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3 years ago

Simplify the screenshot below

Mathematics

1 answer:

djyliett [7]3 years ago

6 0

Answer:

-4x - 16y

Step-by-step explanation:

Given:

-4(3x - 2x + 4y)

Required:

Simplify

Solution:

To simplify, apply the distributive property by multiplying every term that is inside the brackets by -4

Thus:

-4*3x -4*-2x -4*+4y

-12x + 8x - 16y

Add like terms

-4x - 16y

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In △ABC, G is the centroid. If CG=12 find CD.

VladimirAG [237]

Answer:

CD = 24

Step-by-step explanation:

If G is the centroid, then CG = GD. (12 = 12)

Since CD is CG and GD combined, we would just add these two numbers to find the total length of CD.

CG + GD = CD

12 + 12 = 24

5 0

2 years ago

A middle school yearbook committee has 35 members. There are 7 more girls than boys. Write a system of linear equations, define

frez [133]

if the number of boys is x ,then the number of girls is x+7,so 2x+7=35,we can know x=9,so the number of boys is 9,and girls are 16

5 0

3 years ago

The diagram represents the shape and dimensions of Kayla's garden. A special fertilizer is used for the vegetable garden. Each b

Serjik [45]

Answer:

B. 18 bags

Step-by-step explanation:

First you need to determine the area of the vegetable garden. The vegetable garden is a rectangle with the following dimensions:

L = 24 ft

W = 9 ft

The Formula for the area of a rectangle is:

$A = L\times W$

So let's solve it:

$A = L\timesW\\A = 24 ft\times9ft\\A= 216ft^{2}$

With that, we can figure out how many bags of fertilizer would be needed by dividing the area of the vegetable garden by how much one bag of fertilizer covers:

$\dfrac{214ft^2}{12ft^2/bag}=18\;bags$

3 0

3 years ago

Read 2 more answers

A student solving for the acceleration of an object has applied appropriate physics principles and obtained the expression a=a1+

egoroff_w [7]

Answer:

$a=\frac{3\times 7}{7}+\frac{12}{7}$ (First step for obtaining a common denominator for the two fraction)

$a=\frac{33}{7}\text{ m/s}^2$

Step-by-step explanation:

$\text{Given Expression: }a=a_1+\frac{F}{m}$

where,

a is acceleration of an object.(Need to calculate)

$a_1=3.00\text{ m/s}^2$

$F=12.0\text{ Kg.m/s}^2$

$m=7.00\text{ kg}$

$\text{Substitute }a_1, \text{ F, and m into expression and we get}$

$a=3+\frac{12}{7}$

Now we will simplify above expression for a

First we make common denominator.

Common denominator is 7. So, we make both denominator 7. We multiply by 7 at top and bottom with 3. We get

$a=\frac{3\times 7}{7}+\frac{12}{7}$ (First step for obtaining a common denominator for the two fraction)

Now we combine the numerator

$a=\frac{21+12}{7}$

$a=\frac{33}{7}\text{ m/s}^2$

3 0

3 years ago

Read 2 more answers

What’s he answer thanks

gayaneshka [121]

24 miles = 326 gallons

divide each side by 24: 1 mile = 13.583 gallons

round: 13.6 miles per gallon

7 0

3 years ago

Read 2 more answers