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3 years ago

How do I do number 14?

Mathematics

2 answers:

Tju [1.3M]3 years ago

7 0

Answer answer answer

luda_lava [24]3 years ago

3 0

Answer:

1/4^3 = 1/64

Step-by-step explanation:

you just basically multiply 1/4 for the first 3 ones, you multiply $\frac{1}{4} x\frac{1}{4} x\frac{1}{4} = \frac{1}{64}$ . then you do the same but twice and then once.

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A flying carpet flies 2.4 miles with the wind in the same amount of time it flies 1.4 miles against the wind. The wind speed is

Ainat [17]

Answer:

$15.2~mph$

Step-by-step explanation:

Let the time flown by the flying carpet be $t$ . Then, we have that $(2.4)/t=(1.4)/t+2*4$ .

We multiply both sides of the equation by $t$ to get $2.4=1.4+8t$ .

We subtract $1.4$ from both sides to get $1=8t$ .

We divide both sides of the equation by $t=1/8$ .

We know that the speed of the flying carpet in still wind is the average of the rates of the speed of the flying carpet with the wind and against the wind.

The speed with wind is $(2.4)/(1/8)=19.2$ mph.

The speed against wind is $(1.4)/(1/8)=11.2$ mph.

The speed in still wind is $(19.2+11.2)/2=(30.4)/2=15.2$ .

Therefore, the answer is $\boxed{15.2~mph}$ and we're done!

4 0

3 years ago

Simplify<br> x^2(y^3)^4/xy^5=x^a•y^b

givi [52]

Answer: a = 1 b = 7

Step-by-step explanation:

x^2(y^3)^4/x.y^5 = x^a.y^b

x^2(y^12) = x^a.y^b

(x^2).(y^12)/x^y^5 = x.y^7

x.y^7= x^a . y^b -> <u>x^1.y^7</u>

7 0

3 years ago

A can in the shape of a right circular cylinder is required to have a volume of 500 cubic centimeters. The top and bottom are ma

borishaifa [10]

Answer:

The answer to the question is

The total cost C of the material as a function of the radius r of the cylinder is

0.6912·r² + 800/r Dollars.

Step-by-step explanation:

To solve the question, we note that

The area of the top and bottom combined = 2·π·r²

The area of the sides = 2·π·r·h

and the volume = πr²h = 500 cm²

Therefore height = 500/(πr²)

Substituting the value of h into the area of the side we have

Area of the side = 2πr·500/(πr²) = 1000/r

Therefore total area of can = Area of top + Area of bottom + Area of side

Whereby the cost of the can = 0.11×Area of top +0.11×Area of bottom +0.8×Area of side

Which is equal to

0.11×2×π×r²+ 0.8×1000/r = 0.6912·r² + 800/r

The cost of the can is $(0.6912·r² + 800/r)

3 0

3 years ago

Ramona and Beezus love to read books. Ramona reads 16 less than 5 times the number of books Beezus reads. Ramona reads 134 books

Fittoniya [83]

I think the answer is 30, because if 134 +16 is 5 times the number of books Beezus reads, than just divide by 4 for the answer of 30

6 0

3 years ago

Read 2 more answers

Gina wants to take dance classes. She compares two dance studios to determine which has the best deal for her. Dance World charg

fomenos

Answer:

10 classes

Step-by-step explanation:

Given equations in the question

Dance World: y = 15x

Toe Tappers: y = 25 + 12.5x

Where,

x = number of classes

Equate the total cost at both dance studios

15x = 25 + 12.5x

Collect like terms

15x - 12.5x = 25

2.5x = 25

Divide both sides by 2.5

2.5x / 2.5 = 25 / 2.5

x = 10 classes

x = number of classes = 10

4 0

3 years ago