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
Choose the equation below that represents the line passing through the point (2, - 5) with a slope of −3.
ad-work [718]

Answer:

the equation of the line is y=-3x+1

have a great day! hope this helped :D

8 0
3 years ago
According to Boyle’s law, PV= K, what was the volume at the time of the first measurement given the following information? Round
Temka [501]
<h2>Hello!</h2>

The answer is:

The first measurement of volume is equal to 835.23 mL.

<h2>Why?</h2>

Boyle's Law equation can be used when the temperature is kept constant, and it establishes a relation between the pressure and volume, showing that when an ideal gas is kept constant, the pressure and volume are inversely proportional.

So, we Boyle's Law equation states that:

P_{1}V_{1}=P_{2}V_{2}

Where,

P_1=FirstPressure\\V_1=FirstVolume\\P_2=NewPressure\\V_2=NewVolume

Now, if we are looking for the first volume measurement, we need to rewrite the equation as follow:

P_{1}V_{1}=P_{2}V_{2}\\\\V_{1}=\frac{P_{2}V_{2}}{P_{1}}

So, substituting the given information and calculating, we have:

V_{1}=\frac{8.59atm*527mL}{5.42atm}

V_{1}=\frac{4526.93atm.mL}{5.42atm}=835.23mL

Hence, the first measurement of volume is equal 835.23 mL.

Have a nice day!

8 0
3 years ago
I am half way between two consecutive numbers. The product of the two numbers is 650. what number am I ?
elena-14-01-66 [18.8K]

Answer: 325

650/2=325

6 0
3 years ago
If 12 and 20 each divide K without a remainder, what is the value of K?
Juli2301 [7.4K]

Factors of 12 : 1, 2, 3, 4, 6, 12

Factors of 20: 1, 2, 4, 5, 10, 20

In both lists of factors, 4 is in common. Therefore, the value of K is 4 because it can divide into both 12 and 20 without a remainder. 2 is also another possible value of K.

4 0
3 years ago
Read 2 more answers
What's 532 over 315 simplified
jok3333 [9.3K]
Your answer should be 76/45
8 0
3 years ago
Read 2 more answers
Other questions:
  • Need help with number 26, multi-step!!
    11·1 answer
  • What the second step in sketching the graph of a rational fintion
    15·1 answer
  • Is 0.085 greater or lesser than 85 thousandths
    14·2 answers
  • A box has a square base of side 9cm. calculate the volume of the box if it is 10cm high​
    14·2 answers
  • Kate can run 5 blocks per minute she wants to run 80 blocks how long will it take her to finish if she has already run 20 blocks
    14·2 answers
  • Find the area of 3/4 of the circle (radius = 6)<br> i need the awncer please
    10·2 answers
  • Hannah has been loving making fruit smoothies for her and her friends she workouts with. She gets 5 pounds of strawberries at a
    8·2 answers
  • What is corresponding angle? give a definition of it​
    7·2 answers
  • Large eggs weigh 1/1/2 pounds per dozen. Dawn bought eight large eggs. How much did the eggs weigh
    14·1 answer
  • (Please answer! :) )
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!