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.
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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
What is (0.2 + -5) x (4.1) ?
Answer:
-19.68
Step-by-step explanation:
(0.2 + (-5) × (4.1)
-4.8 × (4.1)
-19.68
Answer:
-19.68
Step-by-step explanation:
(0.2 + (-5)) * (4.1)
(-4.8) * (4.1)
-19.68
When given the equation where you have to add a negative, it's similar to subtraction. Where the positive number will be subtracted from the negative number.
A biker cycles 9 miles in 2/3 of an hour.
a
Make a chart and fill it in to show how far he will bike if he maintains the same pace for 2 hours, 3 hours, 3.5 hours
Answer:
2 hours: 27 miles, 3 hours: 40.5 miles, 3.5 hours: 47.25 miles
Step-by-step explanation:
1.) If a hiker hikes 9 miles in 2/3 of an hour, he will hike 4.5 (Half of 2/3 is 1/3 and half of 9 is 4.5) miles in 1/3 of an hour and 13.5 miles per hour. (1/3 times 3 gives us a whole and 4.5 times 3 is 13.5)
2.) 2 hours: 13.5 * 2 = 27 miles
3.) 3 hours: 13.5 * 3 = 40.5 miles
4.) 3.5 hours: 13.5 * 3.5 = 47.25 miles
He rides 27 miles in two hours, 81/2 miles in 3 hours, and 189/4 in 3.5 hours.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, A biker cycles 9 miles in 2/3 of an hour.
∴ He rides (9×3/2) is (2/3)×(3/2) hours.
He rides 27/2 miles in 1 hour.
So, He rides (27/2)×2 in 2 hours.
27 miles in 2 hours.
He rides (27/2)×3 miles in 3 hours.
81/2 miles in 3 hours.
He rides (27/2)×(7/2) miles in 7/2 hours.
189/4 miles in 7/2 hours.
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a scale drawing of a rectangular room measures 3 1/2 inches by 11/2 inches the scale is 1/4 inches the scale 1/4 inch = 2 feet carpeting cost $10 per square foot how much will it cost to buy enough carpenter to cover the floor of this room
Answer:
$1540
Step-by-step explanation:
3/2 x 11/2 = 19 1/4
19 times 4 to find how many 1/4s fit in 19 = 76
Add 1/4 = 77
77 x 2 = 154 feet
154 x 10 = $1540
Answer:
1,120
Step-by-step explanation:
I don’t really know but it’s 1,120
$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.
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
____________
Mark and some of his friends had eaten pizzas. What is this written as a decimal?
Answer:
We don't really have the whole question, but to convert to a decimal, you should divide the numerator by the denominator.
Example:
Convert 5/8 to a decimal.
5 divided by 8 = 0.625
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
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
help please please
If i just knew the answer i would tell you buti dont know sorrry
Answer:
1. A. 9
B. - 51
2. A. (-3,2)
B. (5,-2)
3. A. (11,-3) B. (11,1) C. They have the same x
*15 Points* need help quickly plz
Answer:
Both of these statements are correct.
Step-by-step explanation:
Adjacent means next to each other, vertical angles are like angles 2 and 5, where they are right across from each other.
I hope this helps/ makes sense!!!
Write an equation in slope-intercept form of the line that passes through (3,8) and (1,-2)
Step-by-step explanation:
let eqn be y = mx + b.
m = (-2 - 8)/(1 - 3) = 5
sub (3, 8):
8 = 5(3) + b
b = -7
therefore equation of the line is y = 5x - 7
Topic: coordinate geometry
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
Answer:y = 5x - 7
Step-by-step explanation: /
What is the difference of 4 cubed and 25????
Answer:
39
Step-by-step explanation:
4 cubed is 64 and 64-25 is 39
!!20 POINTS!! BRAINLIEST TO CORRECT ANSWER!!
Select the correct answer.
Which ratio is equal to 27:81?
А.1:9
B.2:9
C.3:9
D. 3:27
E.9:12
Answer:
3:9
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
27:81
= 27/81
=3/9
=3:9
it could be reduced to 1:3 but because the alternatives does not include, it 3: 9
please reward me by marking me as the brainliest.
