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leva [86]
4 years ago
8

While exercising Ricardo walked 1/8 of a mile in 1/9 of an hour. At this rate, how far will he have travelled after an hour?

Mathematics
1 answer:
SSSSS [86.1K]4 years ago
6 0

\bf \begin{array}{ccll} miles&hours\\ \cline{1-2}\\ \frac{1}{8}&\frac{1}{9}\\\\ x&1 \end{array}\implies \cfrac{~~\frac{1}{8}~~}{x}=\cfrac{~~\frac{1}{9}~~}{1}\implies \cfrac{~~\frac{1}{8}~~}{\frac{x}{1}}=\cfrac{1}{9}\implies \cfrac{1}{8x}=\cfrac{1}{9} \\\\\\ 9=8x\implies \cfrac{9}{8}=x\implies 1\frac{1}{8}=x

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susan is driving to her cousin’s house. Susan drives 3 miles every minute. if her cousins house is 40 minutes away, how many mil
lisabon 2012 [21]

Answer:

it would be 125 miles.

Step-by-step explanation:

3 miles a minute for 40 minutes would be 40 x 3 which equals 120.

add the 5 miles going to the store would be 125.

I THINK I DID IT IM SO PROUD RN.

7 0
3 years ago
Kelly skated 4 laps in 86 seconds. Which of the following is an equivalent rate of skating?
ikadub [295]

Answer:

D: 10 laps in 215 seconds

Step-by-step explanation:

86/4 = 21.5 seconds per lap

I went through and multiplied each lap number by the time per lap and the last one, D is the right answer!

Have an amazing day!

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3 0
3 years ago
One gallon of paint covers 400 square feet of surface area. A typical spherical water tower holds 66,840.28 cubic feet of water.
fredd [130]

Answer:

They would need approximately 20 gallons of paint for the water tower, so yes, 25 gallons would be enough.

Step-by-step explanation:

In order to find out if there is enough paint for the surface area of the sphere, you need to first find the radius of the object so you can determine the measure of the entire surface area.  Since they give us the volume, we can use that to solve for the radius using the volume formula:  V = πr³  or 66840.28 = πr³.  Using inverse operations, you can first multiply both sides of the equation by the reciprocal of 4/3 or 3/4, then divide by π, this gives you 15,965 = r³.  In order to find 'r', take the cube root of both sides:  ∛15965 = ∛r³  or r ≈ 25.

Now that you know radius = 25, you can use the formula for surface area:  SA = 4πr²  or 4π(25)² ≈ 7850 ft².  Since one gallon of paint covers 400 square feet, we can take our total and divide by 400 to find the number of gallons:  7850 ÷ 400 ≈ 19.6.  In total, we would need 19.6 gallons of paint for the water tower, so if there are 25 gallons available, there is enough.


3 0
3 years ago
For a standard normal distribution (µ=0, σ=1), the area under the curve less than 1.25 is 0.894. What is the approximate percent
Nesterboy [21]

Answer:

10.6%

Step-by-step explanation:

Normal curves are symmetrical.  That means that on a standard normal distribution,  the area less than -1.25 is the same as the area greater than +1.25.  The total area under the curve is 1, so:

P = 1 - 0.894

P = 0.106

Approximately 10.6% of the area under the curve lies below -1.25.

8 0
4 years ago
Y=x²-6x+8 what is y when x is 0?
jarptica [38.1K]

Answer:

The value of y is 8.

Step-by-step explanation:

In order to find the value of y, you have to put in x = 0 into the equation :

y =  {x}^{2}  - 6x + 8

Let x = 0,

y =  {0}^{2}  - 6(0) + 8

y = 8

6 0
4 years ago
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