1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Archy [21]
3 years ago
8

Jose asks his friends to guess the higher of two grades he received on his math tests. He gives them two hints. The difference o

f the two grades is 16. The sum of one-eighth of the higher grade and one-half of the lower grade is 52. The system that represents his scores is below. x – y = 16 StartFraction 1 over 8 EndFraction x plus StartFraction one-half EndFraction y equals 52.x + StartFraction one-half EndFraction x plus StartFraction one-half EndFraction y equals 18.y = 52 What is the higher grade of Jose’s two tests?
Mathematics
1 answer:
tatyana61 [14]3 years ago
8 0

Answer : 96

x – y = 16 --------> equation 1

1/8 x + 1/2 y = 52

x is the higher grade and y is the lower grade

We solve the first equation for y

x - y = 16

-y = 16 -x ( divide each term by -1)

y = -16 + x

Now substitute y in second equation

1/8 x + 1/2 ( -16 + x ) = 52

1/8x - 8 + 1/2 x = 52

1/8x + 1/2x - 8 = 52

Take common denominator to combine fractions

1/8x + 4/8x -8 = 52

5/8x - 8 = 52

Add 8 on both sides

5/8x = 60

Multiply both sides by 8/5

x = 96

We know x is the higher grade

96 is the higher grade of Jose’s two tests.

You might be interested in
The cost is $2.66 and the percent of the markup is 50%. What is the selling price?
Alexandra [31]
I googled how to do markup 50%... and it took me awhile but I think I got the answer, $2.66 + $1.33 (into $1.33 from 2.66 x0.5) and u get $3.99 Sorry If I'm wrong but I hoped I helped!
4 0
3 years ago
Each Saturday, a store reduces the price of any unsold item by
Maksim231197 [3]

Answer:

8 dollars

Step-by-step explanation:

5 0
3 years ago
The triangle below , what is the length of the side opposite the 60 degree angle
salantis [7]
120 IS THE CORRECT ANSWER. BUT THIS IS NOT FOR SURE!
4 0
3 years ago
Read 2 more answers
Mavis drives 634 miles to visit her grandmother in philadelphia. How many miles does mavis drive if she visits her grandmother 4
Dmitriy789 [7]

Mavis drives = 634 miles.

Mavis visits her grandmother 4 times.

That means, she drives 634 miles each time when she visits her mother.

One time round trip Mavis's house to her gramdmother in philadelphia = 634 miles.

If she visited 4 times, we can multiply one round trip distance by 4 or we can just add that distance four times.

Let us try it by multiplying 4 by 634 .

If we multiply 4 by 634, we get 2536.

Therefore, 2536 miles Mavis drives if she visits her grandmother 4 times.

8 0
2 years ago
To get from the post office to the library, Sindy walked due north and then due east. The distance Sindy walked east is 20 meter
Sidana [21]
Technically, none of the equations.

The equation you're looking for would be:

x²+(x+20)²=150²


7 0
3 years ago
Read 2 more answers
Other questions:
  • lori is running in a marathon which is 26.2 miles long. so far, she has run one-tenth of the marathon. how far has lori ran
    12·1 answer
  • Which set shows some of the solutions to 4y>12?
    6·1 answer
  • 1) What are the real zeroes of x3 + 6 x2 – 9x – 54?
    7·2 answers
  • Slope intercept from 2y=-1x-8 step by step please
    10·1 answer
  • A line passes through the points (4, -1) and (2,3). What is the slope of the line?​
    7·2 answers
  • HURRY PLEASE_in the first quadrant, you start on (1,2) and move three units right what point do you end up on?
    12·1 answer
  • Y = (x)(x) is a parent function that makes a graph of a(n)
    15·2 answers
  • I am doing home<br> work and need help due day
    10·1 answer
  • Suppose that a department contains 7 men and 15 women. How many ways are there to form a committee with six members if it must h
    11·1 answer
  • I cannot do this question and i am stuck
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!