4.
Your math test has 38 questions and is worth 200 points. The test consists
of multiple-choice questions worth 4 points each and open-ended questions
worth 20 points each. How many of each type of question are there?

... please solve this using if systems of equations

Answers

Answer 1

Answer:

Number of multiple-choice questions = x = 35 questions

Number of open-ended questions = y = 3 questions

Step-by-step explanation:

Let

Number of multiple-choice questions = x

Number of open-ended questions = y

x + y = 38 (1)

4x + 20y = 200 (2)

From (1)

x = 38 - y

Substitute x = 38 - y into (2)

4x + 20y = 200

4(38 - y) + 20y = 200

152 - 4y + 20y = 200

- 4y + 20y = 200 - 152

16y = 48

y = 48/16

y = 3

Substitute y = 3 into (1)

x + y = 38

x + 3 = 38

x = 38 - 3

x = 35

Number of multiple-choice questions = x = 35 questions

Number of open-ended questions = y = 3 questions


Related Questions

what is 2g-3+11-8g simplified please help me

Answers

Answer:

Step-by-step explanation:

2g-3+11-8g= -6g+8= 2(-3g+4)

solve pls |2c+7|-3>4
:(

Answers

Answer:

E

Step-by-step explanation:

2c + 7 > 0

2c > -7

c > -7/2

If c < -7/2

-2c -7 -3 > 4

-2c > 14

c < -7

if c > -7/2

2c + 7 -3 >4

2c >0

c >0

Find the volume of the Cone. Use 3.14 for . Round your answer to the nearest hundredth ( 2 decimals). Show your work in this question, and record your answer in the next question.

Answers

Answer:

2,616.67cm³

Step-by-step explanation:

Find the diagram attached

volume of the cone = πr²h/3

r is the radius = 10cm

h is the height = 25cm

Substitute

V = 3.14(10)²*25/3

V = 314*25/3

V = 7850/3

V = 2,616.67cm³

Hence the volume of the cone to the nearest hundredth is 2,616.67cm³

What is 3 (2x + 4) = 12?

Answers

2x+4=4
2x=0
The answer is
X=0

Answer:

Hi!!

The answer is = 0

Step-by-step explanation:

1. Distribute

3(2+4)=12

6+12=12

2. Subtract 12 from both sides of the equation

6 + 12= 12

6 + 12 − 12 = 12 − 12

3.Simplify

part A. 6 + 12 − 12 = 12 − 12

6x = 12 - 12

part B. 6x = 12 - 12

6x = 0

Hope this helps!! =)

Resolva:
12,548:9
62,547÷7
5,127÷25

Answers

12,548:9( you can’t simplify this ratio)
62,547 divided by 7 = 8,935.28571
5127 divided by 25 = 205.08

A circle has a diameter of 16 cm. Find its circumference. (Use the calculator's value
of 1. Round your answer to the nearest tenth.).

Answers

Answer:

the answer rounded to the nearest tenth is 37.7 cm.

Step-by-step explanation:

Find the solutions to x2 = 8.
A. X = +2.2
B. x= 12,4
C. X = +4-2
D. = +4.6

Answers

Answer:

x = ± 2√2

Step-by-step explanation:

Assuming "x2" is x^2 or "x squared", the answer can be derived from "square-rooting" both sides.

√ x^2 = √ 8

Then we simplify.

x = ± 2√2

Hope this helps!

Answer:

the answer is A.

Step-by-step explanation:

Don't have time to write the steps now because i am in class but i might later.

$22.00+$14.00=
answer this

Answers

Answer:

$36

Step-by-step explanation:

22+14=36

Jake wants to find out what his customers think of his new recipe. which is the best group survey to find this information?

Answers

what are the answer choices?
Where’s the information?

Select all the equations that are true:

Answers

Answer:

TrueFalse, correct one -58False, correct one 58TrueTrueFalse, correct one 42TrueFalse, correct one -42

Mr. Carlevato and Mr. Burrows get into a debate about two different expressions. · Mr. Carlevato says "2(2x + 3) is equal to 4x + 6". · Mr. Burrows says "Nope, wrong, those are clearly different expressions" Try substituting x=5 into both expressions. Do you get the same answer for both expressions? Show your work!

Answers

Answer:

Yes, the same answer is obtained.

Step-by-step explanation:

According to Mr. Carlevato, [tex]2(2x+3)[/tex] is equal to [tex]4x+6[/tex]. However, [tex]2(2x+3)[/tex] is not equal to [tex]4x+6[/tex] according to Mr. Burrows.

Put [tex]x=5[/tex] in [tex]2(2x+3)[/tex]

[tex]2[2(5)+3]=2(10+3)=2(13)=26[/tex]

Put [tex]x=5[/tex] in [tex]4x+6[/tex]

[tex]4x+6=4(5)+6=20+6=26[/tex]

Therefore,

[tex]2(2x+3)=4x+6[/tex]

Yes, the same answer is obtained.

PLEASE HELP> I NEED ANSWER ASAP. GEOMETRY

Answers

Answer:

Angle 4=82 degrees, then i think angle 1 and 3= 98 degrees

Step-by-step explanation:

Angle 2=Angle 4 and 180-82=98

Honestly I'm stressed doing schoolwork. Girl bestie to play iMessage games??

