All categories

2 years ago

Use the distributive property to match equivalent expressions.

Mathematics

1 answer:

NeTakaya2 years ago

4 0

Answer:

<h3>By using the distributive property the matched equivalent expressions are</h3><h3>1) -7(-4+x) =28-7x </h3><h3>2) -7(4-x) =-28+7x </h3><h3>3) 7(4+x) =28+7x </h3><h3>4) 7(-4-x) =-28-7x </h3>

Step-by-step explanation:

Given that by using the distributive property to match the given equivalent expressions.

1) Given expression is -7(-4+x)

<h3>By Distributive property a(b+c)=ab+ac</h3>

-7(-4+x) =(-7)(-4)+(-7)(x)

=28-7x

2) Given expression is -7(4-x)

<h3>By Distributive property a(b+c)=ab+ac</h3>

-7(4-x) =(-7)(4)+(-7)(-x)

=-28+7x

3) Given expression is 7(4+x)

<h3>By Distributive property a(b+c)=ab+ac</h3>

7(4+x) =(7)(4)+(7)(x)

=28+7x

4) Given expression is 7(-4-x)

<h3>By Distributive property a(b+c)=ab+ac</h3>

7(-4-x) =(7)(-4)+(7)(-x)

=-28-7x

Hence the matched equivalent expressions are

1) -7(-4+x) =28-7x

2) -7(4-x) =-28+7x

3) 7(4+x) =28+7x

4) 7(-4-x) =-28-7x

You might be interested in

Denise makes three times as many chocolate cupcakes as vanilla cupcakes. She also makes three dozen strawberry cupcakes. If Deni

slamgirl [31]

Answer:

6 dozens

Step-by-step explanation:

Vanilla, v = x

Chocolate, c = 3x

Strawberry, s = 3 dozens = 36

Total cupcakes = 132

Hence,

x + 3x + 36 = 132

4x = 96

x = 96 / 4

x = 24

Chocolate = 3 * 24 = 72

Dozens of chocolate = 72 /12 = 6 dozens

7 0

2 years ago

Every whole number is a real number . <br> True or false

grandymaker [24]

True. No imaginary number is considered "whole", all whole numbers are rational and real.

8 0

2 years ago

Read 2 more answers

A survey asked 40 students If they play an instrument and if they are in band.

wel

Answer:

352x^2

Step-by-step explanation:

40\times 1.25x\times 2.20x\times 3.2040×1.25x×2.20x×3.20

(40)1.25x2.20x3.20

+ − . ln > <

× ÷ / log ≥ ≤

( ) logx = %

1 Take out the constants.

(40\times 1.25\times 2.20\times 3.20)xx(40×1.25×2.20×3.20)xx

2 Simplify 40\times 1.2540×1.25 to 5050.

(50\times 2.20\times 3.20)xx(50×2.20×3.20)xx

3 Simplify 50\times 2.2050×2.20 to 110110.

(110\times 3.20)xx(110×3.20)xx

4 Simplify 110\times 3.20110×3.20 to 352352.

352xx352xx

5 Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}x

a+b

352{x}^{2}352x

Done

3 0

3 years ago

Erin gets her exercise by running. The graph shows the distances she covers in a given amount of time. How many hours does it ta

DaniilM [7]

Answer:

2½ h

Step-by-step explanation:

Assume the graph is like the one below.

The graph shows how Erin's distance varies with time.

To find out how long it takes Erin to cover 25 mi, find 25 mi on the vertical axis.

From there, draw a horizontal line until it hits the graph.

Then drop a vertical line to the horizontal axis.

It hits half-way between 2 and 3.

It takes Erin 2½ h to run 25 mi.

7 0

2 years ago

Read 2 more answers

PLZ HELP I AM ON A TIME LIMIT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! I WILL GIVE BRAINLY

Anon25 [30]

Answer:

-11

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers