4p+8=12p-16????????????
2. A pool company is trying out several new drains. Drain A empties a pool at a rate of 2 gal/min. Drain B empties a pool at a rate of 5 gal/min. One pool has 108 gal of water in it. Write an equation for each drain that shows the amount of time it takes to empty the pool. Then solve each equation showing your work.
Answer:
Drain A [tex]54\ min[/tex]
Drain B [tex]21.6\ min[/tex]
Step-by-step explanation:
Let
x------> the time in minutes
y-----> the volume of the pool in gallons
we know that
The equation that represent the situation is equal to
[tex]y=mx[/tex]
solve for x
[tex]x=y/m[/tex]
Drain A
[tex]x=y/m[/tex]
In this case we have
[tex]m=2\frac{gal}{min}[/tex]
[tex]y=108\ gal[/tex]
substitute
[tex]x=108/2=54\ min[/tex]
Drain B
[tex]x=y/m[/tex]
In this case we have
[tex]m=5\frac{gal}{min}[/tex]
[tex]y=108\ gal[/tex]
substitute
[tex]x=108/5=21.6\ min[/tex]
A pencil Company used 60 grams of rubber to make 10 pencils how many pencils can be made with 50 grams of rubber
with 50 grams of rubber, you can make approximately 8 pencils.
To solve this problem, we need to set up a proportion to find out how many pencils can be made with 50 grams of rubber.
Let's set up the proportion using the given information:
[tex]\[\frac{\text{Grams of rubber}}{\text{Number of pencils}} = \frac{60}{10} = \frac{50}{x}\][/tex]
Where:
- 60 grams of rubber is used to make 10 pencils.
- 50 grams of rubber is the amount we have.
- x is the number of pencils we want to find.
Now, let's solve for x:
[tex]\[\frac{60}{10} = \frac{50}{x}\][/tex]
Cross multiplying:
60x = 500
Dividing both sides by 60:
[tex]\[ x = \frac{500}{60} \][/tex]
x = 8.333
Since you can't make a fraction of a pencil, we need to round down to the nearest whole number because you can't make a fraction of a pencil. Therefore, with 50 grams of rubber, you can make approximately 8 pencils.
The probable question maybe:
A pencil Company used 60 grams of rubber to make 10 pencils how many pencils can be made with 50 grams of rubber?
Bill and,Alyssa helped pack books to donate to a charity. Bill packed 28 boxes with 30 books in each box. Alyssa packed 31 boxes with 25 books in each box. How many more books did Bill pack? show your work.
a triangle has base 7m and area 17.5 m^2 . what is the height?
a certain truck carry 3450 pounds each bible weighs 3 fourths how many bibles can be carried
Jade used Fraction 3 over 4 yard of fabric to make a scarf. Can she make 2 of these scarves with Fraction 1 and 4 over 5 yards of fabric, and why?
A. No, because the quotient of Fraction 3 over 4division signFraction 1 and 4 over 5 is 1 and 7 over 20
B.No, because the quotient of Fraction 1 and 4 over 5Division signFraction 3 over 4 is 1 and 7 over 20
C.Yes, because the quotient of Fraction 3 over 4division signFraction 1 and 4 over 5 is 2 and 2 over 5
D.Yes, because the quotient of Fraction 1 and 4 over 5Division signFraction 3 over 4 is 2 and 2 over 5
Answer:
The answer is D:)
Step-by-step explanation:
1) make a trail mix with 5 ingredients. they should make exactly 10 cups but the
ALL THE INGREDIENTS SHOULD BE DIFFERENT MIXED NUMBERS
Multiplying a number by 4/5 then dividing by 2/5 is the same as multiplying by what number?
A football team receives the ball on their own 10 yard line. They make a gain of 15 yards in the first play. What yard line is the ball on?
Final answer:
The football team starts at their own 10 yard line, and after a gain of 15 yards, the ball is on the 25 yard line.
Explanation:
The question is about calculating the new position of a football on the field after a team makes a gain. Initially, the football team starts with the ball on their own 10 yard line. After making a gain of 15 yards in the first play, we can determine the new yard line position by simply adding the gain to the starting position.
Step-by-Step Calculation:
Starting yard line: 10 yards.
Gain made: 15 yards.
Calculate the new yard line position: Starting yard line + Gain made = 10 yards + 15 yards = 25 yards.
Therefore, after the gain, the ball is on the 25-yard line.
At your construction job, you're standing on a ladder at ground level. First, you climb down 7 feet to see the basement. Then you climb up 22 feet to see the second floor. Later, you climb down 9 feet. How high above or below the ground are you?
A garden snail moves 1/6 foot in 1/3 hour. What is his rate in feet per minute?
Find 3 multiple 1,789 how is multiplying a 3 digit number like multiplying a 4 digit number
Multiplication is a method of finding the product of two or more numbers5367 is the 3 multiple 1,789
What is Multiplication?
Multiplication is a method of finding the product of two or more numbers
We need to find 3 multiple 1,789
Three times of one thousand seven hundred eighty nine.
1789 has four digits and 3 has only one digit.
