A teacher is making a history test composed of the same number of multiple-choice questions as short-answer questions. She estimates it will take students an average of 2 minutes to complete each multiple-choice question and an average of 3.5 minutes to complete each short-answer question.
Write an inequality to determine how many questions, n, the teacher can include if the test must take students less than 45 minutes to complete.
Answer:
8 questions each for short answer questions and 8 questions of Multiple Choice Questions type.
A total of 16 questions.
Step-by-step explanation:
The number of multiple-choice questions and the number of short answer type questions are the same.
Let it be equal to [tex]x[/tex]
→Average time it takes to attempt multiple choice question = 2 minutes
→Total time it takes to attempt multiple choice question = [tex]2 * x[/tex] minutes
→Average time it takes to attempt short answer type question = 3.5 minutes
→Total Time it takes to attempt short answer type question = [tex]3.5 * x[/tex] minutes
Total time for the test should be less than 45 minutes.
Now finally, we can make an equation out of the information listed above:
[tex]2x +3.5x <45[/tex]
[tex]\\ 5.5x <45[/tex]
[tex]x < 8.18[/tex]
Hence the value of [tex]x = 8[/tex]
Find the value of cos F rounded to the nearest hundredth, if necessary.
Answer:
(x-2)²=9
sqrt both sides
don't forget positive and negative roots
x-2=+/-3
well, she is partially correct
x-2=3 is one answer
she didn't remember the other one the x-2=-3
Step-by-step explanation:
(x-2)²=9
sqrt both sides
don't forget positive and negative roots
x-2=+/-3
well, she is partially correct
x-2=3 is one answer
she didn't remember the other one the x-2=-3
Here’s the question!!!
Answer:
The answer is 3/4 because 2/4 + 1/4 = 3/4.
What is 50% of 50% of 50%
Step 1:
50%= 50/100 = 0.5
Step 2:
50% of 50%= (50×0.5)/100= 0.25
Step 3:
50% of 50% of 50% = (50×0.25)/100= 0.125
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Karen and Lawrence are heading out on a group scuba trip. They each bring air tanks for their dives. Karen brought x amount of air tanks, and Lawrence brought 3x . If Lawrence brought 18 tanks, how many did Karen bring?
Answer:
6
Step-by-step explanation:
[tex]3x = 18[/tex]
[tex] \frac{3x}{3} = \frac{18}{3} [/tex]
[tex]x = 6[/tex]
Part 3 Last part Jim Homework Algebra
Answers:
11. D) There appears to be an association between the variables. Since the teams with animal mascots win 74% of their games played and those with another type of mascot only win 49% of their games, the large difference suggests an association.12. A) 913. D) There appears to be an association. Since there is a difference in percentages for modern and classical styles for the type of art.14. D) 59%15. A) 60%=================================================
Explanations:
11. If the columns were identical (or nearly so) then that would suggest there isn't any association. However, the columns are different so it's likely we have association going on. Changing the mascot type appears to have an effect on whether the team wins or loses. In other words, the variables appear to be dependent.12. Let x be the missing value in the table. Solve the proportion x/18 = 27/54 and you should get x = 9. If 9 goes in that table, then it will produce identical row relative frequencies (and identical column relative frequencies as well) which would then lead us to conclude that there probably isn't any association between the variables.13. This is similar to problem 11. The columns being different percentages shows that changing the art style changes the make up of the sculptures and paintings. 14. There are 37+54 = 91 people who prefer the beach (instead of skiing). Of this total, 54 are away from the coast. So roughly 54/91 = 0.59 = 59% of the beach-goers are away from the coast.15. Same idea as the previous problem. We have 24+36 = 60 people who like to ski, and 36 people are away from the coast. So 36/60 = 0.60 = 60% of the skiers are away from the coast.Help me!!! Find the domain of the function. Write the answer in interval notaion.
Answer:
first option
u can also write it as x = R /{-,+4}
A cylindrical juice container has the dimensions shown below.
What is the exact volume of this container in terms of pi?
A. 127 in?
B. 271 in
C. 811 in?
D. 3241 in
9in
3in
Answer:
[tex]81\pi in(2) [/tex]
81pi
In a poll, respondents were asked whether they had ever been in a car accident. 259 respondents indicated that they had been in a car accident and 442 respondents said that the had not been in a car accident. If one of these respondents is randomly selected, what is the probability of getting someone who has been in a car accident
Answer:
259 / 701
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
probability of getting someone who has been in a car accident = number of respondents that have been in an accident / total number of respondents
total number of respondents = 259 + 442 = 701
= 259 / 701
The price of an item has been reduced by 20%. The original price was $35. What is the price of the item now?
