the measure of one side of a square is (s + 3) inches long. which pair of expressions both represent the perimeter of this square
The perimeter of given square is 4(s + 3)
Given that:
One side of square has length = (s+3)
A square is a geometric figure having 4 equal straight sides and all internal angles are of 90 degrees.
Perimeter of a closed figure is a measure of length of all the lines needed to construct that figure.
Perimeter of square of side a is thus a + a + a + a = 4a.
Here given is a = (s+3)
Thus perimeter of given square with side (s+3) is 4(s+3).
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the Jade restaurant has a large aquarium on display in its lobby.The base of the aquarium is 5 feet by 2 feet. The height of the aquarium is 4 feet . How manny cubic feet of water are needed to completely fill the aquarium?
Negative 18=r-3
What r and how did you get it
To solve for r, add 3 to both sides of the equation.
Explanation:To solve for r, you need to isolate it on one side of the equation. Begin by adding 3 to both sides of the equation to cancel out the -3 on the right side. This gives you -15 = r. Therefore, the value of r is -15.
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A global positioning satellite (gps) system uses satellite information to locate ground position. Abu’s surveying firm bought a GPS system for $12500. The GPS is now worth $8600. How many years ago did Abu buy the GPS system? Use k=.062 for the annual rate of decay.
Abu bought the GPS system approximately 6.55 years ago.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
We can use the exponential decay formula to solve this problem.
The formula is:
[tex]A = A_0 \times e^{-kt}[/tex]
Where A is the current value, A0 is the initial value, k is the annual rate of decay, and t is the time in years.
We know that Abu bought the GPS system for $12500,
So,
[tex]A_0[/tex] = 12500.
We also know that the current value of the GPS system is $8600,
So,
A = 8600.
The annual rate of decay is given as k = 0.062.
Plugging these values into the formula, we get:
8600 = 12500 x [tex]e^{-0.062t}[/tex]
Dividing both sides by 12500, we get:
0.688 = [tex]e^{-0.062t}[/tex]
Taking the natural logarithm of both sides, we get:
log (0.688) = -0.062t
Solving for t.
t = ln(0.688) / (-0.062)
t ≈ 6.55 years
Therefore,
Abu bought the GPS system approximately 6.55 years ago.
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Candy at the grocery store is on sale. Mrs. Watkins finds that she can buy 5 candy bars for $2.50. She has a total of 18 kids in her class. How much would it cost for her to buy a candy bar for all the students?
it would cost her $9
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How can the expression 3(4x) + 2(7y) be simplified?
7x + 9y
12x + 9y
12x + 14y
7x + 14y
In a candy store, a $5.00 jar of candy is labeled "50% off " what is the discount? What is the sale price of the jar of candy?
Roger makes $42,000 a year. What is the maximum amount he can afford for a mortgage each month?
Answer:
The answer is 875.00
Step-by-step explanation:
Roger can afford a maximum monthly mortgage payment of $1,505.
An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Lenders typically use a DTI to assess a borrower's ability to repay the loan. The DTI is calculated by dividing the borrower's monthly debt payments (including the mortgage payment) by their gross monthly income.
The maximum DTI ratio allowed for most conventional mortgages is 43%. This means that the total debt payments, including the mortgage payment, cannot exceed 43% of the borrower's monthly income.
To calculate the maximum mortgage payment for Roger, we need to first determine his gross monthly income by dividing his annual income by 12:
= $42,000 ÷ 12
= $3,500
Next, we need to calculate Roger's maximum allowable monthly debt payments by multiplying his monthly income by the maximum DTI ratio:
= $3,500 x 0.43
= $1,505
Let's assume that Roger has no other monthly debt payments:
= $1,505 - $0
= $1,505
Therefore,
Roger can afford a maximum monthly mortgage payment of $1,505.
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how do you find the surface area of a rectangular pyramid?
In the figure, quadrilateral ABCD≅≅ quadrilateral LMNO. Find m. Only type the numerical amount.
A right rectangular prism is 514 in. wide, 1212 in. long, and 4 in. tall.
What is the volume of the prism?
a) 50 in3
b) 65 5/8 in3
c) 260 in3
d) 262 1/2 in3
The correct answer is D, because what he or she was trying to say was 5 1/4 x 12 1/2 x 4, which equals 262 1/2 in³
Your welcome everyone
Determine whether the following sequence is geometric. If so, find the common ratio.
2, 6, 18, 54, ...
A.
The given sequence is geometric. The common ratio is requals=___. (Simplify your answer.)
B.
The given sequence is not geometric.
The given sequence is geometric with a common ratio of 3, which is identified by dividing any term by its preceding term and finding a consistent value.
Explanation:To determine whether the given sequence is geometric, we should check if there is a common ratio between successive terms. A sequence is geometric if each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.
Looking at the sequence 2, 6, 18, 54, ..., we can divide each term by the previous term to find the common ratio.
6 ÷ 2 = 318 ÷ 6 = 354 ÷ 18 = 3Since each term is obtained by multiplying the previous term by 3, we have a common ratio of 3.
Therefore, the given sequence is geometric and the common ratio is 3.
The first and second steps to solve the equation 3x/5 + 5 = 20.Are shown below
3x/5 + 5 - 5 = 20 - 5
3x/5 (5/3) = 15 (5/3)
A.Addition Property of Equality
B.Subtraction Property of Equality
C.Multiplication Property of Equality
D.Division Property of Equality
Answer:
c
Step-by-step explanation:
Let's say we have a square whose sides all measure 14 inches. Determine to two decimal places the dimensions of the square that has twice the area of this square.
The dimensions of the square that has twice the area of the given square is 19.80 in.
What is scaling ?
It is the technique to resize drawing with comparing to actual size of object which uses proportion or ratio. For example, Mapping of earth, drawing prototype of automobiles.
It is given that :
the side of square measure = 14 inches
so the area of square will be :
A = a²
= 14 x 14
= 196 square inches
The square that has twice the area of this square means double the area :
196 x 2 = 392 square inches
To find one side of the square:
A = a²
a = √A
= √392
= 19.80 inches
Therefore, the dimensions of the square that has twice the area of the given square is 19.80 in.
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9,732,005 rounded to the nearest million
What is the obesity threshold weight for a young adult American male?
Answer: answer D for apex
Step-by-step explanation:
Jayden rode his bike 5.75 miles on saturday and 12.4 miles on Sunday. How many miles did he ride his bike both days?
Ted lives 20 miles south and 20 miles west of the city represented on the graph in Example 3. His brother Ned lives 50 miles north of Ted’s house. Give coordinates of each brother’s house
Answer:
mamamo 20 miles
Step-by-step explanation:
Answer:
Ted (20,-20) Ned (20,30)
Step-by-step explanation:
What is the inequality of the problem and the symbol
Find the measure of angles A,B,C,D
how to find the volume of a dimension of a figure
Eric has 58 stamps. Sheena gave 1/4 of her stamps to Eric. After giving 1/5 of his stamps to Raju, Eric still had 96 stamps. Find the total number of stamps Sheena had originally
Sheena originally had 248 stamps as per given condition.
To solve a problem involving basic arithmetic and algebraic reasoning to find the original number of stamps that Sheena had.
Let's start with the second part of the problem to find out how many stamps Eric had after receiving stamps from Sheena and before giving stamps to Raju:
Firstly, if Eric ended up with 96 stamps after giving away 1/5 of his stamps to Raju, we can calculate how many stamps he had before giving them away.
To do so, we can think of 96 as being 4/5 of his total stamps at that time, since he kept 4 parts out of 5.
We can represent this with the equation: (4/5) × total stamps = 96. Solving this gives us a total of stamps = 120.
Next, we know Eric originally had 58 stamps and ended up with 120. The difference must be the stamps Sheena gave him, which was 1/4 of her original total. If we represent Sheena's original number of stamps as S, we can say 58 + (1/4)S = 120.
Lastly, we solve for S: ((1/4)S = 120 - 58), which simplifies to (1/4)S = 62.
Multiplying both sides of the equation by 4 yields S = 248.
Therefore, Sheena originally had 248 stamps.
An online store sold a gift basket at five different prices and recorded the number of gift baskets that were sold at each price. The results are shown in the scatterplot.
Which statement is correct based on the scatterplot?
