Marisol and Mimi walked the same distance from their school to a shopping mall. Marisol walked 2 miles per hour, while Mimi left an hour later and walked 3 miles per hour. If they reached the mall at the same time how far is the mall from their school?

Answers

Answer 1

Answer: Let the time in hours after Marisol starts walking be t and so the time in hours after Mimi starts walking is (t-1)
The distance walked by Marisol=speed*time=2t
Distance walked by Mimi=3(t-1)

When they've reached school they've all walked the same distance so:
3(t-1)=2t
3t-3=2t
3t-2t=3
t=3
Thus the distance from the mall to their school is 2t=2*3=6 miles

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The legend on a map states that 1 cm is 20 km. If you measure 9 centimeters on the map, how many kilometers would the actual distance be?

Answers

Making a proportion helps solve this problem. Cm on top, km on bottom.

1 9

---- = ----

20 ?

Cross multiply to get 1? = 180

? = 180.

The distance is 180 km.

Final answer:

The conversion of 9 cm on the map to an actual distance, using the given scale of 1 cm for 20 km, results in an actual distance of 180 kilometers.

Explanation:

The question is asking for the actual distance corresponding to 9 cm on the map. According to the given scale on the map, 1 cm corresponds to an actual distance of 20 km. So to find out how many kilometers 9 cm on the map would be in real life, we simply multiply the length measured on the map by the distance each centimeter represents. This gives us:

9 cm * 20 km/cm = 180 km

So, according to the map, 9 cm corresponds to an actual distance of 180 kilometers.

Learn more about Map Scale Conversion here:

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Answers

Answer:

x = 19

Step-by-step explanation:

Question: find x such that f(x) = 2/3

Given f(x) = (-1/3) x + 7

equate the value of f(x) to be 2/3

hence,

(2/3) = (-1/3)x + 7 (multiply both sides by 3)

(3) (2/3) = (3) (-1/3)x + (3) 7

2 = -x + 21

x = 21 - 2

x = 19

Answer:

x = 19

Step-by-step explanation:

Solve for W in the scientific formula c= wtc/1,000

Answers

Answer:

1000/t=w

Step-by-step explanation:

The first thing we need to do is, multiply 1000 to both sides,

c(1000)=wtc

now we need to divide both sides by tc

c(1000))/(tc)=w

The c's on the left side will cancel out

1000/t=w

Step-by-step explanation:

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The value z is directly proportional to c. When z = 20, c = 10. Find an equation relating z and c. *

Answers

Answer:

a) The equation of Z and C is Z =K C

b) K = 2

Step-by-step explanation:

Explanation:-

Given data Z is directly proportional to C

⇒ Z ∝ C

⇒ Z = K C

The equation of relating Z and C

Z = K C

Given Z = 20 and C =10

20 = K ( 10)

⇒ K = 2

Which of the following measurements issmallest?
a. 12 inches
b. 216 inches
c. 412 inches
d. 12/4 inches

Answers

I think it might be A

A construction company can remove 3/4 tons of dirt from a construction site each hour. how long will it take them to remove 36 tons of dirt from the site? (Answer needs to be in simplest form)

Answers

It will take the construction company 48 hours to remove 36 tons of dirt from the site.The construction company can remove $ \frac{3}{4} $ tons of dirt from the site each hour.

To find out how long it will take them to remove 36 tons of dirt, we can set up a proportion

$\frac{\text{Amount of dirt removed}}{\text{Time}} = \frac{\text{Amount of dirt removed}}{\text{Time}}$