Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-
response question. There are 15 questions on the test and the students have been given 55 minutes to complete it.
Test Time
Number of Time per Item
Questions (minutes)
m
3
15-m
8
15
Multiple Choice
Free Response
Total
Which value could replace x in the table?
Total Time
(minutes)
3m
х
55
7-m
23-m
8(15 - m)
O 8(15) -
Answer:
See below :)
Step-by-step explanation:
The solution is, 12 multiple-choice questions are on the test.
What is simplification?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
The right answer for the question that is being asked and shown above is that:
m + f = 15 ---> 3m + 3f = 45
3m + 5f = 51
now, we have.
3m + 3f = 45
3m + 5f = 51
-------------------
-2f = -6
f = 3
so, we get,
m + f = 15
m = 15 - 3
m = 12
So the correct answer is 12.
Hence, The solution is, 12 multiple-choice questions are on the test.
To learn more on simplification click:
brainly.com/question/28996879
#SPJ5
Complete question:
Students are given 3 minutes for each multiple-choice question and 5 minutes for each free-response question on a test. There are 15 questions on the test, and students are given 51 minutes to take it.
The system of equations shown can be used to find the number of multiple-choice questions, m, and the number of free-response questions, f, on the test.
m + f = 15
3m + 5f = 51
How many multiple-choice questions are on the test?
3
5
12
14
The table below shows the average annual salary of the workers at the Pearson
Corporation over the course of time since 1980. Let x represent the number of years
since 1980 with x = 0
representing the year 1980. Let y represent the average annual
salary of the workers. Complete the slope-intercept form of the equation for the line of
best fit below with the appropriate value for the slope.
Answer:
[tex]y = 1164x + 14242[/tex]
Step-by-step explanation:
From the question, we understand that
x = 0, when year = 1980
First, we need to determine the slope of the table.
Pick any two corresponding values of year and average salary
year = 1982, average salary = 16570
year = 2002, average salary = 39850
Convert years to x values
year = 1982 implies that x = 2 i.e. 1982 - 1980
year = 2002 implies that x = 22 i.e. 2002 - 198-
So, we have:
[tex](x_1,y_1) = (2,16570)[/tex]
[tex](x_2,y_2) = (22,39850)[/tex]
Determine the slope.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{39850 -16570}{22 - 2}[/tex]
[tex]m = \frac{23280}{20}[/tex]
[tex]m = 1164[/tex]
The equation is calculated using:
[tex]y - y_1 = m(x - x_1)[/tex]
Where
[tex]m = 1164[/tex]
[tex](x_1,y_1) = (2,16570)[/tex]
So,
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - 16570 = 1164(x - 2)[/tex]
[tex]y - 16570 = 1164x - 1164*2[/tex]
[tex]y - 16570 = 1164x - 2328[/tex]
Add 16570 to both sides
[tex]y - 16570 + 16570 = 1164x - 2328 + 16570[/tex]
[tex]y = 1164x - 2328 + 16570[/tex]
[tex]y = 1164x + 14242[/tex]
Answer:
y = 1164x + 14,242
Step-by-step explanation:
What is the slope of the line?
Answer:
3/3=1
Step-by-step explanation:
rise over run
Is y=(x/3) an inverse or direct variation
Answer: y=x3 is a direct variation.
Step-by-step explanation:
HELPPPpppppppppppppppppppp
Answer:
Well, its a bit difficult to show you how to graph that, but here goes
First point (0,1)
second point (-5,3)
third point (5,-1)
Help plzzz............
Answer: See explanation below
Step-by-step explanation:
A composite number is a number that has factors other than 1 and self, while a prime number only can be divided by (or have factors of) 1 and itself.
Hope this helps! :)
Answer:
A prime number is a number that can be divided by itself or the number 1
Step-by-step explanation:
Not sure on the composite one tho
The sum of two integers is 5. Their difference is 11. What are
the two integers?
