Answer:
Lauras step is correct, she rearranged the formula making it :
b^2 = c^2 - a^2
Step-by-step explanation:
Determine if the rates $168 raised for washing 24 cars and $280 raised for washing 40 cars are equivalent. Explain your reasoning.
Solve for c. 36+c=54
54750 divided by 365
A landscaper uses 1225 lb of soil to complete a project. The soil comes in bags that weigh 40 lb each.
How many bags of soil does the landscaper use to complete the project?
(A) 30
(B) 30 5/8
(C) 32 1/8
(D) 35 1/5
Answer: The correct option is (B) [tex]30\dfrac{5}{8}.[/tex]
Step-by-step explanation: Given that a landscaper uses 1225 lb of soil to complete a project and the soil comes in bags that weigh 40 lb each.
We are to find the number of bags of soil that the landscaper use to complete the project.
We will be using the UNITARY method to solve the given problem.
Number of bags with weight 40 lb = 1.
So, the number of bags with weight 1 lb is
[tex]\dfrac{1}{40}.[/tex]
Therefore, the number of bags with weight 1225 lb is given by
[tex]\dfrac{1225}{40}=\dfrac{245}{8}=30\dfrac{5}{8}.[/tex]
Thus, the required number of bags is [tex]30\dfrac{5}{8}.[/tex]
Option (B) is CORRECT.
what is 37493 decreased by 8,500
Thomas reads 2/9 of a book in Monday and 1/6 of it on Tuesday.He reads twice as many pages on Wednesday as on Tuesday.What fraction of the book is not read
Can you translate a image however far you want it on a graph
The price of a pair of headphones is $39.99 before tax. Dalton bought the headphones for 30% off. He then paid 6% sales tax on the discounted price. Part A: How much did Dalton pay in sales tax? Show all work and steps in your solution. (5 points) Part B: What is the total amount that Dalton paid for the headphones? Show all work and steps in your solution. (5 points)
Answer
She paid 17.99 in sales tax
Step-by-step explanation:
2x + 3y = 5x - y complete the missing value in the solution to the equation
Answer:
The missing value is(0,0)
Step-by-step explanation:
The complete question is:
2x+3y=5x-y
Complete the missing value in the solution to the equation.
( ,0)
Solution:
We have given:
2x + 3y = 5x - y
Combine the like terms:
2x-5x= -y-3y
-3x = -4y
Both negative signs will be cancelled out by each other.
So we have,
3x = 4y
We have given y = 0
Then
3x = 4*0
3x= 0
Divide both sides by 3
3x/3 = 0/3
x = 0
y=0
Therefore missing value is(0,0)
Answer:
The missing value is 0.
Step-by-step explanation:
Given : Expression [tex]2x + 3y = 5x - y[/tex]
To find : Complete the missing value in the solution to the equation (_,0) ?
Solution :
Write the expression,
[tex]2x + 3y = 5x - y[/tex]
Take like terms together,
[tex]3y+y = 5x-2x[/tex]
[tex]4y=3x[/tex]
Now substitute y=0,
[tex]4(0)=3x[/tex]
[tex]3x=0[/tex]
[tex]x=0[/tex]
So, The required point is (0,0).
Therefore, the missing value is 0.
what is 1,864.29 rounded to the nearest one
Which greater 9.28 or 9.3
the product of 7 and p
A moving company charges $840 plus$17 per hour. Another moving company charges$760 plus $22 per hour. How long is a job that costs the same no mater which company is used?
equation= 840+17x=760+22x
To find the length of the job that costs the same regardless of the moving company used, solve the equation 840 + 17x = 760 + 22x. The job would need to be 16 hours long.
Explanation:To determine the length of the job that costs the same regardless of the moving company used, we need to solve the equation 840 + 17x = 760 + 22x, where x represents the number of hours.
First, we subtract 760 from both sides: 840 + 17x - 760 = 760 + 22x - 760, which simplifies to 80 + 17x = 22x.
Next, we subtract 17x from both sides: 80 + 17x - 17x = 22x - 17x, resulting in 80 = 5x.
Finally, we divide both sides by 5 to solve for x: 80 ÷ 5 = 5x ÷ 5, giving us x = 16. Therefore, the job would need to be 16 hours long to cost the same regardless of the moving company used.
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What is the simplified form of this equation :
135(z^{0} )
The simplified from of expression; which is obtained by performing mathematical operations to the expression and convert it to its standard form. Hence, the simplified form of 135(z^{0} ) is 135.
What is simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression. Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form. Simplification usually involves making the expression simple and easy to use later.
We need to find the simplified form of this equation :
135(z^{0} )
Since we know that any power of 0 is 1. So, z to the power of 0 is going to be one.
135(z^{0} ) = 135(1 )
135^1 = 135
The simplified from of expression; which is obtained by performing mathematical operations to the expression and convert it to its standard form. Hence, the simplified form of 135(z^{0} ) is 135.
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the answer and how to work it out
on Saturday 12 friends go ice skating altogether they pay $83.40 for admission they share the cost equally how much does each person pay
olivia filled 6 baskets of strawberries. later she combined the fruit evenly into 3 larger boxes. if all 3 boxes sold for $42, how much did each box of strawberries cost?