Answer: The price of the item is now $28
Step-by-step explanation:
20% of 35 is 7 and 7-35=28
Answer:
$28
Step-by-step explanation:
35 - 20% = 28
PLEASE HELP ASAP - ILL GIVE BRAINLIEST
Answer:
4) [tex]y=-\frac{1}{3} (x-2)^2-3[/tex] 7) [tex]2x^2+12x+18[/tex]
5) [tex](-2,-3)[/tex] 8) [tex](0,-3)[/tex]
Step-by-step explanation:
7) Add [tex]2y^2[/tex] to both sides of the equation.
[tex]x-12y-18=2y^2[/tex]
Add 12y to both sides of the equation.
[tex]x-18=2y^2+12y[/tex]
Add 18 to both sides of the equation.
[tex]x=2y^2+12y+18[/tex]
Use the form of [tex]ax^{2} +bx+c[/tex] to find the values of a, b, and c.
a = 2, b = 12, c = 18
Substitute the values of a and b into the formula [tex]d=\frac{b}{2a}[/tex]
[tex]d=\frac{12}{2(2)}[/tex]
Simplify the bottom.
d = 3
Find the value of e using the formula e = [tex]c-\frac{b^2}{4a}[/tex]
Raise 12 to the power of 2
[tex]e=18-\frac{144}{4(2)}[/tex]
Multiply 4 by 2.
[tex]e=18-\frac{144}{8}[/tex]
Divide 144 by 8.
[tex]e=18-1[/tex] · 18
Multiply [tex]-1[/tex] by 8.
[tex]e = 18-18[/tex]
Subtract 18 from 18.
e = 0
Substitute the values of a, d, and e into the vertex form [tex]a(x+d)^2+e[/tex].
[tex]2(y+3)^2+0[/tex]
Set x equal to the new right side.
[tex]x=2(y+3)^2+0[/tex]
Use the vertex form, [tex]x=a(y-k)^2+h[/tex], to determine the values of a h & k.
a = 2
h = 0
k = [tex]-3[/tex]
Find the vertex [tex](h,k)[/tex]
[tex](0,-3)[/tex]
(8k+3) (2k+7)
find the product
Answer:
16k^2 + 62k + 21
Step-by-step explanation:
We can distribute:
(8k + 3)(2k + 7)
(8k)(2k) + (8k)7 + 3(2k) + 3(7)
Now, we can simplify:
16k^2 + 56k + 6k + 21
16k^2 + 62k + 21
in a class test (+ 5) marks are given for every correct answer and (-3) marks are given for every incorrect answer.
a) Anu gets 8 correct answer and 12 incorrect answers what is her score?
b) Sam answered all the questions and scored 28 marks though he got 11 correct answers.
How many incorrect answers had he attempted?
● Please answer my question and I do not need any links
Answer:
a. 4 marks b. 9 questions
Step-by-step explanation:
a) Anu gets 8 correct answer and 12 incorrect answers what is her score?
Since Anu got 8 correct answer and 12 incorrect answers, and + 5 marks is given for every correct answer and (-3) marks are given for every incorrect answer, the total score for correct answers is number of correct answer × marks for correct answer = 8 × (+ 5) = 40.
Also, the total score for incorrect answers is number of incorrect answer × marks for incorrect answer = 12 × (- 3) = -36.
Anu's total score = total score for correct answers + total score for incorrect answers = 40 + (-36) = 40 - 36 = 4 marks.
So, Anu scored 4 marks.
b) Sam answered all the questions and scored 28 marks though he got 11 correct answers. How many incorrect answers had he attempted?
Let x be the number of incorrect answers. Since the marks for incorrect answers is -3, then his total score for incorrect answers is -3x.
Since Sam got 11 correct answers and is given + 5 marks for each correct answer, then his total score for correct answers is 11 × (+5) = +55.
Since he gets a total of 28 marks, we have that total score for incorrect answer + total score for correct answer = 28.
So, -3x + 55 = 28
Solving for x, we have
-3x = 28 - 55
-3x = -27
x = -27/-3
x = 9
Since x = 9, Sam attempted 9 incorrect questions.
