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2 years ago

If x varies directly as y, and X = 24 when y= 21, Find x when Y=6

Mathematics

1 answer:

Ne4ueva [31]2 years ago

7 0

Answer:

x = 48/7

Step-by-step explanation:

There's two good ways to do this problem.

Option 1:

Translate "x varies directly as y" into the equation y=kx

Then you have to find k. After you "reset" your y=kx equation, fill in k and then solve for x. See image.

Option 2:

Translate "varies directly" into a proportion, which is two fractions equal to each other:

x/y = x/y

Fill in the three numbers given and cross multiply and solve to find the fourth number. See image.

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A storage pod has a rectangular floor that measures 19 feet by 13 feet and a flat ceiling that is 5 feet above the floor. Find t

max2010maxim [7]

Answer:

Area= 247 feet²

Volume= 1235 feet³

Step-by-step explanation:

A storage pod has a rectangular floor that measures 19 feet by 13 feet and a flat ceiling that is 5 feet above the floor.

Area of the floor= length*width

Length= 19 feet

Width= 13 feet

Area= 19*13

Area= 247 feet²

Volume of the pod= area*height

Height of the pod= 5 feet

Area= 247 feet²

volume= 247*5

Volume= 1235 feet³

4 0

3 years ago

A random sample of 20 married women showed that the mean time spent on housework by them was 29.8 hours a week with a standard d

DanielleElmas [232]

Answer:

95% confidence interval for the mean time spent on housework per week by all married women.

( 26.66 , 32.94)

Step-by-step explanation:

Step(i):-

Given random sample size 'n' = 20

Mean of the sample (x⁻ ) = 29.8 hours

Standard deviation of the sample (S) = 6.7

Given Margin of error = 3.14

Step(ii):-

95% confidence interval for the mean is determined by

$(x^{-} - t_{0.05} \frac{S}{\sqrt{n} } , x^{-} +t_{0.05} \frac{S}{\sqrt{n} })$

We know that margin of error is determined by

$M.E = \frac{t_{0.05}XS.D }{\sqrt{n} } = 3.14$

Now 95% confidence interval for the mean time spent on housework per week by all married women.

$(29.8 - 3.14 , 29.8+3.14)$

( 26.66 , 32.94)

8 0

3 years ago

Write each ratio in its simplest form 8: 10 show working

Sloan [31]

Answer:

Simple solution for that!

4 : 5

Step-by-step explanation:

both 8 and 10 are divided by 2

8 ÷ 2 : 10 ÷2

4 : 5

further can't simplify so 4 : 5 is the answer

8 0

3 years ago

HELP ME GEOMETRY PLZZZZZZZZ solve for SR

nevsk [136]

The answer is SR=3
2x+23+x+21=14
Solve for x you get
x=-10
Substitute x
2(-10)+23=3

8 0

4 years ago

What is the value of the rational expression 2x- 1 x+5 when x = 0?

nikitadnepr [17]

Answer:

Step-by-step explanation

becasue 2x0=0 and 1x0=0

and when you add 5 to 0 you get five

7 0

2 years ago