For each expression, write an equivalent expression by applying the distributive
property.
2. (x + 4)(2x - 1)

Answer: [tex]\frac{2}{3}[/tex] of the total employees is women.

Step-by-step explanation:

Given :  total number of employees remains constant.

Men hired = 250 per year

Women hired = 200 per year

Women stay 50% longer,

The number of women is: [tex]200+\frac{50}{100}\times 200=300[/tex]

The number of men is: 250

Thus total employees = 300 + 250 = 550

Proportion of women = [tex]\frac{\text {Number of women}}{\text {total employees}}=\frac{300}{550}=\frac{2}{3}[/tex]

Thus [tex]\frac{2}{3}[/tex] of the total employees is women.

Answer:

17

Step-by-step explanation:

You have to multiply 2 and 9 first, so the product is 18. Now you have to subtract that from 1 itself and therefore, the final answer is 17.

Hope this helps you!?!

Answer:

16π/9

Step-by-step explanation:

40°/360° = 1/9

40° is 1/9 of a circle

Arc length = 1/9 of circumference = (1/9)2πr = 16π/9

Answer:

1. Z

2. XY

Step-by-step explanation:

Step-by-step explanation:

make it braintliest please

Answer:

x=29

Step-by-step explanation:

180=2x -13 +7x-68

combine like terms

180 = 9x-81

add 81 on both sides

261 =9x

divide 9 on both sides

29 =z

Answer:

Ok, so when you graph, you want to make sure your point are right. 4, would be im guessing +4, so you would find +4, on your graph across the X axis. Keep that in mind. Then find +3, across the Y axis on your graph. Join the points, and you have your answer.

Step-by-step explanation:

I hope this helps you

Answer:

The answer is [tex]\frac{4}{3}[/tex] or 1 [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Answer:

X= 40

Step-by-step explanation:

A triangle always equals 180°. In order to find x, add 75 and 65,

75 + 65 =140

then divide 140 and 180,

180 / 140 = 40

then in order to make sure it's the right answer add 75,65, and 40 together. If it equals to 180, then it's the right answer.

Answer:

Step-by-step explanation:

1). Angle BFC and angle DFE,

  Vertical angles.

2). Angle BFA and angle DFE,

  Neither

3). Angle BFC and angle CFD,

  Linear pair of angles.

4). Angle AFE and angle AFC,

  Linear pair of angles.

5). Angle BFE and angle CFD,

  Vertical angles.

6). m∠AFB + m∠AFE + m∠EFD = 180° [Linear angles]

    Since, m∠AFB = m∠EFD = 50°

    Therefore, 50° + m∠AFE + 50° = 180°

    m∠AFE = 180 - 100

                  = 80°

7). m∠DFC = m∠BFE [Vertical angles]

    m∠BFE = m∠BFA + m∠AFE

                 = 50° + 80°

                 = 130°

    Therefore, m∠DFC = 130°

Answer: First, you identify how many rises and runs the line is from each point on a graph (intersection). Then you take the y's and the x's and do y2-y1/x2-x1 to get the slope!

Given:

A figure of a triangle.

To find:

The value of x.

Solution:

In a triangle, angle bisectors intersect each other at a point which is know as incenter. This point is equidistance form the each side.

Using the above property, we get

[tex]4x-2=6x-8[/tex]

[tex]4x-6x=2-8[/tex]

[tex]-2x=-6[/tex]

Divide both sides by -2.

[tex]x=\dfrac{-6}{-2}[/tex]

[tex]x=3[/tex]

Therefore, the value of x is 3.

Answer:

36

Step-by-step explanation:

1^3 + 2^3 + 3^3 = 1 + 8 + 27 = 36

Answer:

When making bread from scratch, the recipe calls for 2/3 cup of water

Step-by-step explanation:

Answer:

$3

Step-by-step explanation:

Multiply 4 by 23 because there are 4 people. Then subtract that from 104 to find the overall cost of lockers. That cost is $12. Divide that by 4 to find each individual cost therefore getting our answer of $3.

Answer:

3$

Step-by-step explanation

admission fee * # of people

23*4=92

total cost - total cost of admission fee

104-92=12

leftover money / # of people = cost for 1 person

12/4=3

For one person it cost 3$

The Commutative property can be used to rewrite 2a + (10 - 4)

This law simply states that with addition and multiplication of numbers, you can change the order of the numbers in the problem and it will not affect the answer.

