4. Ms. Bragg is giving a test worth 100 points. The test contains a total of 40 questions. Some questions are worth 2 points and some questions are worth 4 points on the test. Write a system of equations to determine how many of each type of question are on the test. A) Define your variables. You can use any letters you want) B) Write your system of equations. (There should be 2 separate equations)​

Answers

Answer 1

9514 1404 393

Explanation:

A)

Let t and f represent the numbers of two-point and four-point questions, respectively.

__

B) The number of points for each type of question is the product of the point-value per question and the number of questions of that type.

  2t + 4f = 100 . . . . . the test is worth 100 points

  t + f = 40 . . . . . . . . there are 40 questions on the test

_____

Additional comment

The test will have 30 two-point questions and 10 four-point questions.


Related Questions

Travel agents collected data from recent travelers about their modes of transportation for their vacations, They found that 37% traveled by airplane, 8% traveled by train, and 7% traveled by airplane and train. Let A be the event that the mode of travel was airplane and let T be the event that the mode of travel was train.​

Answers

Using Venn probabilities, it is found that the probability is [tex]P(A \cap T^{c}) = 0.3[/tex]

In this problem, the events are:

Event A: Traveled by airplane.Event T: Traveled by train.Event [tex]T^{c}[/tex]: Did not travel by train.

The desired probability is:

[tex]P(A \cap T^{c}) = P(A) + P(T^{c}) - P(A \cup T^{c})[/tex]

The probabilities are:

37% traveled by airplane, hence [tex]P(A) = 0.37[/tex]8% traveled by train, hence [tex]P(T^c) = 1 - 0.08 = 0.92[/tex]37% traveled by airplane, 62%(100 - [37 + 8 - 7]) did not travel, hence [tex]P(A \cup T^c) = 0.37 + 0.62 = 0.99[/tex]

Then:

[tex]P(A \cap T^{c}) = P(A) + P(T^{c}) - P(A \cup T^{c})[/tex]

[tex]P(A \cap T^{c}) = 0.37 + 0.92 - 0.99[/tex]

[tex]P(A \cap T^{c}) = 0.3[/tex]

A similar problem is given at https://brainly.com/question/24707032

Answer:

B: .30

Step-by-step explanation:

edg 2021

which sets does -8/9 belong to

Answers

Answer:

all of the above

Step-by-step explanation:

The rabbit will never go over 75 pounds. If this rabbit is bom in July weighing 2 pounds, in which month will it weigh around 46 pounds?

Answers

The answer is June your welcome

Three classes at a junior high school raised money to buy new computers

Answers

Answer:

3x+0

Step-by-step explanation:

I’m so confused, can someone help me? I’ll give brainlist

Answers

Answer:

16

Step-by-step explanation:

the square root of 16 is 4. (4x itself is 16)

out of the options, that is the only one that has a whole number as the square root.

16 square root is the only rational number. brainliest? i need 3 more to move up to Ace

HI is number 12 correct?

Answers

Answer: there nothing there
Proof

Ignore the numbers
Help me how do I do this questionnnnn

Answers

Answer: No, they don't have enough money.

==========================================================

Explanation:

Let's find the area of the shape given. It's composed of two rectangles.

larger rectangle area = 8*9 = 72 sq meterssmaller rectangle area = 6*7 = 42 sq meters

The two rectangle areas add to 72+42 = 114 sq meters. This is the total floor area.

---------------------

Let x be the number of tins of polish the caretaker buys.

One tin covers 12 m^2 of floor area. Buying x of them covers 12x square meters of space. We need to cover 114 square meters.

Solving 12x = 114 leads to x = 9.5 when you divide both sides by 12.

Since the caretake cannot buy half a tin, we must round up to the nearest whole number. This means s/he must buy 10 containers of polish.

---------------------

Each bottle of polish costs £19

Ten of them cost 10*19 = 190 pounds. This is before the discount.

If you save 30%, then you save 0.30*190 = 57 pounds and the final price is 190-57 = 133 pounds.

Or put another way: if you save 30%, then you pay the remaining 70% and that final price is 0.70*190 = 133 pounds.

This final price is 3 more pounds than what the caretaker has, so they don't have enough money.

(27×3^-2)(8×2^-3)

(27×3^-2)(8×2^-3)

(27×3^-2)(8×2^-3)

(27×3^-2)(8×2^-3)

Answers

Answer:

(27×3^-2)(8×2^-3) = 3

Step-by-step explanation:

(27×3^-2)(8×2^-3) = 3 or 3/1


First, we do PEMDAS (Please Excuse My Dear Aunt Sally)

↳ (27×3^-2)

↳ 27×1/9=3


Second, do the other one in parentheses because of PEMDAS

↳ (8×2^-3)
↳ 8×1/8=1


—————

Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle

—————

through: (1, 3) and (-3,-5)

Answers

☆Answer : (X1, Y1) = (1, 3) (X2, Y2) = (-3, -5)

m = (Y2 - Y1)/(X2 - X1)

m = (-5 - 3)/(-3 - 1)

m = -8/-4

m = 2

If g(x)=5|30x+4|, find g(2/3)​

Answers

Answer:

Step-by-step explanation:

g(x)=5|30x+4|

g(2/3)=5|30×2/3+4|

=5|20+4|

=5×24

=120

-5x+35=40

what are the steps?​

Answers

Answer:

Step-by-step explanation:

-5x + 35 = 40

Subract 35 from both sides -5x + 35 - 35 = 40 - 35  = (-5x = 5)

Divide -5 from both sides -5x / -5 = 5 / -5 =

x = -1

Answer:

x= -1

Step-by-step explanation:

First subtract 35 from both sides to get -5x by itself:

-5x+35=40

-35       -35

-5x=5

Then divide by -5:

[tex]\frac{-5x}{-5}[/tex] = [tex]\frac{5}{-5}[/tex]

x=-1

Hope this helps! :)

Wind forms dunes through ___.

A. evaporation
B. deposition
C. sublimation
D. condensation

Answers

Answer: I think it would have to be c) Sublimation

4. How long would it take sound waves traveling through air that is 68°F to
travel 1,372 meters? Use an equation to solve the problem.

Answers

Answer:

2.7 seconds

Step-by-step explanation:

[] Temp of air: 68°F -> 20°C

[] Velocity of sound in air:

[tex]v=331.3\sqrt{1+\frac{T}{273.15} }[/tex]

[tex]v=331.3\sqrt{1+\frac{68}{273.15} }[/tex]

v ≈ 370.25 m/s

[] Last,

t = [tex]\frac{d}{v}[/tex]

t = [tex]\frac{1,372}{370.25}[/tex]

t ≈ 3.7056 ≈ 2.7 seconds

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Please can someone show me their working on these, as I'd really like to know where I went wrong.

Answers

Answer:

C

Step-by-step explanation:

You were on the right track, but 3-2 = 1, so the exponent of (x-4) is 1.

Answer:

C and B

Step-by-step explanation:

(6)

[tex]\frac{(x-4)^3(3x+6)}{(x-4)^2}[/tex]

Cancel (x - 4)³ on numerator with (x - 4)² on denominator

leaving (x - 4) on numerator and 1 on denominator

= (x - 4)(3x + 6) → C

--------------------------------------------------

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then

4a² × 7[tex]a^{\frac{1}{2} }[/tex]

= 4 × 7 × a² × [tex]a^{\frac{1}{2} }[/tex]

= 28 × [tex]a^{\frac{4}{2} }[/tex] × [tex]a^{\frac{1}{2} }[/tex]

= 28 × [tex]a^{(\frac{4}{2}+\frac{1}{2}) }[/tex]

= 28[tex]a^{\frac{5}{2} }[/tex] → B

the formula used to convert temperature from celsius to Fahrenheit is ___ find the formula that you can convert fahrenheit to celeries by solving C

Answers

Answer:

Celsius and Fahrenheit are two important temperature scales that are commonly misspelled as Celcius and Farenheit. The formula to find a Celsius temperature from Fahrenheit is: °F = (°C × 9/5) + 32 The formula to find a Fahrenheit temperature from Celsius is: °F = (°C × 9/5) + 32 The two temperature scales are equal at -40°.

Step-by-step explanation:

PA BRAINLIEST

A rhombus that is also a rectangle

Which statement best explains if the graph correctly represents the proportional relationship y = −2x? A coordinate plane is shown. Points are graphed at negative 2 and 4 and negative 1 and 2. The points are joined by a line. It does not, the points shown would not be part of y = −2x. It does not, proportions cannot be represented on a graph. It does, all proportions can be shown on a graph of this line. It does, the points shown on the line would be part of y = −2x.

Answers

Answer:

d. It does, the points shown on the line would be part of y = −2x.

is the answer let me know if this helped

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

hope i helped

There are 14 girls and 15 boys in a sixth grade math class. What is the ratio of girls to total students?​

Answers

I would say 14:15 it’s the only things that makes sense and this ratio can’t further be reduced

What is 50% of 35 like simplified

Answers

Answer:

It can't get more simple than that (*nose growing*)

Step-by-step explanation:

50% of 35 means 35 is 100% right? 50 is half of 100. So 50% of 35 will be half of 35, agree? So you multiply by crossing

35 = 100%

x = 50%

100 * x = 35 * 50 (do this math, you can multiply 35 by 5 then add 0)

100x = 1750

x = 1750 / 100

x = 17,5

Is 17,5 half of 35? You could have also done 35 / 2. It would be the same result because 50% is an easy percentage to work with.

BETWEEN WHAT TWO INTEGERS IS THE SECOND ZERO?

Answers

Answer:

between 2 and 3

Step-by-step explanation:

see how it crosses the x axis a little after 2, so it's between 2 and 3

HEY IF YOURE SEEING THIS IM IN DIRE NEED OF YOU SOLVING NUMBER 4!!

Answers

Answer:

(1, -3) (2, -1) (3, 1)

Step-by-step explanation:

if seconds=x and degrees celsius=y, the points are (1, -3) (2, -1) (3, 1). to graph, plot the points on a graph. (ordered pairs are written as x,y)

Arrange the following fractions in ascending order 2/3 3/5 5/6

Answers

Answer:

Greatest to Least

5/6 > 2/3 > 3/5

Least to Greatest

3/5 < 2/3 < 5/6

18.which the venn diagram illutrates A-B?​

Answers

Answer:

Option B is correct answer

Determine whether the quadratic function shown below has a minimum or maximum, then determine the minimum or maximum value of the function.
f(x)=2(x−8) ^2−3

Answers

Answer:

It's a minimum, at (8, -3)

Step-by-step explanation:

Option 1: you unwrap the square , add like terms, and then recognize it's a parabola and find the coordinates of the vertex.

Or look at it as -3 + something ^2. It means you are adding something positive to -3, so the sum is greater or equal to -3, that is the definition of a minimum. At that point you find the minimum by setting that something equal to 0 (which gives you x = 8) and the value is -3 + 0 = -3

I need help please help me

Answers

Answer:

3/2

Step-by-step explanation: I hope that it helps

Answer:

He runs 1 1/2 miles per practice.

Explanation:

First, you need to find the slope. This can be done by finding two points on the graph. Then you count the distance between the two y-values, and then the distance between the two x-values. Then you create a fraction with the numerator being the distance of y-values and the denominator the distance of x-values. For example, I chose the points (4,8) and (2,5) The distance between those two is 3/2. This simplifies to 1 1/2. Therefore, the slope of the graph is 1 1/2.

Hope this helped and have a great day,

Ginny

Suppose Steve changed $250 into 200 Euros. How many Euros did he receive per US dollar?

Answers

Answer:

0.8 Euros

Step-by-step explanation:

Per US Dollar means its a proportion that the question is asking for. So, you can do 200/250 and get the answer.

Susie has read 52 pages of an 80- page book. What is the percentage of the pages that susie has not read?

Answers

Answer:

35%

Step-by-step explanation:

52/80=0.65

0.65x100=65

65% is the percent that she has read.

100%-65%= 35%

She has not read 35% of the pages.

Answer:

She hasn't read 35% of the book

Step-by-step explanation:

1st way: Since 80 pages represent 100%

52 pages represent 100 * 52 / 80 = 65% pages read

100 - 65 = 35 pages page not read.

2nd way: 80 - 52 = 28 pages not read

28 pages represent 100 * 28 / 80 = 35% pages not read

3|x + 7| + 6 = 18 How many solutions are there to the equation?

Answers

Answer:

There are two solutions.

Step-by-step explanation:

x = -3

x = -11

3x|x+7| +6 =18
Answer: 3x|x+7| = 18-6
3x|x+7|=12
|x+7|=4
x+7=4
x+7=-4
x=-3
x= -11
Solution or final answer:
x (put 1 under the x lower right of x)
x1 = -11, x2 = -3

1.2) Raflte tickets cost $6 for 5 tickets
How many tickets can you get for $90

Answers

15 tickets because 90 divide by 6 is 15
Answer:
One ticket is worth 1.2
90$ gets you 75 tickets
Step by step explanation:
T=ticket(s)
6=5t
6/5=t
90/(1.2)=75

What is the cardinal number of the set S={all letters contained within the word BALLADEER}?

Answers

Answer:

6

Step-by-step explanation:

sets cannot have repeated elements. So this set only has the letters B, A, L, D, E, R which means the cardinality is 6

Help please Its about functions

Answers

I only got the first one, but i hope this helped :/

Other Questions
An object with a mass of 90 grams, moving at a constant velocity of 6 meters per second, has __________. A. A momentum of 540 gram meters per second B. An acceleration of 10 meters per second squared C. A momentum of 90 gram meters per second D. An acceleration of 6 meters per second squared Please select the best answer from the choices provided. A B C D. How did Islam change when Muhammad went to yathrib? The teacher said, You are suspended!A. The teacher exclaimed that I am suspended.B. The teacher exclaimed to me to suspend.C. The teacher informed me that I was suspended.D. The teacher exclaimed that I was suspended. help help help help short paragraph with all punctuation marks ANswer with a good book/fanfic 100 J of work was done to lift a 10-N rock and set it at Position A near the edge of a cliff.1. If the 100 Joules of work lifted the rock to the top of the cliff, how much potential energy did the rock gain?2. At point C, the rock's potential energy will be3. The rock's kinetic energy at point A is4. At point B, some of the rock's potential energy will be changed to Kinetic energy5. What is the mass of the rock?6. What is the rock's velocity just before it hits the ground?The rock to the right is sitting at the top of a ramp. I wonder how much work it required to get that rock up there. In gymnastics, a gymnast must be able to balance on a balance beam. What is the best explanation for what forces are acting on the gymnast on a balance beam? (2 points)The forces are balanced when the force of gravity pulling you down is the same as the force of the balance beam pushing you up.The forces are unbalanced when the force of gravity pulling you down is the same as the force of your legs pushing you up.The forces are balanced when the force of gravity pulling you down is stronger than the force of the balance beam pushing you up.The forces are unbalanced when the force of gravity is reduced to the same force as the balance beam pushing you up. The linear distance traveled by a wheel of radius 50cm after 99 complete revolutions is?1)99m2)210m3)3114)433 HELLLLLLLLPPPPPPPPPPPPP ang ______ ay bahagi ng banghay ng maikling kwento na naglalahad o naglalarawan ng tauhan tagpuan o maaaring mailahad ang suliranina.panimulab.wakasc.pababang aksyond.kasukdulanPls i need answer You are in room A of a maze of twisty little passages, all alike. You can go east or south. Which direction would you like to go 8) Structures that regulate which molecules,nutrients, and substances enter the cell areA) GenesB) Endoplasmic ReticulumC) Cell MembranesD) Centrioles Assume the blood pressures of 10 people were measured before and after sleeping for the night. What is the corresponding critical t-value for a one-tailed, paired-samples t test with an alpha level of 0. 05 (5%). Please report your answer as an absolute value and include three decimal places. Theocracy's role in The Crucible was _____. one that led to mass hysteria to keep behavior in check or pay severe consequences to lead people to be protective of their reputation, even if it meant harm to others all of the above Propose an explanation for why the element carbon, rather than sodium, is important in forming natural polymers?I need this ASAP Help please?!?!? Ill mark blainlist exercise 2 after light excites electrons and they leave photosystem ii to travel down the first electron transport chain. how are these electrons replaced to photosytem ii What is a strength in the figure?(1 point)The figure shows structures in a cell.The figure shows the steps involved in DNA replication.The figure shows stem cell differentiation.The figure shows where mitosis occurs in the cell cycle. Ethanol (CHO) is combusted in air according to the following reaction: CHO(l) + O(g) CO(g) + HO(l) How many moles of water would be produced by the complete combustion of 44.5 grams of ethanol in the presence of excess oxygen?