PLEASE HELP ASAP!! Students take a test worth a total of 100 points. There are 24 questions on this test, some are worth 5 points and others are worth 3. Solve for how many 5 point questions and 3 point questions there are on the test

Answers

Answer 1

Answer:

There are 14 5-point questions and 10 3-point questions.

Step-by-step explanation:

Form 2 equations:

Let x= 5-point questions

Let y= 3-point questions

1.) x+y=24

2.) 5x+3y=100

Use substitution by reforming equation 1 in terms of x or y (I used y)

1.) y=24-x

Sooo, substitute this into the y in the 2nd equation:

5x+3(24-x)=100

5x+72-3x=100

2x=100-72

2x=28

x=14

Now that we have x, substitute this into the 1st equation to get y:

1.) y=24-x

y=24-14

y=10

In conclusion, there are 14 5-point questions and 10 3-point questions.

Answer 2

Answer:

There are 14 questions that are worth 5 points and there are 10 questions that are worth 3.

Step-by-step explanation:

14 x 5 = 70

10 x 3 = 30

70 + 30 = 100

14 + 10 = 24 questions total


Related Questions

show how to rewrite 1/5 with the denominator 10.

Answers

Answer:

first blank: 2

second blank: 2

what is the answer to (a+3)(b+5)

Answers

Answer:

ab+5a+3b+15

Step-by-step explanation:

(a+3)(b+5)

a(b+5)+3(b+5)

ab+5a+3b+15

ratio of girls to boys is 2:3 how many boys if there are 56 girls

Answers

Answer:

78 boys

Step-by-step explanation:

If the raio is 2:3 that means there are 5 equal parts

56/2 28

3 x 28 = 78

Under her cell phone plan, Aubrey pays a flat cost of $57.50 per month and $4 per gigabyte. She wants to keep her bill at $75.10 per month. Write and solve an equation which can be used to determine x, the number of gigabytes of data Aubrey can use while staying within her budget

Answers

Answer:

To stay within budget, she must use 4.4 gigabytes.

Step-by-step explanation:

Giving the following information:

Fixed cost= $57.50 per month

Variable cost= $4 per gigabyte.

She wants to keep her bill at $75.10 per month.

First, we need to establish the total cost formula:

Total cost= 57.5 + 4*x

x= number of gigabytes

Now, we isolate x:

75.1= 57.5 + 4x

17.6/4= x

4.4= x

To stay within budget, she must use 4.4 gigabytes.

Answer:

she has to use 4.4 gigabytes

Step-by-step explanation:

Eli is blocking off several rooms in a hotel for guests coming to his wedding. The hotel can reserve small rooms that can hold 3 people, and large rooms that can hold 5 people. Eli reserved twice as many large rooms as small rooms, which altogether can accommodate 65 guests. Determine the number of small rooms reserved and the number of large rooms reserved.

Answers

Answer:

Step-by-step explanation:

Answer:

5 small rooms and 10 large rooms

Step-by-step explanation:

EZ POG

Pls, HELP ASAP! 10 POINTS!

Answers

1,3,1,2

Step-by-step explanation:

don't know if I'm working correctly

Answer:

4th option

Step-by-step explanation:

The first step for the first two choices are incorrect, the first one is supposed to be same side exterior angles, the second, same side exterior as well. For the third, the third step is not alternate interior angles.

???????????????????ASAPP

Answers

Answer:

number 3

Step-by-step explanation:

Answer:

M = 2 b= 10

Step-by-step explanation:

Turn it to mx + b form

By +2x to both sides

Y = 2x + 10

write two numbers that multiply to the value on top and add to the value on bottom. its for a test

Answers

Answer:

-6 and -3

Step-by-step explanation:

PLEASE I WLL GIVE BRAINLIEST JUST HELPS MEEEEE OMG IM ON MY SECOND ATTEMPT PLS PLS PLS HELP

Answers

Answer:

[tex] \purple { \bold{ \frac{ (x - 3)}{3x - 18} }}[/tex]

Step-by-step explanation:

[tex] \frac{x + 3}{ {x}^{2} + 7x + 12 } . \frac{ {x}^{2} + x - 12}{3x - 18} \\ \\ = \frac{x + 3}{ {x}^{2} + 4x + 3x + 12 } . \frac{ {x}^{2} + 4x - 3x - 12}{3(x - 6)} \\ \\ = \frac{x + 3}{ {x}(x + 4) + 3(x + 4) } . \frac{ {x}(x + 4) - 3(x + 4)}{3(x - 6)} \\ \\ = \frac{ \cancel{(x + 3)}}{ (x + 4) \cancel{(x + 3)} } . \frac{ (x + 4) (x - 3)}{3(x - 6)} \\ \\ = \frac{1}{ \cancel{ (x + 4)} } . \frac{ \cancel{ (x + 4)} (x - 3)}{3(x - 6)} \\ \\ \red{ \bold{= \frac{ (x - 3)}{3x - 18} }}\\ \\ [/tex]

solve this
|2x-7|=1
I need help

Answers

unfortunetly my answer was wrong so i edited it........

