Steve gets 4 points for every correct answer and loses 1 point for every wrong answer. If he answered 30 questions and scored 20 points, write a system of equations.

Answers

Answer 1

Given:

Steve gets 4 points for every correct answer and loses 1 point for every wrong answer.

Total question answered by Steve =  30

Total score = 20 points

To find:

The system of equations for the given problem.

Solution:

Let x be the number of correct answers and y be the number of wrong answers.

Total question answered by Steve =  30

[tex]x+y=30[/tex]       ...(i)

Steve gets 4 points for every correct answer and loses 1 point for every wrong answer.

Score for 1 correct answer = 4

Score for x correct answer = 4x

Score for 1 wrong answer = -1

Score for y correct answer = -y

Total score = 20 points

[tex]4x-y=20[/tex]        ...(ii)

The system of equations contains (i) and (ii).

Therefore, the system of equations have two equations [tex]x+y=30[/tex] and [tex]4x-y=20[/tex].


Related Questions

50 points on god if yall can get this

Answers

Step-by-step explanation:

The price of a game discounted by 18% is 0.82x cuz 82% is left

the price of the toy is 1.18x because x + 0.18x

the volume of water is  7/10x because 7/10 is left

the total amount of flour is 13/10x because 10/10x + 3/10x

how do you find x when y=-3

Answers

Answer:

ermm there should be an other equation right?

a sequence is a set of

Answers

Answer:

set of related events, movements, or things that follow each other in a particular order.

Step-by-step explanation:

a sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called elements, or terms). The number of elements (possibly infinite) is called the length of the sequence.

pls help i give brainly ​

Answers

5.7 repeating , the last one !!

what is 1/2(4x+14)=2(x-7)

Answers

Answer:

no solution

Step-by-step explanation:

1/2(4x+14)=2(x-7)

Multiply both sides by 2.

4x + 14 = 4(x - 7)

4x + 14 = 4x - 28

Subtract 4x from both sides.

14 = -28

Since 14 = -28 is a false statement, there is no solution for this equation.

Answer: no solution

какая фигура имеет ось симметрии и центр симетрий​

Answers

Answer:

Проведите линию через форму, чтобы каждая сторона была зеркальным отражением. Когда фигура складывается пополам по оси симметрии, две половинки совпадают. На этой фотографии белая линия по центру представляет собой вертикальную ось симметрии.

Step-by-step explanation:

Which graph can be defined by the function y = -3x + 2

Answers

Answer:

Step-by-step explanation:

The measure of the exterior angle of the triangle is

Answers

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that's supplementary to the third interior angle

2x - 2 = 45 + x

2x - x = 45 + 2

x = 47°

Answer:

x = 47

Step-by-step explanation:

Finding the third angle (y) of the triangle:

- Since angles on a straight line add up to 180:

2x -2 + y = 180

y = -2x + 2 + 180

= -2x + 182

Hence, the third angle of the triangle is -2x + 182.

Since all 3 angles of a triangle add up to 180°:

-2x + 182 + x + 45 = 180

-2x + x + 227 = 180

-2x + x = 180 - 227

-x = -47

x = 47

Hence, x = 47

6 + 4x - 9 what is the awnser

Answers

Answer:

y = 5

Step-by-step explanation:

4×(x -3y = -6 ) ➡ 4x - 12y = -24

4x -12y - 4x +9y = 9 - 24 ➡ -3y = -15

y = 5 use this value to find x

x - 3×5 = -6

OVERDUE PLEASE HELP OR I’LL CRY

Answers

Answer:

x = 9

Step-by-step explanation:

combine all the equations and set it equal to 360

10x+ 7 + 88 + 127 + 5x+3 = 360

then combine like terms

15x + 225 = 360

then solve the equation by moving 225 to the right side of the equation

15x = 135

divide both sides by 15

x = 9

PLEASE EXTRA POINTS I REALLY NEED HELP!!! 1. A ski lift carries Carol up a slope at a rate of 5 mph.
She skis down the slope, parallel to the lift, at a speed of
20 mph. The round trip takes 45 minutes.
Write and solve a system of equations to determine
how far she skis.

System:

Defined variables:

Solve:

Solution as a sentence:

Answers

Hi sorry for the late response, I know the assignment was due at 5pm today but anyway here is the answer.

System:

d= 5(0.75-t)

d= 20t

20t = 3.75 -5t

Define Variables:

d = how far Carol Skied

t = time it took Carol to go up/down

Solve:

20t = 3.75 -5t

20t + 5t = 3.75 -5t + 5t            

25t = 3.75

25t/25 = 3.75/25

t = 0.15

Now we plug in the time into the Distances:

20t = 3.75 - 5t

20(0.15) = 3.75 - 5(0.15)

3 = 3.75 - 0.75

3 = 3

Solution as Sentence:

Carol Skied 3 miles

7th grade math , help me please :)

Answers

Answer:

Done!

Step-by-step explanation:

1. 4 is a coefficient

x is a variable

12 is a constant

2. a is a variable

3 is a coefficient

b is a variable

Expand and simplify
√5 (√10+ √2)

Answers

60 for this is the answer

The side length of a square with an area of 49

Answers

Answer:

7

Step-by-step explanation:

A square has 4 sides, all of equal length. We can simply find the square root of the area to find the length and width, or length of each side. So to find the length, you find the square root of the area.

[tex] \sqrt{49} = 7[/tex]

3x²-30x+9=0
PLEASE HELP
COMPLETING THE SQUARE WILL MARK BRAINLIEST

Answers

Answer:

i have done the cutting of x's exponent

Step-by-step explanation:

= 3x - 30+9 =0

= 3x - 21 =0

= 3x= 21

= x = 21/3

x= 7 this the answer

anyone?? please? there's only 5 and i gotta get theses done asap

Answers

Answer:

you would be multiplying by 4

Step-by-step explanation:

16*4=65

Vanessa wants to determine the perimeter around her garden. She makes an small model of her garden and combines all the sides: 3x + (x + 10) + 5x + (2x + 2). She concludes that the total perimeter of her garden is 56.
Solve the following equation to determine the value of x:
3x + (x + 10) + 5x + (2x + 2) = 56

Answers

Answer:

4

Step-by-step explanation:

since it's all addition, we can remove the parentheses

[tex]3x + x + 10 + 5x + 2x + 2 = 56[/tex]

Now we combine like terms

[tex]3x+x+5x+2x+10+2=56[/tex]

[tex]11x+12=56[/tex]

We subtract both sides by 12 to get,

[tex]11x=44[/tex]

now we divide both sides by 11

[tex]x=\frac{44}{11}[/tex]

[tex]x=4[/tex]

Noah has been getting $20 a month for his allowance. He puts $8 of his allowance in the bank. How many months will it take him to save $128?

Answers

16 months !!! as answered previously

Find the midpoint between (3 , -4) and (6 , 1). Group of answer choices

Answers

Answer:

[tex](4.5, -1.5)[/tex]

Step-by-step explanation:

[tex](\frac{3+6}{2}, \frac{-4+1}{2})\\(4.5, -1.5)[/tex]

3. Jorge needs to buy a new tire and wants to find our the diameter of his current
tires. He looks at the tire and it reads P280/60R15. What is the diameter of the
entire tire (in inches)?
A)6.6 in.
B)15 in.
C)28.2 in.
D)168 in.

Answers

C I’m not sure but I hope it helps

Need help ASAP TYSM

Answers

Answer:

Step-by-step explanation:

1/2

what is the mass of a 7.91cm3 piece of lead having a density of 11.34g/cm

Answers

Answer:

89.6994g

Step-by-step explanation:

M = DV

   = 11.34g/cm^3 * 7.91cm^3

   = 89.6994g

Hope this helps!

PLEASE HELP!!

Daniel's house is identified by the point on the coordinate grid. If he went three units west and three units north, at what point where he end up?

A. (4, -2)

B. (-2, 4)

C. (1, 1)

D. (1, -1)

Answers

Answer:

If he starts at his house (4,-2) and goes left 3 and up 3 he ends up at C. (1,1)

Answer:

sdadawdasdwasda

c 11

an auctioneer charges 8% for a house if the house is sold at 230500 find the charge of the auctioneer

Answers

Answer:

230500×100/8= 2881250

88.7% of 58
Please help me i need the answer!!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

the answer is 51.4% i Believe

what is the equation of the line

Answers

Answer:

y=-x+3.

Step-by-step explanation:

The graph goes down one and right one before making another point. This means that the slope is -1/1. Simplify and you get -1. So far we have y=-1x. -1x is the same as -1. Now we have y=-x. The graph intersects the y-axis at the point (0,3). This makes our y-intercept 3. Our final equation is y=-x+3.

Help me solve this problem please

Answers

Answer: r^8

Step-by-step explanation:

r to the power 16-8

r^8 , third choice

Last week, Thomas ran miles. This week, he plans to run as far as he ran last week. How many miles does Thomas plan to run this week?

Answers

Uh... I’m not sure if this is the same problem but I hope this helps...
2x

Miles = x

So x + x = 2x

Find the coordinates of the x intercept and y intercept

Answers

Answer:To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y. ...

To find the x-intercept, set y = 0 \displaystyle y=0 y=0.

To find the y-intercept, set x = 0 \displaystyle x=0 x=0.

answer is in there at the bottem

Step-by-step explanation:

Most intruments produce notes across ranges called octaves which are made up of 8 notes how many octaves do 51 notes span?

Answers

Answer: 51 notes span 6 octaves.

Step-by-step explanation:

The word "octave" is a Latin word that means "eight".

In an instrument, Each octave is made up of 8 musical notes.

If we have 51 notes , the number of octaves can be made in it = [tex]\dfrac{51}{8}[/tex]

[tex]=6.375\approx6\ \ \ \ \ \text{[Rounded to the nearest whole number]}[/tex]

Hence, 51 notes span 6 octaves.

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