Brian, Chris, and Damien took a math test that had 20 questions. The number of questions Brian got right is 14 more than the number of questions Chris got right. Damien correctly answered 2 less than the number of questions Chris answered correctly. If Brian and Damien have the same score, which statement is true?

Answers

Answer 1

Answer:

C. Brian and Damien both answered 2 more questions correctly than Chris did.

Step-by-step explanation:

A. Brian and Damien both answered 2 fewer questions correctly than Chris did.

B. Brian and Damien both answered 4 more questions correctly than Chris did.

C. Brian and Damien both answered 2 more questions correctly than Chris did.

D. Brian and Damien both answered 4 fewer questions correctly than Chris did.

Let

B = number of questions Brian got right

C = number of questions Chris got right

D = number of questions Damien got right

The number of questions Brian got right is 14 more than 1/4 the number of questions Chris got right.

B = 14 + (1/4) * C

Damien correctly answered 2 less than 5/4 the number of questions Chris answered correctly.

D = (5/4) C - 2

If Brian and Damien have the same score,

14 + (1/4) * C = (5/4) C - 2

14 + 1/4C = 5/4C - 2

14 + 2 = 5/4C - 1/4C

16 = 5C-C/4

16 = 4/4C

C = 16

B = 14 + (1/4) * C

= 14 + 1/4*16

= 14 + 4

= 18

D = (5/4) C - 2

= 5/4*16 - 2

= 5*4 - 2

= 20 - 2

= 18


Related Questions

Jenny ran 5 more miles this week than she ran last week. Let t be the number of miles she ran last week. Write an expression that tells how many miles she ran this week.

Answers

Answer:

t+5+x

Step-by-step explanation:

It says Jenny ran 5 more miles than last week so you find the number from last week then add 5. X is the miles she ran this week

Answer:

t + 5

Step-by-step explanation:

In this problem, you have to recognize what the information is telling you in terms of the vocabulary used. For example, the first sentence tells us that she ran 5 more miles than last week. This is key because it lets us know that our expression will have an addition sign.

Once you recognize that the problem is telling you to add 5 to her previous distance, you get a final expression of t + 5. Hope this helps!

What is the equation of the vertical line through -8, 5

Answers

Answer:

The answer of the following questions is y=3x-19

find the DIFFERENCE between 901.28 and 375.54

Answers

Answer:

Pretty sure its 525.74

A basketball player is 90 inches tall. A model is created of the player using a scale factor of 1:20. How tall is the model in inches?

Answers

Answer:

4.5

Step-by-step explanation:

For some reason, in our history class, there are 14 more boys than there are girls. If a total 32 students are in the class, how many boys and how many girls are there

Answers

Answer:

We can assume X is the number of girl, so the number of boy should be X+6.

 

Based on question, we can get X+X+6=32

2X+6=32

2X=26

X=13

So the answer is, 13 girls are in the class.

Step-by-step explanation:

What is the y-intercept of the function f(x) = -2/9x + 1/3

-2/9
-1/3
1/3
2/9

Answers

Answer:

Step-by-step explanation:

-1/3

how is a dilation different from other transformations?

Answers

A dilation changes the size of something

plz help important!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

the cost of gas i think

Step-by-step explanation:

i dont really know

Answer:

I think it is, B( The length of the route

Step-by-step explanation:

1. You pay $25.00 to fill up the 13-gallon gas tank of your internal combustion engine car.
How much are you paying for one gallon of gas?

Answers

Answer:

$1.92 a gallon!!

Step-by-step explanation:

Answer:

You will pay $1.92 per gallon.

Step-by-step explanation:

Divide 25.00 by 13 to by how much money per gallon:

[tex]25.00/13=1.923[/tex]

You cannot round up.

You will pay $1.92 per gallon.

-Hope this helps! :)

PLEASE HELP AND SHOW WORK PLS

Answers

(2x^2+10x+12)/ (x+3)
(x=5x) (x+3)
5x/3x
2x

EXPLAIN HOW YOU GOT 3 AND 4 WITH STEPS PLS ITS URGENT

Answers

Answer:

2. x=25°

3. x=15°

4. x=26°

Step-by-step explanation:

For problem 2, we know the sum of the angles of a triangle is 180°. Also, supplementary angles are 180°.

30+20+x=180                  [combine like terms]

50+x=180                         [subtract both sides by 50]

x=130

Now that we have the missing angle, we can use that to solve for x.

2x+130=180                     [subtract both sides by 130]

2x=50                               [divide both sides by 2]

x=25°

Now, we know that x=25°.

For problem 3, we know the sum of the angles of a triangle is 180°. This means, we add all the angles together and get 180°.

8x+25+2x+5=180            [combine like terms]

10x+30=180                     [subtract both sides by 30]

10x=150                            [divide both sides by 10]

x=15°

Now, we know that x=15°.

For problem 4, we know the sum of the angles of a triangle is 180°. This means, we add all the angles together and get 180°.

x+12+52+90=180             [combine like terms]

x+154=180                        [subtract both sides by 154]

x=26°

Now, we know that x=26°.

Answer:

3. x = 5        4. x = 26

Step-by-step explanation:

3.

(2x + 5)  + 8x + 25 = 180

10x +30 = 180

10x = 150

x = 15

4.

52 + 90 + x+12 = 180

52 + 90 + 12 = 142

x + 142 = 180

x = 180 - 154

x = 26

Hilda adds 5 to a number, then multiplies the sum by negative 2. The result is 6. Write and solve an equation to find the number, x.
What is the number?
plssssssssssssssss

Answers

X = mystery number

(X + 5) * -2 = 6

X+ 5 = -3
X = -8

Lionel Messi, who is running 20 feet per second is 15 feet behind Cristiano Ronaldo who is running at 17 feet per second. How long will it take Messi to catch up with Ronaldo?

Answers

Answer:

15 feet

Step-by-step explanation:

Answer:

15 feet

Step-by-step explanation:

8v-34= 6(v-4)
Solve for v

Answers

Answer:

v=5

Step-by-step explanation:

How many solutions does the following equation have? -6(x + 7) = -42 - 2​

Answers

Answer:

x = 1/3 or .333

Step-by-step explanation:

Patulong naman sa business math HAHHA

Answers

English mam ahahahhahahahahahha
Yeydhdurufjfjfjfifjfufufufufufururesa fududucigiv fjdhdudueuc cjcjcjdhducuc cjcjcjd


can Yhu help me plzzz!!!!

Answers

Answer:

f^-1 (x) =7 − 21x

Step-by-step explanation:

Hope this helps!

Plz give brainliest

What is the equation for this line?

Answers

Answer:

The equation of the line is y = 2x - 3

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

m is the slope of the line,  [tex]m=\frac{y2-y1}{x2-x1}[/tex] b is the y-intercept (value y at x = 0)

Let us take two points on the line to find its equation

∵ Points (3, 3) and (0, -3) lie on the line

x1 = 3 and y1 = 3

x2 = 0 and y2 = -3

→ Use the rule of the slope above to find m

∵ [tex]m=\frac{-3-3}{0-3}=\frac{-6}{-3}=2[/tex]

m = 2

→ Substitute its value in the form of the equation above

∴ y = 2x + b

∵ b is the value of y at x = 0

∵ y = -3 at x = 0

b = -3

→ Substitute it in the equation above

∴ y = 2x + -3

→ Remember (+)(-) = (-)

∴ y = 2x - 3

The equation of the line is y = 2x - 3

PLEAse i need help brainlist if u get it right

Answers

Answer:

C) The resulting figure will be congruent to the original rectangle, because dilations with a scale factor of 1 have the same coordinates.

Step-by-step explanation: Multiplying any number by 1 will result in the same number, this applies to coordinates as well.  

Write the slope-intercept form of the equation of each line given the slope and y-intercept.
1) Slope = 6, y-intercept = 5

2) Slope = -1/3, y-intercept = 1

Answers

Answer:

1.) y= 6x+5

2.) y= -1/3x+1

Step-by-step explanation:

Slope Intercept Form is y=mx+b,

where slope is m

the y-intercept is b

So I just plugged in the slope and y-int to get the equation

Which of the following statements does not represent the same value as the others?

the distance between 0 and −9
the absolute value of negative 9
the opposite of 9
the absolute value of 9

Answers

the distance between 0 and −9

the absolute value of negative 9

the opposite of 9

the absolute value of 9

Can someone please help me asap I’ll mark brainlist!!!!!

Answers

Answer:

No because the aren’t equalll

Step-by-step explanation:

Is this ggod

Answer:

No

Step-by-step explanation:

32/4 = 8

72/10 = 7.2

Pocndnsmwntjjwbsnsns. Dhaka be d

Answers

Answer: m = 4

Step-by-step explanation: 2x4+5=13, 2x4=8 and 8+5=13.

What is the area of the triangle?

Answers

Answer:

4

Step-by-step explanation:

The formula of the area of a triangle is 1/2 times base times height

1/2 .4.2 equals 4

Find the product 0.025 x 7
A. 0.0175
B: 0.175
C. 1.75
D. 17.5

Answers

Answer:

b

Step-by-step explanation:

used a calucator

A. 0.0175 you have a calculator but thanks for the answer?? I asked siri

8^ 1/3 what is it simplified

Answers

Step-by-step explanation:

Simplifying mixed numbers

Following are the steps to simplify mixed fractions: Find the highest common factor (HCF) of numerator and denominator of the fraction part. Divide both the numerator and the denominator by HCF. The whole number part will remain the same.

Answer:

8^1/3= 2

:-))))

What is the equation of the line that passes through the point (5, 1) and has a slope
of 1?

Answers

Answer:

y=1x-4

Step-by-step explanation:

Point Slope Formula: y=m(x-x1)+y

y=1(x-5)+1

1x-5+1

y=1x-4 (y=mx+b)

Easy 7th grade work sheet ! Please help , I’ll give brainliest (all answers)

Answers

1. +16
2. -11
3. -6
4. 9
5. 8
6. 5
7. Simply place dots on the numbers stated, which are 11, -5, and -8.
8. The absolute value of a non-zero number is positive because absolute value is a magnitude, and is either positive or zero. The absolute value of any non-zero number can be thought of as its distance from zero, which will always be positive.

Please mark as branliest if i helped!!:)

Can someone please help me on 7

Answers

Answer:

B

Step-by-step explanation:

plug in 5

5^2-5(4)+7=12

Answer: B.  f(x) = x^2-4x+7

===========================================

Work Shown:

A.

f(x) = 3x-8

f(5) = 3*5-8 ... replace every x with 5; simplify with PEMDAS

f(5) = 15-8

f(5) = 7

We can cross choice A off the list since we got 7 as an output, instead of 12.

---------------

B.

f(x) = x^2-4x+7

f(5) = (5)^2-4(5)+7

f(5) = 25-4(5)+7

f(5) = 25-20+7

f(5) = 5+7

f(5) = 12

We got the output we wanted. So we can stop here.

---------------

If you're curious about the others, then,

C.

f(x) = -x+14

f(5) = -5+14

f(5) = 9

That doesn't work, so we cross choice C off the list.

---------------

D.

f(x) = |x-7|

f(5) = |5-7|

f(5) = |-2|

f(5) = 2

Choice D is crossed out as well.

So only choice B works.

10.7+(-3.5) help plz

Answers

Answer:

7.2

Step-by-step explanation:

Hi there !

10.7 + (-3.5) =

= 10.7 - 3.5

= 7.2

Good luck !

Other Questions
What is the bet between the lawyer and the banker?AThe banker will pay the lawyer two milliondollars to spend fifteen years in solitaryconfinement.BThe lawyer will pay the banker two milliondollars if he can't stay in solitary confinementfor five years.C The lawyer must spend anywhere between fiveand fifteen years in solitary confinement.D The banker and the lawyer will attempt to seewho can last the longest in solitaryconfinement. What does Emerson mean when he writes "but none of them own thelandscape"? Based on the structures of each type, which cell do you think can perform more functions: Human cells or bacterial cells? Which application of a new technology can be attributed to an invention of Thomas Edison? aSonar technology was used to track submarines. bRefrigerated railroad cars allowed food to be transported long distances. cLight bulbs made it efficient for factory workers to work at night. dDiesel engines were used in the production of airplanes.Question 9 (5 points)The Knights of Labor and the America Federation of Labor developed in response to the- aincreased demand for skilled workers bdecreased power of political machines cdecreased profitability of the agricultural sector dincreased need to protect worker interests Why is it important that goals be measurable?A.It is easier to determine when a measurable goal is met than an unmeasurable one.B.Motivation is improved when progress is measurable.C.Having measurable goals increases the likelihood that the goals will be attained.D.all of the above What concentration of NO3NO3 results when 897 mL897 mL of 0.497 M NaNO30.497 M NaNO3 is mixed with 813 mL813 mL of 0.341 M Ca(NO3)2? A computer technician charges $75 for a consultation plus $35 per hour. Write the linear equation that models this situation. SOMEONE PLZ HELP!!!! please help me and don't just write a random answer for the points. thank you Help please for brainliest A feral cat needs to eat two mice a day to survive. A mouse needs to eat 5 seeds a day to survive. How many seeds are required to feed a feral cat for a week (7 days)? Please help me out! Help me please! This is so important!The ratio of girls to boys in a primary school is 4:5. If there are 24 girls, how many boys are there? Help! Find the measure of 7.Given:1 is a right angle3 = 378 =62A. 53B. 65C. 105D. 127E. 245 A car wash detailed 132 cars in 4 hours. How many cars did they detail per hour? what are all the three legal declaration to be made by a candidate In art when your drawing, what does tint mean? Define tint three types of threat in the nursing facility and a appropriate example for eeach Can you help, Solve for x. -2 + 3x = 2 + 6 + X SOMEONE PLEASE HELP QUICK Estimate 8,633 x 57,008