On a standardized multiple choice test, 3 points were awarded for a correct answer, while a wrong answer caused a deduction of 1 point, and no points were awarded or deducted for omitted questions If Marjorie received a score of 84 when she omitted 4 of the 40 questions on the test, how many did she get right? How many did she get wrong?

Answers

Answer 1

Answer: She got 30 questions right and 6 questions wrong.

Step-by-step explanation:

Let x = Number of correct questions, y = Number of wrong questions

As Award for each correct answer = +3 points and Award for each wrong answer = -1 point.

Total score = 3x-1y

If Marjorie omitted 4 of the 40 questions, then she did 40-4=36 questions.

Now, x+y = 36 (1)

and 3x-y =84   (2)  (as she scored 84)

Adding (1) and (2), we get

4x = 120

Divide both sides by 4, we get

x= 30

y = 36-30=6

hence, she got 30 questions right and 6 questions wrong.


Related Questions

A scale factor of 3/4 applied to an object describes

1. an enlargement
2. a reduction
3. no change
4. a rotation

Answers

Answer:

a rotation

Step-by-step explanation:

2x + y = 1
what are the x and y intercepts if this was plotted on a line graph

Answers

x=1/2 or 0.5 & y=1

x intercept (value of x when y is 0)
So plug in 0 for y
2x+0=1
2x=1
Divide both sides by 2
x=1/2

Y intercept (value of y, when x is 0)
2(0)+y=1
y=1

x/-8 = -3

help!!! needed urgently

Answers

If x/ -8 = -3,

Just multiply by -8 on both sides.

x = 24

Hope this helps!

If x/ -8 = -3,

Just multiply by -8 on both sides.

x = 24

Hope this helps!

(-1, 2) and (0,4)
Find the slope of the line passing through the given points

Answers

Slope is 2. 2 is your answer

What is the midpoint between (2,4) and (10,16)?

Answers

Answer:

the midpoint would be (5,9)

Answer:

(6, 10 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1+y_{2} } }{2}[/tex] )

Here (x₁, y₁ ) = (2, 4) and (x₂, y₂ ) = (10, 16) , thus

midpoint = [tex]\frac{2+10}{2}[/tex], [tex]\frac{4+16}{2}[/tex] ) = ( [tex]\frac{12}{2}[/tex], [tex]\frac{20}{2}[/tex] ) = (6, 10 )

HELP this is on my quartly check!!! If ∠A is supplementary to ∠B, ∠A and ∠C are vertical angles, and m∠C = 45, what is m∠B?

Answers

Answer:

135

Step-by-step explanation:

As, Angle A and angle B are supplementry,

So, A+B=180

Angle A and Angle C are vertically opposite angles then, Angle A= Angle C

So angle C = 45°

So angle A = 45

Now, A + B = 180

45 + B = 180

B= 180 - 45

B= 135°

Hope this helps!

7x-3 = 5x+ 15
I have to write an explanation for this problem using the words variable term and constant term... can someone help me?

Answers

Answer:

7x-3 = 5x+ 15

2x-3 = 15            (you will need to subtract the variables to get 2x)

2x = 18                (next, add the constants to result up to 18)

x = 9                   (lastly, divide the constant 18 with the coefficient 2 to get 9)

Audrey and Addy also went hiking up Mount Olympus. Audrey's distance in June was 2.95 miles and for July 2 5/8 miles. Addy went 2.85 miles in June and 3 3/8 miles in July. How much farther did Addy hike than Audrey in both June and July? *Answer will be in decimal form

Answers

Answer:

Addy hiked 0.65 miles more than Audrey.

Step-by-step explanation:

In June we have the following distance traveled by Audrey (Au) and Addy (Ad):

[tex] Au_{Jun} = 2.95 miles [/tex]

[tex] Ad_{Jun} = 2.85 miles [/tex]

And, in July we have:

[tex] Au_{Jul} = 2 + 5/8 miles = 21/8 miles = 2.625 miles [/tex]

[tex] Ad_{Jul} = 3 + 3/8 miles = 27/8 miles = 3.375 miles [/tex]

Hence in June and July, they traveled:

[tex] Au_{T} = Au_{Jun} + Au_{Jul} = 2.95 miles + 2.625 miles = 5.575 miles [/tex]

[tex] Ad_{T} = Ad_{Jun} + Ad_{Jul} = 2.85 miles + 3.375 miles = 6.225 miles [/tex]

Now, we can find how much farther did Addy hike than Audrey in both June and July:    

[tex] d = Ad_{T} - Au_{T} = 6.225 miles - 5.575 miles = 0.65 miles [/tex]

Therefore, Addy hiked 0.65 miles more than Audrey.

I hope it helps you!    

PLEASE HELP QUESTIONS ARE BELOW FIRST TO ANSWER WILL BE VOTED BRAINLIEST

Answers

Answer:

1. 7.5

2. 7

3. 8

4. 1.44

5. 2

6. 4

Step-by-step explanation:

Use cross multiplication and then divide by the coefficient of x.

Here is how to solve number 1. Solve the rest of them like this.

2.5(15) = 5x

37.5 =5x

5         5

x=7.5

Please mark me brainliest and I hope this helps.

Answer:

1. x = 7.5

2. x = 7

3. x = 8

4. x = 1.44

5. x = 2

6. x = 4

Step-by-step explanation:

All you have to do is cross multipy and then solve.

Help please, I need this done as soon as possible

Answers

Answer:

b

Step-by-step explanation:

The Answer is B -6 hope this helps

Susan rides her bicycle 5 miles in 1/2 of an hour. At this rate, how many miles could she ride in 2 hours?

Answers

Answer:

20 miles

Step-by-step explanation:

to find how many miles she travels in one hour, multiply by 2 to get 10, and then multiply it by 2 again to find 2 hours

Answer:

20 miles

Step-by-step explanation:

To find out how many miles can be ridden in 2 hours, multiply 1/2 and 5 by 4 to get both answers like so:

1/2 (4) = 2 HOURS

5 (4) = 20 MILES

Therefore, Susan can ride her bike 20 miles in 2 hours.  

400.34 + 678.397
210

Answers

Answer:

1078.73721

Step-by-step explanation:

Solve the system by substitution.
Y = 10x
7x + 3y =
37

Answers

Answer:

x=1 , y=10

Step-by-step explanation:

i attached photo of steps of solution

54/x = 9/7

What does X=

Answers

Answer:

the answer is 42.

Step-by-step explanation:

9 times 6 is 54.

7 times 6 is 42.

Answer:

It'd be 486/7 or 69 and 3/7

Step-by-step explanation:

h(x) = x2 + 1 k(x) = x – 2

(h + k)(2) =
2
⇒ 5
(h – k)(3) =
Evaluate

Answers

Answer:

5, 9, and 17

Step-by-step explanation:

Did it on Edg. 2021 and got it right.

If m3 + m1 =230, find m6

Answers

Answer:

m6 is 65 degrees

Step-by-step explanation:

Since angle 3 and angle 1 are congruent, they are the same degree. The problem said that the sum of their angles is 230, so to find the individual angles of each, divide by two to get 115. Angle 3 and angle 6 add up to 180 degrees since they are adjacent to each other (that's an important rule you need to know). If angle 3 is 115 and you need to find angle 6, subtract 180 from 115 and you will get 65.

At a quiz competition for every question team A answered correctly team B answered 2 questions correctly. The ratio of the number of questions team A answered correctly to the number of questions team B answered correctly is ___ 1 to1 2 to 1 1to2 2to2

Answers

Answer:

1 to 2

Step-by-step explanation:

If A answers 1 question, B will answer 2 questions, making the ratio 1 to 2

Answer:

The answer is 1 to 2 i did the quiz on flvs

Step-by-step explanation:

3x²-2x=4 quadratic equation​

Answers

Answer:

here is the answer

Step-by-step explanation:

i needed the extra words to publish but look at the image

Camillo needs 2,400 oz of peanut butter.

What size container should Camillo buy?How many of those containers will he need?What will be the total cost of those containers?

Answers

Answer:

1. 32

2. 75

3. 384

Step-by-step explanation:

I did the assignment, on EDGE2020 and got it correct

The expression -3m - [2m + (5 - m)] + 7 was simplified as 2 - 4m. Without simplifying, explain how you can show that it has been simplified correctly.

Answers

this is how

Step-by-step explanation:

gusto ko lang magka points

In the video game Fantasy Farm, it takes 5 6 6 5 ​ start fraction, 5, divided by, 6, end fraction of a minute to harvest magic flowers, and it takes 5 6 6 5 ​ start fraction, 5, divided by, 6, end fraction of an hour to build a golden barn. Which takes more time?

Answers

Answer:

Building gold barn takes more time

Step-by-step explanation:

Time to harvest magic flowers = 5/6 of a minutes

Time to build a gold barn = 5 / 6 of an hour

1 hour = 60 minutes

Time to build a gold barn = 5 / 6 of 60 minutes

= 5/6 × 60 minutes

= 50 minutes

= 50 minutes × 60 seconds

= 3,000 seconds

Time to harvest magic flowers = 5/6 of a minutes

1 minutes = 60 seconds

= 5/6 × 60 seconds

= 50 seconds

Building gold barn takes more time

How many degrees are in a half of a full turn? another dumb question lol

Answers

160
Is the the answers r I did this before trust me

Answer:

180 degrees is half of a full turn 360 degrees in a full turn

Step-by-step explanation:

Discussion For a discrete function, can the number of elements in the range be greater than the
number of elements in the domain? Explain.

Answers

Answer:

Step-by-step explanation:gdndvdsjfehsk

EASY INEQUALITIES!!!!

Answers

Answer:

2.16, 3.45

Step-by-step explanation:

Answer:

Hello!!! erz here ^^

Step-by-step explanation:

2.16< [tex]\sqrt{5}[/tex] < 3.45

Hope this helps!! :D

The original blueprint of a concrete patio has a scale ofmath2inches=3feet. Victoria wants to make a new blueprint of the patio with alength of 16.8 inches. PART A What is the scale for the new blueprint? math 1inch= feet PART B What is the width, in inches, of the blueprint with the new scale?

Answers

Complete question :

the original blueprint of a concrete patio has a scale of 2 inches=3 feet. victoria wants to make a new blueprint of the patio with a length of 16.8 inches. original blueprints length is 14 inches and original blueprints width is 12 inches. what is the scale for the new blueprint and what is the width of the blueprint with the new scale?

Answer:

2.5 fts, 14.4 fts

Step-by-step explanation:

Given that:

Scale of original blueprint : 2inches = 3 feets

To make a new blueprint with a length of 16.8 inches, the scale for the new blueprint will be :

Original scale : 2 inches = 3 feets

Original blueprint length = 14 inches

Then,

2 inches = 3 feets

14 inches = d

Cross multiply :

2d = 42

d = 21 feets

Hence, new scale for blueprint :

16.8 inches = 21 feets

2 inches = d

16.8d = 42

d = 2. 5 feets

For the width :

14 inches = 16.8 feets

12 inches = w

14w = 201.6

w = 201.6/14

Width = 14.4feets

SV bisects angle RST. if m angle RST = 62, what is m angle RSV?

Answers

See attachment for math work and answer.

The measure of ∠RSV is 31°.

Given that, SV bisects ∠RST=62°.

We need to find the value of m∠RSV.

What is an angle bisector?

The angle bisector in geometry is the ray, line, or segment which divides a given angle into two equal parts. For example, an angle bisector of a 60-degree angle will divide it into two angles of 30 degrees each. In other words, it divides an angle into two smaller congruent angles.

Since SV bisects ∠RST into equal parts.

That is, ∠RSV=∠TSV

So, ∠RST=∠RSV+∠TSV

⇒∠RST=2∠RSV

⇒62°=2∠RSV

⇒∠RSV=31°

Therefore, the measure of ∠RSV is 31°.

To learn more about an angle bisector visit:

brainly.com/question/12896755.

#SPJ2

10 points
HEELP IMEDIALLTLY

Use linear equation to calculate intercepts.

Answers

Answer:

a=8, b=-4

Step-by-step explanation:

set both equal to zero

a: 0 (-1/2)(8)=-4

-1/2y=-4, multiply both sides by the reciprocal of -1/2, which is -2

y=8 when you multiply both sides by -2

b: 4-(0)(0)=-4

when y is 0, the equation become x-0=-4

or x=-4, meaning x must equal -4

Answer:

a is equal to 8

b=-4

Step-by-step explanation:

Add my snaq k1nglean if anyone wants to ttrade you gotta be 16+​

Answers

Alright waittt trade picsss omgggg this is a school website I’m just playing with you

0.072 as a multiple power of 10

Answers

Answer:

0.72 I think but not sure

Thank you ☺️☺️

How to do this
Evaluate 20+3(8-5)

Answers

Answer:

29

Step-by-step explanation:

Use PEMDAS

First, you will do the parenthesis which is 3.   20+3(3)

Next, you will multiply 3 by 3, which is 9.     20+9

Last you will add 20 and 9.   29

Do order of Operations.

Parentheses:

(8-5) which is 3. You now have

20+3(3).

Multiply:

3(3) which gives you 9. Now you have

Add:

20+9. Which gives you 29.

So the answer to this question is 29.

I Hope I explained this good enough, if you have any more questions, ask me.

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