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3 years ago

Emma wants to use the distributive property to solve this equation.

2 answers:

6 0

The property states that you can divide both sides of an equation by the same number (of course it can't be zero). So, since we want to solve for $x$ , but the equation involves $5x$ , if we divided both sides by $5$ we would isolate $x$ . In fact, the equation becomes

$\frac{5x}{5} = \frac{40}{5} \iff x=8$

And we have solved the equation, because we found the correct value of $x$ .

OLEGan [10]3 years ago

5 0

the answer is x= 8, because 5 divided by 40 is 8

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The diameter of a sphere is 8 centimeters. What is the volume of the sphere? Use 3.14 for pi. Enter your answer, as a decimal, i

Angelina_Jolie [31]

The volume of a sphere is given by the equation $V= \frac{4}{3} \pi r^3$ , where r is the radius.

We are given the diameter of the sphere, but recall that the diameter is twice the radius: $d=2r$ . So the radius is half of the diameter: $r= \frac{1}{2}d$ .

Half of 8 cm is 4 cm.

We substitute this for r in the equation and we use 3.14 for <span>π.</span>

$V= \frac{4}{3}(3.14)(4)^3= \frac{(4^4)(3.14)}{3}=267.9 \ cm^3$

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3 years ago

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balandron [24]

It’s either length or area.

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3 years ago

natulia [17]

The surface area of the smaller prism is 9/25 the area of the larger one. So the linear dimensions are in the ratio of 3:5 .

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4 years ago

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For which independent value do the equations generate the same dependent value?

nalin [4]

Answer:

$x = - 3$

Step-by-step explanation:

The equations given are:

$y_1=6x+10$

$y_2=4x+4$

For the equations to generate the same independent value, then

$y_1=y_2$

This implies that:

$6x+10 = 4x + 4$

Group similar terms to get:

$6x - 4x = 4 - 10$

Simplify to get:

$2x = - 6$

$x = - 3$

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3 years ago

Which equations represent hyperbolas?

bezimeni [28]

Try this option:
1. Common view of hyperbola equation is:
$\frac{x^2}{a} - \frac{y^2}{b} =1 \ , where \ a,b-numbers$
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3 years ago

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