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"
What fraction is 20 min of 3 hours? Answer in simplest form
Answer:
1/9
Step-by-step explanation:
HELP ASPCA PLZ
How long is the flight from Baltimore to Miami?
2 hours 25 minutes
O 2 hours 35 minutes
O 3 hours 25 minutes
o 3 hours 35 minutes
Ms. Sakai rode her bike 7.25 miles on Friday. She then rode 12.3 miles on Saturday and then 7.3 miles on Sunday. How many total miles did she ride over those three days?
Answer:26.85 miles
Step-by-step explanation: 7.25+12.3+7.3=26.85
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:
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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
A baker in 70 minutes iced 40 cupcakes and in 49 minutes he iced 28 cupcakes what is the constant of proportionality? express your awnser in decimal form.
Answer:
1 cupcake is made in 1.75 minutes.
1.75 minutes
Step-by-step explanation:
Divide 70 by 40 = 1.75.
49/28=1.75
The constant of proportionality of the given data is 0.57.
What is constant of proportionality?The constant of proportionality is the ratio of two proportional values at a constant value.
Now it is given that,
Time taken for icing 40 cupcakes = 70 minutes
∴ Icing of cupcakes in 1 minute = 40/70
= 0.57
Time taken for icing 28 cupcakes = 49 minutes
∴ Icing of cupcakes in 1 minute = 28/49
= 0.57
⇒ constant of proportionality = 0.57
Thus, the constant of proportionality of the given data is 0.57.
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The cheerleading squad sold 480 spirit ribbons, collecting a total of $360.00. What was the cost of each ribbon?
Answer:
1.33
Step-by-step explanation:
480 divided by 360 gets you 1.33
Answer:
Each ribbon costs $0.75.
Step-by-step explanation:
All you need to do solve the problem is divide 360/480 = 0.75.
To check your answer, multiply 0.75 by the number of ribbons sold:
0.75 x 480 = 360
I hope this helped! If it did, please consider rating my answer and pressing thanks. Have a fantastic day!
( use elimination) on 3x+5y=12 and x-3y=4
Answer:
x=4 y=0
Step-by-step explanation:
3x+5y=12
-(x-3y=4)
3x+5y=12
3(-x+3y=-4)
3x+5y=12
-3x+9y=-12
14y=0
y=0
Then, substitute the y into the equation to find x
x-3(0)=4
x=4
What is the perimeter of this shape
Answer:
40.9
Step-by-step explanation:
8+10+8.9+10+4=40.9
hope this helps :3
if it did pls mark brainliest
Answer:
40.9 ft
Step-by-step explanation:
Perimeter is the sum of lengths of all outer sides of the shape. Since the rectangle has two pairs of parallel lines of the same length... It is safe to assume that the unmarked side length is 10 ft (just like it's parallel counterpart)
Now it is a simple matter of adding all of the outer sides.
8ft + 10 ft + 10 ft + 8.9 ft + 4 ft = 40.9 ft
please help, my time is running out
Answer: 40 ?
Step-by-step explanation:
I give Brainliest!
Determine whether the following statements are sometimes, always or never true.
Equilateral triangles are also right triangles.
All angles of an equilateral triangle are congruent.
Answer: Equilateral triangles are also right triangles sometimes. All angles of an equilateral are congruet sometimes.
7. Estimote the following percentages of 60.
10% =
25% =
50% =
20% =
Answer:
10% of 60 = 6
25% of 60 = 15
50% of 60 = 30
20% of 60 = 12
Step-by-step explanation:
Answer:
10% = 6
25% = 15
50% = 30
20% = 12
Step-by-step explanation:
10 % just drop the 0 from 60. 1/10 of 60 is 6
25% is 1/4. Divide: 60/4 =15
50% is half. Divide 60/2 = 30
20% is 1/5 Divide 60/5 =12
10
10
5
-10
0
10
-10
0
10
10
1.5
10
10
-10
Answer:
???????................ .mm
Answer:
???????................ .mm
Step-by-step explanation:
figure out the slope of the line that passed through each pair of points (4,-11) and (7,-8)
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[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]
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Is y=(x/3) an inverse or direct variation
Answer: y=x3 is a direct variation.
Step-by-step explanation:
