Answer:
0.75
Step-by-step explanation:
You want to rent a car for the day.Prestige car rentals charges $47 plus $0.07 per mile to rent a midsize vehicle . Gateway Auto changes a $35 fee plus $0.12 per mile for the same car. For what number of miles will both companies charge the same price?
Answer:
240 miles
Step-by-step explanation:
Given that:
Charges offered by Prestige car rentals for renting a midsize vehicle:
Fixed charges = $47
Per mile charges for renting a midsize vehicle = $0.07
Charges offered by Gateway Auto for renting a midsize vehicle:
Fixed charges = $35
Per mile charges for renting a midsize vehicle = $0.12
To find:
Number of miles for which both the companies charge the same price?
Solution:
Let the number of miles for which both the companies will charge the same price = [tex]x[/tex] miles
Charges for one mile by Prestige car rentals = $0.07
Charges for [tex]x[/tex] miles by Prestige car rentals = $0.07[tex]x[/tex]
Total charges by Prestige Car rentals = $47 + $0.07[tex]x[/tex]
Charges for one mile by Gateway Auto = $0.12
Charges for [tex]x[/tex] miles by Gateway Auto = $0.12[tex]x[/tex]
Total charges by Gateway Auto = $35 + $0.12[tex]x[/tex]
As per question statement, the charges are same:
[tex]\$47 + \$0.07x = \$35 + \$0.12x\\\Rightarrow 12=0.05x\\\Rightarrow x=\dfrac{1200}{5}\\\Rightarrow \bold{x=240\ miles}[/tex]
Given that 6x – 5y = 14
Find x when y = 2
Answer:
x = 4
Step-by-step explanation:
Given
6x - 5y = 14 ← substitute y = 2 into the equation
6x - 5(2) = 14
6x - 10 = 14 ( add 10 to both sides )
6x = 24 ( divide both sides by 6 )
x = 4
Answer:
[tex]\huge\boxed{\sf x = 4}[/tex]
Step-by-step explanation:
[tex]\sf 6x-5y = 14\\\\Put \ y = 2\\\\6x - 5(2) = 14\\\\6x - 10 = 14\\\\ Adding \ 10 \ to \ both \ sides\\\\6x = 14+10\\\\6x = 24\\\\Dividing \ both \ sides \ by \ 6\\\\x = 24 / 6\\\\x = 4\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807The table below displays the walking heart rate and running heart rate of eight girls
in beats per minute (bpm).
Walking Heart Running Heart
Rate
Rate
66
128
72
136
74
134
78
138
80
84
u
86
S
88
152
Using the linear best-fit model for the data, what is the predicted running heart rate
of a girl whose walking heart rate is 100 bpm?
Answer:163 bpm
Step-by-step explanation:
The running heart rate of a girl as per linear equation will be 178.7 bpm.
What is a linear equation?Linear equation is an equation where the highest power of a variable is 1.
As per given data,
The average walking heart rate of eight girls is = (66 + 72 + 74 + 78 + 80 + 84 + 86 + 88)/ 8 = 78.5 bpm.
The average running heart rate of eight girls is = (128 + 136 + 134 + 138 + 142 + 144 + 14 8 + 152)/8 = 1122/8 = 140.25 bpm.
Therefore, for walking heart rate of x, the running heart rate will be (140.25/78.5)x = 1.787x.
Hence, the linear equation between walking heart rate and running heart rate is y = 1.787x.
Now, for walking heart rate of 100 bpm of a girl, the running heart rate will be = 1.787 × 100 bpm = 1787.7 bpm.
Learn more about linear equation here: https://brainly.com/question/2263981
#SPJ2
Tom determines that the system of equations below has two solutions, one of which is located at the vertex of the parabola.
Equation 1: (x – 3)2 = y – 4
Equation 2: y = -x + b
In order for Tom’s thinking to be correct, which qualifications must be met?
b must equal 7 and a second solution to the system must be located at the point (2, 5).
b must equal 1 and a second solution to the system must be located at the point (4, 5).
b must equal 7 and a second solution to the system must be located at the point (1, 8).
b must equal 1 and a second solution to the system must be located at the point (3, 4).