There is no relationship between price and gift baskets sold because the points do not form a straight line.
There is no relationship between price and gift baskets sold because there are multiple prices at which 80 gift baskets were sold.
There is a relationship between price and gift baskets sold, and the relationship is that as the price increases, the gift baskets sold increases.
There is a relationship between price and gift baskets sold, and the relationship is that as the price increases, the gift baskets sold decreases.
Answer:
d and/ or the other dude
Step-by-step explanation:
There is a relationship between price and gift baskets sold, and the relationship is that as the price increases, the gift baskets sold decreases.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given that an An online store sold a gift basket at five different prices and recorded the number of gift baskets that were sold at each price.
We need to find the correct statement which is represented by the scatterplot.
A scatterplot is a type of data display that shows the relationship between two numerical variables.
As we observe the scatterplot, as the price decreases, the gift baskets sold increases or the price increases, the gift baskets sold decreases..
Hence, there is a relationship between price and gift baskets sold, and the relationship is that as the price increases, the gift baskets sold decreases.
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If g=x-9 and if x=15what isg
if I have 436 baseball cards and 189 football cards.how many more baseball cards than football cards do I need
A car moving at a constant speed travels 88 feet in 2 seconds. Use a proportion to find how many feet it travels in one minute
There are a few ways to increase the rate of a reaction. When the amount of a substance in a given volume is increased, this is altering the__________.
Answer:
Concentration.
Step-by-step explanation:
Concentration: It is define as the amount of substance per unit volume.
Or
Concentration is defined as the ratio of solute in a solution to either solvent or total solution.
Concentration usually is expressed in terms of mass per unit volume.
When the amount of a substance in a given volume is increased then it alter the concentration of reactant.When the concentration of reactant is increase then the rate of reaction increases.Because when the concentration is increases then more ions or molecules interact to form new compounds therefore, the rate of reaction increases.When the concentration of reactant decrease then less number of ions or molecules interact to form new compounds therefore, the rate of reaction decreases.
the sum of a number times 4 and 21 is greater than or equal to 24. use the variable w for the unknown number
Ana participated in a charity walk. She raised $0.25 for each 1/2 mile that she walked.The first day Ana walked 11 miles.The second day, she walked 14 miles.How much money did Ana raised?
After walking for 2 days she raised a total of $12.5.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given, Ana participated in a charity walk. She raised $0.25 for each 1/2 mile that she walked.
Since, for 1/2 miles she earns money = 0.25
Thus,
For 1 mile she will earn a total of money = 0.25* 2
For 1 mile she will earn a total of money = 0.5
Since Ana ran for 2 days, The first day Ana walked 11 miles. On the second day, she walked 14 miles.
So,
Total of miles she walked = 11 + 14
The total of miles she walked = 25
Thus,
She raised a total amount of money = 25 *0.5
She raised a total amount of money = 12.5$
Therefore, after walking for 2 days she raised a total of $12.5.
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1. HEIGHT
You estimate that your friend is 50 inches tall. The actual height of your friend is 54 inches. Find the percent error.
2. Original price: ?
Discount: 75%
sale price: $74.75
(Please EXPLAIN)
ThAnK yOu!!
To find the percent error, subtract the estimate from the actual value, divide the difference by the actual value, and multiply by 100. To find the original price, set up an equation using the formula for finding the sale price and solve for the unknown variable. The percent error is approximately 7.41% and the original price was $299.
Explanation:To find the percent error, you need to compare the estimate to the actual value.
1. Subtract the estimate from the actual value: 54 - 50 = 4.
2. Divide the difference by the actual value: 4 / 54 ≈ 0.0741.
3. Multiply the result by 100 to get the percent error: 0.0741 * 100 ≈ 7.41%
So the percent error is approximately 7.41%.
To find the original price, you can set up an equation using the formula for finding the sale price: Original price - (Discount * Original price) = Sale price.
Let x be the original price. Using the given values, the equation becomes: x - (0.75 * x) = 74.75.
Simplifying the equation, you get: x - 0.75x = 74.75.
Combining like terms, you get: 0.25x = 74.75.
Dividing both sides by 0.25, you get: x = 74.75 / 0.25 = 299.
So the original price was $299.
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