Answer:
B. 22
Step-by-step explanation:
Let x represent number of gallons per hour.
We have been given that a pump adds liquid to the tank at a constant rate. The number of gallons added after 8 hours would be [tex]8x[/tex].
We are also told that the tank starts out with 860 gallons of liquid. So total amount of liquid after 8 hours would be [tex]8x+860[/tex].
The total amount of liquid in the tank after 8 hours is 1,036, so we can represent this information in an equation as:
[tex]8x+860=1,036[/tex]
[tex]8x+860-860=1,036-860[/tex]
[tex]8x=176[/tex]
[tex]\frac{8x}{8}=\frac{176}{8}[/tex]
[tex]x=22[/tex]
Therefore, 22 gallons of liquid were pumped per hour.
Robin can mow a lawn in 3 hours, while Brady can mow the same lawn in 4 hours. How many hours would it take for them to mow the lawn together?
seven twelfths
twelve sevenths
7
12
The time taken by both Robin and Brady will be 12 / 7 hours.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The time taken by both Robin and Brandy will be calculated as follows:-
Total Efficiency = ( 1 / 4 + 1 / 3 )
= ( 4 + 3 ) / 12
= ( 7 / 12 )
Now time taken will be the inverse of the frequency.
Time = 12 / 7 hours
Therefore the time taken by both Robin and Brady will be 12 / 7 hours.
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Estimate 1 7/8 - 1 1/2
The price of an item has been reduced by 20%. The original price was $45. What is the price of the item now?
would a field with a width 75 yards and an area of 7500 square yards be within FIFA regulation?why or why not.
Yes, a field with a width of 75 yards and an area of 7500 square yards would be within FIFA regulation.
Explanation:The area of a rectangle is calculated by multiplying its length by its width. In this case, the width of the field is 75 yards and the area is 7500 square yards. To determine if the field is within FIFA regulation, we need to compare its area to the typical dimensions of a soccer field.
A typical soccer field has a length of 100-130 yards and a width of 50-100 yards. Since the field in question has a width of 75 yards, it falls within the acceptable range. Therefore, the field with a width of 75 yards and an area of 7500 square yards would be within FIFA regulation.
Find the Slope of the points: (-6,5) and (-1, -5)
Joe deposits $20,000 for his retirement in an account with a 7% simple interest rate. How long will it take Joe to earn $14,700 in interest?
Solve the equation. 3(x – 9) = 30
Frank walks at a steady rate of 2.1 miles per hour around his neighborhood. If he walks for 4.2 hours, what is the total distance that he travels?
What value of X makes 13 -(9)= X a true sentence
Charlie runs at a speed of 3 yards per second.about how many miles per hour does Charlie run?
Write an expression that represents the sum of a number and 12
how do you figure out the area of a square of 2m 5m 3m 3m 2m 1m
4,649 dived by 4 can you tell me
what is the place value of 0 in 0.506
ten times the quotient of 104104104 and 88
Abby practiced for 11/12 of an hour and Lauren practiced for 2/3 of an hour. How long did they practice on Wednesday
what is 74 divided by 5476
What is 4/7 of 49
Please explain why
If a jogger runs 2 miles and burns 185 calories, how many calories would he burn jogging 3 miles
The number of calories when he burns jogging 3 miles will be 277.5 calories.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
If a jogger runs 2 kilometers and burns 185 calories, he or she.
Then the number of calories that jogger can burn per mile is given as,
⇒ 185 / 2
⇒ 92.5 calories per mile
The number of calories when he burns jogging 3 miles will be
⇒ 92.5 x 3
⇒ 277.5 calories
The number of calories when he burns jogging 3 miles will be 277.5 calories.
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is 4 a divisor of 150
20(−1.5r+0.75) expand the expression and combine like terms
Answer:
-30r + 15
Step-by-step explanation:
We have been given that
20(−1.5r+0.75)
Use the distributive property a(b+c)=ab+ac.
20×(−1.5r)+20×0.75
Multiplying, we get
-30r +15
These two are not like terms. Hence , we cannot combine them.
Therefore, we cannot simplify it more.
