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

1. Solve the simultaneous equations 3x - 2y = 4and 2x + 3y = -6 using elimination method.​

Answers

Answer:

Multiply the first equation by 2

2(2x+y=5) to get 4x + 2y = 10

add the second equation 3x-2y=4

4x + 3x + 2y + -2y = 10 + 4

7x = 14

x = 2

...

Multiply the first equation by 3 and the second equation by -2 then add

3(2x+y=5) to get 6x + 3y = 15

-2(3x-2y=4) to get -6x + 4y = -8

add them

6x + -6x + 3y + 4y = 15 + -8

7y = 7

y = 1

...

x = 2 , y = 1

(2, 1) is the solution

...

check

2(2) + 1 = 5

4 + 1 = 5

5 = 5

Correct

Hope it helps

Please mark me as the brainliest

Thank you

HELP ASAP PLEASEEEEE​

Answers

Answer:

can't

can

can't

can

Step-by-step explanation:

sum of all angles should equal 180

Answer:

I certainly can't help you

In ΔHIJ, the measure of ∠J=90°, the measure of ∠H=8°, and HI = 30 feet. Find the length of IJ to the nearest tenth of a foot.

Answers

Answer: 4.2

Step-by-step explanation:

Sin(H)=x/30 then cross multiply

30sin(8)=x

X=4.1752... but rounded it’s 4.2

Answer:

It's 4.2

Step-by-step explanation:

What is the volume of Alina’s model in cubic centimeters

Answers

There’s no picture so I can’t help you sorry :(

A florist uses 5 red roses for every 2 white roses in her bouquets write the ratio of white roses to red roses in 3 different ways

Answers

Answer:

5/2

5 : 2

5 to 2

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

3(4x+6)=x-4

Solve the question and what property did you use?

Answers

Answer:

x = -2

Step-by-step explanation:

answer algebra 1 problem below

Answers

Answer:

Step 1: multiply

10*10=100*10=1000*10=10000

Step 2: write 1st one out.

(8*10000)

Step 3: multiply

8*10000=80000

________________-

Step 1: multiply

10*10=100*10=1000*10=10000*10=100000*10=1000000*10=10000000*10=100000000*10=1000000000*10=10000000000*10=100000000000*10=1000000000000

step2: multiply

2*100000000000=200000000000

step 3: write it out

80000*200000000000

step 4: solve

80000*200000000000=1.6 to the power of 17

Step-by-step explanation:

so your answer is

1.6 to the power of 17

that was a lot yw

PLS HELP!!! 7TH GRADE MATH

Answers

Answer:

The first picture is 72 ft²

Step-by-step explanation:

Answer for 1:

242

Answer for 2:

214.57

Answer for 3:

88.79

Explanation:

I used Goggle

All corners shown are right angles. 2 in. 3 in. 3 in. 2 in. 4 in. 4 in. 2 in. 10 in What is the perimeter of the shape? O A. 28 in. B. 30 in. OC C. 38 in. O D. 42 in.​

Answers

Answer: 30

Step-by-step explanation:

Can someone help me with these 2 problems please

Answers

Don’t go to that link it’s bad they trying to scam you

finf the total surface area of a cylinder with a base radius of 5 inches and a height of 5 inches​

Answers

Answer:

314.16

Step-by-step explanation:

The formula is A=2πrh+2πr2, you just plug in the numbers

I hope this helps :)

An art supply store typically sells 7 bottles of green paint for every 6 bottles of blue paint. How many bottles of blue paint does it sell when it sells 35 bottles of ​green paint?

Answers

30 bottles of blue paint?

Can someone plz help me!!!

Answers

Answer:

The answer is no because 5 is greater than 3

Which of the following functions has a graph with a vertex that is a translation 5 units horizontally to the right of the vertex of the graph of g(x) = (x + 2)2 + 2?

Answers

Answer:

g(x) = (x -3 )^2 + 2

Step-by-step explanation:

f(x) = (x + 2)^2 + 2

We want to shift this 5 units to the right

The parabola is written in the form

y = a(x-h) ^2 +k  where (h,k) is the vertex

The vertex is at ( -2, 2)

We want to shift it 5 units to the right

-2+5 = 3

g(x) = (x -3 )^2 + 2

Answer:

g'(x) = (x-3)² + 2

Step-by-step explanation:

g'(x) = (x+2 - 5)² + 2

can someone please help me with these!! ill make you a brainily

Answers

Answer:

11. None of the above

12. 7

Step-by-step explanation:

11. Through exhaustion (Just trying them all) none of them worked and therefore can be ruled out.

12. 12 / 2 = 6 (6 granola bars per box)

42 / 6 = 7 (7 boxes needed to make up 42)

$1210 is invested in an account earning 11.5% interest compounded monthly. What is the balance at the end of 13 years? Group of answer choices

Answers

Answer:

Final amount = $5357.52

Step-by-step explanation:

Formula to be used,

Final amount = [tex]\text{Initial amount}\times (1+\frac{r}{n})^{nt}[/tex]

Here, n = number of compounding in a year

t = Duration of investment

Now we substitute the given values in the question.

