A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 poir
points. If x is the number of 3-point questions and y is the number of 5-point questions, the system sho
represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
O The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
O The test contains 14 three-point questions and 10 five-point questions.
O The test contains 20 three-point questions and 8 five-point questions.

Answers

Answer 1

Answer:

    The test contains 10 three-point questions and 14 five-point questions.

Step-by-step explanation:

3x + 5y = 100, so:

x  - number of 3-point questions  

y - number of 5-point questions  

x + y = 24    ⇒  y = 24 - x

3x + 5y = 100

3x + 5(24-x) = 100

3x + 120 - 5x = 100

-2x = -20

  x = 10

y = 24 - 10 = 14


Related Questions

PLEASE HELP ASAP I BEG

Answers

I believe the answer for B is 1

Evaluate the expression. 42−3⋅4+7 Enter your answer in the box.

Answers

Answer:

23

Step-by-step explanation:

Here we will use BODMAS

42 - 3⋅4 + 7

42 - 12 + 7

42 - 19 = 23

Answer:

Answer is 11

Step-by-step explanation:

I took the quiz

Five red marbles, 3 green marbles, and 2 blue marbles are place in a jar. What is the probability of selecting a green marble and then a blue marble, given the first marble is not returned to the jar after it is drawn?

Answers

Answer:

30%

Step-by-step explanation:

Since its 10 marbles we can just add 1 zero to each number

5 marbles = 50%

3= 30%

2= 20%

Answer:

Step-by-step explanation:

P=3/5 ×1/6=1/10

this is the question is Estimate. 9.8 * 5.2 Choose 1 answer: a 5 b 50 c 500 d 5000

Answers

Answer: 50

Step-by-step explanation:

I am rounding it to 1 significant figure.

9.8 = 10 (round up when the last digit is 5, 6, 7, 8 or 9)

5.2 = 5 (round down when the last digit end with 0, 2, 3 or 4)

So it now is 10 x 5 = 50

Rounding to 1 significant figure, we get the product of 9.8 * 5.2 is 50. Thus, option B is correct.

What is rounding a number to some specific place?

Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.

Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.

Given product is 9.8 * 5.2

Now we are rounding it to 1 significant figure.

Round up when the last digit is 5, 6, 7, 8 or 9

9.8 = 10

Round down when the last digit end with 0, 2, 3 or 4

5.2 = 5

So, 10 x 5 = 50

Thus, option B is correct.

Learn more about rounding numbers  here:

https://brainly.com/question/1285054

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What is the length of the side opposite the 45degree angle

Answers

Answer:

In a 45 - 45 - 90 triangle, the legs are equal and the ratio of sides from shortest to longest is 1 : 1 : √2 where 1 are the legs and √2 is the hypotenuse. In this case the leg is 10 / √2 = 5√2.

A bug splatters on the windshield of a moving car. Describe the 1. Forces 2. Impulses 3. Momentum changes 4. And accelerations of both the bug and the car

Answers

Answer:

acceleration=force/mass

Due to variation in the mass[ as same force as per magnitude acts on both of them] the acceleration developed in the bug will be more and the acceleration developed in the car is negligible.

impulse=change in momentum

The impulse of bug is more and that of car is small.

momentum changes=change in momentum

force=change in momentum/time of contact

the force exerted by car on the bug will be more than the converse

Total. momentum is conserved , so magnitude of change in momemtum or impulse is same. By Newtons third law, since the bug have smaller mass, its change in magnitude of velocity is larger.

Step-by-step explanation:

WILL MARK BRAINLIEST!!! PLZ HELP!!!

Answers

Answer:

Choice C.

Step-by-step explanation:

There are students listening to music for 6.5 hours. So, the students will be in a range where the numbers on the x-axis go to 9.

According to the table, there are 11 students who listen to music for 0 to 3 hours. There are 3 students who listen to music for 3 to 6 hours. There is 1 student listening to music from 6 to 9 hours. This data matches up with the histogram from Choice C.

Hope this helps!