Hence, the simplified expression is -30r + 15
If r = 12 units and x = 13 units, then what is the volume of the cylinder? A. 600 cubic units B. 1,872 cubic units C. 7,488 cubic units D. 156 cubic units
Seven people went to the movies. The number of adults was one more than the number of children. Write a system of equations that represents the number of adults and children. Solve the system algebraically. Interpret the solution. Please help and show your work please and thank you.
WILL GIVE 20 POINTS PLEASE HELP .2. At the grocery store checkout, you watch at the register as it rings up your purchases and coupons. The prices are as follows:
$2.95
$1.19
$4.61
$1.74
$3.04
$8.83
$1.16
− $0.75 (coupon)
− $1.00 (coupon)
The register gives your total bill as $21.77.
(a) Round each price and coupon to the nearest dollar and then estimate the total amount of the bill.
(b) Using your estimate, determine whether the total on the register is reasonable. Justify your answer.
there are 30 major league baseball (MLB) teames and 32 National football League (NFL) teams. The expanded roster for MLB teams is 40 players and it is 53 for NFL teams. How many are in the NFL than in the MLB?
Answer:
I rllly dont know i just want my points
Step-by-step explanation:
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1.)98,464 rounded to the nearest ten thousand is ?
2.)there were 365 days last year. how many days was the petting zoo open?
3.)estimate the divisor by rounding the number of days that that the zoo was open to the nearest hundred?
4.)estimate the quotient. Blank DIVIDED by blank = what
Wally buys 3 pounds of hamburger. How many quarter pound hamburgers can he make?
The ratio of dogs to cats at the pet store is 1:2. There are 15 dogs. How many cats are there?
To find the number of cats at the pet store, set up a proportion using the given ratio of dogs to cats and the number of dogs. Cross multiply to solve for the number of cats.
Explanation:To find the number of cats at the pet store, we need to use the given ratio of dogs to cats. Since the ratio is 1:2 and there are 15 dogs, we can set up a proportion to solve for the number of cats. We can write the proportion as 1/2 = 15/x, where x represents the number of cats. We can cross multiply to find x, which gives us x = 30. Therefore, there are 30 cats at the pet store.
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I just need those two at the top ...
The other one you ca try.
NEED TODAY TIGHT NOW
14. The percentage of change from 35 birds to 45 birds is 59%.
15. The percentage of change from 60 inches to 38 inches is 37%.
17. 1/6 years.
18. 1/4 years.
19. 1/3 years.
20. 1/2 years.
What is a percentage?In Mathematics, a percentage is any number that is expressed as a fraction of hundred (100).
Part 14.
Mathematically, percentage increase can be calculated by using the following mathematical equation:
Percentage increase = (Final value - Initial value)/Initial value × 100
Percentage increase = (45 - 35)/35 × 100
Percentage increase = 10/35 × 100
Percentage increase = 28.57 ≈ 29%.
Part 15.
Mathematically, percentage decrease can be calculated by using the following mathematical equation:
Percentage decrease = (Final value - Initial value)/Final value × 100
Percentage decrease = (60 - 38)/60 × 100
Percentage decrease = 22/60 × 100
Percentage decrease = 36.67 ≈ 37%.
Note; 1 year is equal to 12 months.
In order to express each number of months in years, we would divide the number of month by 12;
Part 17.
Time = 2/12
Time = 1/6 years.
Part 18.
Time = 3/12
Time = 1/4 years.
Part 19.
Time = 4/12
Time = 1/3 years.
Part 20.
Time = 6/12
Time = 1/2 years.
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3/5 pt of juice is poured into 6 glasses.How much juice is in each glass?
Each glass contains 1/10 pt of juice when 3/5 pt of juice is evenly divided into 6 glasses.
To determine how much juice is in each glass when 3/5 pt of juice is poured evenly into 6 glasses, one must divide the total amount of juice by the number of glasses. This is a basic division problem often encountered in converting customary units in real-world situations.
First, convert the pint (pt) measurement to a more convenient unit if needed. In this case, we can keep it in pints since the division is straightforward. Next, divide the 3/5 pt of juice by 6.
Calculate the amount of juice in each glass: 3/5 ÷ 6 = 3/5 × 1/6 = 3/30 = 1/10.
Convert the fraction to pint measurement if necessary: 1/10 pt.
So each glass would contain 1/10 pt of juice.