Answers

Answer:

wut-

Step-by-step explanation:

PLEASE HELP ASAP PLEASE!! WILL GIVE BRAINLEST PLEASE​

Answers

Answer:

what is 5x5x8

Step-by-step explanation:

5x5=25

25x8=200

so your awnser is 200

Answer:

105

Step-by-step explanation:

To find the surface area, we need to find the area of all the sides. There are five sides, but four of them are exactly the same.

To find the area of a triangle, you need to do width x height / 2. The width is five and the height is eight. 5 x 8 / 2 = 20. There are three more sides that have the exact same area as this. Since there are four sides that have a surface area of twenty, we do 20 x 4 = 80. Then, we find the area of the bottom piece. To find the area of a square, you need to do length x width. 5 x 5 = 25. Then, we add our two areas to get the final result. 80 + 25 = 105. Therefore, 105 is the surface area of the pyramid.

Hope this helps! Thanks for brainliest! :D

The student council sent its members on four field trips during the school year. The number of
buses needed to transport the members on each field trip is a function of the number of members
who went on each trip. This function consists only of the ordered pairs (52,3), (72, 4), (86,5),
and (105, 6). What is the DOMAIN for this function?

Answers

Answer:

{52,72,86,105}

Step-by-step explanation:

hope this helps   :)

Find the value of c

-x^2 -22x + c

Answers

Answer:

−(x+11−  square root of 121+c )(x+11+ square root of 121+c)

Step-by-step explanation: hoped I helped

117
X
x + 3
Find the value of x.
A. 4
В. 5
C. 6
D. 9

Answers

Answers:

1. D po

Step-by-step explanation:

i hope its hepl

Can a triangle have side lengths 10, 12, 15?
1.not enough information
2.no
3.yes

Answers

Answer:

The answer is 3. yes

I agree with the other person the answer is 3

Please help ASAP! Will mark brainliest if correct :)

Answers

Answer:

x is equal to 12 mm

The figure below shows a right pyramid with a square base.
Imagine a cross-section of the pyramid formed by a plane cutting through it that meets these conditions.
• The plane passes through the top vertex of the pyramid.
The plane is perpendicular to the base of the pyramid.
What must be true about the cross section?
o It is a right triangle.
O It is an isosceles triangle.
0 It is an obtuse triangle.
It is an equilateral triangle.

Answers

Answer:

Step-by-step explanation:

Solve.


x + 7 = –2


A. 9

B. 5

C. –5

D. –9

Answers

Answer:

X = 9, in other words it's A

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

x+7=-2

 -7   -7

-7 plus -2 equal 9

:) hope that helped

-18 < 9x

Solve for x ...

Answers

Answer:

x= -2

............................

13 POINTS FOR THIS PLEASE

Answers

Answer: Independnt Variable: direct light

Dependnt variable: the plant growth

Step-by-step explanation:

The plant growth depends on the light

A puppy weighs 4 pounds. Six months later, the puppy weighs 22 pounds. What is the average weight per month?

Answers

Answer:

3 pounds per month

Step-by-step explanation:

22-4 = 18

18/6=3

120% of what number is 3.6?

Answers

y = 3.6/120 x 100/100 = 3/100 = y = 3
I’m not sure hopefully you find the answer I’m sorry for the inconvenience

Is -1-126
(-12b - 6 + 9b - 18) equivalent to 2(b + 8)? Show your work.(please help)

Answers

Answer:

Well, -1-126 (-12b - 6 + 9b - 18) equals 378b + 2023.

Step-by-step explanation:

Subtract numbers:

−1−126 (−12−6+9−18)

−1−126 (−12−24+9)

Combine like terms:

−1−126 (−12−24+9)

−1−126 (−3−24)

Then you'll have to distribute:

−1−126 (−3−24)

−1+378 + 3024

Hope this helps        :)

PLZ HELP I WILL GIVE BRAINLIEST

Answers

Answer:

a. the sign is interchange

it should be = x^2 - 3x + 4 - x^3 - 7x + 2

Answer:

see explanation

Step-by-step explanation:

(a)

The student has distributed the second parenthesis by 1 instead of - 1

(b)

Given

(x² - 3x + 4) - (x³ + 7x - 2)

distribute the first parenthesis by 1 and the second by - 1, that is

= x² - 3x + 4 - x³ - 7x + 2 ← collect like terms

= - x³ + x² - 10x + 6

What is the Area of this figure?​

Answers

Answer:

560 Square centimetres

Step-by-step explanation:

I'm not sure but I hope it is helpful and have a good luck

Answer:

416 sqr centimeters

Step-by-step explanation:

Area of Trapezoid

A = ([tex]\frac{a+b}{2}[/tex])h

a = 14cm

b = 38cm

h = 16cm

A = ([tex]\frac{14+38}{2}[/tex])(16)

A = 416 sqr centimeters

How can translations help you
sketch the graph of f(x) = x2 + 8x + 16?

Answers

Answer:

THE REAL ANSWER IS IN THE SCREEN SHOT HIS IS NO VIRUS LINK

Step-by-step explanation:

pls mark me brainliest

Hal's business made 50,0000 last year. This year, his business made 650,000. What is the percentage difference?

Answers

The percentage difference in the amounts made is 30%.

What is the percentage difference?

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred.

Percentage difference= [ (amount made this year / amount made last year) - 1 ] x 100

'(650,000 / 500,000) - 1] x 100 = 30%

To learn more about percentages, please check: https://brainly.com/question/25764815

#SPJ1

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