt 3}}[/tex]

Rationalize

[tex]\mathbf{h = 7\sqrt 2- \frac{12\sqrt 3}{3}}[/tex]

[tex]\mathbf{h = 7\sqrt 2- 4\sqrt 3}[/tex]

Hence, the exact value of h is: [tex]\mathbf{7\sqrt 2- 4\sqrt 3}[/tex]

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Answer:

$12

Step-by-step explanation:

If we stuck with the price of $8, then we end with an income of $2400

Increasing it by $1 will decrease attendance by 20

8 x 300 = 2400

9 x 280 = 2520

10 x 260 = 2600

11 x 240 = 2640

12 x 220 = 2640

13 x 200 = 2600

We're starting to go down, so let's stop there

The ticket price of $11 or $12 appears to give the most income

I would stick with $12 since your still getting more money from one ticket

The price of a ticket stick at $12 since you still get more money from one ticket.

Last year 300 people attended a play with a ticket price of $8.

The school estimates that 20 fewer people attend for each $1 increase in price.

If we keep the price at $8, we'll end up with a $2400 profit.

Increasing it by $1 will result in a 20 percent drop in attendance.

8 × 300 = 2400

9 × 280 = 2520

10 × 260 = 2600

11 × 240 = 2640

12 × 220 = 2640

13 x 200 = 2600

Let's come to a halt here since we're starting to descend.

The $11 or $12 ticket price looks to generate the most revenue.

I'd continue with $12 because you'll still make more money with one ticket.

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calculate the formula of the triangle and then use pythagoras thereom to solve the values according to their sides

Don't forget to thank me later

The unknown number given from the expression Six more than a number is 17 is 11

let

The unknown number = x

x + 6 = 17

x = 17 - 6

x = 11

check:

x + 6 = 17

11 + 6 = 17

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Emily is 4 times as old as Tiffany. In ten years time, Emily will be twice as old as Tiffany. Find their ages.

[tex]4x + 10 = 2(x + 10) \\ = 4x + 10 = 2x + 20 \\ = > 4x - 2x = 20 - 10 \\ = > 2x = 10 \\ = > x = \frac{10}{2} \\ = > x = 5[/tex]

Emily's age is 20 years and Tiffany's age is 5 years.

Hope it helps!

Answer:

For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=6⋅−10=−60 and whose sum is b=−11

.

6x2+4x−15x−10

Factor out the greatest common factor from each group.

2x(3x+2)−5(3x+2)

Factor the polynomial by factoring out the greatest common factor, 3x+2

.

(3x+2)(2x−5)

Answer:

Eh, you're not getting any help since you lied about "giving brainliest".

Step-by-step explanation:

please mark this answer as brainlist

The value of the expression is 15.625.

We have,

Expression:

(2.5)³

The base is 2.5 and the power is 3.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

This can be written as,

= 2.5 x 2.5 x 2.5

Convert the decimals into fractions.

= 25/10 x 25/10 x 25/10

Simplify the fractions.

= 15.625

Thus,

The value of the expression is 15.625.

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Answer:

D) 19.8 lbs

Explanation:

1kg in household measurement is equal to 35.274 ounces. 35.274*9=317.466 ounces.

1kg is also equal to 2.205 lbs. 9*2.205=19.8416

9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system

a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.

This leaves us with 19.8 lbs

Answer:

250 $3 tickets and 100 $2 tickets were sold.

Step-by-step explanation:

The cost of tickets for a play is $3.00 for adults and $2.00 for children. 350 tickets were sold and $950 was collected. How many tickets of each type were sold?

Solution:

Step 1: Set up a table with quantity and value.

quantityvaluetotal$3 tickets$2 ticketstogether

Step 2: Fill in the table with information from the question.

The cost of tickets for a play is $3.00 for adults and $2.00 for children. 350 tickets were sold and $950 was collected. How many tickets of each type were sold?

Let x = number of $3 tickets

Let y = number of $2 tickets

Total = quantity × value

quantityvaluetotal$3 ticketsx33x$2 ticketsy22ytogether350950

Step 3: Add down each column to get the equations

x + y = 350                    (equation 1)

3x + 2y = 950                (equation 2)

Use Substitution Method

Isolate variable x in equation 1

x = 350 – y                     (equation 3)

Substitute equation 3 into equation 2

3(350 – y) + 2y = 950

1050 – 3y + 2y = 950

3y – 2y = 1050 – 950

y = 100

Substitute y = 100 into equation 1

x + 100 = 350

x = 250

Answer:

yes Bro it is correct ar u writing an exam

Using the normal distribution and the central limit theorem, it is found that there is a:

a) 0.2266 = 22.66% probability that the sample mean is greater than 63.

b) 0.1587 = 15.87% probability that the sample mean is less than 56.

c) 0.6147 = 61.47% probability that the sample mean is between 56 and 63.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

Item a:

This probability is 1 subtracted by the p-value of Z when X = 63, so:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{63 - 60}{4}[/tex]

[tex]Z = 0.75[/tex]

[tex]Z = 0.75[/tex] has a p-value of 0.7734.

1 - 0.7734 = 0.2266

0.2266 = 22.66% probability that the sample mean is greater than 63.

Item b:

This probability is the p-value of Z when X = 56, so:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{56 - 60}{4}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a p-value of 0.1587.

0.1587 = 15.87% probability that the sample mean is less than 56.

Item c:

This probability is the p-value of Z when X = 63 subtracted by the p-value of Z when X = 56.

These p-values were found in the previous items, so:

0.7734 - 0.1587 = 0.6147

0.6147 = 61.47% probability that the sample mean is between 56 and 63.

A similar problem is given at https://brainly.com/question/24663213

Answer:

[C] 36.

Step-by-step explanation:

the given polygon is trapezoid, where its bases are AB and CD.

The required area can be calculated using the formula: A=0.5(AB+CD)*h, where h - height of the ABCD.

The lengths are: AB=6; CD=12; h=4, then the required area:

A=0.5(6+12)*4=36

Answer:

1:2

Step-by-step explanation:

QRS is double the size of TUV