Answer:

x = 3, x = 4

Step-by-step explanation:

The absolute value function always gives a positive result.

However the expression inside can be positive or negative, that is

2x - 7 = 1 or - (2x - 7) = 1

solving both

2x - 7 = 1 ( add 7 to both sides )

2x = 8 ( divide both sides by 2 )

x = 4

or

- (2x - 7) = 1 ← distribute left side

- 2x + 7 = 1 ( subtract 7 from both sides )

- 2x = - 6 ( divide both sides by - 2 )

x = 3

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

x = 4 : | 8 - 7 | = | 1 | = 1 = right side

x = 3 : | 6 - 7 | = | - 1 | = 1 = right side

Then x = 3, x = 4 are the solutions

find the degree of the monomial -3q^4rs^6

Answers

Answer:

11

Step-by-step explanation:

q^4=4

r=1

s^6=6

4+1+6=11

find 24+3-(2×8)÷3
a. Zero
b. 1.37
c. 13.7
d. 1​

Answers

Wow i’ve never seen anything like this. C

A baggage check service charges $4 for the first hour and $1 for each additional hour or fraction of an hour. Which point is NOT included in the graph of this step function?

A. (6.9, 10)
B. (6.1, 10)
C. (6.0, 10)
D. (5.9, 9)

Answers

Answer:

a

Step-by-step explanation:

Answer:

I think it's

Step-by-step explanation:

It might be a because (6.9, 10) is not a graph included.

Please help me solve this problem.

Answers

The answer is D)6x-7

PLEASE PLEASE PLEASE ANSWER> I NEED HELP IN LIKE THE NEXT 10 MINUTES

Answers

the answer is 14, how this helps have a great day!

Answer:

[tex] A(\triangle ABC) = 7.2\: units^2 [/tex]

Step-by-step explanation:

C = (0, 7)

Since, point A lies in y-axis, so it's x coordinate will be zero. Line y = 2x + 1 passes through point A.

Therefore, plug x = 0 in y = 2x +1, we find:

y = 2*0 + 1 = 0 + 1 = 1

Hence, coordinates of point A are (0, 1).

Now, by distance formula:

[tex] AC= \sqrt{(0-0)^2 +(7-1)^2} [/tex]

[tex] AC= \sqrt{(0)^2 +(6)^2 }[/tex]

[tex] AC= \sqrt{0 +36 }[/tex]

[tex] AC= \sqrt{36 }[/tex]

[tex] AC= 6\: units[/tex]

Length of perpendicular CB dropped from point C (0, 7) to line y = 2x + 1 or 2x - y + 1 = 0 can be obtained as given below:

[tex] CB =\frac{|2\times 0+(-1)\times 7+1|}{\sqrt {2^2 +(-1)^2} } [/tex]

[tex] CB =\frac{|0-7+1|}{\sqrt {4 +1} } [/tex]

[tex] CB =\frac{|-6|}{\sqrt {5} } [/tex]

[tex] CB =\frac{6}{2.24} [/tex]

[tex] CB =2.68\: units [/tex]

By Pythagoras Theorem:

[tex] AB=\sqrt{AC^2 - CB^2} [/tex]

[tex] AB=\sqrt{6^2 - (2.68)^2} [/tex]

[tex] AB=\sqrt{36 - 7.18} [/tex]

[tex] AB=\sqrt{28.82} [/tex]

[tex] AB=5.36842621\: units [/tex]

[tex] AB\approx 5.37\: units [/tex]

[tex] A(\triangle ABC) = \frac{1}{2} \times AB\times CB[/tex]

[tex] A(\triangle ABC) = \frac{1}{2} \times 5.37\times 2.68[/tex]

[tex] A(\triangle ABC) = \frac{1}{2} \times 14.3916[/tex]

[tex] A(\triangle ABC) = 7.1958[/tex]

[tex] A(\triangle ABC) = 7.2\: units^2 [/tex]

An integer is chosen random between 1 to 100. find the probability that it is divisible by 8​

Answers

Answer: 0.12

x is the number which is chosen

The number of ways to choose x from 1 to 100 is 100 (ways)

because x  is divisible by 8​ => x ∈ {8; 16;...; 96}

=>  the number of terms divisible by 8 from 1 to 100 is (96 - 8)/8 + 1 = 12

the number of ways to choose x which is divisible by 8​ is 12 (ways)

=>  the probability that x is divisible by 8​ is 12/100 = 0.12

Step-by-step explanation:

The probability of the event is 12/100 or 0.12

pls help me with this equation!!!!!!!!!!!!!

