Your next Pre-Algebra test is worth 93 points and contains 38 multiple choice and short answer problems. Each
multiple choice problem is worth two points and each short answer is worth three points. How many of each type of
problem is on the test?

Answers

Answer 1

Answer:

There are 21 multiple-choice problems and 17 short answers.

Step-by-step explanation:

Let there are x multiple-choice problems and y short answers.

ATQ,

x+y = 38 ....(1)

Each  a multiple-choice problem is worth two points and each short answer is worth three points.

2x+3y = 93 ....(2)

Multiply equation (1) by 2.

2x+2y = 76 ....(3)

Subtract equation (2) and (3) we get :

2x+3y-(2x+2y) = 93-76

2x+3y-2x-2y = 17

y=17

Put the value of y in equation (1).

x+17 = 38

x=21

Hence, there are 21 multiple-choice problems and 17 short answers


Related Questions

I NEED HELP ASAP!!!!!!! I WILL GIVE BRAINLIEST!!!!!!!!!
Chris had 30 minutes to do a three-problem quiz. He spent 11 3/4 minutes on question A and 4 1/2 minutes on question B. How much time did he have left for question C?

Answers

Answer:Chris spent 13 3/4 minutes on question C

Step-by-step explanation:

First let's write an equation:

We know 30 is the total and we are trying to find a part, and 11 3/4 is a part and 4 and 1/2 is a part

So:

30=11 3/4 + 4 1/2 + x

30=16 1/4 + x

- 16 on both sides(to find what x equals to)

13 2/4=x

X=13 3/4

Louis wants to carpet the rectangular floor of his basement. The basement has an area of 2,000 square feet. The width of the basement is 4/5 its length. What is the length of Louis's basement?

Answers

Answer: 50 feet

Step-by-step explanation:

Let the length be represented by x

The width of the basement is 4/5 its length. Therefore, the width is 4/5x = 0.8x

Area = Length × Breadth

2000 = x × 0.8x

0.8x² = 2000

x² = 2000/0.8

x = ✓2500

x = 50

Therefore, the length is 50feet

a
\large 140\frac{1}{2}

b
\large 140\frac{1}{3}

c
\large 141

d
\large 140\frac{3}{4}

Answers

i think the correct answer is b

jan takes her dog for a walk.
she leaves her house at 11:40am and returns at 12:17pm.
how long did the walk take?

Answers

Answer:

37 minutes. :))

Step-by-step explanation:

Steve’s IQ increases by 0.25% each
day that he attends his algebra class.
After the first day of class, he has
an IQ of 90. What will it be after
attending all 180 classes this year?

Answers

Answer:

141

Step-by-step explanation:

because i have the answer key

I need to know the answer step by step.

Answers

Answer:

108

Step-by-step explanation:

Since B=3, you need to do 4(3)^2*3

Do 3^2, which is 9,

4*9=36,

36*3=108

Hannah takes a sheet of paper and cuts from one corner to the opposite corner, making two triangles. If the length of the cut is 12inches and the paper is 8 inches long, what is the width of the sheet of paper (nearest tenth)?

Answers

The answer would be 10 inch

state if polygons are similar

Answers

Answer:

yea its is

Step-by-step explanation:

https://files-cdn.schoology.com/eff1043385e13ac014eaf6e69f84525b?content-type=app

Answers

Answer:

srry i need points

Step-by-step explanation:

Answer:k

Step-by-step explanation:

k

I just need help solving for A​

Answers

Answer:

115

Step-by-step explanation:

The answer will be ( 115 )

5/5 x 2/34 will be less than greater than or equal to

Answers

Answer:

It would be less than becuase 5/5=1 an 2/34= 17

Step-by-step explanation:

it would be less than

Sample Response: To find the image after a reflection over the x-axis, I would negate the y-coordinate. To find the image after a reflection over the y-axis, I would negate the x-coordinate. So, reflecting the point (5, 2) over the x- and y-axis, I would get (–5, –2).

Which did you include in your response? Check all that apply.
Negate the y-coordinate.
Negate the x-coordinate.
Get the point (–5, –2).

Answers

Answer:

egg

Step-by-step explanation:

eggs are BlUe

Answer:

select all of them bc there all correct

Step-by-step explanation:

14.4 A Book and a Cake A book costs $45. Sales tax on the book is 7%. Write two different expressions that represent the final cost of the book in dollars. Pne of the expressions should use only a single multiplication and no other operations.
A cake that costs $32 is on sale for 15% off and there are no taxes. Explain why the expression (0.85).32 represents the final price of the cake in dollars
(0.85). 32 represents the final price of the cake in dollars because...​

Answers

Answer: 1. $45*1.07 | $45(1.07) 2. (0.85)*32 represent the final price of the cake in dollars because (0.85) is the 15% off in decimals.

Step-by-step explanation:

1 if you multiply 45 by 1.07 it will be 48.15 and that's the final cost of the book, same with $45(1.07) is just another way to represent the multiplication.

2 As I said the 0.85 represent the 15% off, and when you multiply it will be less.

Using the graph above identify the constant of proportionality between the number of shirts and how much they cost? Hint: simplify your answer
A. K=80
B. K=20
C. K=10
D. k=8

Answers

Answer:

We conclude that the constant of proportionality between the number of shirts and how much they cost is:

k = 8

Hence, option 'D' is correct.

