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3 years ago

Use the GCF and the distributive property to express the sum as a product 35+25

Mathematics

1 answer:

lara [203]3 years ago

3 0

Answer:

Step-by-step explanation:

Given the expression 25+35.

Given A, B and C, according to distributive property:

A(B+C) = AB + BC

A is distributed over B and C where A is the GCF in this case. Applying this in the expression given

25 = 5 * 5

35 = 5* 7

25+35 = (5*5)+(5*7)

25+35 = 5(5+7)

5(5+7) = 5(5) + 5(7) (Distributive property)

You might be interested in

-4 (r + 2) = 4 (2 - 2r)

Nady [450]

Answer:

r=4

Step-by-step explanation:

Let's solve your equation step-by-step.

−4(r+2)=4(2−2r)

Step 1: Simplify both sides of the equation.

−4(r+2)=4(2−2r)

(−4)(r)+(−4)(2)=(4)(2)+(4)(−2r)(Distribute)

−4r+−8=8+−8r

−4r−8=−8r+8

Step 2: Add 8r to both sides.

−4r−8+8r=−8r+8+8r

4r−8=8

Step 3: Add 8 to both sides.

4r−8+8=8+8

4r=16

Step 4: Divide both sides by 4.

r=4

Answer:

r=4

3 0

3 years ago

10 POINTS!! HELP ASAP!! What is the length of AC?

My name is Ann [436]

Answer:

Step-by-step explanation:

Δ CED and Δ CAB are similar thus the ratios of corresponding sides are equal, that is

$\frac{CE}{CA}$ = $\frac{ED}{AB}$ , substitute values

$\frac{x}{156-x}$ = $\frac{7}{84}$ = $\frac{1}{12}$ ( cross- multiply )

12x = 156 - x ( add x to both sides )

13x = 156 ( divide both sides by 13 )

x = 12

Thus

AC = 156 - x = 156 - 12 = 144 → D

4 0

3 years ago

Read 2 more answers

You use a garden hose to fill a wading pool. If the water level rises 11 centimeters every 6 minutes and you record the data poi

irina1246 [14]

Answer:

$y=22\ cm$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

x -----> the number of minutes

y ----> the water level in centimeters

In this problem we have a proportional relationship between the variables x and y

Find the value of k

For x=6 min, y=11 cm

$k=11/6$ -----> the slope is equal to the constant of proportionality k

The linear equation is

$y=(11/6)x$

For (12,y)

we have

x=12 min

substitute in the equation and solve for y

$y=(11/6)12$

$y=22\ cm$

8 0

3 years ago

If a=2 and c=10 what does b equal ? ( Pythagorean Therom

Nataliya [291]

Answer:

b = $\sqrt{96}$

Step-by-step explanation:

a^2 + b^2 = c^2 is the Pythagorean theorem

if A = 2 and C = 10 then you get

2^2 + b^2 = 10^2

or 4 + b^2 = 100

b^2 = 96

b = square root of 96 or approximately 9.8

goodluck on your schoolwork/homework!

-----------------------------------------------------------------

sorry for any errors or bad explanations.

5 0

4 years ago

The mean number of emails adele received during a week was 51.

Diano4ka-milaya [45]

Given:

The mean number of emails adele received during a week was 51.

The numbers received for the six days were 39, 57, 70, 45, 71, 32.

To find:

The number of emails received on the seventh day.

Solution:

Let x be the number of emails received on the seventh day.

We know that,

$\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}$

$51=\dfrac{314+x}{7}$

Multiply both sides by 7.

$357=314+x$

Subtract 314 from both sides.

$357-314=x$

$43=x$

Therefore, she received 43 emails on the seventh day.

3 0

3 years ago