Answer:
x = 11/c
Step-by-step explanation:
cx - 4 = 7
Add 4 to each side
cx - 4+4 = 7+4
cx = 11
Divide each side by c
cx/c = 11/c
x = 11/c
Candidate A and Candidate B are running for mayor. A poll was taken to determine which candidate would likely win the election. The poll is accurate within ±5%. Write an absolute value equation to find the maximum and minimum percentage of voters who will vote for Candidate A if 38% of the voters in the poll voted for Candidate A. Let A represent the percent of voters who will vote for Candidate A.
Answer:
[tex]|A-38|=5[/tex]
33% or 43%
Step-by-step explanation:
Given that poll is accurate within [tex]\pm5[/tex].
38% voters have voted for candidate A.
[tex]A[/tex] is the percent of voters who will vote for candidate A.
So, value of A can be 38+5=43%
OR
38-5 = 33%
We will write an absolute function for the above situation.
But, first of all, let us have a look at the definition of Absolute value function.
[tex]|y|=\left \{ {-{y}\ if\ y<0 \atop {y}\ if\ y>0} \right.[/tex]
The the value of function gives us a negative sign when the value inside the modulus function is negative.
[tex]A-38[/tex] will be negative when [tex]A < 38[/tex] and
[tex]A-38[/tex] will be positive when [tex]A>38[/tex].
This difference is given as [tex]\pm5[/tex].
Therefore, the absolute value function can be written as:
[tex]|A-38|=5[/tex]
Case 1: [tex]A < 38[/tex]
As per definition of modulus function, it will open with a negative sign.
[tex]-A+38=5\Rightarrow A = 33[/tex]
Case 2: [tex]A>38[/tex]
As per definition of modulus function, it will open with a positive sign.
[tex]A-38=5\Rightarrow A = 43[/tex]
Therefore the answer is 33% or 43%
WILL GIVE 100 POINTS AFTER YOU ANSWER
What is the median of this data set: 17, 13, 18, 20, 17, 15, 12
20
17
19
16
Answer:
b
Step-by-step explanation:
Michael travels 172 miles in 4 hours. Find the unit rate.
Answer:
43.5
Step-by-step explanation:
If the domain is 1,2,3,4 what is the range
Express the ratio below in its
simplest form.
18:3:9
Answer:
6:1:3
Step-by-step explanation:
List all the 3-digit even numbers that can be created by rearranging these number tiles.
237
Answer:
732 372
Step-by-step explanation:
Given f(x)=3x+7 and g(x)=5x-4 answer the following g(2)
Answer:
6
Step-by-step explanation:
They are asking you to plug in 2 for the g(x) equation
5(2)-4=6
The Rodriguez family drinks 4.5 gallons of milk per week. The Bentley family drinks 1.2 gallons of milk each day. What is the difference, in liters, between the amounts of milk the families will drink in one week?
(1 gallon is approximately 3.8 liters)
A. 14.82 liters
B. 17.1 liters
C. 22.45 liters
D. 31.92
Answer:
A.
Step-by-step explanation:
PLEASE HELP PLEASE AND GIVE AN EXPLANATION FOR BRAINLIEST
The gas tank of your car was 1/3 full. At the gas station, you added another 2/5 tank of gas. If it takes 1/30 tank of gas to drive round trip to school, how many trips can you make with the gas in the car?
Answer:
Step-by-step explanation:
You need to find a common denominator for 2/5 and 1/3, which is 15. You multiply and you get 6/15 and 5/15. 5/15 + 6/15 is 11/15.
You also need to find a common denominator for 11/15 and 1/30. 11/15= 2/30, so you can make 2 trips with the gas in the car :)
What is the factored form of 8x^3 - 27y^3?
A. (2x + 3y)(4x^2 - 6xy + 9y^2)
B. (2x – 3y)(4x^2 + 9xy + 6y^2)
C. (2x – 3y)(4x^2 + 6xy + 9y^2)
D. (2x + 3y)(4x^2 - 9xy + 6y^2)
Circle A has a diameter of 9 , Circle B has a radius of 5 , how many centimeters larger is it ?
Answer:
4
Step-by-step explanation:
What is the value of x x+18+5x-6=180
Step-by-step explanation:
I Hope it helps you . Hope it will
Answer:X=28
Step-by-step explanation:
first you combine the like terms wich are x and 5x also -6 and 18
second your equation will be 6x+12=180
Third you subtract 12 from each side
4th you divide each side by 6 to simplify the x
5th your anwse would be x =28
Last summer,emelian decided to measure change in a swimming pools water level each week. It was hot and dry the first week and the level decreased by 8 inches.During the second week, it rained and the water level increased by 17 inches. Model the changes as a sum of integers.
Answer:
(-8) + (+17) = -8 + 17 = 9
Step-by-step explanation:
Level of water in the first week = - 8 (the negative sign represents a decrease in inches, of the level of water)
Level of water during the second week = + 17 (the positive sign represents an increase, in inches, of the level of water).
These changes in the level of water can be modelled as sum of a positive and a negative integer as follows:
(-8) + (+17)
When adding a negative and a positive integer value, subtract the smaller value from the greater value, and retain the sign of the value that is greater.
17 is greater than 8. Therefore, subtract 8 from 17, and retain the sign of 17.
Thus:
(-8) + (+17) = -8 + 17
= 9
write a system of linear inequalities represented by the graph
√10 • √8 =
A. 4√5 or
B. 3√2
Which one?
Answer:
A. ([tex]4\sqrt{5}[/tex])
Step-by-step explanation:
√10 • √8 = [tex]\sqrt{80}[/tex] - They combine into one.
[tex]\sqrt{80}[/tex]
/ \
[tex]\sqrt{20}[/tex] [tex]\sqrt{4}[/tex]
[tex]\sqrt{4}[/tex] = 2
[tex]\sqrt{20}[/tex] = [tex]2\sqrt{5}[/tex]
2 * 2 = 4
[tex]4\sqrt{5}[/tex] is the answer.
In September, a website had 12,514 visitors. In October, the website had 13,460 more visitors than it did in September. The website had the same number of visitors in November as it did in October. How many visitors did the website have in September, October, and November combined?
Answer: 64462 visitors
Step-by-step explanation:
In September, a website had 12,514 visitors.
In October, the website had 13,460 more visitors than it did in September. This will be:
= 12514 + 13460
= 25974
The website had the same number of visitors in November as it did in October.
September = 12514 visitors
October = 25974 visitors
November = 25974 visitors
Total visitors = 12514 + 25974 + 25974
= 64462 visitor
Use Graphs A-D for Exercises 9-11. During the winter, the amount of water that flows
down a river remains at a low constant. In the spring, when the snow melts, the flow of
water increases drastically, until it decreases to a steady rate in the summer. The flow
then slowly decreases through the fall into the winter. Consider the graphs shown.
A.
B.
Water (gallons per second)
Water (gallons per second)
Season (winter-fall)
Season (winter-fall)
C.
D.
Water (gallons per second)
Water (gallons per second)
Season (winter-fall)
Season (winter-fall)
9. Which graph best represents the given situation?
Graph B
10. Describe the other three graphs.
11. What are possible situations for graphs B, C, and D?
did u get the awnsers?
Given a rhombus ABCD with vertices A(2,6), B(6,7), C(5,3), and D(1,2). What would the coordinates of its image be if it was rotated 180° about the origin?
Answer:
The coordinates would be A(6,2), B(7,6), C(3,5), D(2,1)
Step-by-step explanation:
When conducting a 180 degree rotation, you can just reverse the points to get your answer.
The required coordinate of the rhombus when rotates around the origin by 180° is A(-2, -6), B(-6,-7), C(-5, -3), and D(-1, -2).
Given that,
Given a rhombus ABCD with vertices A(2,6), B(6,7), C(5,3), and D(1,2). What would the coordinates of its image be if it was rotated 180° about the origin is to be determined.
Coordinate, is represented as the values of positions on the x-axis and y-axis of the graph
here,
Given the coordinates of the rhombus, A(2,6), B(6,7), C(5,3), and D(1,2).
Now, after rotation through 180° around the origin is A(-2, -6), B(-6,-7), C(-5, -3), and D(-1, -2), because while rotating the rhombus it would go to the third quadrant.
Thus, the required coordinate of the rhombus when rotates around the origin by 180° is A(-2, -6), B(-6,-7), C(-5, -3), and D(-1, -2).
Learn more about coordinate here:
brainly.com/question/13498438
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The Rock Zoo nurses 37 species of big cats. Recently, a few species of big cats were sponsored to other zoos around the country. The zoo now nurses only 25 species. How many species of big cats were sponsored to other zoos?
Write the equation to be used to solve this equation.
Answer:
12 species
Step-by-step explanation:
37-N=25
working backwards
25-37=N
=25-37=12
What is the slope of 4x + 3y = −24?
Answer:
slope is 4/3x
Step-by-step explanation:
In the fraction 11/12 the_is 11
Answer:
numerator
Step-by-step explanation:
.,.............
helppp plsssssssssssssssssssss
Answer:
6b-8=58
b=11
Step-by-step explanation:
Pam works on
commission from sellingE
stocks for a local bank.
She had a great month
and sold $2.5 million
dollars in investments
this month. She earns
4% commission on the
10% fee the bank
charges for sales over
$800,000. How much
did she earn?
Answer:
$10,000
Step by step:
Banks earnings(10%)=x
Pams earnings(4% of banks earnings)=y
10% of $2.5m= $250,000=x
4%(1/25) of $250,000=$10,000=y
Which pair of quantities form a proportional relationship? Select all that apply
Answer:
The 4th and 6th
Step-by-step explanation:
What’s the greatest common factor of 156 and 260 show your work
Answer:
52
Step-by-step explanation:
156: 22 313
260: 22 513
GCF: 22 13
The Greatest Common Factor (GCF) is: 2 x 2 x 13 = 52
What is the slope of the given lines ?
Answer:
slope = [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 5, - 8) and (x₂, y₂ ) = (7, 8) ← 2 points on the green line
m = [tex]\frac{8+8}{7+5}[/tex] = [tex]\frac{16}{12}[/tex] = [tex]\frac{4}{3}[/tex]
Repeat with (x₁, y₁ ) = (0, - 6) and (x₂, y₂ ) = (3, - 2) ← 2 points on the blue line
m = [tex]\frac{-2+6}{3-0}[/tex] = [tex]\frac{4}{3}[/tex]
Since the slopes of both lines are equal, then the lines are parallel
A speedboat, at full throttle, can go 65.0 miles in 1.5 hours. What is the average speed of the boat?
Susan rides her bicycle 5 miles in 1/4 of an hour. At this rate, how many miles could she ride in 2 hours?
Answer:40 miles
Step-by-step explanation:
5*4=20
20*2=40
Answer:
40 miles
Step by Step Explanation:
Each 1/4 of an hour is 15 minutes. 2 hours is 120 minutes, so you divide 120 by 15, which gives you 8. You multiply 8 times the 5 miles , and you get 40 miles. :)
help find equation and missing angle
Answer:
angle V + Angle W = angle U
angle VUF is equal to 94 degrees
Step-by-step explanation:
Raja is depositing checks he received and filling out a deposit slip. The two checks he is depositing are for the amounts of $45.92 and $5.78. If he wanted to withdraw $20 at the same time, what amount should be written on the line highlighted by the green arrow?
Answer:
$31.70
Step-by-step explanation:
aPEx