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3 years ago

Which is a correct first step in solving 5 - 2x < 8x - 3?

Mathematics

2 answers:

Natasha2012 [34]3 years ago

4 0

Answer:

5< 10x -3

add like terms first

make sure X's are on one side and numbers on the other

Trava [24]3 years ago

4 0

Answer:

5 < 10x - 3

Step-by-step explanation:

5 - 2x < 8x - 3?

Add 2x to each side

5 - 2x+2x < 8x - 3+2x

5 < 10x - 3

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Part B if the height of each prism is 10 Cm what is the surface area prism

Evgen [1.6K]

Answer:

Prism A:

$Area = 288cm^2$

Prism B:

$Area =250cm^2$

Step-by-step explanation:

Given

See attachment for prisms

$Height(h) = 10cm$

Required

Determine the surface area of both prisms

Prism A is triangular and as such, the surface area is:

$Area = 2 * A_b + (a + b + c) * h$

Where

$A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}$

and

$s = \frac{a + b + c}{2}$

Such that a, b and c are the lengths of the triangular sides of the prism.

From the attachment;

$a = 8; b =6; c =10$

So, we have:

$s = \frac{a + b + c}{2}$

$s = \frac{8 + 6 + 10}{2}$

$s = \frac{24}{2}$

$s = 12$

Also:

$A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}$

$A_b = \sqrt{12 * (12 - 8) * (12 - 6) * (12 - 10)}$

$A_b = \sqrt{576}$

$A_b = 24$

So:

$Area = 2 * A_b + (a + b + c) * h$

$Area = 2 * 24 + (8 + 6 + 10) * 10$

$Area = 288cm^2$

Prism B is a rectangular prism. So, the area is calculated as:

$Area = 2 * (ab + bh + ah)$

From the attachment

$a = b = 5$

$h =10$

So:

$Area =2 * (5 * 5 + 5 * 10 + 5 * 10)$

$Area =250cm^2$

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3 years ago

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Answer:

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3 years ago

3/4 of what equals 75

nignag [31]

100
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3 years ago

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Triangle X Y Z is shown. Line Z X is extended through point W to form exterior angle W X Y.

Y_Kistochka [10]

Answer:

C: m∠WXY + m∠YXZ = 180°

Step-by-step explanation:

edu is annoying to do, i got you :)

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3 years ago

An original investment of $15,000 earns 7.25% interest compounded continuously. What will the investment be worth in 3 years? 30

horrorfan [7]

Answer:

$A = Pe^{rt}$

A = 1500 $e^{.0725 t}$

3 years = $18,644.48

30 years = $132,032.78

Step-by-step explanation:

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3 years ago