All categories

3 years ago

Rob peeled 125 oranges in 5 hours. At that rate, how many oranges would he peel in 12 minutes?

Mathematics

2 answers:

marin [14]3 years ago

6 0

Answer:

$\boxed {\tt 5 \ oranges}$

Step-by-step explanation:

Let's set up a proportion.

$\frac{oranges}{minutes} =\frac{oranges}{minutes}$

He can peel 125 oranges in 5 hours. First, let's find the minutes in 5 hours.

There are 60 minutes in 1 hour, so multiply 60 and 5 (60*5=300). There are 300 minutes in 5 hours.

$\frac{125 \ oranges}{300 \ minutes}=\frac{oranges}{minutes}$

We don't know how many oranges he can peel in 12 minutes. So we say he can peel x oranges in 12 minutes.

$\frac{125 \ oranges}{300 \ minutes}=\frac{x \ oranges}{12 \ minutes}$

$\frac{125 \ }{300 \ }=\frac{x \ }{12 }$

Solve for x by isolating it. x is being divided by 12. The inverse of division is multiplication. Multiply both sides of the proportion by 12.

$12*\frac{125 \ }{300 \ }=\frac{x \ }{12 \ }*12$

$12*\frac{125 \ }{300 \ }=x$

$12*0.416666667=x$

$5=x$

Rob can peel 5 oranges in 12 minutes.

vlabodo [156]3 years ago

6 0

Answer:

5 oranges in 12 minutes

Step-by-step explanation:

$125 \div 5 = 25$

$25 \div 60 = 0.41$

$0.41 \times 12 = 5$

what i did here was I took the original amount (125), divided it by 5 which is 25 oranges per hour

1 hr = 60 mins

then I divided 25 oranges by 60 mins, then times it by 12 to get 5 around 5 oranges in 12 minutes.

You might be interested in

What is the missing value in the equation shown □ x1/10=0.034

grin007 [14]

Answer:

0.34

Step-by-step explanation:

Do the inverse operation so;

0.034 / 1/10 = 0.34

Now go back and subsitute,

0.34 * 1/10 = 0.034

4 0

3 years ago

Rosa works due north of home. Her husband Juan works due east. They leave for work at the same time. By the time Rosa is 7 miles

polet [3.4K]

This is a right triangle problem. c^2 = a^2 + b^2
Let b = 7 mi (Rosa's distance from home)
Let a = the east leg (Juan's distance from home
(a+1) = c (hypotenuse, distance between them)

(a+1)^2 = a^2 + 7^2

FOIL (a+1)(a+1)
a^2 + 2a + 1 = a^2 + 49

Combine like terms
a^2 - a^2 + 2a = 49 - 1
2a = 48
a =

a = 24 mi, Juan's distance from home

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

8 0

2 years ago

The sum of the measures of the two angles of a linear pair must be

Pie

Answer: 180

Angles in a linear pair are always supplementary. This means they form a straight angle or a straight line.

6 0

2 years ago

the half-life of strontium-90 is approximately 29 years. how much of a 500 g sample of strontium-90 will remain after 58 years

Yuliya22 [10]

Answer: 125 g

Step-by-step explanation:

$A = P_o\cdot e^{kt}\\\\\text{First, use the given information to find k:}\\\\\bullet A=\dfrac{1}{2}P_o\\\\\bullet k = unknown\\\\\bullet t=29\text{ years}\\\\\dfrac{1}{2}P_o=P_o\cdot e^{k(29)}\\\\\\\dfrac{1}{2}=e^{k(29)}\qquad divided\ both\ sides\ by\ P_o\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=ln\bigg(e^{k(29)}\bigg)\qquad applied\ ln\ to\ both\ sides\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=29k\qquad simplified-ln\ and\ e\ cancel\ out\\\\\\\dfrac{ln\bigg(\dfrac{1}{2}\bigg)}{29}=k\qquad divided\ 29\ from\ both\ sides\\\\\\-0.0239=k$

$\text{Now, use the following in the equation to solve for A:}\\\\\bullet A=unknown\\\bullet P_o=500\\\bullet k=-0.0239\\\bullet t=58\text{ years}\\\\A=500\cdot e^{(-0.0239)(58)}\\\\.\quad=500\cdot e^{-1.386}\\\\.\quad=125$

8 0

3 years ago

The point (0,9) is rotated 90 degrees clockwise about the point (0,0). What are the coordinates of the transformed point?

natka813 [3]

Answer:

(-9,0) is the answer of the new coordinates

Step-by-step explanation:

4 0

2 years ago