A 3 and 14
B
-3 and 8
C 2 and 3
D -14 and -3
Write the equation in standard form. x + 7 = 6y *
x + 6y = -7
x - 6y = -7
x + 6y = 7
x - 6y = 7
Answer:
x−6y=−7
____________
$64 for four video games
What is the ratio and unit rate
Answer:
16 for each video game
Step-by-step explanation:
The unit rate is 16x
the ratio is 16:1
The slope is y=16x
Answer:
The ratio: $65:4
The unit rate: 16.25:1
Step-by-step explanation:
The ratio is money to video games.
The unit rate is how much money each video games cost.
NEED HELP FO THE ONE TIME ASAP NO ROCKY
Answer: X=32
Step-by-step explanation: 85+63=148. The tree angles of a triangle equals 180 degrees, so 180-148=32
Thom's restaurant bill is $45 and he leaves a 20 percent tip. What is the total cost for Thom's meal? O $20 $54 O $65 0 $90
Answer:
$54
Step-by-step explanation:
Answer:
B.)$54
Step-by-step explanation:
20%->0.20
45(0.20)=9
45+9=54
Andre and Diego were each trying to solve `2x+6=3x-8`. Describe the first step they each make to the equation.
The result of Andre's first step was `-x+6=-8`.
Write the equation of the line in slope-intercept form of a slope of -3/5
and y-intercept of 0?
Answer:
y=-3/5+0
Step-by-step explanation:
8.05 is it greater than 8.2
Answer:
No
Step-by-step explanation:
8.05 is less than 8.2 by .15
Eli wanted to order candy online. Company A is offering 2 1/2 pounds of chocolate for $32.50. How much is Company A charging per pound of chocolate?
Answer:3.25
Step-by-step explanation:32.50 divided by 5/2= 3.25
SOMEONE, PLEASE HELP ME OUT!!!!!! WILL MARK BRAINLIEST
What are the simplified versions of the expressions shown below??
(21,24,27, and 29 don't count
Answer:
19) 9x^2 -1
20) 4x^2 +21x -18
22) 2x^2 -13x -7
23) 3x^3 -9x^2 -13x +4
25) 4x^2 +21x -18
26) -14x^3 -12x^2 -x +3
28) 3x^3 -9x^2-13x +4
30) 4x^2 -12x +9
Answer:
19 . 9x square -1
20. 4x square + 21x - 18
22. 2x square - 13x - 7
23. 3x cube -9x square - 13x - 4
25. 4x square + 21x - 18
26. 4x cubed - 12x square - 1x -3
28. 3x cubed - 9x square - 13x - 1
30. 4x square -12x + 9
Step-by-step explanation:
REMEMBER THE SQUARE & CUBE because there isn’t that option
PLZZZ MARK BRAINLIEST I WORKED REALLY HARD FOR THIS
HOPE THIS HELPS
In triangle ABC show find BC..
Need help ASAP!!!
Answer: BC=22cm
Step-by-step explanation:
5d-3=3d+7
2d=10
d=5
plug 5 into the equation for BC, and you get 22
Answer:
Segment BC is (3d + 7)cm, where d=5. So, BC= 22cm.
Step-by-step explanation:
Segment BC is (3d + 7)cm, where d=5. You find this through these steps:
(5d-3)=(3d+7) Subtract 3d from 5d, which equals 2d.
2d-3=7 Now, add 3 to 7.
2d=10 Divide 10 by 2.
d=5 The solution is 5.
Plug 5 into the equation of Segment BC:
3(5) + 7
BC= 22
PLZZZZ HURRY ILL GIVE BRAINLEST POINTS PLZZZZ I NEED A 100% ON THIS TEST
determine the equation of the line given by the graph y=2/3x-1 y=3/2x-1 y=-2/3x-1 y=-3/2x-1
Answer:
y=2/3-1
Step-by-step explanation:
Two coordinate points are (-3,-3) and (3,1). If you use Y2-Y1/X2-X1, you will find the slope. Then use y=mx+b to find the equation.
More detailed:
1+3/3+3 ** It is + because when there are minus signs it turns to a plus
4/6 Then simplify it
2/3
Now that the slope is found, we need to use y=mx+b
(I used the point (3,1)) 1=2/3(3)+b
1=2+b
-1=b
I hope this is helpful gl on the test! :)
The admission fee to an amusement park is $27. It costs an additional d dollars to rend a locker to hold your belongings. The total cost for 10 people to enter the amusement park and each rent a locker is $330. How much does it cost for one person to rent a locker?
