A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.

x + y = 24

3x + 5y = 100

What does the solution of this system indicate about the questions on the test?

The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.

Answers

Answer 1

To solve this, we have to subtract these two equation to make Xs or Ys of two equations same. So if we multiply the first equation and 3 to make the same with other equation,

3x+3y=72

3x+5y=100

If we subtract two equations,

3x+3y=72

- 3x+5y=100

-2y=-28

y=14

So if we put this on the fir equation,

x+14=24

x=10

So the answer is the second one

Related Questions

Please help will give brainliest!!

Answers

Since the two triangles have the same interior angles just different sizes F = 71

Answer:

F=71

Step-by-step explanation:

F/X=71

E/Z=49

G/Y=60

the triangle is equal to 180

solve for x
-1 - 3x = -7

Answers

Answer:

the answer-is 2

Step-by-step explanation:

-1-3x=-7

+1. +1

-3x/-3=-6/-3

x=2

Select the correct answer.
What is the value of the expression given below?
(8 - 3i) - (8 - 3i) (8 + 8i)

A. -80 - 43i
B. -96 - 37i
C. -96 + 37i
D. -80 + 43i

Answers

Answer is

A. -80 - 43i

Answer:

A | -80 - 43i

During the worst periods of hyperinflation in a certain country. The price of food increased at a rate of 15% per month. State wether this is Linear or exponential

Answers

Answer:

exponential

Step-by-step explanation:

Since it is increasing per month at a percentage rate then this is an exponential increase. That is because each time the increase occurs it is adding the percentage on top of the previous month's increase which becomes compounded as the months go on. For example, the price of bread is $10, at the end of the first month the price increases by 15% (1.15 in decimal form since it is increasing)

10 * 1.15 = $11.5

Now it costs $11.50. This is a change of $1.50. The next month it increases by another 15%

11.50 * 1.15 = $13.22

Now it costs $13.22 which is an increase of $1.72. The increase in dollar amount will keep rising every time which makes it an exponential rise.

what is the answer to 3/7 x 9 =

Answers

Answer:

3.85714285714

Step-by-step explanation:

3/5+(−1/4) DIVIDED BY 7/10

Answers

Answer:

0.5

Step-by-step explanation:

Well, first of all, I dislike dividing by fractions, so let's turn these fractions into decimals.

[tex]\frac{3}{5} + \frac{-1}{4} / \frac{7}{10}[/tex]

0.6 + -0.25 ÷ 0.7

Now we an solve.

0.60 - 0.25 = 0.35

0.35 ÷ 0.7 = 0.5

Mike wants to save $1,750 in the next 12 months. He plans to save $150 each month for the first 11 months. Part A What is the total amount of money Mike will save during the first 11 months if he saves $150 each month? Enter your answer in the box. $ Part B Mike plans to save the same amount in the 12th month as in each of the other months. Will Mike be able to save $1,750 in the 12 months? Enter numbers in the boxes to solve the problem. Since $1,750 – $ = , Mike will need to save $ in the 12th month. Since $ is less than $150, he will be able to reach his goal.

Answers

Answer:

A. $1,650

Mike will reach his goal if he saved $100 in the 12th month if he has been saving $150 for the first 11 months

Step-by-step explanation:

Mike wants to save $1,750 in the next 12 months.

He plans to save $150 each month for the first 11 months.

A. Total amount of money Mike will save during the first 11 months if he saves $150 each month is

$150 × 11 months

= $1,650

B. If Mike plans to save the same amount in the 12th month ($150) as in each of the other month

= $150 × 12 months

= $1,800

He will be able to save $1,750 if Mike saved the same amount in the 12th month

In the 12th month, Mike only needs to save $100 if he has saved $150 in the first 11 months in order to reach his goal

Last year, Erin earned $1,497.75. This year, she earned 2.9 times as much as
last year. Which of the following answer choices is the most reasonable
estimate for the amount of money Erin earned this year?*

Answers

Answer:

4,343.475

Step-by-step explanation:

I just multiplied what she earned and how much she is going to make

A number minus 12 is 20. *

Answers

Answer:

uh 32

Step-by-step explanation:

Answer:

Step-by-step explanation:

when jamal rides around the circle path 2 times, he travels a distance of 8 pi km. true or false

Answers

false. hope this helps

(4 - 5y) - 2(3.5 - 8)

Answers

Answer:

5y+13

Step-by-step explanation:

4-5y-2x-4.5= 4-5y-(-9)= 4-5y+9=-5y+(1+9)=5y+13

Answer is 5y +13
Your welcome

Find the slope of the line that contains the coordinate
points (-4, 1) and (1, 4).

Answers

vdhdyeisuagbdxj don't mind this

Select the correct answer.
The Franzes are purchasing a home for $195,000, and they are using a conventional loan. What is the best estimate for what their down
payment will be?
O A.
$5,850
OB.
$19,500
C.
$39,000
D.
$48,750

Answers

Answer:

39,000

plato

iycrthagdadstmly

You track inventory at a furniture store. On Monday, the delivery truck delivers 15 new mattresses. Your team sells seven mattresses on Monday, two mattresses on Tuesday, zero on Wednesday, and five on Thursday. You receive a new order Friday morning of 15 mattresses. How many mattresses do you now have available?

Answers

Answer:

Step-by-step explanation:

Naomi rented a car during her vacation in Miami. The cost to rent the car is $45 and an additional ten
cents for each mile driven. Complete the function that represents the total cost of Naomi's car rental, in
dollars, where the total cost is c and the number of miles is m.

Answers

Answer:

C = .10m+45

Step-by-step explanation:

hope this helps <3

Pat bought several pens and notebooks at Walgreens. Pens cost 60 cents each and
notebooks cost $2 each. Write an expression for the total amount of money Pat spent
purchasing p pens and n notebooks.

Answers

Answer:

n(2) + p(60) = x

Step-by-step explanation:

Answer:

It would be 0.60p + 2n.

Help fast I dont understand

Answers

Part A - he descends for 4 feet per minute

Part B - After 6 minutes he will be 24 feet

Select the words that match the equation.
27 = 3x9*

Answers

Answer:

Step-by-step explanation:

what are the words?

which step is wrong pls help 20 points

Answers

Answer:

I believe its A) They should have added 6 to both sides

Step-by-step explanation:

Francis Watson's gross pay is $61,100. He takes a married exemption of $3,000. His state income tax rate is 3.5 percent. How much will be deducted from his weekly paycheck for state taxes?

Answers

Answer:

$39.10

Step-by-step explanation:

in this problem we are expect to solve for the taxable income and return the tax deductible

given data

gross pay is $61,100

married exemption of $3,000.

the taxable gross pay is

$61,100- $3,000.

=$58100

the tax deductible is 3.5% of pay

=3.5/100*58100

=0.035*58100

=2033.5

since the $2033.5 is the annual tax, in a year we have 52 weeks

therefore

=2033.5/52

= $39.10

How does the graph of g(x) = −(x − 2)4 compare to the parent function of f(x) = x4?

g(x) is shifted 2 units to the right and reflected over the x-axis.
g(x) is shifted 2 units to the left and reflected over the x-axis.
g(x) is shifted 2 units to the right and 1 unit up.
g(x) is shifted 2 units to the right and 1 unit down.

Answers

Given:

[tex]g(x)=-(x-2)^4[/tex]

[tex]f(x)=x^4[/tex]

To find:

How does the graph of g(x) compare to the parent function of f(x)?

Solution:

The translation is defined as

[tex]g(x)=kf(x+a)+b[/tex] .... (1)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.

If k<0, then graph of f(x) reflected over x-axis.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

We have,

[tex]f(x)=x^4[/tex]

[tex]g(x)=-(x-2)^4[/tex]

So,

[tex]g(x)=-f(x-2)[/tex] ...(2)

From (i) and (ii), we get

[tex]k=-1<0[/tex], it means g(x) reflected over the x-axis.

[tex]a=-2<0[/tex], it means g(x) shifted 2 units to the right .

Therefore, the correct option is A.

Answer:

A. g(x) is shifted 2 units to the right and reflected over the x-axis.

Step-by-step explanation:

Is this correct if not explain

Answers

Yes that is correct

A triangular window has area
24 square feet and height six feet.
What is its base? Show work.

Answers

Answer:

The base is 8 square feet

Step-by-step explanation:

Answer:

8 square feet

Step-by-step explanation:

Area of Triangle= 1/2bh

24 = 1/2 x b x 6

24= 3 x b

(divide 3 on both sides)

b= 8

A rectangle has side lengths of 2 5/8 feet and 3 1/5 feet. Find the perimeter of the rectangle. Write your answer as a mixed number in simplest form.

I really need help this is due in 10 minutes PLEASEEE HELPP

Answers

Answer:

11 13/20

Step-by-step explanation:

105/40 + 105/40 + 128/40 + 128/40 = 466/40

the simplest for is 11 13/20

Which of the following is not a layer of the Earth?

Answers

Answer:

Nickel is not a layer of earth. It is a white metal that belongs to the group of transition metals and is said to be present in the core of the Earth. Sial- refers to the upper layer of the Earth's crust. This layer has an abundance of minerals having aluminum and silicates.

Answer:

I dont see the following but these are the layers of the Earth

Step-by-step explanation:

Use function notation to write G in terms of the parent function F.? F(x)=x^3 and g(x)=-(x+1)^3

Answers

Answer:hey

Step-by-step explanation:

G in terms of the parent function F is given as F(x) = -g(x-1).

What is a parent function?

A parent function is the simplest function of the family of functions that preserves the definition of entire family.

Now the given functions are,

F(x) = x^3

g(x) = -(x+1)^3

We can see that g(x) is just an opposite of translation of 1 units to the right of F(x), to write g(x) in terms of F(x)

Then we can write,

g(x-1) = -(x-1+1)^3

or, g(x-1) = -x^3

or, g(x-1) = -F(x)

or, F(x) = -g(x-1)

Hence,G in terms of the parent function F is given as F(x) = -g(x-1).

To learn more about translations:

brainly.com/question/24850937

#SPJ2

Question 11 of 30
The sides of a square all have a side length of y. Write a simplified area function in terms of y for a rectangle whose length is 4 times the
side length of the square and whose width is 8 units longer than the side length of the square.

Answers

Answer:

16:5

Step-by-step explanation:

Who here is from London???

Answers

uh this is not tinder

I need help in this????

Answers

Answer:

A integers

Step-by-step explanation:

hope this helps

Brainliest please

Hi! I believe your answer is the last choice: whole numbers. Whole numbers don't include negative numbers, fractions, or decimals, but everything else listed does indeed include negative numbers. I hope this helps you! Good luck and have a great day. ❤️ (By the way, I love your profile picture! :))

help my brother with this question if you want brainliest
2 - (⅞ - ¾

Answers

Answer:

Here's how to subtract 3/4 from 7/8:

−

So we multiply 7 by 4, and get 28.

Then we multiply 3 by 8, and get 24.

Next we give both terms new denominators -- 8 × 4 = 32.

So now our fractions look like this:

−

Since our denominators match, we can subtract the numerators.

28 − 24 = 4

So the answer is:

0.284, is it right

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