Match each equation to its solution

Answer:

3p - 19

Step-by-step explanation:

8 + 3(p - 9)

Distribute;

8 + 3p - 27

Collect like terms;

-19 + 3p

3p-19 by using addition and the distributive property

Answer:

30

Step-by-step explanation:

9/(3/10)=9*(10/3)=30

Answer:

The length of the rectangle is 31.

Step-by-step explanation:

We have that the length (L) and width (W) are:

[tex] L = 3x + 7 [/tex]

[tex] W = 2x [/tex]

The perimeter of the rectangle is given by:

[tex] P = 2W + 2L [/tex]

[tex] 94 = 2(2x + 3x + 7) [/tex]

[tex] 94 = 10x + 14 [/tex]

[tex] x = 8 [/tex]

Now, we can calculate the length of the rectangle:

[tex] L = 3x + 7 = 3*8 + 7 = 31 [/tex]        

Therefore, the length of the rectangle is 31 units.

I hope it helps you!                

Question:

A company produces boxes of DVDs at a rate of 52 boxes per hour they begin to produce boxes when they first opened for the day and after 3 hours have 400 boxes in stock.

- How many boxes were in stock when they opened?

- Write a linear model for the amount of boxes, b, as a function of the number of hours since they opened, h.

- Use your model to predict the number of boxes in stock at the end of an 8 hour shift.

Answer:

1. [tex]Initial = 244[/tex]

2. [tex]b = 244 + 52h[/tex]

3. 660 boxes

Step-by-step explanation:

Given

[tex]Rate = 52\ per\ hour[/tex]

[tex]Total\ boxes\ in\ 3\ hours = 400[/tex]

Solving (a): Initial Number of boxes

First, we calculate the number of boxes made in 3 hours

[tex]Boxes = Rate * Hours[/tex]

[tex]Boxes = 52 * 3[/tex]

[tex]Boxes = 156[/tex]

If they had 400 boxes at the 3rd hour.

Then, the number of boxes when they opened is:

[tex]Initial = 400 - 156[/tex]

[tex]Initial = 244[/tex]

Solving (b): Linear function

[tex]b = boxes[/tex]

[tex]h = hours[/tex]

Since, we have the rate and the initial number of boxes.

The linear function is:

[tex]Boxes = Initial + Rate * Hours[/tex]

i.e.

[tex]b = 244 + 52 * h[/tex]

[tex]b = 244 + 52h[/tex]

Solving (c): Boxes at the end of the 8th hour

We have:

[tex]b = 244 + 52h[/tex]

In this case:

[tex]h = 8[/tex]

Substitute 8 for h

[tex]b = 244 + 52 * 8[/tex]

[tex]b = 244 + 416[/tex]

[tex]b = 660[/tex]

Hence, there are 660 boxes at the end of the 8th hour

Answer:

144

Step-by-step explanation:

plug in 5 where you see the x.

that gives us 9(4(5)-4)

multiply the 4 and the 5 first to get 9(20-4)

and by PEMDAS, we solve the parentheses first so now we have 9(16)

so now just multiply 9x16 to get 144

Step-by-step explanation:

9((4×5)-4)

9(20-4)

9(16)

144

Answer:

A. 30/100

Step-by-step explanation:

All you have to do is divide the numerator by the denominator and then multiply that result with 100 like so:

(Numerator/Denominator)*100

When you enter 30/100 into the above formula, you get (30/100)*100 which calculates to:

30%

Good Luck!

Answer:

1. 30/100

Step-by-step explanation:

Convert fraction (ratio) 30 / 100 Answer: 30%

Answer:

10x + 18

Step-by-step explanation:

First, we need to add like terms. Like terms are terms that are alike. For instance 8x and 2x are like terms. 15 and 3 are also like terms.

So, we have to add 8x plus 2x and 15 plus 3. That’s comes out to 10x plus 18.

Therefore, this expression is equivalent to 10x + 18.

9515 1404 393

Answer:

  1 + x

Step-by-step explanation:

A sum is found by adding terms. Here, you are told the terms to add are 1 and x. We use the plus sign (+) to signify addition. Your sum is ...

  1 + x

Answer:

D. 10

Step-by-step explanation:

Assuming that <COA is a right angle, we can say that the two given angles are complementary

complementary angles are angles that add up to 90 degrees

this means we can create this equation: 3x + 46 + 14 = 90

so subtract 46 and 14 from 90: 3x = 30

divide both sides by 3: x = 10

Answer:

I think that it is letter D

Step-by-step explanation:

sorry if im wrong. but i hope this helps! :)

Answer:

CLASS     FREQUENCIES     RELATIVE FREQUENCIES

A                        60                                 0.5

B                        12                                  0.1

C                        48                                 0.4

TOTAL              120                                  1

Step-by-step explanation:

Given that;

the frequencies of there alternatives are;