The commutative property is satisfied not only in addition but also in multiplication. It is given by:

a + b = b + a

a * b = b * a

2a + (10 - 4) = 2a + 6

2a + 6 = 6 + 2a

The Commutative property can be used to rewrite 2a + (10 - 4)

Find out more on commutative property at: https://brainly.com/question/2475734

Answer:

to find the circumfrence of a circle you need to do 2 times pi times the radus. the circumfrence of a circle is the outside rim of the circle.

Step-by-step explanation:

Answer: you are doing hell jesus

Step-by-step explanation:

Answer:

a. the number of minutes jessica walked

Step-by-step explanation:

because it doesnt necessarily tell us how much minutes she walked.

Answer:

EXAMPLE

Pete bought a shirt on sale for $

18

18, which is one-half the original price. What was the original price of the shirt?

Solution:

Step 1. Read the problem. Make sure you understand all the words and ideas. You may need to read the problem two or more times. If there are words you don’t understand, look them up in a dictionary or on the Internet.

In this problem, do you understand what is being discussed? Do you understand every word?

Step 2. Identify what you are looking for. It’s hard to find something if you are not sure what it is! Read the problem again and look for words that tell you what you are looking for!

In this problem, the words “what was the original price of the shirt” tell you what you are looking for: the original price of the shirt.

Step 3. Name what you are looking for. Choose a variable to represent that quantity. You can use any letter for the variable, but it may help to choose one that helps you remember what it represents.

Let

p

=

p= the original price of the shirt

Step 4. Translate into an equation. It may help to first restate the problem in one sentence, with all the important information. Then translate the sentence into an equation.

The top line reads:

Step 5. Solve the equation using good algebra techniques. Even if you know the answer right away, using algebra will better prepare you to solve problems that do not have obvious answers.

Write the equation.

18

=

1

2

p

18=12p

Multiply both sides by 2.

2

⋅

18

=

2

⋅

1

2

p

2⋅18=2⋅1Step 3. Name what you are looking for. Choose a variable to represent that quantity. You can use any letter for the variable, but it may help to choose one that helps you remember what it represents.

Let

p

=

p= the original price of the shirt

Step 4. Translate into an equation. It may help to first restate the problem in one sentence, with all the important information. Then translate the sentence into an equation.

The top line reads:Step 5. Solve the equation using good algebra techniques. Even if you know the answer right away, using algebra will better prepare you to solve problems that do not have obvious answers.

Write the equation.

18

=

1

2

p

18=12p

Multiply both sides by 2.

2

⋅

18

=

2

⋅

1

2

p

2⋅18=2⋅12p

Simplify.

36

=

p

36=pStep 6. Check the answer in the problem and make sure it makes sense.

We found that

p

=

36

p=36, which means the original price was

$36

$36. Does

$36

$36 make sense in the problem? Yes, because

18

18 is one-half of

36

36, and the shirt was on sale at half the original price.Step 7. Answer the question with a complete sentence.

The problem asked “What was the original price of the shirt?” The answer to the question is: “The original price of the shirt was

$36

$36.”

If this were a homework exercise, our work might look like this:

The top reads,

TRY IT

Answer:

a=-1+[(9b)/5]

b=(5/9)+[(5a)/9]

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

12 6 times

Answer:

it's 72 :>

Step-by-step explanation:

Answer:

Division

Step-by-step explanation:

BIDMAS

Brackets, indices, division, multiplication, addition, subtraction

or

BODMAS

Brackets, operations, division, multiplication, addition, subtraction

Answer:

Step-by-step explanation:

-4x - 3 = - 19

Bringing like terms on one side

-4x = - 19 + 3

-4x = - 16

x = - 16/-4

x = 4

Answer:

x=4

Step-by-step explanation:

-4x-3=-19

add -3 to the right side of the equation so -19+3

which will give you -16

then  divide by -4

so x=4

Answer: B,C,E,F

Step-by-step explanation:1/6 times 5 on top and bottom to get choice B. 1/6 times 3 on top and bottom to get choice  C . 1/6 times 4 on top and bottom to get choice E .1/6 times 2 on top and bottom to get choice F.

Answer:

(-19, -7)

Step-by-step explanation:

y=x+12

x+12+x=-26

2x=-14

x=-7

y + x = -26

y -7 = -26

y = -19

Answer:

I believe the answer is

h + 5 = 8 < 6y

Answer:

0.91

Step-by-step explanation:

Its 0.91 because 0.85 + 1 = 0.86 + 2 = 0.88 + 3 = 0.91

Answer:

Step-by-step explanation:

12/5=2.4 lb of blueberry in each pie

4/5=4/5 not a mixed number

5/4=1 1/4

12/20=3/5