A car rental agency charges $75 per day, which includes 100 miles. For each mile over 100 miles, there is an additional cost of $0.35 per mile. Write an equation relating
m, the number of miles driven, if the total cost for a one-day rental was $131.
Part A. Write an equation relating m , the number of miles driven, if the total cost for a one-day rental was $131.
Part B. Find the solution to the equation you created in the previous question and explain what the solution means in this situation.
The number of miles, m driven if the total cost for a one-day rental was $131 is; m = 160
According to the question;
The agency charges $75 per day, which includes 100 miles.Additionally, the agency charges $0.35 per mile for each additional mile;a) The equation relating m , the number of miles driven, if the total cost for a one-day rental was $131 is therefore;
$0.35m + $75 = $131.b) To find the solution to the equation;
$0.35m = $131 - $75$0.35m = $56m = $56/$0.35m = 160.
The number of miles, m driven if the total cost for a one-day rental was $131 is; m = 160.
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When the data points on a graph shows a steady trend and it upward direction there is what?
Answer:
An upward trend
Step-by-step explanation:
When data points on a graph show a steady upward trend, it is typically referred to as a "positive correlation" or "positive trend."
We have,
A positive correlation means that as one variable increases, the other variable tends to increase as well.
In other words, there is a positive relationship between the two variables being plotted on the graph.
Positive correlation is often represented by a line that slopes upward from left to right on a scatter plot or graph.
Thus,
When data points on a graph show a steady upward trend, it is typically referred to as a "positive correlation" or "positive trend."
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#SPJ3
A marathon runner covers a distance of 42.2 kilometers in 2 hours and 36
minutes. What was his average speed in kilometers per hour? *
Find the missing angle
Answer:
58 degree
Step-by-step explanation:
the total degree of the three interior angles together of a triangle = 180
here 2 sides are given so to find the 3rd angle we can just add the other 2 angles and subtract it from 180
so it'll be
[tex]65 + 57 = 122[/tex]
[tex]180 - 122 = 58 \: degrees[/tex]
answer = 58 degree
find the values of p and q
If the ordered pairs (p, -1) and (5, q) belong to {(x, y): y = 2x-3}, find the values of p and q.
Solution -Given -
the ordered pairs (p, -1) and (5, q) belong to{(x, y): y = 2x-3)}
To find -
the values of p and qSolution -
{(x, y): y = 2x - 3}
Putting,
x = p and y = -1
[tex]\:\:\:\:\:\implies\:\:[/tex] {(p, -1): - 1 = 2p - 3}
[tex]\:\:\:\:\:\implies\:\:[/tex] -1 + 3 = 2p
[tex]\:\:\:\:\:\implies\:\:[/tex] {2 = 2p}
[tex]\:\:\:\:\:\implies{\tt{\:\:p=\frac{\cancel{2}}{\cancel{2}}}}[/tex]
[tex]\:\:\:\:\:\implies{\boxed{\tt{\:\:p=1}}}[/tex]
{(x, y): y = 2x -3}
Putting,
x = 5 and y = q
[tex]\:\:\:\:\:\implies\:\:[/tex] {(5, q): q = 2(5) - 3}
[tex]\:\:\:\:\:\implies\:\:[/tex] q = 10 - 3
[tex]\:\:\:\:\:\implies{\boxed{\tt{\:\:q=7}}}[/tex]
[tex]\therefore\bf{p=1\:and\:q=7}[/tex]
4+(-2) =
-5 + ( -5 ) =
Answer:
4+(-2) = 2
-5+(-5)=-10
Step-by-step explanation:
guys pls help me!!!!!!!
Answer:
23
Step-by-step explanation:
90 + 67 + x = 180
157 + x = 180
x = 23
To win a trivia game, Nevan must score 90 points. Each correct
answer is worth 1 3/4 points, and each incorrect answer is worth
- 1/4 points. If he gets 58 questions correct and 22 questions incorrect, does Nevan win? How many points does he score?
Answer:
Nevan does not win
He scored 74 points
Step-by-step explanation:
First, find how many points he gets from 58 correct questions:
Multiply 1 3/4 by 58:
58(1.75)
= 101.5
Then, find how many points he loses from 22 incorrect questions:
Multiply -1 1/4 by 22:
22(-1.25)
= -27.5
Then, subtract 27.5 from 101.5 to find how many points he scored:
101.5 - 27.5
= 74
Since he needed 90 points to win, he did not win because he only got 74.
Step-by-step explanation:
If £2000 is placed into a bank account that pays 3% compound interest per year, how much will be in the account after 2 years?
Answer:
we gotta find compound amount here..
CA=compound amount
P=principal
R=rate of interest
T=time
HELOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
Answer:
BBBBBBBB
Step-by-step explanation:
Answer:
B: | 7 |
Step-by-step explanation:
subtract 11 with 4 to get 7, but you keep the rest to show that it has to stay as a positive number.
hope this helps :)
An ostrich was 960meters east of its nest. It ran west at a constant velocity for 160seconds. In that time, it ran halfway to its nest. What was its velocity?
Answer is 3 m/s.
Step-by-step explanation:-The ostrich ran at a constant velocity, so it's velocity was :
[tex]velocity = \frac{distance}{time} [/tex]
It is said that the bird ran for 160 seconds and it made it half-way to its nest, so the distance was :
[tex]distance = \frac{960 \: metres}{time} [/tex]
[tex]distance = 480 \: metres[/tex]
And the velocity is :-
[tex]velocity = \frac{480 \: metres}{160 \: seconds} [/tex]
[tex]velocity = 3 \: m/s[/tex]
Therefore, the ostrich ran at a velocity of 3 m/s .
228 ÷ 2? Help PLEASE ITS MY HOMEWORK
At a carnival game, you randomly throw two darts at the board and break two balloons. There are 15 balloons in total, 4 of them being purple. What is the probability that both the balloons you break are purple? Write your answer as a fraction.
Answer:
1/3.75
Step-by-step explanation:
Figure ABCD is a parallelogram.
What is the perimeter of ABCD?
A
4y - 2
B
3x - 1
122+2
D
2y + 6
O 14 units
O 38 units
044 units
O 49 units
Answer:
38
Step-by-step explanation:
If you divide 78 by 34, will the quotient be greater than or less than 34
?
Use the drop‐down menu to select your answer.
The quotient will be
Less Or greater
than the divisor, 34.
Answer:
The quotient will be less than the divisor, 34.
Step-by-step explanation:
The only way the quotient could be equal to or greater than the divisor if it the number is greater than the divisor squared.
Pls Help
Can i make -14/21 into a whole number?
Answer:
no
Step-by-step explanation:
100 points for the fifth time. show your work!
Use the mapping (x+3, y-5), for the transformation of triangle ABC with vertices A(-2, -4), B(0, 0), and C(1, -3), find the coordinates of the new triangle A’B’C’ . You must show all your work.
PLSSSS HELP ME WITH THIS QUESTION!!!
Answer:
18 since you have 13nd 3 that equal
how many days are there in a month od july
seriously? .... its 31 days
HELLLLLLLLLLLLLLP MEEEEEEEEEEEE
Answer:
Step-by-step explanation:
yesssssssssssssssssssssssssssssssssssssv teeeeeeeeeeeeeeeeeee;llllllllllllllllllllllllllllllllllllllll
Plz help it’s due tonight!!!
Answer:
T = N
Step-by-step explanation:
The surface area in square meters of the human body can be found using the expression √hm/3600 where h is the height in centimeters and m is the mass in kilograms. find the surface area of a 15-year-old boy with a height of 183 centimeters and a mass of 74 kilograms. (√ = square root)
The surface area is a function of height and mass of the body
The surface area of the 15-year-old boy is 1.92 cm square
The given parameter is:
[tex]A = \sqrt\frac{{hm}}{3600}[/tex]
When h = 183 cm ad m = 74 kg
The function becomes
[tex]A = \sqrt{\frac{180 \times 74}{3600}[/tex]
[tex]A = \sqrt{\frac{13320}{3600}[/tex]
[tex]A = \sqrt{3.7}[/tex]
[tex]A = 1.92[/tex]
Hence, the surface area of the 15-year-old boy is 1.92 cm square
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What is the best choice for the common denominator in this problem?
1/5 + 2/6
Answer:
The common denominator is x30
Step-by-step explanation:
Answer:
[tex]30[/tex]
Step-by-step explanation:
The best choice for a common denominator will always be the least common multiple of the two denominators. In this case, the least common multiple of 5 and 6 is 30, so [tex]\boxed{30}[/tex] is the best choice.
The LCM of two numbers is the lowest integer that divides them both evenly
What are the coordinates of the point on the directed line segment from (−8,5) to (4,−3) that partitions the segment into a ratio of 5 to 3?
Answer:
(-0.5, 0)Step-by-step explanation:
Directed line segment from (−8,5) to (4,−3).
Ratio is 5/3.
The required coordinates are:
x = -8 + 5/8*(4 - (-8)) = -8 + 5/8(12) = -8 + 7.5 = -0.5y = 5 + 5/8*(-3 - 5) = 5 + 5/8(-8) = 5 - 5 = 0Rewrite each number without using an exponent.
5. 5 to the second power
6. 12 to the second power
7. 4 to the third power
8. 6 to the 1st power
9. 4 to the 2nd power
10. 100 to the 1st power
5. 25
6. 144
7. 64
8. 6
9. 16
10. 100
What is the value of y for the problem (2y + 20)? ANSWER QUICKLY - I WILL GIVE BRAINLIEST!
Answer:
2(y+10)
Step-by-step explanation:
factor out the common term 2
Answer:
2(y + 10)
Step-by-step explanation:
cannot find y unless this is supposed to equal something, but this is how you factor out the answer. let me know if you have any other questions!
What is the missing integer?
Answer:
2
Step-by-step explanation:
-3-2=-5
its almost like you are doing addition when all the numbers are negative so if u add it together and then and the negative at the end this should help you remember
Answer:
[tex]2[/tex]
Step-by-step explanation:
We want to solve this following equation for [tex]x[/tex]: [tex]-3-x=-5[/tex].
We can add [tex]3[/tex] to both sides of the equation to get [tex]-x=-2[/tex].
We can then divide both sides of the equation by [tex]-1[/tex] to get [tex]x=2[/tex].
So, the missing integer is [tex]\boxed{2}[/tex].
Note: [tex]2=5-3[/tex]. Coincidence?
Classify the system of equations and identify the number of solutions.
2x + y = 5
6x + 3y = 25
inconsistent; one
consistent, dependent; one
consistent, dependent; infinite
inconsistent; none
HELP ASSAP PLS
Step-by-step explanation:
2x + y = 5 (times 3)
6x + 3y = 25
↓↓↓↓↓↓↓↓↓↓↓↓
6x + 3y = 15
6x + 3y = 25
→ No solution ←
2x+y=5
y=-2x+53y=-6x+15--(1)6x+3y=25
3y=-6x+25As slopes are equal lines are parallel
So no solutions
Option D
Mr. Reyes broke his bicycle. He asked Renato to fix it. Renato charged 350 php for the
new parts of the bicycle and 150 php per hour for labor to repair the bicycle. If Renato
spent 4 hours repairing Mr. Reyes’ bike, what is the total amount he needs to pay?
a. What is asked?
b. What are the given numbers?
c. What are the operations needed?
d. Write the number sentence.
e. Solve. Show your solution.
Answer:
950 phpStep-by-step explanation:
a. What is asked?
Find the total amount for repair of the bike.b. What are the given numbers?
350 php for parts and 150 php per hour for labor. Total 4 hours repair duration.c. What are the operations needed?
Multiplication and additiond. Write the number sentence.
Find the labor charge by multiplying the rate by the number of hours and add to the cost of parts.e. Solve. Show your solution.
350 + 150*4 = 350 + 600= 950 phpfind H.C.F of x3 and x2
Answer:
Step-by-step explanation:
joe mamma