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3 years ago

How can one sixthx − 5 = one fifthx + 2 be set up as a system of equations?

Mathematics

2 answers:

Len [333]3 years ago

7 0

Answer:

6y - x = -30 and 5y - x = 10

Step by Step:

They want you to remove the fractions from the x-values. How can we remove the 1/6 from the x in the first equation? We can multiply the entire equation (both sides) by 6 because it cancels out the 1/6 found in the x-value. This achieves 6y = x - 30 for our first equation. This can be changed to 6y - x = -30.

How can we remove the 1/5 from the x-value in the second equation? We can multiply the entire equation by 5, since that cancels with the 1/5 coefficient found in the x-value. This gets us 5y = x + 10. This can be changed to meet our answer choices to 5y - x = 10.

s2008m [1.1K]3 years ago

5 0

For problems like these, we can set both sides of the equation equal to y. This is because both sides of the equation are equal to each other. If we were to take the left side of the equation and set it equal to y, the right side would also be equal to y. Similarly, if we were to set the right side of the equation equal to y, the left side of the equation would also be equal to y. Setting both equations equal to y will produce two equations which can be used in a system of equations.

Thus, our answer is:
y = (1/6)x - 5
y = (1/5)x + 2

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Nicole is running for school president. Her best friend designed a campaign poster, which measured 3 feet by 2 feet. Nicole like

melamori03 [73]

Answer:

The scale factor is 18 to 1 for the painting

Step-by-step explanation:

Here we want to get the scale factor of the original to what is reproduced

Let us have same units first

Mathematically;

1 foot = 12 inches

3 feet = 36 inches

2 feet = 24 inches

So 36 to 2 and 24 to 1 1/3

That will be ratio 36/2 = 18 to 1

same as 25 divided by 1 1/3 = 18 to 1

8 0

3 years ago

Determine the mass of a solid steel ball that has a diameter of 10 cm. The density of pure steel is 8.09 g/cm3

Basile [38]

Answer:

<em>The mass of the steel ball is 4,235.9 gr</em>

Step-by-step explanation:

<u>Density</u>

The density ρ of a substance is a measure of its mass per unit volume:

$\displaystyle \rho=\frac{m}{V}$

If the density and the volume are given, the mass can be calculated by solving the above formula for m:

$m=\rho.V$

We know the density of pure steel ρ=8.09 gr/cm3 and the diameter of a solid steel ball d=10 cm.

We need to calculate the volume of the sphere:

The volume of a sphere of radius r is given by:

$\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3$

The radius is half the diameter: r= 10/2 = 5 cm. Thus:

$\displaystyle V=\frac{4}{3}\cdot \pi\cdot 5^3$

Calculating:

$V=523.6\ cm^3$

The mass is:

$m=8.09 gr/cm^3 \cdot 523.6\ cm^3$

m=4,235.9 gr

The mass of the steel ball is 4,235.9 gr

4 0

3 years ago

What is the equation of the line?

hram777 [196]

Answer:

The Second one y=1/3x

Step-by-step explanation:

Because when you substitute x by 3 ( for example) then, you get y = 1

and that's right from the graph.

3 0

3 years ago

A cylindrical can containing pieces of fruit is filled to the top with syrup before being sealed. The base of the can has an are

LekaFEV [45]

Answer:

The total volume of the pieces of fruit in the can is $640\ cm^{3}$

Step-by-step explanation:

step 1

Find the volume of the cylindrical can

The volume of the can is equal to

$V=BH$

where

B is the area of the base of the can

H is the height of the can

we have

$B=75\ cm^{2}$

$H=10\ cm$

substitute

$V=(75)(10)=750\ cm^{3}$

step 2

Find the volume of the pieces of fruit in the can

The volume of the pieces of fruit in the can is equal to subtract the volume of syrup from the volume of the can

$750\ cm^{3}-110\ cm^{3}=640\ cm^{3}$

8 0

3 years ago

Read 2 more answers

(20 points!) Delisa is designing a website that will be viewable on both computers and mobile devices, so the website as it is s

gavmur [86]

Delisa's computer monitor is 21 inches, and the diagonal of Delisa's tablet is 9.7 inches.

Hope this helped!

6 0

3 years ago