Final answer:
Fred paid $1.29 per gallon for his gas. Ronnie can estimate his gas expenses for an 11-week term by calculating the total weekly miles, determining the gallons used per week, the weekly gas cost, and then multiplying by the number of weeks. Ronnie's estimated gas cost for the term is around $66.06.
Explanation:
To calculate how much Fred paid per gallon of gas, we divide the total amount spent by the number of gallons used. Fred paid $72 and used 56 gallons of gas. To find the cost per gallon we use the formula:
Cost per gallon = Total cost \/ Number of gallons
Cost per gallon = $72 \/ 56 gallons = $1.29 per gallon
Now, let's address Ronnie's situation. We can estimate the amount of money Ronnie will spend on gas during the term by following these steps:
Calculate the total miles he will drive in a week by multiplying the round-trip distance to campus (14.2 miles) by four (the number of times he drives to campus and back in a week).
Determine how many gallons of gas he will use per week by dividing total weekly miles by his car's fuel efficiency (27 MPG).
Calculate the weekly cost of gas by multiplying the gallons of gas used per week by the current price per gallon ($2.86).
Finally, multiply the weekly gas cost by the number of weeks in the term (11 weeks) to find the total cost for the term.
Ronnie's total estimated gas costs for the term can be computed as follows:
Total weekly miles = 14.2 miles x 4 = 56.8 miles per week
Gallons of gas per week = 56.8 miles \/ 27 MPG = approximately 2.10 gallons per week
Weekly gas cost = 2.10 gallons x $2.86 = $6.006 per week
Total cost for the term = $6.006 per week x 11 weeks = $66.06 for the term
Thus, Ronnie can expect to spend around $66.06 on gas for his commute during the 11-week term.
Deanna,Amy, and Pam pick the same number of peaches at an orchard. They each set their peaches in four equal piles with6 peaches in each pile. Write a multiplication that shows how many peaches they picked
Which ordered pairs match the mapping diagram?
A) (1, 0), (7, 2), (3, 4), (-1, 1), (-7, -6)
B) (0, 1), (2, 7), (3, 4), (-4, 1) , (-6, 7)
C) (0, 1), (0, 4), (0, 7), (2, 7), (-6, 7)
D) (0, -1), (2, -7), (-3, 4), (4, 1), (6, 7)
Find each function value F(-7) if f(x)=8x+15
To find the value of f(-7), substitute -7 into the function f(x) = 8x + 15. The value of f(-7) is -41.
Explanation:To find the value of f(-7), we substitute -7 into the function f(x) = 8x + 15.
f(-7) = 8(-7) + 15 = -56 + 15 = -41.
Therefore, the value of f(-7) is -41.
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Jeff left 4/5 of the pumpkin pie in the refrigerator on Saturday he ate 1/2 if what was left of the pie what fraction of the entire pie did he eat on Saturday
Jeff ate 2/5 of the entire pumpkin pie on Saturday, calculated by multiplying 1/2 by the 4/5 which was left in the refrigerator.
The question asks what fraction of the entire pumpkin pie Jeff ate on Saturday if he left 4/5 of it in the refrigerator and then ate 1/2 of what was left. To solve this, we'll calculate the fraction of the pie he consumed using multiplication.
He started with 4/5 of the pie left. Eating 1/2 of what was left means he consumed 1/2 of 4/5, which can be calculated as:
(1/2) times (4/5) = 4/10 = 2/5
Jeff ate 2/5 of the entire pumpkin pie on Saturday.
Jorge bought a mechanical pencil for $8. A lead and eraser refill pack costs $2. Write a linear function to describe the cost of using the pencil as a function to describe the cost of using the pencil as a function of the number of refill packs.
Final answer:
The linear function to describe the cost of using the pencil as a function of the number of refill packs Jorge buys is C(x) = 8 + 2x, where C(x) is the total cost and x is the number of refill packs.
Explanation:
Jorge bought a mechanical pencil for $8, and each lead and eraser refill pack costs $2. To describe the cost of using the pencil as a function of the number of refill packs, we can write a linear function. The initial cost of the pencil is a fixed cost, and the cost of each refill pack is a variable cost.
Let's let x represent the number of refill packs, and C(x) represent the total cost of using the pencil. The linear function for the cost would then be:
C(x) = 8 + 2x
Here, $8 represents the fixed cost (the cost of the pencil), and $2 is the cost per refill pack, so 2x represents the variable cost (the cost of x refill packs).