Final amount = [tex]1210(1+\frac{0.115}{12})^{12\times 13}[/tex]

                      = [tex]1210(1.009583)^{156}[/tex]

                      = 1210(4.4277)

                      = $5357.52

a part of a line with endpoints on both ends a(n):

Answers

The answer is line segment

Answer:A part of a line with endpoints on both ends is a(n):

A line with 2 endpoints is called a line segment. We know that it is a segment because the endpoints make the line finite

Step-by-step explanation:

Find the volume of the
cake if the radius is 8
inches and the height is 5
inches.

Answers

Answer:

251.327412 cubic inches is the answer

2/5 divided by 3/4
9/4 divided by 3/4
-5/7 divided by 1/3
-5/3 divided by 1/6

Answers

2/5 ÷ 3/4 = 8/15

9/4 ÷ 3/4 = 3

-5/7 ÷ 1/3 = -15/7

-5/3 ÷ 1/6 = -10

Please hurry! I really need this

Answers

Answer: x - 2.60(2) + x + x - 2.60

Step-by-step explanation:

Aleekah’s amount is x, as identified by the problem. If Barika earn less than 2.60 than Aleekah, then you would take away 2.60 from x, thus x - 2.60. If (x - 2.60) is how much Barika earned and James earn twice that amount, then he would have ((x - 2.60)*2)

Tell whether the angles are adjacent or vertical. Then find the value of x.

Answers

Answer:

They are vertical

x=32.5

Step-by-step explanation:

75 + 4x-25 = 180

4x = 180+25-75

4x=130

x=32.5

What is the solution to this system of equations?
6.2
-
3y = 12
y = 2x
- 4

Answers

Answer:

sorry

Step-by-step explanation:

i don't understand your question

M,p, and z represent the lengths of the three sides of this right triangle. Select all the equations that represent the relationship between m,p, and z .

Answers

Answer:

The equations are:

[tex]m^2 = p^2 + z^2[/tex]     [tex]m^2 = z^2 + p^2[/tex]

[tex]z^2 + p^2 = m^2[/tex]     [tex]p^2 + z^2 = m^2[/tex]

Step-by-step explanation:

Given

See attachment for triangle

Required

Select all true equations

From the attachment:

[tex]m = hypotenuse[/tex]

[tex]p\ and\ z = other\ legs[/tex]

Using Pythagoras theorem:

[tex]m^2 = p^2 + z^2[/tex]

This can be rewritten as:

[tex]m^2 = z^2 + p^2[/tex]

or

[tex]z^2 + p^2 = m^2[/tex]

or

[tex]p^2 + z^2 = m^2[/tex]

What is one individual member of the sample called?

Answers

Answer:

there is no sample

Step-by-step explanation:

if you put a picture then someone can help you

2. Consider the following system of equations.
y = 2x - 4
y = -x + 5
{
a. Identify the slope and y-intercept of the graph of each equation.
b. Based on your answer for part (a), are the graphs of the two lines intersecting lines, the
same line, or parallel lines? Explain your reasoning.

Answers

Answer:

see below

Step-by-step explanation:

a.

first equation: slope = 2, y intercept = (0,4)

second equation: slope = -1, y intercept = (0,5)

b.

They are intersecting lines. They don't have the same slope so they aren't parallel and they obviously aren't the same equation so they aren't the same line.

2 · y - 8 ÷ 4 when y = 7

Answers

Answer:

12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Plugin y = 7 in the expression

y - 8 ÷ 4 = 7 - 8÷ 4      { here division has to be done first as per PEDMAS}

              = 7 - 2

              = 5

Solve for X. Please!!

Answers

Answer:

x = 37.5

Step-by-step explanation:

By Basic Proportionality Theorem:

[tex] \frac{x}{20} = \frac{46 - 16}{16} \\ \\ \frac{x}{20} = \frac{30}{16} \\ \\ x = \frac{20 \times 30}{16} \\ \\ x = \frac{600}{16} \\ \\ x = 37.5[/tex]

find the area of the figure below

Answers

Answer:

36 inches²

Step-by-step explanation:

[tex]A=bh[/tex] where b is the base length and h is the height

The base length of the parallelogram is 12 inches and its height is 3 inches. Plug these values into the equation.

[tex]A=(12)(3)\\A=36[/tex]

Therefore, the area of the figure is 36 inches².

I hope this helps!

Answer:

yes the answer is 36in. Which mean the person is right too

9 + 7 + z + z + 5 + 7

Answers

Answer:

2(14+z)

Step-by-step explanation:

9+7+5+7

16+5+7

21+7

28

28+z+z

28+2z

2(14+z)

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