Answer:
$33
Step-by-step explanation:
If each locker costs $6, 33x6=330 (the 33 is from 27+6)
What are some good insults
Also so this don't get deleted: What is an exponent?
Answer:
a person who believes in and promotes the truth or benefits of an idea or theory.
Step-by-step explanation:
you are pretty
smart
kind
beautiful
"My daddy said your a stranger"
figure out the slope of the line that passed through each pair of points (4,-11) and (7,-8)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]slope = \frac{ - 8 - ( - 11)}{7 - 4} \\ [/tex]
[tex]slope = \frac{ - 8 + 11}{7 - 4} \\ [/tex]
[tex]slope = \frac{3}{3} \\ [/tex]
[tex]slope = 1[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
71 3/7% Express the percent as a fraction in simplest form.
please help.
Answer:
5/3
Step-by-step explanation:
We want to express the percentage as a fraction
We have;
500/3/100 = 500/300 = 5/3
Peter can run 10 kilometers in 2 hours at a steady rate how long will it take him to run 30 kilometers
Answer:
6 hours
Step-by-step explanation:
10/2=5
5 * 6 =30
Answer:
It will take him 6 Hours
Step-by-step explanation:
10Kilometers=2Hrs
10K*3=2Hrs*6
That's why it's 6 Hrs
n/8 +12 =64 solve for N.
Answer:
n divided by 8 Plus 12 = 64 n=416
Step-by-step explanation:
Answer:
n = 416
Step-by-step explanation:
n/8 + 12 = 64 (subtract 12 on both sides)
n/8 = 52 (now multiply both sides by 8 so that we can get n by itself)
n = 416
(plug in to check)
416/8 + 12 = 64 (simplify)
52 + 12 = 64 (collect like terms)
64 = 64
Hope this helps!!
i need help with this
Answer:
Hey there..Sorry but, I don't know the answer to this..! Wish I could help.
Gina uses 1 1/5 teaspoons of salt for every kilogram of ground beef. How many teaspoons of salt are needed for 12 1/2 kilograms of beef?
answer with solution pls hehe
Answer:
The possible answer should be 15 teaspoons
Which table represents a linear function?
ху
х
y
1
7
2
2
11
4
3
12
6
12
4
13
8
15
ху
х
у
N X
7
1
7
4
9
2.
9
6
11
3
12
8
13
4
15
The second table at the bottom represents a function because the slope for consecutive pairs of values is the same as 2, all through. The answer is: {(2, 7), (4, 9), (6, 11), (8, 13)}.
How to Identify a Table that Represents a Linear FunctionA table that represents a linear function will have the same slope across all pairs of values.Change in y / change in x will remain the same between consecutive pairs of values.Thus, the second table at the bottom represents a function because the slope for consecutive pairs of values is the same as 2, all through. The answer is: {(2, 7), (4, 9), (6, 11), (8, 13)}.
Learn more about linear function on:
https://brainly.com/question/15602982
HURRY I NEED HELP SOON
Zola and her friends are going bowling. The bowling alley charges each person a $14 fee to rent shoes, plus $4.50 per game.
Which equation represents the cost, y, for each friend to go bowling in terms of the number of games played, x?
a. y=4.50x +14
b. y= -14x - 4.50
c. y= -4.50x - 14
d. y= 14x + 4.50
Answer:
i think a
Step-by-step explanation:
becuade 4.50 per game(x) and the additional fee would be 14
please help, my time is running out
Answer: 40 ?
Step-by-step explanation:
Teresa wants to replace a glass window in her restaurant. The window is in the shape of a square. Its side lengths are 6 feet. Suppose glass costs $7 for each square foot. How much will the glass cost to replace the window? Please I really need help ASAP!!!
Answer:
I think the answer is 84 dollars
Step-by-step explanation:
Answer: The answer is 254
Step-by-step explanation: