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3 years ago

Choose the number sentence that illustrates the distributive property of multiplication over addition.

Mathematics

2 answers:

crimeas [40]3 years ago

8 0

Answer:

Answer b

Step-by-step explanation:

because it is dp

marin [14]3 years ago

6 0

Answer:

3*(7 + 2) = 3*7 + 3*2

Option 3

Step-by-step explanation:

Distributive property of multiplication over addition:

a*(b+ c) = (a*b ) + (a * c)

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Find x so that (x,-14) is a solution to 2x+3y=12

Monica [59]

Answer:

Question:

Find $x$ so that $(x,-14)$ is a solution to $2x+3y=12$ .

Step-by-step explanation:

So we are asked to replace $y$ with -14 and solve for $x$ in the equation:

$2x+3y=12$ .

$2x+3y=12$ with $y=-14$ :

$2x+3(-14)=12$

$2x-42=12$

Add 42 on both sides:

$2x=54$

Divide both sides by 2:

$x=27$ .

So the $x$ -coordinate that corresponding to $y=-14$ is $27$ .

Verify that:

$(27,-14)$ is a point satisfying $2x+3y=12$ .

Replace $x$ with 27 and $y$ with -14:

$2(27)+3(-14)=12$

$54+-42=12$

$12=12$ is true so our work must be right.

3 0

3 years ago

Mia currently has 10 email subscribers to her blog and gains an average of 10 new subscribers per day. Julie currently has 100 e

user100 [1]

Answer:

Equations:

Mia: 10 + 10x = y

Julie: 100 - 5x = y

Solved: (6, 70)

Step-by-step explanation:

Mia: 10 + 10x = y

She already has 10 (10) and gains 10 (+10) per day (x). Total is y gained.

Julie: 100 - 5x = y

She already has 100 (100) and loses 5 (-5) per day (x). Total is y gained.

Then I simply solve

10 + 10x = y

100 - 5x = y

Resulting in (6, 70)

6 0

3 years ago

Ariel made cupcakes to sell. 2/3 of them were chocolate chip,25% of the reminder was strawberry and the rest were 90 vanilla cup

Anton [14]

Answer:

Let x be the total number of cupcakes.

Chocolate chips =

$\frac{2}{3} x$

Strawberry =

$\frac{1}{4} \times \frac{1}{3} \\ = \frac{1}{12} x$

Vanilla =

$x - \frac{2}{3} x - \frac{1}{12}x \\ = \frac{1}{3} x - \frac{1}{12} x \\ = \frac{1}{4} x$

given

$\frac{1}{4} x = 90$

$x = 90 \div \frac{1}{4} \\ = 90 \times 4 \\ = 360$

a)Number of Chocolate chip Cupcakes =

$\frac{2}{3} \times 360 \\ = 240$

b)Number of Strawberry cupcakes =

$\frac{1}{12} \times 360 \\ = 30$

8 0

3 years ago

Solve the equation. 3 = n + 4 Question 3 options: 7 1 -1 12

zysi [14]

Hey!

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

Steps To Solve:

~Subtract n to both sides

3 - n = n + 4 - n

~Simplify

3 - n = 4

~Subtract 3 to both sides

3 - n - 3 = 3 - 4

~Simplify

n = -1

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

Answer:

$\large\boxed{n~=~-1}$

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

Hope This Helped! Good Luck!

6 0

3 years ago

What is the half of 14.5

Aleks04 [339]

Answer:

7.25

Explanation:

14.5×½=7.25

3 0

3 years ago

Read 2 more answers