Final answer:
The linear function that describes the cost of using the pencil as a function of the number of refill packs is Cost(x) = 8 + 2x.
Explanation:
To write a linear function that describes the cost of using the mechanical pencil as a function of the number of refill packs, we need to consider the initial cost of the pencil and the cost of each refill pack.
Let's assume x represents the number of refill packs.
The initial cost of the pencil is $8, which remains constant regardless of the number of refill packs.
The cost of each refill pack is $2, and it increases linearly as the number of refill packs increases.
Therefore, the linear function that describes the cost of using the pencil as a function of the number of refill packs is:
Cost(x) = 8 + 2x
The distance between Oswego and Syracuse is 40 miles. if the car travels 8 miles from Oswego toward Syracuse and then stops, What percent of the trip between the cities did the car complete?
Answer:
The car completed 20% of the trip between the cities.
Step-by-step explanation:
The distance between Oswego and Syracuse = 40 miles
The car traveled from Oswego towards Syracuse = 8 miles
We have to calculate the percentage of the trip that the car completed.
8 miles out of 40 miles = [tex]\frac{8}{40}[/tex]
To calculate we have to multiply it by 100 and put the mark of percentage.
[tex]\frac{8}{40}[/tex] × 100
= 0.2 × 100 = 20%
The car completed 20% of the trip between the cities.
maria lives two and three fourths from her after school job. She rode her scooter from school to her job and back home. How far did Maria ride?
An adult African elephant weighs 8.25 tons, how much do 27 elephants weigh
The gas tank in your family's car was 7/8 full when you left your house. When you arrived at your destination, the tank was 1/4 full. What fraction of a tank of gas did you use during the trip? ASAP IF YOU ANSWER YOU WILL BE MARKED BRAINLIEST!!!!!
For any nonzero real number a, the __________ of a is 1 over 8 .
integer
whole number
multiplicative inverse
absolute value
What is an equivalent expression for 5(3x-2)
Manny makes dinner using 1 box of pasta and 1 jar of sauce. If pasta is sold in packages of 6 boxes and souce is sold in packages of 3 jars, what is the least number of dinners that Manny can make without any supplies leftover?
Flyers are folded into thirds before being stapled and mailed. If a page is 11 inches long, how wide is each section?
Answer: The width of each section is [tex]3\frac{2}{3}\ inches[/tex] .
Step-by-step explanation:
Since we have given that
Length of a page = 11 inches
According to question, Flyers are folded into thirds before being stapled and mailed.
So, Width of each section is given by
[tex]\frac{11}{3}\\\\=3\frac{2}{3}\ inches[/tex]
Hence, the width of each section is [tex]3\frac{2}{3}\ inches[/tex] .
how to convert 3,090 grams to kilograms
Assume that advanced students average 93% on an achievement test and regular students averaged 75%. If 100 advanced students and 300 regular students took the test, what would you expect the average to be? How many of each kind of student would be needed to get a group of 90 students who average 87% on the test? Please include work/explaination, I along with a few of my classmates are confused by this problem. We are in a chapter about systems of equations.
Multiply.
653.8 × 0.02
A.
13,076
B.
1,307.6
C.
130.76
D.
13.076
Allison took 112 photos on vacation. she wants to put them in a photo album that holds 4 photos on each page .how many pages can she fill.?
The temperature in salt lake city was -10.6 degree c.which absolute value equation best describes how many degrees the temperature was below 0 degree c
Answer:
i know what question this is, thw answer is D, or |-10.6 = -10.6
What is the answer to 5 + 1 x 10=
Answer: The simplified answer is 15.
Explanation:
Since we have given that
[tex]5+1\times 10[/tex]
As we know about the BODMAS rule,
Where B stands for brackets
D stands for division
M stands fro Multiplication
A stands for addition
S stands for subtraction
So, in this expression, we first use the multiplication operation and then addition as shown below:
[tex]=5+1\times 10\\\\=5+10\\\\=15[/tex]
Hence , the simplified answer is 15.
Write the mixed number as a fraction 4 1/3, 1 2/5, 3 2/3
What is 15% of 15% of 15% of 500 how does this compare to finding 45% of 500
Write a real-world problem that can be solved using this equation 5x=3x+20
A bakery used 2 cups of flour to make a full size cake. If they wanted to make a cake that was 0.23 the size, how many cups of flour would they need?
