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2 years ago

-34 + 91 = -3 (4x + 1) + 6x

Mathematics

2 answers:

ra1l [238]2 years ago

3 0

$-34 + 91 = -3(4x+1) + 6x\\57 = -12x - 3 + 6x\\6x = -60\\x= -10\\$

Thus x = -10.

Hope that helps!

ryzh [129]2 years ago

3 0

X=-10
Look at the attached picture to see how to do it.

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2 years ago

Karen earns $54.60 for working 6 hours. If the amount she earns varies directly with the

Andrei [34K]

Given:

Karen earns $54.60 for working 6 hours.

Amount she earns varies directly with the number of hours she works.

She need to work to earn an additional $260.

To find:

Number of hours she need to work to earn an additional $260.

Solution:

Let the amount of earnings be A and number of hours be t.

According to question,

$A\propto t$

$A=kt$ ...(i)

where, k is constant of proportionality.

Karen earns $54.60 for working 6 hours.

$54.60=k(6)$

Divide both sides by 6.

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Put k=9.1 in (i).

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$260=9.1t$

Divide both sides by 9.1.

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2 years ago

A tank in the shape of an inverted right circular cone has height 7 meters and radius 2 meters. It is filled with 5 meters of ho

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Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

Five spheres are being painted for a display at a store. If the diameter of each sphere is

ivanzaharov [21]

<h2>Hello!</h2>

The answer is:

The total area is:

$TotalArea=192.4cm^{2}$

To find the cloasest value to the total surface area that will be painted, we need to calculate the area of a single sphere, and then, multiply it by 5.

We know that the diameter of each sphere is 7 centimeters, so, calculating we have:

Calculating the radius we have,

$diameter=2*radius\\\\radius=\frac{diameter}{2}=\frac{7cm}{2}=3.5cm$

Then, calculating the area, we have:

$Area=\pi radius^{2}$

$Area=\pi 3.5cm^{2}=38.49cm^{2}$

Now that we have calculated the surface area of a single sphere, we need to calculate the area of the five spheres.

So, calculating we have:

$TotalArea=5*38.48cm^{2}=192.4cm^{2}$

Hence, the total area is:

$TotalArea=192.4cm^{2}$

Have a nice day!

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2 years ago