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get

y ∝ x

y = kx

k = y/x

where k is called the constant of proportionality

Given the points

(10, 80)(20, 160)(50, 400)

For (10, 80)

substituting y = 80 and x = 10 in the equation

k = y/x

k = 80/10 = 8

For (20, 160)

k = y/x

k = 160/20 = 8

For (50, 400)

k = y/x

k = 400/50 = 8

It is clear that the value of k is the same for all the points.

Thus, the value of k = 8

Therefore, we conclude that the constant of proportionality between the number of shirts and how much they cost is:

k = 8

Hence, option 'D' is correct.


Simplify the expression:
-3(3 – 06y)

Answers

Answer:

18y−9

Step-by-step explanation:

Answer:

-9 - (-18y)

simplified more answer : -9 + 18y

if the 06 is a decimal then: answer: -9 - (-1.8y)

more simplfied answer: -9 + 1.8y

Step-by-step explanation: -3 x 3 = -9

-3 x 6y = -18 y

(if 06 a decimal: -3 x 0.6y = -1.8y)

variable answers (answers with a letter ) cannot be added together with a non variable answer

Expression 10 x (250 + 45) years

Answers

Answer:

2950

Step-by-step explanation:

the answer is 2950 the reason why is if u solve the given problem this is what you get

Answer:

250+45=325 x 10=3250

Step-by-step explanation:

Can u help fast plz i’m gonna cry lol

Answers

Answer:

28.27

I searched it up

so the formula to find the area of a circle is A = pie x r or (radius)^2 so the radius is just squared.
so the radius of the circle is 3 so you would square that.
pie is 3.14(rounded)
A = 3.14(pie) x 3^2
A = 3.14 x 9
A = 28.26
my calculator got that which is different from the other person's answer but i hope this will help you!

2. Which one of the following could be the cruising speed of a jetliner?
A. 90 km/h
B. 900 km/h
O C. 9.000 km/h
D. 90.000 km/h

Answers

Answer:

900 km/h

Step-by-step explanation:

Please help
In CDE, the measure of ZE=90°, DC = 37, ED = 35, and CE = 12. What is the value
of the sine of D to the nearest hundredth?

Answers

Answer:

Step-by-step explanation:

Answer:

0.3243

Step-by-step explanation:

The cost of 3 boxes of envelopes and 4 boxes of notebook paper is $13.25. Two boxes of envelopes and 6 boxes
of notebook paper cost $17. Find the cost of each. 8.
(Need step by step please!)

Answers

Answer:

Step-by-step explanation:

E for Envelopes

N for Notebook Paper

3E + 4N = $13.25

2E + 6N = $17

N = $2.45

E = $1.15

The dimensions of a rectangle are given in terms of S as shown below or above.

Q. Which expression represents the perimeter of the rectangle? Mark all that apply.

Answers

Answer:

A and D

Step-by-step explanation:

It should be Sx2 + 2(S+ 1/2)

Which is equal to 4s+1

and 2(2s + 1/2) is equal to 4s+1 as well

help it due by tonight and I have no clue how to do it

Answers

Answer:

Step-by-step explanation:

Bro, for the $500 after the rate add 12 and 12 and do that for all the rate's like when you get to the fraction rate add the fraction rate with the fraction rate

please help thank you so much

Answers

Answer:

Q=63 degrees

Step-by-step explanation:

R=60 degrees

since T=123 degrees, S=180-123=57 degrees

There is 180 degrees in a triangle

Q=180-60-57

Q=63 degrees

Bill baked 16 cookies with 2 scoops of flour. With 4 scoops of flour, how many cookies can Bill bake? Assume the relationship is directly proportional.

Answers

Answer:

Let c = the number of cookies

cookies/scoops of flour: 12/2 = c/3

Cross multiply.

2c = 36

c = 18 cookies

Step-by-step explanation:

Answer:

32 cookies.

Step-by-step explanation:

Find how much cookies Bill can bake with just 1 scoop of flour:

2 scoops of flour = 16 cookies

1 scoop of flour = 16 ÷ 2 = 8 cookies

Now, find 4 scoops of flour.

4 scoops of flour = 8 x 4 = 32 cookies

Ariel bought 8 balloons for $3.20. Mrs.Torres spent $38.40 on balloons at the same store. How many balloons did Mrs.Torres buy?
A.15
B.96
C.40
D.64

Answers

Answer:

96 because 3.20 divided by 8 is 0.4 and 0.4 times 96 is 38.4

At a Chinese buffet, there are five
entree selections. If two entrees may be
selected, how many ways may the
plates be filled?

Answers

10 different ways.....

Answer:

I know I'm a little late, but there are 10 different ways the plate can be filled.

Step-by-step explanation:

Formula:

21 of an ice cream company's flavors contain nuts.
How many total flavors does the company make if
30% of them contain nuts?

PLEASE HELP ME! :(

Answers

Answer:

The company has 70 falvors

Write an equation in slope-intercept form for the line with slope and -intercept .

Answers

Answer:

y = [tex]\frac{2}{5}[/tex] x - 9

Step-by-step explanation:

amy has 24 dolls, 18 of her dolls have blond hair and the rest have black what is the ratio of the number of dolls that have black hair to the number of dolls that have blond haie

Answers

Answer: 6 : 24 is for black haired and 18 : 24 is for blond

Step-by-step explanation:

18 : 24

24 - 18 = # of black haired dolls

6 = # of black haired dolls

Ratio

6 : 24

Point 7,2 is translated vertically 2 units and horizontally -5 units. Where is the new point located?

Answers

Answer:

Step-by-step explanation:

(2,4)

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