Answers

the answer to this equation is 45

Answer:

The missing angle is 65°

Step-by-step explanation:

For context, all triangles' angles will always add up to 180°. The outside angle of S is supplementary to the inside angle, so in order to find S:

180 - 153 = 27°

<TSU = 27°

S = 27°

U = 88°

As mentioned before, angles of triangles will add up to 180. In order to find the missing angle (?) we will add the other two sides and subtract them from 180.

27 + 88 = 115

180 - 115 = 65°

Which of the following statements are true?


Please help..

Answers

Answer:

The answer is C

Joe ordered some books online and spent a total of $75 . Each book cost $6 and he paid a total of $3 for shipping . How many books did he buy ?

Answers

12 books

(75-3)= 72
72/6=12 book

Two students are using estimation to determine reasonable solutions to the expression 89.1 times 9.3. Katie uses the expression 90 times 10. Amaya uses the expression 89 times 9. Which is the best comparison of the estimates and the actual product?

Answers

Amaya’s because she rounded to the nearest tenth correctly if the number behind the decimal had been 5 or above Katie would be right but because the number is 4 or below you round down therefore 89.1 would be 89 and 9.3 would be 9

pls pls help with this. extra points. why would i use factoring to solve this quadratic equation?

Answers

Answer: x =  

-1/6 -2

explanation:

I looked it up on Math

way

Answer: x=-2 x=-1/6

Step-by-step explanation: you can use factoring to solve this becuase it is factorable to real numbers. You would want to use quadratic formula is there is an imaginary number or square roots.

(6x+1)(x+2)=0

set them both equal to zero and solve, foil your answer

Can someone help me solve this really quick please?

Answers

Answer:

C- 4f less than or equal to 36

Step-by-step explanation:

The fish are 4 dollars each so how many fish you buy, you will multiply 4. Example- I will buy 5 fish so 5×4=20.

You can only spend less than 36 or you can spend exactly 36 dollars.

In my example I spent less than 36 dollars. I don't know if you understand but tell me if you need help.

Pleaseee helppp answer correctly !!!!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

x=4 because 3x4=12-4=8

Please, I need your help! Can someone answer this immediately!

Answers

Answer:

true false false true

Step-by-step explanation:

what is 4/12 + 1/12 + 3/12

Answers

Answer:

8/12

Step-by-step explanation:

Select all please!:)

Answers

Answer:

d

Step-by-step explanation:

Answer:

the second one and the last one

Step-by-step explanation:

What is the slope of the following line? I need help asap

Answers

Answer:

-4/3

Step-by-step explanation:

it says to find the slope you do y2 - y1 / x2 - x1.

From the points, you have x1 = -3, x2 = 0, y1 = 3, y2 = -1.

Plug those in:

-1 - 3 / 0 - (-3) = -4 / 3 = -4/3

Answer:

-1-3/0-(-3)= -4/3

Step-by-step explanation:

since m=y2-y1/x2-x1 the equation would be -1-3/0-(-3) which equals to -4/0+3 which equals -4/3. since it's slope you do not simplify.

20. Mr. Reed bought tickets for 7 teachers
to attend a concert. He paid a total of
$245 for the tickets. If each ticket
cost the same amount, how much
did Mr. Reed pay for each ticket?
A $24.50
B $25.00
C $32.00
D $35.00

Answers

245/7 = $35.00, so the answer would be D

What is the average price of an item sold considering quantity? 12 notepads at $4.20 25 folders at $0.80 3 calculators at $19.00

Answers

Answer:

Average price = $3.185

Step-by-step explanation:

Given:

12 notepads = $4.20 each

25 folders = $0.80 each

3 calculators =  $19.00 each

Find:

Average price

Computation:

Average price = Total cost / Total number of item

Average price = [(12)(4.20) + (25)(0.80) + (3)(19)] / [12 + 25 + 3]

Average price = [(50.4) + (20) + (57)] / [40]

Average price = [127.4] / [40]

Average price = $3.185


5. Which of the following systems of linear inequalities is represented on the graph
below?

Answers

yuhhh DISSKSNSLSKSKSKSKSSKSKSKNSSNSKENEKENEENDKDKDMDDJ i need points
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