We have to multiply one digit number with all the four digits
1789
× 3
_________
5367
Hence 5367 is the 3 multiple 1,789.
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Find the sum of 136 + 212. Explain why you did or did not regroup.
Sandy works at a clothing store. She makes $7 per hour plus earns 15% commission on her sales. She worked 74 hours over the last two weeks and had a total of $1,678 in sales before taxes.
Which of the following is closest to how much she will earn in hourly wages and commission for those two weeks?
Sandy's total earnings before taxes for the two weeks will be $769.70, which includes $518 from her hourly wages and $251.70 from her sales commission.
To solve how much Sandy will earn in hourly wages and commission over two weeks of work at a clothing store, where she makes $7 per hour and earns a 15% commission on her sales of $1,678, we first calculate her hourly wages: Sandy worked 74 hours, and at $7 per hour, her earnings from hours worked are 74 hours x $7/hour = $518.
Next, we calculate her commission earnings: 15% of $1,678 in sales is 0.15 x $1,678 = $251.70.
Adding both earnings gives us Sandy's total earnings before taxes, which is $518 + $251.70 = $769.70.
Given ΔRST : ΔLMN, which of the following is true
1.
The answerto you question is the third one
a group of girls wants to buy a soda. the soda cost $1.25. how much sodas can they buy with 20 dollars? Make a chart to show your ANSWER
The group of girls can purchase 16 sodas with $20. Because each soda costs $1.25, we find this by dividing the total amount of money ($20) by the cost of each soda ($1.25)
Explanation:The question is asking how many sodas a group of girls can buy with $20 if each soda costs $1.25. To find this out, you need to divide the total amount of money they have ($20) by the cost of each soda ($1.25). Therefore, $20 divided by $1.25 equals 16, so the girls can buy 16 sodas with $20. Here is a chart to illustrate this:
$1.25 - 1 soda$2.50 - 2 sodas$3.75 - 3 sodas...$18.75 - 15 sodas$20 - 16 sodasLearn more about Division here:https://brainly.com/question/34253396
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Describe the steps you would follow to write a two-step inequality you can use to solve a real-world problem. & Write a situation for 15x - 20 < 130
a sum of money is divided in the ratio 4:3 if the smaller share is ,€45 what is the sum of money
16x+5=-11 what is the solution?
Use properties of addition to find 37 + 58 mentally.
if the body makes 100 billion new blood cells each day,approximately how many blood cells can it make each hour
what is 1/8 converted to percent
To write a fraction as a percent, first remember that a percent is a ratio of a number to 100. If we want to write [tex]\frac{1}{8}[/tex] as a percent, we need to find a fraction equivalent to [tex]\frac{1}{8}[/tex] that has a 100 in the denominator. We can do this by setting up a proportion.
[tex]\frac{1}{8}[/tex] = [tex]\frac{n}{100}[/tex]
Now, we can use cross products to find the missing value.
8n = 100
÷8 ÷8 ← divide by 8 on both sides
n = 12.5
Therefore, [tex]\frac{1}{8}[/tex] is equal to [tex]\frac{12.5}{100}[/tex] or 12.5%.
a skateboard has probability of a 0.015 defective wheel. what is the probability of it not having a defective wheel
Use doubles minus one to solve 8 + 7
how do i find the unit cost of $12 for 4 yd2
To find the unit cost of $12 for 4 yd2, divide the total cost by the number of square yards, resulting in a unit cost of $3 per yd2.
Explanation:To find the unit cost of $12 for 4 yd2, you should divide the total cost by the number of units. In this case, you divide $12 by 4 yd2 to find the cost per square yard. This gives you a unit cost of $3 per yd2.
Here's the step-by-step calculation:
Write down the total cost and the total area: $12 for 4 yd2.Divide the total cost by the total area to find the unit cost: $12 ÷ 4 yd2 = $3 per yd2.This is a simple division problem that involves unit conversion and understanding fractions. When you perform the division, the units of yd2 remain, indicating the cost is per square yard.
Final answer:
To find the unit cost of $12 for 4 yd2, divide the total cost by the number of square yards, which results in $3 per square yard.
Explanation:
To find the unit cost per square yard when given a total cost for a certain number of square yards, you would divide the total cost by the number of square yards. In this case, the question is asking how to find the unit cost of $12 for 4 yd2.
Using simple division, take the total cost of $12 and divide it by the number of square yards, which is 4. This can be set up as a fraction: $12/4 yd2. When you divide 12 by 4, you get 3. Thus, the unit cost is $3 per yd2.
To understand this better, we can think of the 4 yd2 as a fraction, 4yd2/1, where we have 1 in the denominator. By dividing the total cost by the number of square yards, we are finding the price per single unit of area. Division is the mathematical operation used here, and after dividing, we find that each square yard costs $3.
which is another way to write 12x10 exponent 3
I have 4 times as many hats as my brother. Together we have 50 hats. How many hats do we each have?
three divided by 42 showing long division way
A math book is 1 and 1/2 inches thick. How many math books will fit on a shelf that is 2 feet long?
Answer:
20 books NOW WHERE IS MY BRAINLY CROWN
Step-by-step explanation: