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
sp2606 [1]
3 years ago
11

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 1/8 x+ 1/2 y = 52 What is the higher grade of Jose’s two tests?
A. 48 B. 52 C. 80 D. 96
Mathematics
1 answer:
denis23 [38]3 years ago
8 0

Option D. 96 is the correct answer.

Explanation:

Let the higher grade be = x

Let the lower grade be = y

As given, The difference of the two grades is 16

x-y=16 or x=16+y   .... (1)

The sum of one-eighth of the higher grade and one-half of the lower grade is 52.

\frac{1x}{8}+\frac{1y}{2}=52   ... (2)

Putting the value of x=16+y in equation (2)

\frac{16+y}{8}+\frac{y}{2}=52

\frac{16+y+4y}{8}=52

\frac{16+5y}{8}=52

16+5y=416

5y=400

y=80

As x=16+y

x=16+80 = 96

Hence, higher grade is 96.


You might be interested in
F(1) = 4, f(n) = f(n<br> − 1) + 11
zvonat [6]

Answer:

Step-by-step explanation:

You don't specify what you're supposed to do, so I'll make an educated guess.  

Given the sequence f(1) = 4, f(n) = f(n  − 1) + 11, find the first 5 terms:

f(1) = 4

f(2) = f(2 - 1) + 11 = f(1) + 11 = 4 + 11 = 15

f(3) = f(2) + 11 = 15 + 11 = 26

f(4) = f(3) + 11 = 26 + 11 = 37

f(5) = 37 + 11 = 48

4 0
3 years ago
If f(x) = 3x – 2 and g(x) = 2x + 1, find (f + g)(x). please help :C
Luba_88 [7]
(f+g)(x) = f(x) + g(x)

(f+g)(x) = 3x-2 + 2x+1

(f+g)(x) = (3x+2x) + (-2+1)

(f+g)(x) = 5x - 1
3 0
3 years ago
Read 2 more answers
The Ford family decides they want to go see a movie at the local movie theater. The family consists of two adults, and five chil
Brrunno [24]

Ford Family consists of:

a) 2 adults

The price of ticket for each adult is $18.55. This can be approximated to $19 if we round it to nearest dollar. So the price of ticket for 2 adults will be 2 x 19 = $38

b) 3 children between ages 2 and 10.

Ticket for each child between ages 2 - 10 is $12.59 which can be approximated to $13. So ticket price for 3 children will be 3 x 13 = $39

c) 2 children below the age of 2.

Ticket price for each child is $6.54 which can approximated as $7. So ticket price for 2 children will be 2 x 7 = $14

The estimated total amount due on the family equals = 38 + 39 + 14 = $91

In each of the 3 cases we rounded up the values. So this means the actual amount must be slightly lesser than $91. The actual bill was $87.95 which is close to $91 and lesser than it. Hence we can conclude that $87.95 is the correct amount due for Ford Family.

3 0
3 years ago
Compare the strengths and weaknesses of the horizontal and vertical methods for adding and subtracting polynomials. Include comm
mariarad [96]
Each method works diffrently the angles inside them is what matters.
6 0
3 years ago
Read 2 more answers
What is the value of this expression? 4/15+3/5−2/3 Quick
VMariaS [17]

Answer:

I  think that would be 1/5

Explanation:

Hope this helps!

3 0
2 years ago
Other questions:
  • What is the minimum number of degrees that an equilateral triangle can be rotated before it carries onto itself?
    9·2 answers
  • At the snack bar, 12 hot dogs are sold for every 10 hamburgers sold. At this rate, how many hamburgers will be sold if 66 hot do
    14·2 answers
  • Sorry hard to see but can you help me im stuck❤
    14·1 answer
  • Graph the function g(x) = -3 / (x²- 4) . What is the domain of g(x)? Explain your reasoning. Do not completely trust calculator
    13·1 answer
  • 30 -60 -90 <br> Please help.
    14·2 answers
  • Which graph represents the solution to the given system? –4x + 2y = –11 and –2x + 2y = –15
    13·1 answer
  • Determine the intercepts of the line.<br> x-intercept(_,_)<br> y-intercept(_,_)
    11·1 answer
  • Can u pls help me with this question asap ​
    13·1 answer
  • What is 2/3(1+n)=-1/2n
    9·1 answer
  • The Pythagorean Theorem can be used to find the missing side length of a triangle when two other side lengths are known.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!