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

Algebra Test Question! Please answer correctly!! :)
Please answer the following questions with this format
A:
B:
C:
You are 9 miles away from home. You start biking home at a speed of 6 miles per hour.

a. write an equation that represents your distance from home ( y ) after ( x ) hours
b. find the y-intercept of the graph
c. find the x- intercept of the graph

Answers

Answer:

A: y=9-6x

B: y=6x+9

C: y=9-6x

Step-by-step explanation:

a) y=9-6x, standard form is ax+by=c so add 6x to both sides

b)  from the first, we had it in slope intercept form, mx+b where b is the y-intercept.  y=-6x+9

c)  The x intercept occurs when y=0 so: y=9-6x

x=1.5

help me!!!!!!! I need help​

Answers

Answer:

the  answer is 8

Step-by-step explanation:

BC

Answer:

8

Step-by-step explanation:

18-inches is 1.5 feet.

Find the Value of 2a2+5b2

Answers

Answer:

I get 92 but not really sire

26 beats in 1/6 minute

Answers

Answer:

If you wanna know how many beats are in a full minute, the answer is 156 beats

Step-by-step explanation:

1/6*6=1

26*6=156

Answer is 156 beats in one minute.

If 26 beats is in 1/6 of a minute, then multiply 1/6 by 6 to get 1. And multiply 26 by 6 to get 156.

Audrey was given a gift card for a coffee shop. Each morning, Audrey uses the card to buy one cup of coffee. Each cup of coffee costs $2.50 and after buying 2 cups of coffee, the card had a $45 remaining balance. Write an equation for A,A, in terms of x,and x representing the amount money remaining on the card after buying x cups of coffee.

Answers

Answer:

The expression is y-2.50x=45The gift card is worth $50

Step-by-step explanation:

step one:

let y be the amount of the gift card

and let x be the number of cups of coffee bought

given that Audrey bought 2 cups x=2

y-2.50x=45

step two:

substitute x= 2 in the expression we have

y-2.5(2)=45

y-5=45

solving for y

y=45+5

y=$50

the expression is y-2.50x=45

the gift card is worth $50

Ignore the paragraph part just part a and part b, please & thank you!

Answers

Answer:

A) Three times x to the second power added to two times y which is added to a half.

B) Six times x plus two multiplied by y added to one by two

If my answer helped, kindly mark me as the brainliest!!

Thanks!!

f(x) = 4x – 1
g(x) = x2 - 3x + 5

Answers

5914 1404 393

Answer:

  f(1) = g(1) = 3

  f(6) = g(6) = 23

Step-by-step explanation:

Perhaps you want to know the solutions to ...

  f(x) = g(x)

Substituting the function definitions, this is ...

  4x -1 = x^2 -3x +5

  0 = x^2 -7x +6 . . . subtract 4x-1

  0 = (x -6)(x -1) . . . factor the equation

Solutions are x = 1 and x = 6, the values that make the factors zero.

The corresponding function values are ...

  f(1) = 4(1) -1 = 3

  f(6) = 4(6) -1 = 23

Solutions for y = f(x) = g(x) are (x, y) = (1, 3) and (6, 23).

please help! i have no clue what i am looking at.

Answers

The answer is b
I have done it in my head

write an equation of a line passing through point p(-2, 6) that is parallel to the line x= -5​

Answers

Answer:

x= -2

Step-by-step explanation:

x = -5 is a vertical line, so a line parallel would also have to be a vertical line

It goes through the point ( -2,6)

The x coordinate -2

So a line parallel would be x= -2

Answer:

x= -2

Step-by-step explanation:

PLEASE HELP, DUE SOON!!

Answers

Answer:

118

Step-by-step explanation:

because it says: if m < 11 = *118*

The polynomial p(x)=x^3+7x^2-36p(x)=x 3 +7x 2 −36p, left parenthesis, x, right parenthesis, equals, x, cubed, plus, 7, x, squared, minus, 36 has a known factor of (x+3)(x+3)left parenthesis, x, plus, 3, right parenthesis. Rewrite p(x)p(x)p, left parenthesis, x, right parenthesis as a product of linear factors. p(x)=

Answers

Answer:

(x-2)(x+3)(x+6)

Step-by-step explanation:

Given the polynomial function p(x)=x^3+7x^2-36

We are to write it as a product of its linear factor

Assuming the value of x that will make the polynomial p(x) to be zero

Let x = 2

P(2) = 2³+7(2)²-36

P(2) = 8+7(4)-36

P(2) = 8+28-36

P(2) = 0

Since p(2) = 0 hence x-2 is one of the linear factors

Also assume x = -3

P(-3) = (-3)³+7(-3)²-36

P(-3) = -27+7(9)-36

P(-3) = -27+63-36

P(-3) = 36-36

P(-3) = 0

Since p(-3) = 0, hence x+3 is also a factor

The two linear pair are (x-2)(x+3)

(x-2)(x+3) = x²+3x-2x-6

(x-2)(x+3) = x²+x-6

To get the third linear function, we will divide x^3+7x^2-36 by x²+x-6 as shown in the attachment.

x^3+7x^2-36/x²+x-6 = x+6

Hence the third linear factor is x+6

x^3+7x^2-36 = (x-2)(x+3)(x+6)

Answer:

x^3 + 7x^2 -36 = (x + 3)(x-2)(x + 6)

Step-by-step explanation:

Here we want to rewrite the polynomial

P(x) = x^3 + 7x^2 - 36

As a product of linear factors given that we have one of the roots already as (x + 3)

What we shall do here is to divide the polynomial by x + 3

Please check attachment for long polynomial division

From the division, the other factor is x^2 + 4x -12

So we can rewrite the polynomial as;

x^3 + 7x^2 -36 = (x + 3)(x^2 + 4x -12)

So let’s now write x^2 + 4x -12 as a product of its linear factors

x^2 + 4x -12 = x^2 + 6x -2x -12

= x(x + 6)-2(x + 6)

so we have;

(x -2)(x + 6)

Therefore;

x^3 + 7x^2 -36 = (x + 3)(x-2)(x + 6)

Need help asap! Thanksss

Answers

The correct answer is 558

Answer: 558^2

Step-by-step explanation: ( A= a+b/2 x h)

A= 28+34/2 x 18 = 558

hopefully this helps

                                                 

question attached through picture​

Answers

Step-by-step explanation:

(1/n)^-2/3

= n^2/3

= 3 root of n^2

solution is 3)

Which of the following numbers is written
in CORRECT scientific notation?
3.41 · 104
34.1 : 105
3.41 + 104
0.341 · 106
HELPP PLZZ

Answers

In scientific notation, the first part is always between 1 and 9, otherwise the exponent would change. So, for example, 10.1*10.^5 would not be correct, but could be written as 1.01*10^6. Likewise, .101*10^8 would not be correct, but it could be written as 1.01*10^7. So for this question, choice a is correct.

Paul's mom sent him to the grocery store with $10 to buy bread and cheese for sandwiches. Paul picked out a loaf of bread that costs $3.25, and a deli cheese that costs $5.99 a pound. He would like to buy as much cheese as possible, so he asks the deli worker to see how much each slice weighs. Each slice weighs 0.04 pounds. Which inequality can be solved to find x, the number of slices that Paul can afford to buy?

Answers

Given:

Total amount = $10

Cost of loaf of bread = $3.25

Cost of cheese = $5.99 per pound

Each slice weights = 0.04 pounds.

To find:

The inequality for the number of slices that Paul can afford to buy.

Solution:

Let x be the number of slices that Paul can afford to buy.

Weight of on slice is 0.04 pounds. So, weight of x slices is 0.04x pound.

Cost of cheese = $5.99 per pound

So, total cost of cheese for x slices = $5.99 × 0.04x

Now, Paul has $10 to buy bread and cheese for sandwiches. Cost of loaf of bread is $3.25.

[tex]3.25+(5.99\times 0.04x)\leq 10[/tex]

[tex]0.2396x\leq 10-3.25[/tex]

[tex]0.2396x\leq 6.75[/tex]

Divide both sides by 0.2396.

[tex]x\leq \dfrac{6.75}{0.2396}[/tex]

[tex]x\leq 28.172[/tex]

The maximum integer value of x is 28.

