Diego’s history teacher writes a test for the class with 26 questions. The test is worth 123 points and has two types of questions: multiple choice worth 3 points each, and essays worth 8 points each.

How many essay questions are on the test? Explain your reasoning.

Answers

Answer 1

Answer: 9 essay questions

Step-by-step explanation:

The test has 26 questions

The test is worth 123 points

The test has two types of questions:

Multiple choice worth 3 points each

Essays worth 8 points each

Let the number of multiple choice questions be, m, and the number of essay questions be , e.

This forms a simultaneous equation below:

m + e = 26 ... (i)

3m + 8e = 123 ... (ii)

Multiplying (i) by 3 and (ii) by 1 we get:

3m + 3e = 78 ... (i)

3m + 8e = 123 ... (ii)

Subtracting (ii) - (i) we get;

0m + 5e = 45

5e = 45

e = 45 ÷ 5 = 9

So there are 9 essay questions.

and;

m + 9 = 26

m = 26 - 9 = 17

There are also 17 multiple choice questions.

Answer 2
So if there are 26 questions on the test and each test is worth 123 points and only two types of questions on the test multiple choice worth three points and essays worth eight points so if you wanna do it the easy way just get the essay points 8 and divid it by the amount of points on the test which is 123 And you want to divide that and you will have your answer if you do the math correctly you will have 15 remainder three so there will be only 15 essay questions and one multiple-choice so yeah that is my answer well we can agree and disagree depends on you

Related Questions

solve the inequality m/-4 < 1

Answers

Answer:

m<-4

Step-by-step explanation:

7th Grade Students in 7th grade took a standardized math test that they also had taken in 5th grade. The results are shown on the dot plot, with the most recent data shown first. Find and compare the means to the nearest tenth. 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Test Score 7th-grade mean: 5th Grade 5th-grade mean: What is the relationship between the means? 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Test Score​

Answers

Answer:

Students in 7th grade took a standardized math test that they also had taken in 5th grade. The results are shown on the dot plot, with the most recent data shown first.

Find and compare the means to the nearest tenth.

7th-grade mean:

✔ 16

5th-grade mean:

✔ 13.4

What is the relationship between the means?

✔ The 7th-grade mean is about 2.5  points higher.

Step-by-step explanation:

Mean for 7th Grade Students is: 16

Mean for 5th Grade Students is: 13.4

Comparing the means, the mean for 7th grade students is 2.6 higher than 5th grade students.

What is the Mean of a Data Distribution?

The mean is the average of the data set, that is the sum of each data value divided by the number of data points.

Given that, 7th Grade Students in 7th grade took a standardized math test that they also had taken in 5th grade.

Mean for 7th Grade Students:

Mean = [10 + 11 + (2 × 12) + 13 + 14 + (2 × 15) + (3 × 16) + (3 × 17) + (2 × 18) + (2 × 19) + (3 × 20)]/21

Mean = 335/21

Mean = 15.95 = 16

Mean for 5th Grade Students:

Mean = [8 + (2 × 9) + (2 × 10) + (2 × 11) + (2 × 12) + (2 × 13) + 14 + (3 × 15) + (2 × 16) + 17 (2 × 18) + 19

Mean = 281/21

Mean = 13.38 = 13.4

The difference between their means = 16 - 13.4 = 2.6.

Hence, Mean for 7th Grade Students is: 16

Mean for 5th Grade Students is: 13.4

Comparing the means, the mean for 7th grade students is 2.6 higher than 5th grade students.

Learn more about the mean of data on:

brainly.com/question/11015069

#SPJ5

The scatterplot below shows the relationship between the number of gallons of gasoline in the tanks of 14 cars, and the maximum number of miles the cars can be driven on the given amount of gasoline.

Gasoline
A graph has gallons in gas tank on the x-axis and maximum miles on the y-axis. A line goes through points (9, 280) and (12, 360).

Based on the data collected, which combination of gallons in the gas tank and maximum number of miles seems most likely to be possible?


I DONT KNOW HOW TO INSERT A PICTURE BUT PLZ HELP will MARK AS BRAINLIST!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

How u insert a image=When u ask a question there should be a paperclip looking thing click that and you can insert a image

B.9 gallons in the gas tank and 280 miles.

From the given figure we see that the line of best fit passes through the point (13,400) and (17,520)

We know that the equation of a line passing through two point (a,b) and (c,d) is calculated by using the formula

y - b = d-b/c-a x (x-a)

Here we have:

(a,b)=(13,400) and (c,d)=(17,520)

Hence, the equation of line of best fit is: y - 400 = 520 - 400/17-3 x (x - 13)

y-400=120/4 x (x-13)

y=400=30x(x-13)

y-400=30x-390

y=30x-390+400

If u want to check your answers

0 gallons in the gas tank and 20 miles

when x=0 we have:

y=10≠20

Hence, option: A is incorrect.

B)

9 gallons in the gas tank and 280 miles .

when x=9 we have:

y=30×9+10

y=280

Hence, option: B is correct.

C)

11 gallons in the gas tank and 360 miles

when x=11; we have:

y=30×11+10

y=340≠360

Hence, option: C is incorrect.

D)

19 gallons in the gas tank and 520 miles

when x=19; we have:

y=30×19+10

y=580≠520

Hence, option: D is incorrect.

plz help me out a bit :(
which one do you think it is?

Answers

C. 9^4
when dividing with exponents, i usually just look at the exponents and subract them so i did 12-8 for this problem

NEED HEELLLPPPP PLEEASSSEEEE!!!!!!!

Answers

Answer:

Step-by-step explanation:

im not positive but wouldnt that be (2.5.,5.5) because its in beteween the numbers?

I will award brainliest also!!!!!

Answers

Answer:

a=7

Step-by-step explanation:

Answer: a = 7

Step-by-step explanation:

2a - 6(a - 4) = -4

2a - 6a + 24 = -4

-4a + 24 = -4

-4a = -28

a = 7

Which is a true statement about the data shown in the tables?

Answers

Answer:

D

Step-by-step explanation:

Neither table os a linear relation

The answer would be D

Help Me Pleaseee ASAP
What is the Meaning of V?
v - 15 = -27

Answers

It is -12 V= -12
-27+15= -12
V=-12

Simplify: y^8 (y^4) please help!

Answers

Answer:

[tex]y^1^2[/tex]

Step-by-step explanation:

apply the rule (a) = a [tex](y^4)=y^4[/tex]

[tex]y^8y^4[/tex]

apply the exponent rule

[tex]y^8y^4 = y^8^+^4[/tex]

[tex]=y^8^+^4[/tex]

add the numbers

[tex]8+4=12[/tex]

which would make the answer

[tex]y^1^2[/tex]

Help me solve this And I will mark brainliest!

Answers

Answer:

0

Step-by-step explanation:

0 = 0 anything with a zero is zero.

3
Tyler places 3 red marbles, 2 white
marbles, 4 green marbles, and 1 blue
marble in a box. 2 marbles are drawn at
random without replacement. What is the
probability of drawing a white marble first
and a red marble second?

Answers

U need to simplify, so it makes better abec

This morning, Austin's car had 25.12 gallons of fuel. Now, 3.4 gallons are left. How much fuel did Austin use?

Answers

Answer:

7.38?

Step-by-step explanation:

25.12/3.4=7.38

Oliver is starting a running plan to train for a race. In the first week of his running
plan, Oliver will run 14 miles. The plan calls for Oliver to increase his weekly milage
by 3.5 miles every week. If Oliver sticks to the plan, how many miles would he be
expected to run during his oth week of the training plan?

Answers

Answer:

49 miles

Step-by-step explanation:

10 times 3.5= 35

35+14= 49

420 miles hdbchdbdjcbdjxh

Plz help quickly i need this by today at 9 or I'm grounded. if the doc doesn't work, use the picture i put with it. Or just use the picture at first. 16 points. 24 if brainliest and i will give it to the first person with correct answers. I NEED ALL ANSWERS AND PLZ DONT ANSWER FOR THE POINTS I WILL REPORT YOU.

Answers

Answer:

Part a: 123

Part b: C

1. F(x)=4(2)1

2. F(x)= -4(2)1

3. F(x)=21

4. F(x)=-21

Last is B

Step-by-step explanation: hope this help

Help, im timed :(((
will mark branliest

Answers

Answer: it is D)

Step-by-step explanation:

this is math answer only if you know

Answers

Answer:

Its the second one

it is the second option

Which statements are true about points A, B, and C? Check all that apply.

The coordinates of point A are (3, –3).
The coordinates of point B are (1, –3).
The coordinates of point C are (–2, 2).
Point C is the closest to the y-axis.
Points A and B are the same distance from the x-axis.

Answers

Answer:

A is 3 -3 and c is true

Step-by-step explanation:

The answer is:
The coordinates of point B are (1, –3).

Points A and B are the same distance from the x-axis.

Devon scored 18 points in the first basketball game but 22 in the second game. What’s the percent of change?

Answers

Answer:

4%?

Step-by-step explanation:

I honestly really don't know just don't even think about my answer

Relate these 2 equations together: 5*5, 5+5+5+5+5 *
Your answer

Answers

Answer:

5x5 is 25 and 5+5+5+5+5 is also 25 please give brainliest

Step-by-step explanation:

Answer:

5*5=5+5+5+5+5

Step-by-step explanation:

Both are equivalent because both include adding 5 fives together, if you were to space out the 5*5 it would be equivalent. Also, if you add 5+5+5+5+5 it would equal 25 and 5*5=25. That is why they are equivalent. Hope this helps, let me know if correct, and have a great day!!

HELP! WILL MARK BRAINLIEST IF CORRECT!

Answers

Answer:

72%

Step-by-step explanation:

18/25 = 0.72

0.72 x 100 = 72

Answer:

72%

Step-by-step explanation:

Step 1 we make the assumption that 25 is 100% since it is our output value

Step 2 we next represent the value we seek with x

Step 3 from step 1, follows that 100%=25

Step 4 in the same vein, x%=18

Step 5 this gives us a pair of simple equations: 100% = 25(1)

X%= 18(2)

Step 7: taking inverse of both sides yields

X%\100% = 18/25

—> = 72%

Therefore, 18 is 72% of 25

hope you don't mind to answer but uhh lol
The net below shows the dimensions of Michelle’s living room. She is going to put wallpaper on the living room walls.
What is the difference, in square yards, between the total and lateral surface areas of the room?

Answers

The answer to this question is 42yd^2. This is the difference between the total surface area and the lateral surface area of the net you have shown.

Total surface area: 121.8
Lateral surface area: 79.8

121.8 - 79.8 = 42

Use substitution to find the ordered pair of the following system of equations:
y=-8xy

y=6x-14
(_,_)

Answers

helppp on same prob pleasee

the most simplified form is 3+4y/4x , you can't get further than that

solve for h
5 - 8h = 21
h=what

Answers

H is equal to -2

I need 20 characters so I’m just writing something random
5 - 8h =21
-8h + 5=21
−8ℎ+5−5=21−5
-8h = 16
h=-2

Please help me with this

Answers

Answer

(3,8) because both of the trapezoid equals 3,8.

(3,8) because both trapezoid equals 3,8

A fishbowl shaped like a sphere is filled with water. The fishbowl has a diameter of 14 inches. Which measurement is closest to the volume of water in the fishbowl in cubic inches?

2,144.66 in.3

17,157.28 in.3

1436.02 in.3

6,433.98 in.3

Answers

Answer:

2,144.66 in³

Step-by-step explanation:

Thus, the volume of the water in the fishbowl = volume of a sphere having diameter of 16 inches

=  2,144.66 in³

Please help. Will give brainliest

Answers

I believe C. I’m not completely sure tho...

what is the nearest whole percent of 45

Answers

Answer:

Step-by-step explanation: 45% based on the way you state the question. 45% is a whole percent.

45 percent is the nearest whole percent

what is the circumference of this circle? (Use C = [tex]\pi[/tex]d; [tex]\pi[/tex] = 3.14.)

giving 20 points to the person who answers! no need to show your work, thank you.

Answers

The answer is B, 31.4m
The correct answer is B

Please help I need text evidence so please include that in your response I will give you brainlest if you have. Good detailed answer I’m sorry if this is a lot to ask for the story is freak the mighty btw

Answers

Answer:

cite,evidence,cite,evidence, summary it basically means answer the question give evidence from the story explain do it again and then sum up your writing, i hope this is right.

Step-by-step explanation:

can someone help me with this

Answers

Answer:

on mathaway you can ask it to solve using a table of values.

Or if you have a graphing calculator you can hit the 2nd, and then the graph buttons to get a table of values

Step-by-step explanation:

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