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Ostrovityanka [42]
3 years ago
6

Solving a word problem involving rates and time conversion

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
7 0

Answer:

It takes 4.75 hours to travel 247 miles.

Step-by-step explanation:

This question is solved by proportions, using a rule of three.

A car travels at an average speed of 52 miles per hour.

This means that in 1 hour, the car travels 52 miles. How many hours for it to travel 247 miles?

1 h - 52 m

x h - 247 m

Applying cross multiplication

52x = 247

x = \frac{247}{52}

x = 4.75

It takes 4.75 hours to travel 247 miles.

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For a scavenger hunt, Jim's mom distributed a bag of 875 jelly beans evenly into 25 plastic containers and hid them around the
kupik [55]

Answer:

Jim only found 15 of the containers.

Step-by-step explanation:

If his mom hid 875 jelly beans evenly into 25 containers we can easily multiply 25 x 35 = 875, which means there were 35 jelly beans in each container.

Jim only found an amount of 385 jelly beans. To find out how many containers he found, all you have to do is divide 385 by 25 which gives us 15.4.

15.4 rounded to the nearest whole number is 15. So your answer would be that Jim found only 15 out of 25 containers.

6 0
2 years ago
Linda has $10, Rick has &12, they both put there money together to buy a pizza that cost $14, they buy it, then someone give
prohojiy [21]
First you add 10 and 12 dollars to get 22 dollars then subtract the 14 dollars of the pizza to get 7 dollars left. Then add the other 18 given to them and your final answer adds up to 25 dollars in all. :)
6 0
2 years ago
Mary bought 4 gallons of milk for $10.00. Jill bought 2.5 gallons for $6.00.
RoseWind [281]

Step-by-step explanation:  

In order to find the better buy, we must find the cheaper unit price or price per gallon.  To find the price per gallon, divide the cost by the number of gallons.

Mary

Mary bought 4 gallons for $11.

The price is $11 and the gallons are 4.

Jill

Jill bought 2.5 gallons for $7.25

The price is $7.25 and the gallons are 2.5

Better buy

Mary paid $2.75 per gallon and Jill paid $2.90 per gallon. 2.75 is less than 2.90, so Mary had the better buy.

3 0
2 years ago
Please help me with this​
Tatiana [17]
<h2><u>Given</u> :</h2>

The given equations are :

\longrightarrow15b + 10g = 8640 \:  \:  \:  \:  \:   - (1)

\longrightarrow b + g = 708 \:  \:  \:  \:  \:  \:  - (2)

Let's solve for g in equation (2) :

\longrightarrow b + g = 708

\longrightarrow g = 708 - b \:  \:  \:  \:  \:  - (3)

now, let's plug value of g from equation (3) into equation (1) :

\longrightarrow15b + 10g = 8640

\longrightarrow15b + 10(708 - b) = 8640

\longrightarrow15b - 10b + 7080 = 8640

\longrightarrow5b = 1560

\longrightarrow b = 312

plugging value of b in equation (3) :

\longrightarrow g = 708 - b

\longrightarrow g = 708 - 312

\longrightarrow g =39 6

since " g " represents ground seats, number of ground seats :

=》396

And " b " represents balcony seat, therefore it is equal to :

=》312

\mathrm{ ☠ \: TeeNForeveR \:☠ }

4 0
3 years ago
Sophia wants to take out a loan of $6,000 with interest that compounds monthly. Use the formula A = P(1 + rn)n∗t to find which o
Naddika [18.5K]

Answer:

d

Step-by-step explanation:

FV = P (1 + r/m)^mn

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

m = number of compounding

a. 6000x (1 + 0.04/12)^24 = 6498.86

b. . 6000x (1 + 0.03/12)^36 =6564.31

c. . 6000x (1 + 0.01/12)^48 = 6244.76

d. . 6000x (1 + 0.05/12)^60 =6630.47

4 0
2 years ago
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