MATHEMATICS HIGH SCHOOL

Jerome takes a math course and a science course for summer school. For every 5 hours Jerome spends studying math, he studies science for 4 hours. If Jerome spent a total of 54 hours studying last week, then how long did he study math?

Answers

Answer 1
Answer:

Answer:

Jerome spent 30 hours studying mathematics

Step-by-step explanation:

We were given that every 5 hours Jerome spends studying math. he studies science for 4 hours.

The ratio of Mathematics to Science is

5:4 respectively.

The total ratio is 5+4=9.


If Jerome spent a total of 54 hours studying last week, then the number of hours he spent studying mathematics is

=(5)/(9)* 54.


=(5)/(1)* 6.


=30 hours.
Answer 2
Answer:

Answer:

y= (54*4)/(9)=24

And then we can solve for x like this:

x = (5*24)/(4)=30

And the final solution would be 30 hours for math and 24 for the science course.

Step-by-step explanation:

We need to define some notation first. Let

x= number of hours that he spent for the math course

y = number of hours that he spent for th science course

We have that the total of hours is 54, and we can write that like this:

x+ y = 54   (1)

And the other conditions is: " For every 5 hours Jerome spends studying math, he studies science for 4 hours" And we can write this like that:

(x)/(y)=(5)/(4)

And we can solve for x like this:

x = (5y)/(4)

And we can replace this into equation (1) and we got:

(5y)/(4) + y = 54

And if we do the algebra we got:

(9y)/(4) =54

y= (54*4)/(9)=24

And then we can solve for x like this:

x = (5*24)/(4)=30

And the final solution would be 30 hours for math and 24 for the science course.

Related Questions

A factory produces 90 packages of mixed nuts in 1 min. A quality control manager selected 8 of these 90 packages at random and then counted the number of nuts in each package. The manager recorded the results.31, 31, 32, 33, 35, 35, 35, 36 What is the estimated median number of nuts in all 90 packages?
The two cylinders are similar. If the ratio of their surface areas is 9/1.44, find the volume of each cylinder. Round your answer to the nearest hundredth. A.small cylinder: 152.00 m3 large cylinder: 950.02 m3 B. small cylinder: 972.14 m3 large cylinder: 12,924.24 m3 C. small cylinder: 851.22 m3 large cylinder: 13,300.25 m3 D. small cylinder: 682.95 m3 large cylinder: 13,539.68 m3
What are some real world examples of how you can use the skills of proof writing?will give brainlyst have to be right
Which of the following best defines density?A. A measure of the volume of a given substance B. A number between 0 and 1 that defines how thick a substance is C. A measure of how much mass a given volume of a substance will have D. A measure of the mass of a given substance
How many pairs of intersecting line segment does a square have

Give the final factored form of the expression. Provide an explanation AND identify the type of factoring used.x2 – 9y2
You don't have to identify the type of factoring used, but I need help with the rest, please and thank you.

Answers

(x^2-9y^2)=\n(x^2-(3y)^2)=\n(x-3y)(x+3y)\n\n(a^2-b^2)=(a-b)(a+b)\n

A train leaves the station at 9:00 pm traveling east at 36 miles per hour a second train leaves the station at 10:00 pm traveling west at 42 miles per hour at what time will both trains have traveled the same distance

Answers

Add the time they arrive at the common to individual starting points.
9.00 +(x)/(36) =10.00 + (x)/(42)
put the like terms together;
10.00 - 9.00=(x)/(36) - (x)/(42)
1=(42x-36x)/(36*42)
1=(6x)/(36*42)
6x=36*42
x=(36*42)/(6)
x=252 miles

Willa bought 1 yard of yarn to knit a scarf. She wants to cut the yarn into for equal parts. Draw and label a number line from 0 to 1 to show where Willa would cut her yard of yarn. Label all the fractions.

Answers

Answer:

Step-by-step explanation:

If i created 6 inch by 6 inch square what would the area be

Answers

Answer:

36 in.

Step-by-step explanation:

Step 1:

Area = Length × Width   Equation

Step 2:

6 × 6  Multiply

Answer:

36 inches

Hope This Helps :)

Solve : cos X + sin X = 0
Pls all answers in radians
thanks

Answers

cos (X) + sin (X) = 0

Subtract cos(x) from each side:

sin(x) = -cos(x)

Divide each side by cos(x) :

sin(x) / cos(x) = -1

But sin/cos = tangent

tan(x) = -1

x = 135° and 315°

x = 3/4 pi radians  and  7/4 pi radians

Compare new france and the 13 colonies in the terms of population, government and economy ​

Answers

Answer:

5 or

Step-by-step explanation:
Other Questions
Please help... I HAVE to pass this. I'll mark as brainliest. I have an idea of how to solve it... but I wanna make sure.
An item is purchased for a wholesale price of $48 and will be sold at a 55 percent markup. Which expression should be used to find the amount of the markup?
Given: Circle O and Circle Q intersect at R and S;mRVS=60; mRUS=120 Prove: OR is tangent to circle Q QR is tangent to circle O
5218 2/3*2137 3/8*145678 7/8