The cost of each box of strawberries is $14.
What is division?Division is breaking a number up into an equal number of parts.
Given that, 3 boxes of strawberries sold for $42,
3 boxes = $42
1 box = $42/3 = $14
Hence, The cost of each box of strawberries is $14.
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A swimming pool holds 12,500 gallons of water at the start of the day. A valve at the bottom of the pool releases water into a cleaning tank at a constant rate of 20 gallons per hour. A hose is running water into the pool at a constant rate of 60 gallons per hour. On one day, the hose was running for 3 hours, and the valve was left open for 6 hours. How much water is in the pool at the end of the day?
The solution of the equation 2d - 6 = 5 is _____.
-1/2
1/2
5 1/2
1 1/2
Answer:
5 1/2
Step-by-step explanation:
Kit bought a soft drink and a sandwich for $9.00. What was the price of each if the sandwich cost 3.5 times as much as the soft drink?
The required cost of the soft drink is given as $5.5 that Kit bought.
Given that,
Kit bought a soft drink and a sandwich for $9.00. What was the price of each if the sandwich cost 3.5 times as much as the soft drink is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Let the price of the soft drink be x,
total cost = 9
x + 3.5 = 9
x = 9 - 3.5
x = 5.5
Thus, the required cost of the soft drink is given as $5.5 that Kit bought.
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The cost of the soft drink is $2, and the cost of the sandwich is $7.
To solve the problem of determining the cost of both the soft drink and the sandwich that Kit bought for $9.00, we can set up an algebraic equation. If we let s represent the price of the soft drink, then the sandwich would cost 3.5 times as much, which can be represented as 3.5s. According to the information given, the total cost for both is $9.00, so our equation will be s + 3.5s = 9. Combining like terms, we have 4.5s = 9. To find the price of the soft drink (s), we divide both sides of the equation by 4.5, resulting in s = 2. Therefore, the soft drink costs $2, and the sandwich costs 3.5 times that, which means the sandwich costs $7.00.
Tiara has $2,000 in her savings account. David has one-tenth as much as Tara in his savings account. How much does David have
What are
the factor pairs for 60
The factor pairs are (1, 60), (2, 30), (3, 20), (4, 15), (5, 12), and (6, 10) of the number 60.
What is Number system?A number system is defined as a system of writing to express numbers.
To find the factor pairs of 60
we need to list all the possible pairs of two positive integers that can be multiplied to give 60.
1 x 60 = 60
2 x 30 = 60
3 x 20 = 60
4 x 15 = 60
5 x 12 = 60
6 x 10 = 60
Therefore, the factor pairs of 60 are (1, 60), (2, 30), (3, 20), (4, 15), (5, 12), and (6, 10).
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A game room has a floor that is 400 feet by 90 feet. A scale drawing of the floor on grid paper uses a scale of 1 unit:5 feet. What are the dimensions of the scale drawing? Enter your answer as length by width.
Answer:
80 units by 18 units
Step-by-step explanation:
Find the number of feet represented by 1 unit in the drawing.
1 unit ÷ 1
5 feet ÷ 1
=
1 unit
5 feet
1 unit in this model is about 5 feet in the actual room.
Find the width of the scale model represented by 90 feet in the actual room.
1 unit × 18
5 ft × 18
=
18 units
90 ft
The width of the scale model represented by 90 feet in the actual room is 18 units.
Find the length of the scale model represented by 400 feet in the actual room.
1 unit × 80
5 ft × 80
=
80 units
400 ft
The length of the scale model is 80 units.
The scale model is 80 units by 18 units.
Jakob is tiling a newly finished room.He estimates that he tiles about 9 square ft every 3/4 hour. About how many sq ft can he tile per hour
the mass of a jar of sugar is 1.9 kg what is the total mass of 13 jars of sugar
Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the daily amount Charlie paid for the truck if he drives it x miles.
This question pertains to creating a linear equation for calculating the cost of renting a truck based on a daily fee plus a per-mile fee, an application of algebra in real-world scenarios such as vehicle rentals.
Explanation:The question provided involves creating or understanding a linear equation that models the cost associated with renting a truck based on a daily fee and a per-mile fee. A similar concept is seen in the provided examples like Aaron's Word Processing Service, where the cost depends on the number of hours and includes a one-time charge.
The equation to calculate the total cost for Charlie's truck rental would take the form y = mx + b, where y represents the total cost, m is the per-mile fee, x is the number of miles driven, and b is the daily fee. This type of problem utilizes basic algebra to model real-world scenarios such as vehicle rentals, which is an important aspect of personal finance and decision-making skills.
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A fun run has 216 male runners, the male runners make up 48% of all runners in the fun run. How many people are running in the fun run?
What is the relationship between the 5s in the number 755,371
You've been hired to plan a New Year's Eve party at the Governor's Mansion. The Mansion Charges: $1, 250 plus $20 per person.
I. Write an equation that can be used to the determine the cost of the party. Define the variables.
II. What is the cost if there is 300 people attending the party?
III. Represent the previous answer in a graph. ( Count by intervals of 50)
IV. There are 750 people who attended the party. Daryl said the cost will be $16,500. Is he correct ? Explain why or why not. Prove your answer by showing your work and including detailed reasoning.
what minus what equals 500