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Ahat [919]
3 years ago
14

Multi step equation -3(4-x)+3x=3(10-5x)

Mathematics
1 answer:
S_A_V [24]3 years ago
6 0

Answer:

x=2

Step-by-step explanation:

−3(4−x)+3x=3(10−5x)

(−3)(4)+(−3)(−x)+3x=(3)(10)+(3)(−5x)

−12+3x+3x=30+−15x

(3x+3x)+(−12)=−15x+30

6x+−12=−15x+30

6x−12=−15x+30

6x−12+15x=−15x+30+15x

21x−12=30

Step 3: Add 12 to both sides.

21x−12+12=30+12

21x=42

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Step-by-step explanation:

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What is 10/14 divided by 2 equal
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4 years ago
Charles begins finding the volume of a trapezoidal prism using the formula A = One-half(b1 + b2)h to find the prism's base area.
yKpoI14uk [10]

Answer:

The expression that can be used to represent the volume of the trapezoidal prism is  (2x^3+6x^2)

Step-by-step explanation:

step 1

Find the area of the trapezoidal base

The area of a trapezoid is given by the formula

A=\frac{1}{2}(b_1+b_2)h

we have

b_1=(x+2)\ units\\b_2=(x+4)\\h=x

substitute

A=\frac{1}{2}(x+2+x+4)x

A=\frac{1}{2}(2x+6)x

A=(x+3)x\\A=(x^2+3x)\ units^2

step 2

Find the volume of the trapezoidal prism

we know that

The volume of the prim is given by

V=Bh

where

B is the area of the base

H is the height of the prism

we have

B=(x^2+3x)\ units^2

H=2x\ units

substitute

V=(x^2+3x)2x\\V=(2x^3+6x^2)\ units^3

therefore

The expression that can be used to represent the volume of the trapezoidal prism is

(2x^3+6x^2)

7 0
3 years ago
Read 2 more answers
4x - 2y = -8<br> y = 2x + 4<br> Need help show work
Kruka [31]

Answer:

4x - 2y = -8--------equation 1

y = 2x + 4

or, -2x+y=4---------equation 2

multiply equation 2 by 2 and solving equation 1and2 we get,

4x - 2y = -8

-4x+2y=8

---------------=

impossible

8 0
3 years ago
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