Frequency A = 60

Frequency B = 12

Frequency C = 48

Total = 60 + 12 + 48 = 120

Now to determine our relative frequency, we divide each frequency by the total sum of the given frequencies;

Relative Frequency A = Frequency A / total = 60 / 120 = 0.5

Relative Frequency B = Frequency B / total = 12 / 120 = 0.1

Relative Frequency C = Frequency C / total = 48 / 120 = 0.4

therefore;

CLASS     FREQUENCIES     RELATIVE FREQUENCIES

A                        60                                 0.5

B                        12                                  0.1

C                        48                                 0.4

TOTAL              120                                  1

Answer:

x=17

Step-by-step explanation:Get everything to one side by using addition and subtraction and combine like terms. Once you have that set it equal to zero and put the b in Mx+b on the other side then divide it by m and you’ll have x

Answer:

8

Step-by-step explanation:

2(20-8x)=5x-2

40-16x=5x-2

42=21x

x=2

HK=5x-2 = 5(2)-2 = 10-2 = 8

Answer:

[tex]x = 0.2 \: or \: \frac{1}{5} [/tex]

Step-by-step explanation:

[tex] - 1 + 4x.5 = 3[/tex]

[tex] = > 20x - 1 = 3[/tex]

[tex] = > 20x = 3 + 1 = 4[/tex]

[tex] = > x = \frac{4}{20} = \frac{1}{5} = 0.2[/tex]

Answer:

In which direction must the graph of f(x) = |x| be shifted to produce the graph of g(x) = |x − 3|?

A. left

B. down

C. up

✓D. right

Right is the right answer.

Answer:

Down

Step-by-step explanation:

I took the test and got it right

9514 1404 393

Answer:

  327.68 units^2

Step-by-step explanation:

The area of the small figure is ...

  area = length · width

  area = (8)(4) = 32 . . . . square units

The scale factor is ...

  scale factor = large length / small length = 25.6/8 = 3.2

The area of the larger rectangle will be the small rectangle area multiplied by the square of the scale factor:

  (32 units^2)(3.2^2) = 327.68 units^2

_____

Additional comment

We note the width is half the length, so we could figure the larger rectangle's width at 25.6/2 = 12.8 units. Then its area would be

  length · width = (25.6 units)(12.8 units) = 327.68 units^2

This seems easier to me, but is not the method required by the problem statement.

Answer:

The scale factor of the enlargement is 3.2. Square the scale factor to get 10.24. Find the area of the original figure, which is 32. Multiply 32 and 10.24 to get the area of the enlarged figure, which is 327.68.

Step-by-step explanation:

This is the sample response but I would use the other pearsons answer because it is NOT the sample response.

Have a great day!

Step-by-step explanation:

length of ladder =5 m

Angle formed = 65°

Let h be the Height of the top of the ladder from the ground

Height of the top of the ladder from the ground

SOH-CAH-TOA

Since the hypotenuse side is given and what we are to solve is the opposite side, use SOH

[tex]sinθ\:=\: \frac{opposite}{hypotenuse}[/tex]

[tex]sin(65°)\:=\: \frac{opposite}{5\: m}[/tex]

[tex]opposite\:=\:(5 \:m )\:sin(65°)[/tex]

[tex]opposite\:=\:4.53 \:m[/tex]

Please refer to the photo for the illustration

Answer:

First one is the graph second one is the equation

Step-by-step explanation:

Hope this helps :)

Answer:

Step-by-step explanation:

as graphed

Answer: The answer is 2.

HOPE IT HELPS!!

Answer:

The correct answers are A and E

Step-by-step explanation:

Answer:

Step-by-step explanation:

the amount of mark up is

13*(40/100)=5.20

Answer:

[tex]\huge\boxed{m\angle P = 94\textdegree}[/tex]

Step-by-step explanation:

In order to answer this question, we need to note a couple of things about the angle relationships in a pentagon.

Since we know the sum of all of the angles will be 540, we can create an addition statement to find out the value of x.

[tex]132 + (4x-10) + (5x-11) + 128 + (4x+2)=540[/tex]

Let's solve for x.

Now that we know the value of x, we can substitute it into the expression for point P ([tex]4x+2[/tex]) to find it's value.

Therefore, the angle of measure P is 94°.

Hope this helped!

Answer: C 92) = 0.0625(4)

Step-by-step explanation:

it iz

Answer:

1.5

Step-by-step explanation:

diameter is half the length of the circle so if it is 1.5 the full length will be 3 inches which is the full length of the coaster

Step-by-step explanation:

I think 21 dollars is the answer

Answer:

If the radius of a circle is 5 inches, the diameter is 10.

Step-by-step explanation:

This is because to find the diameter of a circle sing the radius is to multiply it by two. 5x2=10

So the diameter is 10. If you want to find the radius just reciprocate the process, divide the diameter by 2 and yo will get the radius.

I really hope this helped you out. Make sure to give my answer brainliest. Have a radiant day or night ! :D