Explain how you know that 15/30 is greater than 1/3 but led than 2/3?
Express 750g as a percentage of 1.5kg.
The correct answer for [tex]750[/tex]g as percentage of [tex]1.5[/tex]kg is ,[tex]750[/tex]g is [tex]50[/tex]% of [tex]1.5\\[/tex]kg.
To express 750g as a percentage of 1.5kg, convert both quantities to the same unit of measurement.
Since both grams (g) and kilograms (kg) are units of mass,
convert 1.5kg to grams:
[tex]1[/tex] kg = [tex]1000[/tex] g
=[tex]1.5*1000[/tex]
= [tex]1500[/tex] g
To express [tex]750[/tex]g as a percentage of [tex]1500[/tex]g,
Percentage = (Part / Whole) * 100
Percentage = [tex]\dfrac{750}{1500}*100[/tex]
Percentage = [tex]0.5*100[/tex]
Percentage = [tex]50[/tex]%
The correct answer is [tex]750[/tex]g is [tex]50[/tex]% of [tex]1.5[/tex]kg.
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which three of the following are correct
1/5 < 1/4
2/3= 5/9
1/3 = 2/6
3/4> 6/10
2/3 > 4/5
what strategy can I use to solve 6x7 and 3x9?
the number between 33.01 is added to the list so that the new list is still in numerical order between which two numbers should 33.1 be placed
A number is written with the following factorization: 2^2 X 3 X 5^4 X 8 X 11^2. Is this factorization a prime factorization? Explain why or why not. If it is not correct, give the correct prime factorization of the number.
Considering the definition of prime number, prime factorization and a property of the potentiation, this factorization is not a prime factorization. The prime factorization is expressed as: 2⁵× 3× 5⁴× 11²
In the first place, a prime number is a natural number greater than 1 that has only two different divisors: itself and 1. That is, a prime number is an integer greater than 1 that is only divided exactly by 1 and itself .
On the other side, the "factors" are the numbers that you multiply together to get another number.
So "factoring into primes" is figuring out what prime numbers you have to multiply together to get the original number.
That is, factoring in prime numbers is writing any number as the multiplication of prime numbers, regardless of the order of the factors.
In this case, you have the factorization: 2²× 3× 5⁴× 8× 11²
This factorization is not a prime factorization. 2,3,5 and 11 are prime numbers, but 8 is not a prime number. This last number can be factored as:
8= 2³
Then, the factorization is expressed as: 2²× 3× 5⁴× 2³× 11²
A property of the potentiation expresses that the product of powers of equal base results in the same base raised to the sum of the exponents of each factor. In this case, 2² and 2³ are two powers with the same base, so the power is expressed as:
2²× 2³= 2²⁺³= 2⁵
Finally, the prime factorization is expressed as: 2⁵× 3× 5⁴× 11²
Learn more:
https://brainly.com/question/11709591?referrer=searchResultshttps://brainly.com/question/10371102?referrer=searchResultshttps://brainly.com/question/13315667?referrer=searchResultsThe given number is not in prime factorization due to the presence of '8'. The correct prime factorization is '2^5 X 3 X 5^4 X 11^2'.
Explanation:The number given in the question is not expressed in its prime factorization due to the presence of '8' which is composite number and can be broken down further. In fact, the number '8' can be represented as '2^3'. So, if we modify this in the original expression, it would change to 2^2 X 3 X 5^4 X 2^3 X 11^2. Simplifying this, we get 2^5 X 3 X 5^4 X 11^2, which is the correct prime factorization. A prime factorization only includes prime numbers, which are numbers that have exactly two distinct positive divisors: 1 and the number itself.
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The ratio of 7th grade students to 8th grade students in a soccer league is 17:23. If there are 200 students in all, how many are in 7th grade?
With the help of ratios, we know that 85 students are enrolled in the 7th grade and 115 students are enrolled in the 8th grade.
What is the ratio?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.So, first, add the raions and then multiply the fractions with total students as follows:
17 + 23 = 407th grade:
200 × 17/40 = 858th grade:
200 × 23/40 = 115So, with the help of ratios, we know that 85 students are enrolled in the 7th grade and 115 students are enrolled in the 8th grade.
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