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nadezda
3 days ago
5

Given: 4d=1/3(c-d) Proof= c=13d

Mathematics
1 answer:
Leona [4.1K]3 days ago
4 0

Answer:

c = 13d

Step-by-step explanation:

We begin with:

4d=1/3(c-d)

Expanding this gives:

4d = 1/3c - 1/3d

Adding 1/3d to each side results in:

4d + 1/3d = 1/3c

Combining 4d and 1/3d yields:

12d+d/3 = 1/3c

Then, we simplify to get:

13/3d = 1/3c

To isolate c, we rearrange:

c = 13/3d ÷ 1/3

Which further simplifies to:

c = 13/3d × 3/1

Thus, the final result is:

c = 13d

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Consider this equation: –2x – 4 + 5x = 8 Generate a plan to solve for the variable. Describe the steps that will be used.
tester [3895]

The equation given is –2x – 4 + 5x = 8, and the task is to find the value of x. To start, combine like terms and reorganize the equation:

-2x + 5x = 8 + 4
Next, simplify both sides:

3x = 12
Divide both sides by 3 to isolate x:
x = 4.
Therefore, the solution for x is 4.

6 0
14 days ago
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Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 0.35 m3 of fluffy
Svet_ta [4296]

Complete Question

Angela has constructed a wedge-shaped pillow for her TV watching needs. It contains 0.35 m³ of fluffy material. The pillow's base area measures 0.5m², and its height stands at 1m.

What is the length of the pillow?

Provide an exact answer (no rounding).

Answer:

1.4m

Step-by-step explanation:

A wedge can be defined as a Triangular prism. Thus,

The volume formula for a wedge (Triangular prism) is given by: 1/2 × B × H × L

b = 0.5m

h = 1 m

l =??

Volume of the wedge = 0.35 m³

0.35 = 1/2 × 0.5 × 1 × L

0.35 = 0.25 × L

Solving for L, we get: L = 0.35/0.25

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8 days ago
A direct variation function contains the points (–8, –6) and (12, 9). Which equation represents the function? y = –4/3x y = –3/4
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Answer:

First, we must calculate the slope

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= 15/20

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Therefore, the equation with the slope of 3/4 is Y=3/4x

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I think the answer is A
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12 days ago
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Respuesta:

El total de la factura de Isaac es $84.53

Explicación detallada:

$37.00 + $42.00 = $79.00 < b (factura)

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