Expand the following:
a) 3(x + 5)
b) 4(x-4)
c) 2(5x + 1)
d) 7(x-9y)

Answers

Answer:

a. 3x+15b. 4x-16c. 10x+2D. 7x-63y

solution,

[tex]a. \: 3(x + 5) \\ \: \: = 3 \times x + 3 \times 5 \\ \: \: = 3x + 15[/tex]

[tex]b. \: 4(x - 4) \\ \: \: = 4 \times x - 4 \times 4 \\ \: \: = 4x - 16[/tex]

[tex]c. \: 2(5x + 1) \\ \: = 2 \times 5x + 2 \times 1 \\ \: \: = 10x + 2[/tex]

[tex]d . \: 7(x - 9y) \\ \: = 7 \times x - 7 \times 9y \\ \: \: = 7x - 63y[/tex]

Hope this helps..

Good luck on your assignment..

Answer:

a) 3(x + 5)  =

= 3x + 15

b) 4(x-4)  =

= 4x - 16

c) 2(5x + 1)  =

= 10x + 2

d) 7(x-9y) =

= 7x - 63y

Suriland cannot both export wheat and keep bread plentiful and affordable in Suriland. Accordingly, Suriland's wheat farmers are required to sell their crop to the government, which pays them a dollar per bushel less than the price on the world market. Therefore, if the farmers could sell their wheat on the world market, they would make a dollar per bushel more, less any additional transportation and brokerage costs they would have to pay.

Which of the following, if true, most seriously weakens the argument?

(A) Suriland's wheat farmers have higher production costs than do farmers in many other wheat-producing countries.
(B) Sale of a substantial proportion of Suriland's wheat crop on the world market would probably depress the price of wheat.
(C) The transportation and brokerage costs that Suriland's farmers would face if they sold their wheat outside Suriland could amount to almost a dollar per bushel.
(D) Suriland is surrounded by countries that do not import any wheat.
(E) The price of a bushel of wheat on the world market occasionally drops below the average cost of producing a bushel of wheat in Suriland.

Answers

Answer:

the most accurate argument is (C) The transportation and brokerage costs that Suriland's farmers would face if they sold their wheat outside Suriland could amount to almost a dollar per bushel.

Step-by-step explanation:

The cost of transportation and other logistics is being covered by the government that is why the government pay less than dollar per bushel.

so the price of the wheat would have to decrease at home so that the cost of the transportation can be covered by the government who are buying directly from the farmers.

A regular hexagon has a radius of 4 inches. What is the approximate area of the hexagon? a. 24 b. 42 c. 48 d. 84

Answers

Answer:

The approximate area of the hexagon is 42 in²

Now, the length of one side is 4 inches.

Answer:

B. 42 in.^2

Step-by-step explanation:

Just took the Unit Test on Edg (2020-2021)!!

Which of the following pairs of angles are supplementary? Select all that apply.

Answers

supplementary angles mean they equal 180 degrees which means any two angles that equal a line. so that would be:
<1 and <3
<1 and <4
<2 and <3
and <2 and <4

as all of these angles (in their respective pairs) create a single line which is equivalent to 180 degrees

The supplementary angles are:

<1 and <3

<1 and <4

<2 and <3

<2 and <4

what are supplementary angles?

Angles that add up to 180 degrees are referred to as supplementary angles. For instance, angle 130° and angle 50° are complementary angles since the sum of these two angles is 180°. The sum of complimentary angles is 90 degrees.

Given:

As, the supplement angles forms 180 angles.

So, from the angles that are supplementary are

<1 and <3

<1 and <4

<2 and <3

<2 and <4

Learn more about supplementary angles here:

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Pls help me thank you

The capacity of the container is 350 cm³. 50 marbles with the radius of 0.54 cm are put into the container. Find the volume of water needed to fill up the container.
[tex]use \: \pi = \frac{22}{7} [/tex]

Answers

Answer:

267.0075429 cm cubed.

Step-by-step explanation:

The formula for the volume of a sphere is 4/3 * pi * r^3. So, the volume of a single marble is...

4/3 * (22/7) * 0.54^3

= 88/21 * 0.157464

= 0.6598491429

Multiply that by 50 and you get 32.99245715 cm cubed.

