# If y varies directly with x and y = 10 when k = 10, what is the value of x?

y = k *x
y=10 ; k=10

10 = 10*x
x = 10/10 = 1

x =1

## Related Questions

Equation of the line perpendicular to 2x+y=3 & passes through points (2,-5)

the equation of line that is perpendicular to 2x+y=3 & passes through points (2,-5) is:

Step-by-step explanation:

Given equation of line is:

Let m1 be the slope of given line and

m2 be the slope of line perpendicular to given line

The slope of first line will be (The coefficient of x)

m1 = -2

We know that the product of slopes of two perpendicular lines is -1

So,

slope-intercept form is:

Putting the value of slope we get

Putting the point in the equation

Putting the value of b

Hence,

the equation of line that is perpendicular to 2x+y=3 & passes through points (2,-5) is:

Keywords: slope, Equation of line

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a rectangular prism has a volume of 810 cubic meters. it has a length of 10 meters and a width of 9 meters. What is the height of the prism

The height of the prism is 9 meters

Step-by-step explanation:

* Lets describe the rectangular prism

- The rectangular prism has six rectangular faces

- Two of them are bases and the other four are side faces

- The rectangular prism has three dimensions length, width , height

- The volume of any prism = Area of the base × its height

∵ The base of the rectangular prism is a rectangle

∵ Area any rectangle = length × width

∴ The volume of the rectangular prism V = length × width × height

* Lets solve the problem

∵ The volume of the prism is 810 meter³

∵ Its length is 10 meter

∵ Its width is 9 meters

∵ V = length × width × height

- Substitute the values of the volume , the length and the width in

the equation of V

∴ 810 = 10 × 9 × h

∴ 810 = 90 × h

- Divide both sides by 90

∴ 9 = h

∴ The height of the prism is 9 meters

Is 45/5 equal to a whole number or a mixed number?

45/5 is the same as 45 divided by 5.

9 times 5 is 45.

45 divided by 5 is 9.

The answer is an equal number (9).
45/5 is equal to a whole number because 45 is divisible by 5.

X-3y=17
-6x+5y=-11
Solving systems by substitution

Step-by-step explanation:

x-3y=17 Add 3y to both sides to isolate x.

x=3y+17 Now you can substitute this into the other equation.

-6(3y+17)+5y=-11

-18y-102+5y=-11

-13y-102=-11

-13y=91

y=-7 Substitute this back into any equation to find x.

x-3(-7)=17

x+21=17

x=-4

o decorate his bedroom, Mike spent \$41.64 on new bedding, \$36.84 on paint, and \$72.49 on accessories. About how much did he spend to decorate his bedroom?

He spent 150.97 hope this helps :) have a good day

Mike spent \$150 on his decorations.

Step-by-step explanation:

In order to find the amount of money Mike spent on his decorations you must add all the costs together.

\$41.64 + \$36.84= \$78.48

\$78.48 + \$72.49= \$150.97

Then you round 150.97 to 151, which is also close to 150.

Hope this helps :)

If you place a 13-foot ladder against the top of a 12-foot building, how many feet will the bottom of the ladder be from the bottom of the building?

5 feet

Step-by-step explanation:

When you place a 13-food ladder against the top of a 12-foot building, the ladder becomes the hypotenuse of the right angle triangle formed.

Let x be the distance of the bottom of the ladder away from the bottom of the building.

Using the Pythagoras Theorem we obtain:

This implies that:

The bottom of the ladder will be 5 feet away from the bottom of the ladder

Lucy walks 3/4 of a mile. Sergio walks 3/6 of a mile. Who walks farther?

Lucy because 3 is closer to the 4 than 3 is to 6. So Lucy walked 75% of the mile and Sergio walked 50%.

lucy

Step-by-step explanation:

sergio walks 1/2

Luke can read 4 pages in 1 minute. Write the ordered pair for Luke reading 0,1,2 and 3 minutes

(0,0) (4,1) (8,2) (12,3)

A one year membership to a health club costs \$480. This includes a \$150 fee for new members that is paid when joining. Which equation represents the monthly cost x in dollars for a new member?