Therefore, the required inequity is [tex]3.25+(5.99\times 0.04x)\leq 10[/tex] and 28 number of slices Paul can afford to buy.

can you terminate 1/10

Answers

Answer:

Hope this helps...if it dosent, sorry

Step-by-step explanation:

A survey asks students to name their favorite outdoor activity. 12 students say bike riding, 8 students say climbing trees, and 5 students say swimming. Mia says that 40% olf the students say their favorite activity is climbing trees. Is she correct? Explain

Answers

Answer:

Mia is incorrect. 32% of the students say climbing trees is their favorite.

Step-by-step explanation:

Percentage of the students that chose climbing trees = number of students that chose climbing trees ÷ total number of students surveyed × 100

Number of students that chose climbing trees = 8

Total number of students = those that chose riding bike + those that chose climbing trees + those that say swimming = 12 + 8 + 5 = 25

Therefore,

% of the students that say climbing trees = [tex] {8}{25}*100 = \frac{800}{25} = 32 [/tex].

Mia is wrong.

32% say climbing trees is their favorite. NOT 40%.

Select the correct answer. The equation of a line in the point-slope form is show below. y - 9 = ls 1/5(x - 2) What is the slope of this line?

Answer Choices:
A. 2
B. 1/9
C. 5
D. 1/5​

Answers

the slope for this is 1/5

Answer:1/5

Step-by-step explanation:

A polar bear was sitting on the top of an ice float that was 2.5 meters above the surface of the water. The polar bear dove 6.5 meters from the top of the float into the water to catch a seal. Relative to the surface of the water, which equation best represents how far below the surface the polar bear dove?

Answers

Answer:

Step-by-step explanation:

Let the surface of the water be at 0m

If a polar bear was sitting on the top of an ice float that was 2.5 meters above the surface of the water, the distance between the ice float and the surface of the water will be:

= 2.5 - 0

= 2.5m

If the polar bear dove 6.5 meters from the top of the float into the water to catch a seal, to get the distance between the bear under the water to the sea level, we will use the expression:

2.5 + x = 6.5

Subtract 2.5 from both sides

2.5+x -2.5 = 6.5-2.5

x = 4.0m

Hence the equation that best represents how far below the surface the polar bear dove is 2.5 + x = 6.5 where x is the distance between the polar bear below and the surface of the water

999÷128= plz help mee

Answers

Answer:

The answer is (7.8046875)

Step-by-step explanation:

Hope this helped

Find the angle BCD.PLZ!!!!!!!

Answers

Answer:

19

Step-by-step explanation:

Firstly find BCE then divide by 2.

8. A sequence can be generated by using 2n - 11. What are the first four terms in
the sequence?

Answers

Answer:

              [tex]\bold{a_1=-9\,,\quad a_2=-7\,,\quad a_2=-5\,,\quad a_4=-3}[/tex]

Step-by-step explanation:

[tex]a_n=2n-11\\\\a_1=2(1)-11=2-11=-9\\\\a_2=2(2)-11=4-11=-7\\\\a_3=2(3)-11=6-11=-5\\\\a_4=2(4)-11=8-11=-3[/tex]

1. Miles and Simon do chores to earn an allowance from their parents. Miles has $120 saved and gets a $10 allowance per week. His brother Simon has $75 saved but he does more chores so he gets $15 a week. What is the solution and how did you find it?

How long will it take for them both to have the same amount saved?

How much will they both have when they have the same amount?

Answers

Answer:

120 +10w = 75 + 15w, w=weeks, found by adding savings to rate times and unknown variable of weeks and setting equal to each other. 9 wks, $210

Step-by-step explanation:

120 +10w = 75 + 15w

120-75= - 10w+15w

45=5w

45/5=9

9 weeks

120 + 90 = 75 + 135

210= 210

The regular price of a baseball hat is $15.65. If Julio buys the baseball hat on sale for 20% off the regular price, how much change will he receive after paying with $20?

Answers

Begin by multiplying $15.65 by 0.20 to find what 20% of the regular price is. This gives you 3.13, which in this situation means $3.13.
To find the price with discount subtract 15.65-3.13. This gives you $12.52.
To find out the change, subtract 20-12.52. This gives you $7.48.
So, he will receive $7.48 in change.
Hope this helps!

Write 3 in factor form.
-------
4

3 × 3 × 3 × 3
3 × 4 = 12
4 × 4 × 4
4 × 4 × 4 × 4

Answers

Answer:

c

bc u have to multiple 4 three times if u do b then it’s going to be wrong

Step-by-step explanation:

Answer:

c

bc u have to multiple 4 three times if u do b then it’s going to be wrong

Step-by-step explanation:

Carol invested $2,560 into two accounts. One account paid 6% interest and the other paid 8% interest. She earned 7.25% interest on the total investment in one year. How much money did she put in each account? Use the general formula, I=Prt, to model simple interest applications, where I is equal to the interest, P is equal to the product of the principal, r is equal to the rate, and t is equal to the time.

Answers

Answer:

The amount she put in the account that paid 6% interest = x = $960

The amount she put in the account that paid 8% interest = y = $1600

Step-by-step explanation:

Carol invested $2,560 into two accounts. One account paid 6% interest and the other paid 8% interest. She earned 7.25% interest on the total investment in one year.

I=Prt, to model simple interest applications, where I is equal to the interest, P is equal to the product of the principal, r is equal to the rate, and t is equal to the time.

Step 1

We have to calculate the total interest earn on the initial capital

P = $2,560

R = 7.25% = 0.0725

T = 1

I = $2,560 × 0.0725 × 1

I = $185.60

Let the amount Invested in the account that paid 6% interest = x

Let the amount Invested in the account that paid 8% interest = y

Hence:

$185.60 = x × 6% + y × 8%

$185.60 = 0.06x + 0.08y......Equation 1

$2560 = x + y........ Equation.2

x = $2560 - y

$185.60 = 0.06x + 0.08y......Equation 1

185.60 = 0.06(2560 - y) + 0.08y

185.60 = 153.6 - 0.06y + 0.08y

185.60 - 153.60 = 0.02y

y = 32/0.02

y = $1600

x = $2560 - y

x = $2560 - $1600

x = $960

The amount she put in the account that paid 6% interest = x = $960

The amount she put in the account that paid 8% interest = y = $1600

write the sentence as an equation.241is the same as 364 fewer than f​

Answers

Answer:

241 = f - 364

Step-by-step explanation:

The answer is 241 = f - 364

Have a nice day / night! :)

ok there’s the science slides , and i think they are quite easy i just need some help bc im lazy . ik this is the math thing but

Answers

Answer:

just look up the answers on google

Step-by-step explanation:

Which of the following numbers would be an outlier if added to the data set below?
234, 187, 201, 199, 217, 200, 201, 193
A: 111
B: 201
C: 235
D: 204

Answers

Answer:

111

Step-by-step explanation:

Answer:

111

Step-by-step explanation:

Is 9 4/9 greater than less than or equal to ✓144

Answers

Answer: less than

Step-by-step explanation:

Because the square root of 144 is 12 it would be greater than 9 4/9. So 9 4/9 is less than 12

It’s less than. Jensen
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Explain how "Indian" reveals a contrasting point of view of life in early America1 Indian2 by Rosemary and Stephen Vincent Bent34 I don't know who this Indian is,5 A bow within his hand,6 But he is hiding by a tree7 And watching white men land.8 They may be gods -- they may be fiends --9 They certainly look rum.10 He wonders who on earth they are11 And why on earth they've come.1213 He knows his streams are full of fish,14 His forests full of deer,15 And his tribe is the mighty tribe16 That all the others fear.17 -- And, when the French or English land,18 The Spanish or the Dutch,19 They'll tell him they're the mighty tribe20 And no one else is much.2122 They'll kill his deer and net his fish23 And clear away his wood,24 And frequently remark to him25 They do it for his good.26 Then he will scalp and he will shoot27 And he will burn and slay28 And break the treaties he has made29 -- And, children, so will they.3031 We won't go into all of that32 For it's too long a story,33 And some is brave and some is sad34 And nearly all is gory.35 But, just remember this about36 Our ancestors so dear:37 They didn't find an empty land.38 The Indians were here. 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