The capacity is 350 cm cubed, so 350 - 32.99245715 = 267.0075429 cm cubed of water is needed to fill up the container.

I need the answer to C.

Answers

Answer:

The answer to c is an arc

Answer:

it's an arc of the circle.

Step-by-step explanation:

An arc of a circle is a "portion" of the circumference of the circle.

The mean of 3,x,14,11,13 is 10. find x

Answers

Answer : x=9
Explanation: (3+x+14+11+13)/5=10
(41+x)/5=10
41+x=10 x 50
41+x=50
x=50-41
x=9

Save a wretched life by answering a geometry question in the pic
A.)10 B.)14 C.)7 D.)17

Answers

oooooooooooooooooooooooooooooooo

HELP!!! WHAT IS WRONG WITH MY ANSWER?!

Answers

In a Fibonacci Sequence, the following applies:

1,1,2,3,5,8 etc.

Where the following term is a sum of the 2 previous terms.

Relate this to the terms in your question:

1, 1, 2, 5, 8

Goes to:

Y-x, x, y, x+y, x + 2y

Since to get y you add the 2 previous terms

y-x + x = y

y + x = y + x

x + y + y = x + 2y

Hope this helps you :)

You used multiplication of 2 terms which is where you went wrong.

factor out the greatest common factor. 6x^5-15x^2+12x=?

Answers

Answer:

Factor GCF: 3x(2x⁴ - 5x + 4)

Step-by-step explanation:

Simply take out the greatest variable first and then take out the GCF of the numbers to find out factored GCF.

Help!!!!! please!!!!!

Answers

Answer:

Step-by-step explanation:

r = 15 ft

h = 22 ft

Volume of cylinder = πr²h

                                = π * 15 * 15 * 22

                                = 4950π

                                = 4950 * 3.14

                               = 15543 cubic ft

A force of newtons is applied to a 20cm^2 surface. The force applied is then increased by f Newtons and the surface area is increased by 5cm^2. Complete the following sentence describing the outcome of the increases.

Answers

Answer:

The pressure decreased by 18%

Step-by-step explanation:

Given two scenarios:

Step 1: Find the initial pressure

Initial force = 90 Newtons

Initial surface force is applied on = 20 cm²

Initial pressure = initial force/initial surface

*Note: the SI unit for pressure is N/m²

We need to convert cm² to m²

1 cm² = 0.0001 m²

20 cm² = 0.002 m²

Initial pressure = 90/0.002 m²

Initial pressure = 45,000 N/m²

Step 2: find new pressure

New force = 90+5 = 95N

New area = 20+5 = 25 m² = 0.0025m²

New pressure = 95/0.0025 = 38,000

Step 3: find the outcome of the increases by calculating the % change in pressure

% change in pressure = (new pressure - initial pressure)/initial pressure × 100

Thus,

% change in pressure = (38,000 - 45,000)/38,000 × 100

= -7,000/38,000 × 100

= -18.42 ≈ -18%

The outcome of the increase resulted in a decrease in pressure. Thus,

The pressure decreased by 18%

Answer:

The pressure is decreased by 15.56%

Solve: 6(1-3) = 2(9-21)

Answers

Answer:-12=-24 FALSE

Step-by-step explanation:

6-18= -12

18-42= -24

The statement is false

<!> Brainliest is appreciated! <!>

[tex]\text{Solve:}\\\\6(1-3) = 2(9-21)\\\\\text{Use the distributive property}\\\\6-18 = 18-42\\\\-12=-24\\\\\text{This would make the equation False, since -12 doesn't equal -24}[/tex]

The function C (g) represents the cost to produce g gallons of chocolate chunk ice . Interpret the meaning of the statement C (765=164. It cost to produce gallons of chocolate chunk ice?​

Answers

Answer:

It cost $164 to produce 765 gallons of chocolate chunk ice

Step-by-step explanation:

The function C(g) represents the cost (C) to produce g gallons of chocolate chunk ice.

Given the statement:

C(765)=164

Comparing with C(g), we have that:

Cost, C = $164

Number of gallons of chocolate chunk ice. g=765

Therefore, the meaning of the given statement is:

It cost $164 to produce 765 gallons of chocolate chunk ice

Which inequality is represented by the accompanying graph?
Thank you!!!


Answers

Answer:

y<3

Step-by-step explanation:

It is  y<3 because all areas below y=3 are shaded.

In addition, the line y=3 is dotted, which means it is not part of the inequality (i.e. strict inequality).

If it had been a full line, then it would be y<=3.

PLEASE HELP!! will mark brainliest! Complete the point-slope equation of the line through (1,3) and (5,1). y-3=

Answers

Answer:

Step-by-step explanation:

(1-3)/(5-1)= -2/4 = -1/2

y - 3 = -1/2(x - 1)

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

y - 6/2 = -1/2x + 1/2

y = -1/2x + 7/2

please helllpppppp please hellepp​

Answers

Answer:

b

Step-by-step explanation:

A line sloping upwards from left to right has a positive gradient.

A line sloping downwards from left to right has a negative slope

If the line crosses the y- axis above the x- axis then y- intercept is positive.

If the line crosses the x- axis below the x- axis then y- intercept is negative.

The line shown slopes downwards from left to right, thus negative gradient

The line crosses the y- axis above the x- axis thus y- intercept is positive

Write an equation for the vertical translation y=-2/9 |x| -7; 1 units down

Answers

Answer:

y = -2/9 |X| - 8

Step-by-step explanation:

I'm not certain whether the -7 is part of the |X| or it's just out of the equation. But shifting an equation up or down is very intuitive.

If you want to move an equation up a certain unit, you just add that many units (positive) onto the end of an equation. The same goes for moving a unit down, where you subtract that many units you want to go down.

Answer:

y=-2/9 |x| -8

Step-by-step explanation:

y = f(x) + C  C < 0 moves it down

y=-2/9 |x| -7 Shift down 1 by subtracting 1

y=-2/9 |x| -7-1

y=-2/9 |x| -8

The planner needs a clearance of 9 feet under the arch. Has the planner met the minimum height?

Answers

Answer:

Yes,planner has met the minimum height, as minimum height was 9 feet and maximum height of arc is 9.6 feet

Step-by-step explanation:

The question is incomplete as all the details have not been given in the question.I have attached the complete question and its options at the bottom. Consult in for better understanding.

As we can see that at the mid value, for x=4, the value of f(x)=9.4

It means that the maximum height occurs at mid of the arc where it is height is 9.6 feet above the ground.

It means that the planner has met the minimum height, as minimum height was 9 feet and maximum height of arc is 9.6 feet

Answer:

B on Edge

Step-by-step explanation:

yes, because the width of the arch is 9.6 feet

HELPPP PLZZZZZZZZZ i will make Brainlynest

Answers

Answer:

(11, 3)

Step-by-step explanation:

(11,3) Is your answer

An infinite series is represented by:

Answers

the infinite numbers is represented by D.

Which expression is equivalent to
3x + (-7) – 23x - (-2)?

Answers

Answer:

-20x -5

Step-by-step explanation:

3x + (-7) – 23x - (-2)

Subtracting a negative is like adding

3x -7 -23x +2

Combine like terms

3x-23x   -7+2

-20x -5

Answer:

-20x - 5

Step-by-step explanation:

Simplify the expression

3x - 7 - 23x + 2

Combine like terms

-20x - 5

A. True

B. False

Plz answer




Answers

Answer:  

              TRUE

Step-by-step explanation:

≅ mens the triangles are congruent (the same arcs and the same sides in both). Basicaly it means they are the same exept its positon (can be mirrored or rotated)

So if ΔDEF is the same as ΔABC and the same as ΔMNO that maens ΔMNO must be the same as ΔABC

{ΔABC≅ΔDEF  and ΔDEF≅ΔMNO} ⇒ ΔABC≅ΔMNO

And if ΔMNO is the same as ΔABC and the same as ΔPQR that maens ΔPQR must be the same as ΔABC

{ΔABC≅ΔMNO and ΔMNO≅ΔPQR} ⇒ ΔABC≅ΔPQR

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