A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.

x + y = 24

3x + 5y = 100

What does the solution of this system indicate about the questions on the test?

The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
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:

We can substitute a definition of one of the variables by rearranging the first equation.

We set the first equation equal to one of our two variables.

[tex]y = 24 - x[/tex]

Now we substitute this equality into our second equation

[tex]3x + 5(24 - x) = 100[/tex]


Related Questions

What is the Evaluate the expresson for p = 4

9p = _____
I need help I'm new to this ;-;

Answers

The answer is 36

9p=___
9(4)=36

CAN SOMEONE DO THIS FOR ME I WOULD REALLY APPRECIATE IT

Answers

Answer:

ugh

Step-by-step explanation:

PLEASE HELP ME WITH QUESTIONS 1 AND 2! NO LINKS OR SPAMS!!! THANKS!!!!!!!!!​

Answers

Confused lol... can u give me more information

Adult tickets to the aquarium cost $16
each. If the aquarium marks the ticket
price up 20%, how much will a group of
5 eduils pay for tickets?

Answers

Answer:

96 dollars

Step-by-step explanation:

multiply 16 by 20% and get 3.2 so u add that with 16 and then multiply that by 5

What is the answer to this question?:

17a - 2a + 5 - 2

Answers

Answer: 15+3

Step-by-step explanation:

The circus admits children for $2 each and adults for $5 each. How many of each ticket were sold if 160 total tickets were sold for $476? Please I need an answer ASAP

Answers

Answer:

adults = 52

children = 108

Step-by-step explanation:

two equations can be derived from the question

x + y = 160 equation 1

2x + 5y = 476   equation 2

x = number of children

y = number of adults

multiply equation 1 by 2

2x + 2y = 320  equation 3

subtract equation 1 from 2

3y = 156

y =52

substitute for y in equation 1

x + 52 = 108

x = 160 - 52 = 108

A quality control inspector tested 235 CDs and found 8 defective
What is the relative frequency of finding a defective CD?

Answers

Answer:

235 C D s =

8 =

Step-by-step explanation:

Find U of trapezoid TUVS

Answers

Answer:

∠U=103°

∠V=77°

∠T=103°

∠S= 77°

Step-by-step explanation:

:)

Solve for x:

Plzzzzzzzzzz

Answers

Answer:

1: x=18   2: x=7   3: x=12

Step-by-step explanation:

1:  7x+3=9x-33

    2x=36

     x=18

2:  16x+(6x=26)=180

     22x=154

      x=7

3:  (10x-17)-(2x-3)=90

     8x-14=104

      x=12

Answer and Step-by-step explanation:

1.

7x + 3 = 9x - 33

Subtract 7x from both sides, and add 33 to both sides of the equation.

36 = 2x

Divide both sides by 2.

x = 18

2.

6x + 26 + 16x = 180

Combine like terms.

22x + 26 = 180

Subtract 26 from both sides of the equation.

22x = 154

Divide 22 from both sides of the equation.

x = 7

3.

90 + 2x - 3 = 10x - 17

Add 17 to both sides of the equation, subtract 2x from both sides of the equation and combine like terms.

104 = 8x

Divide 8 from both sides of the equation.

x = 13

#teamtrees #PAW (Plant And Water)

Ruby started off her savings account with $100, and $0 in her checking account. She made $95 washing dishes and deposited it into her checking account. She bought a soda for $2 and then transferred $50 into her savings account. How much money is in each account now?

(Note: when you make purchases, like buying a soda, it comes out of your checking account)

A. She has $100 in savings and $95 in checking
B. She has $143 in her savings account and $50 in checking
C. She has $150 in savings and $43 in checking
D. She has $193 in savings and $0 in checking

Answers

Answer:

150+93=241

Step-by-step explanation:

I'm not sure if this is correct but i guess because she got 95 and deposited it into her checking she has 95 and judging on if she spent 2 dollars from her savings or checking i assumed it was savings which leaves it with 148 from 100 after depositing 50 - 2 = 148 so basically

edit: nvm i saw the note now im sure but something i dont understand is that if she made 95 how come the answer choices dont say 93 in checking so im guessing you meant 150+43=193

193 is your answer sorry lol took me a while to work this out or Answer choice C

Choose the statement that best describes the error in finding the volume of the solid.

Answers

Answer:

the formula used gives surface area instead of volume

Marking brainliest


What is your favorite form of getting exercise?

Answers

Answer: Playing sports!!


what is the value of x WILL GIVE BRAINLIEST ANSWER

Answers

Answer:

x = 116°

Step-by-step explanation:

number of degrees in a pentagon is (5-2)180° = 540°

x + 121 + 90 + 115 + 98 = 540

x + 424 = 540

x = 116°

NEED IT ASAP
Find the missing side.
3 is A^2
5 is B^2

what is the missing side ​

Answers

Answer:

5.83

Step-by-step explanation:

Use the Pythagorean theorem:

3^2+5^2 = c^2

34 = c^2

sqrt34 = c

5.83 = c

5.83

A^2+B^2=c^2
9+25=34
34=C^2
^2/34
=5.83


Solve for X ...........

Answers

Answer:

x = 46

Step-by-step explanation:

Given 2 secants from an external point to the circle, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

2(2 + x) = 6(6 + 10)

2(2 + x) = 6 × 16 = 96 ( divide both sides by 2 )

2 + x = 48 ( subtract 2 from both sides )

x = 46

I WILL CROWN YOU BRAINLYIST HELP
A truck delivers 14,000 pounds of gravel.

How many tons are in 14,000 pounds?

Answers

Answer:

7000

Step-by-step explanation:

Thus the truck delivers 7 tons of gravel.

What is a unit conversion?

"A unit conversion expresses the same property as a different unit of measurement. A conversion factor is a ratio that expresses how many of one unit is equal to another unit".

For the above situation,

A truck delivers 14,000 pounds of gravel.

We know that,

1 US ton = 2000 pounds

Thus, 14000 pounds = [tex]\frac{14000}{2000}[/tex]

⇒ [tex]7 tons[/tex]

Hence we can conclude that the truck delivers 7 tons of gravel.

Learn more about unit conversions here

https://brainly.com/question/20950399

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In the figure below, ACDE is similar to AFGH.
D
G
11
8
C
5 E
2X+4
F
H
If the perimeter of AFGH is 48 units, find the value of x.

Answers

Answer:

6

Step-by-step explanation:

[tex]1)\ P_1 = 11 + 8 + 5 = 24\ units[/tex]

[tex]2)\ 2x + 4 + y +z = 48[/tex]

[tex]3)\ \frac{48}{24} = 2 => 2x+4 = 2*8[/tex]

[tex]4)\ 2x+4 = 2*8 => 2x + 4 = 16 => 2x = 12 => x = 6[/tex]

Answer:

6

Step-by-step explanation:

[tex] \triangle CDE \sim \triangle FGH[/tex]

[tex] \frac{P(\triangle CDE) }{P(\triangle FGH)} =\frac{CD}{GH} [/tex]

(Area of similar triangle theorem)

[tex] \frac{11+8+5}{48} =\frac{8}{2x +4} [/tex]

[tex] \frac{24}{48} =\frac{8}{2x +4} [/tex]

[tex] \frac{1}{2} =\frac{8}{2x +4} [/tex]

[tex] 2x + 4 = 2\times 8[/tex]

[tex] 2x + 4 =16[/tex]

[tex] 2x =16-4[/tex]

[tex] 2x =12[/tex]

[tex] x =\frac{12}{2} [/tex]

[tex] x = 6 [/tex]

A rectangular room is 7 times as long as it's wide and it's perimeter is 64metres. Find the dimension of the room.

Answers

Answer:

Length = 28 meters Width = 4 meters

Step-by-step explanation:

Assume the width of the rectangle is x. That means that the length of the rectangle is 7x which is 7 times as long as it is wide.

Perimeter of a rectangle:

= Length + length  + Width + Width

Therefore:

7x + 7x + x + x = 64

16x = 64

x = 64/16

x = 4 meters

Length is 7 times as long:

= 4 * 7

= 28 meters

The graph shows the line y= -3x - 6.
Complete the table so it includes two solutions to the equation.

Answers

Answer:

0 | -6

____

3 | -15

Step-by-step explanation:

just plug in the numbers they give u in the chart

when x = 0 -> y = -3*0-6 = -6

when y = -15 -> -15 = -3x-6 -> x = 3

The graph of the line y = -3x -6 is giving the solution (0,-6) and (3,-15).

What is an equation of a line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The given equation of the line is y = -3x - 6. the two points on the graph are satisfying the equation.

x = 0 , y = -3 x 0-6 = -6

y = -15 -> -15 = -3 x-6 -> x = 3

Therefore, the graph of the line y = -3x -6 is giving the solution (0,-6) and (3,-15).

To know more about an equation of the line follow

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A 14-foot ladder is leaned against a wall. If the base of the ladder is 6 feet from the wall, how high up the wall will the ladder reach?

Round to the nearest tenth if needed.

Answers

Answer:

23

Step-by-step explanation:

Tobin finds satellite images of a factory and an athletic stadium. She puts the images on a coordinate grid (shown
below).
(khan academy)

Answers

Answer:

The area of the factory is about 3000 m more than the area of the stadium

Step-by-step explanation:

The area of the factory can be said to be 3000m² more than the area of the stadium.

How to solve for the area of the factory

The area of the factory is given as S1

S1 = √80² + 200² * √40² + 100²

= √6400+40000 * √1600 * 10000

=√46400 * √11600

= 23200m²

How to solve for the area of the stadium

S2 = 80² * 3.14

= 20096

The difference in areas = S1 - S2

= 3000m²

Read more on area here:

https://brainly.com/question/25292087

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what is 4,000,000 + 800,00 + 10,000 + 2,000 + 400 + 80 + 9 in standard form?

please help asap​

Answers

Answer:

4,812,489

Step-by-step explanation:

Answer:

408,12,489

Step-by-step explanation:

hope it helped you

can anyone help please? I’ll give brainliest !

Answers

Answer:

I think he has $9800 left to pay off

Step-by-step explanation:

multiply the tuition(10350)by 2. Then subtract 1/3 of that (6900) by the price (20700) thensubtract the $4000 he gets from his job

What values of b satisfy 3(2b + 3)2 = 36?

Answers

The third answer choice is your answer b=3/2 and -9/2

Find the surface area of the triangular prism shown below. 5ft 5ft 3ft 7ft 8ft .

Answers

Answer:

30ft

Step-by-step explanation:

The segments shown below could form a triangle.
help please :)

Answers

That’s false because two lines are to short so it’s false

Answer:

The answer is false! :)

What is the value of X in the equation x²-6x+9=25

Answers

Answer:

X = -2 or X = 8

Explanation:

If two sides in a triangle are congruent, the angles opposite the congruent sides are congruent angles.

True or False

Please make an answer and give brainliest and more points to 100 need it please!
Thank you

Answers

Answer:

True

Step-by-step explanation:

Two triangles are congruent if they satisfy any of the following:

Two sides and the included angle of one triangle equal to the corresponding parts of the other one.

Two angles and the included side of one triangle equal to the corresponding parts of the other one.

All three sides of one triangle equal to the corresponding parts of the other one.

They are right triangles, and hypotenuse and one leg of one triangle equal to the corresponding parts of the other one.

They are right triangles, and hypotenuse and one acute angle of one triangle equal to the corresponding parts of the other one.

Therefore, the answer is true.

Nice Question

Answer To It is True

Reason:- According To Isosceles Triangle Theorem:-

If two angles of a triangle are congruent, then sides opposite those angles are congruent.

Hope This Helps You ❤️

These box plots show the number of electoral votes won by Democratic and


Republican presidential candidates for the elections from 1984 through 2012


Republican


159


170


525


Democratic


299


3675


0


50


100


150


400


450


500


550


200 250 300 350


Electoral votes


Which statement best compares the spreads of the data sets?

Answers

Answer:

(a) is true

Step-by-step explanation:

Given

See attachment for box plots

Required

Which of the options is true?

Option A compares the IQR of both plots.

IQR is calculated using:

[tex]IQR = Q_3 - Q_1[/tex]

Where

[tex]Q_1 \to[/tex] Lower quartile

[tex]Q_2 \to[/tex] Upper quartile

From the attached plots, we have:

Republican

[tex]Q_1 = 170.5[/tex]

[tex]Q_3 = 356[/tex]

So:

[tex]IQR = 356 - 170.5[/tex]

[tex]IQR = 185.5[/tex]

Democratic

[tex]Q_1 = 181[/tex]

[tex]Q_3 = 367.5[/tex]

So:

[tex]IQR = 367.5 - 181[/tex]

[tex]IQR = 186.5[/tex]

We have:

[tex]IQR = 185.5[/tex] --- Republican

[tex]IQR = 186.5[/tex] --- Democratic

Hence, (a) is true

HELP ASAP (Brainliest)

What is the area of this figure?


Enter your answer in the box.

Answers

answer:
532 m

step-by-step explanation:
break the figure into 3 different shapes
first one is the square at the top
L • W = A
18 • 18 = 324
the next is the triangle below it
hbb/2 = A
18b16/2 = A
144
the last is the last triangle
hbb/2 = A
8b16/2 = A
64
add them together
324 + 144 + 64
532 m
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