Answer:
your answer is:
b must equal 7 and a second solution to the system must be located at the point (2, 5).
Step-by-step explanation:
Answer: A
Step-by-step explanation:
PLEASE HELP
slove for X
37
19.25
10.375
41
Answer:
25
Step-by-step explanation:
Answer:
A. 37Step-by-step explanation:
I just did this question and this was the answer that was right for me. Sorry that I saw this question late :(
For every 3 dozen cookies, a bakery uses 8 cups of butter. How many dozen of cookies could you make with 20 cups of butter?
Answer:
7 1/2 dozen of cookies
Step-by-step explanation:
If for every 3 dozen cookies, a bakery uses 8 cups of butter then we can say;
3 dozens cookies = 8 cups of butter
x cups of cookies = 20 cups of butter
Cross multiply
8*x = 3 * 20
8x = 60
x = 60/8
x = 7 4/8
x = 7 1/2
Hence you will need 7 1/2 dozen of cookies
One year after you buy a tree, it is 10 feet tall. Each year after you buy the tree, it grows 2 feet. Write a function that represents the arithmetic sequence (1,10),(2,12),(3,14). How long does it take for the tree to reach its maximum height of 28 feet?
Answer:
10 years
Step-by-step explanation:
We are told that One year after you buy a tree, it is 10 feet tall. Thus, it's initial height after 1 year is 10 ft.
Now we are told that each year after you buy the tree, it grows 2 feet. This means that it's height after you bought it was; f(0) = 10 - 2 = 8ft
Thus,
f(1) = 8 + 2 = 10
f(2) = 8 + 2 + 2 = 12
f(3) = 8 + 2 + 2 + 2 = 14
The pattern here is;
f(x) = 8 + 2x
Where x is number of years
Thus, for it to reach a maximum height of 28 ft;
28 = 8 + 2x
Subtract 8 from both sides to give;
28 - 8 = 2x
2x = 20
x = 20/2
x = 10 years
What does decreasing interval mean?
Answer:
The section of a parabola that shows a falling curve with decrease in the y values of the graph is known as the decreasing interval of the quadratic function
Step-by-step explanation:
Please help and explain so I understand!!
Answer:
x=5
Step-by-step explanation:
[tex]4x^2-11=89[/tex]
add 11 to both sides
[tex]4x^2=100[/tex]
Divide 4 on both sides
[tex]x^2=25[/tex]
Take the square root of both sides to eliminate the power of two from x
[tex]\sqrt{x^2} =\sqrt{25}[/tex]
Simplify
[tex]x=5[/tex]
a) A farmer has 50 acres of land in which he plans to plant maize and beans. Each acre of maize requires 6 people and each acre of beans requires 2 people to work on it. He has at least 60 people available. He must plant at least 10 acres of beans. The profit on maize is KES 2000 per acre and on beans is KES 3000 per acre. If he plants x acre of maize and y acres of beans,
i) write down 4 inequalities of x and y to describe his plan
ii) represent the 4 inequalities graphically
iii) determine the acreage for each crop for maximum profit
Answer:
Hi how are you doing today Jasmine
Evaluate the expression 10−5a+(18−b), where a=2 and b=11.
Which THREE expressions will have the same value?
A
28÷(a×2)
B
20+b−(4×a)
C
49−43+(a÷a)
D
30−25+(b−9)
E
50÷a−(b+20)
Answer:
The three expressions that have the same value is A, C, and D
What is the percent of change if 30 is decreased to 25? Round
your answer to the nearest percent.
Answer:
The percentage change from 30 to 25 is -16.67 %
PLZ PLZ PLZ PLZ HELP - The legs of a right triangle are 3 units and 6 units. What is the length of the hypotenuse? Round your answer to the nearest hundredth.
5.20 units
6.71 units
9.00 units
18.00 units
Answer:
5.20 I think bababsbbsbabbabav
Can you help me find the missing value ratio to equal 3:8
Answer:
the answer is 32
Step-by-step explanation:
mark me as brainliest and follow me
look at the picture attached. I find these questions very difficult I will mark brainliest to however helps me the most
Answer:
to find the total number of miles traveled, you have to add the total distance from point L to point M together. 929+ 595 = 1,524 total miles traveled
to find the average miles per hour, you divide the total miles traveled, by the amount of time it took. 1,524 / 3 = 508 miles per hour
Step-by-step explanation:
Answer:
Step-by-step explanation:
LV to Colorado Springs = 595 miles
Colorado Springs to Mil= 929 miles
Total distance = 1524 miles
Average Speed = 1524 miles / 3 hours
Average Speed = 508 miles / hour
Enter an equation in slope-intercept form for the line below.
4x +y = 2
Y=?
Answer:
y=2-4x
Step-by-step explanation:
move 4X to the other side and change the sign from plus to mines
Answer:
y = -4x + 2
Step-by-step explanation:
[tex]4x+y=2\\\\4x-4x+y=2-4x\\\\y=2-4x\\\\\boxed{y=-4x+2}[/tex]
Hope this helps.
Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!
Round 757,960 to the nearest hundred thousand.
Laura earns $66 washing 6 cars. At this rate, how many cars did Laura wash to earn $88?
Answer:
8 car's for 88$ the same thing for the 6 car's for 66$
Answer:
Laura washed 8 cars to earn $ 88
Step-by-step explanation:
Number of cars : earnings = 6 : 66
6 : 66 :: x : 88
Product of mean = Product of extremes
66 * x = 6 *88
x = [tex]\frac{6*88}{66} = \frac{1*88}{11}[/tex]
x = 8
Can somebody pls help me!
Answer:
What do you need help with
Step-by-step explanation:
I can do math and spanish
help please i need help
Answer:
XZ ≈ 14.4 cm
Step-by-step explanation:
Using the cosine ratio in the right triangle, that is
cos29° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{YZ}{XZ}[/tex] = [tex]\frac{12.6}{XZ}[/tex] ( multiply both sides by XZ )
XZ × cos29° = 12.6 ( divide both sides by cos29° )
XZ = [tex]\frac{12.6}{cos29}[/tex] ≈ 14.4 cm ( to 3 significant figures )
Find the slope and the y-intercept of the graph of the linear equation
y=1/3x-1
Answer:
m=1/3 and y intercept -1
Step-by-step explanation:
what is the slope of the line
Answer:
m = -2/1 or just m = -2
Step-by-step explanation:
The graph of a linear relationship passes through (0, 3), and (3, 9). Which is an equation for this linear relationship?
Step-by-step explanation:
1. First calculate for the gradient m
2. Calculate for the constant C by using any point (0,3) or (3,9)
3. Lastly, put the values found in the equation y = mx + c
1. m = Y2-Y1/X2-X1
=9-3/3-0=2
2. input one point together with m into the equation y=mx+c
3=2(0)+C
C=3
3. Therefore equation of linear relationship is
y = 2x + 3
a baker uses 3.5 pounds of flower daily to make bread how many ounces would he use in one week?
Find the slope pls...
Answer:
A.
Step-by-step explanation:
1. Write down the coordinates of the two points on the line.
(-4,-3) (-1,2)
2. Use the slope formula to find the slope.
Slope formula: y2-y1/x2-x1
2--3/-1--4
Slope: 5/3
Giving you extra points!
What is 10+5
Answer:
15 !!!!
thanks for the points
Answer:
15 lol
Step-by-step explanation:
PLEASE HELP! DUE VERY SOON
PLS HELP ME!!!!!!! I REALLY NEED THIS!!!!!!!
Answer:
ask your teacher
Step-by-step explanation:
ask your teacher
Which set of ordered pairs represents a function
Answer:
b because the Orgin always start with 2 0s