.
Answer:
He or she attempted 9 incorrect answers
Step-by-step explanation:
write a rule to describe the transformation
A. (x, y) (x, y)
B. (x, y) (3x, 4y)
C. rotation 180° about the origin
D. (x, y) (x-2 y-6)
please help me I'll really appreciate it
Answer:
D
Step-by-step explanation:
you need to subuce the x-2 and y-6
John gets 3 Dollars and 12 cents everyday by mowing lawns, but he's been noticing that every time he mows his lawns he get 0.2 more money than he did before that lawn mowing session if John mowes two lawns every day and John starts at 3 Dollars and 12 cents, in 1 week how much money will John have made?
Which are the solutions of 5x2 + 2x - 3 = 0 by factoring?
Answer:
[tex]x=\frac{3}{5}[/tex]
x = - 1
Step-by-step explanation:
5x² + 2x - 3 = 0
5x² + 2x - 3x = 0
(5x² + 5x) + (- 3x - 3) = 0
5x(x + 1) - 3(x + 1) = 0
(5x - 3)(x + 1) = 0
Create separate equations.
5x - 3 = 0
x + 1 = 0
5x - 3 = 0
5x - 3 + 3 = 0 + 3
5x = 3
5x ÷ 5 = 3 ÷ 5
[tex]x=\frac{3}{5}[/tex]
x + 1 = 0
x + 1 - 1 = 0 - 1
x = - 1
[tex]3x + (-2x) + 2 =[/tex]
PLEASE HELP ME thank you if you do
Answer:
C) 12√2
Step-by-step explanation:
According to the 45-45-90 triangle x should be a√2 and since a = 12 (in this case) the answer is 12√2.
Answer:
Option 3 is your correct answer.
Which point is located on the x-axis of a coordinate grid?
I don't see the grid? did you attach a photo?
Which of the following is equal to √^3√5
5^1/3
5^1/6
5^2/3
5^3/2
In ΔQRS, the measure of ∠S=90°, QS = 12, RQ = 13, and SR = 5. What is the value of the tangent of ∠R to the nearest hundredth?
Answer:
2.40
Step-by-step explanation:
From the triangle QRS
RQ is the hypotenuse 13
QS is the opposite = 12
SR is the adjacent = 5
According to SOH CAH TOA
tan <R = opp/adj
Tan <R = qs/sr
Tan <R = 12/5
Tan <R = 2.40
What is the factored form of 25x2 – 20x + 4?
A. (5x – 2)2
B. (5x + 2)2
O C. (5x + 1)(5x – 4)
D. (5x + 2)(5.x - 2)
Answer:
Step-by-step explanation:
This factors using a perfect square trinomial. You can recognize this by several characteristics. First off, the leading coefficient is a perfect square (25); second, the constant is also a perfect square (4). Third, the second sign is a + which means that both the signs inside the parenthesis are the same and they are both whatever the first sign is, - . Factoring this then, is the (square root of the leading coefficient times x - square root of the constant):
(5x - 2)(5x - 2) which simplifies down to
[tex](5x-2)^2[/tex], choice A.
Which of the following terms are like terms with 3x: 3a, −3b, 4x, or 8y?
True or False Variation provides information about how much the data varies within the sample.
Answer:
True
Step-by-step explanation:
The variance of data measures how much the data varies.
your awnser would be true.
9 x 10^2 is _ times as much as 3 x 10^2
Answer:
3
Step-by-step explanation:
3 × 3 × 10²
A zoo has 1,361 visitors on Saturday and 549 on Sunday. Which is the best estimate of the total number of visitors
1900 is the answer.
Solve the triangle. Round decimal answers to the nearest tenth
Answer:
my answer is in this picture
is my answer correct or should I add more or change it?
Answer:
the answer u wrote is correct because the question says to just subtract x number of dog by 7 dogs and u get a total of 35 dogs
UHH HELP ME PLS AND I WILL MARK BRAINLIEST
Answer:
First option: 3619.1 cubic centimetres
Step-by-step explanation:
Use this formula for figure out the volume of a cone:
[tex]V=\pi r^2\frac{h}{3}[/tex]
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So:
π × 144 × 8 ≈ 3619.1
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Have a good day :)
What is slope? Describe it and provide an real life example.
Answer:
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
Step-by-step explanation:
