what is the supplementary angle of 32

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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It is given that the area of the circular garden = 100 [tex]ft^2[/tex]

Area of circle with radius 'r' = [tex]\pi r^2[/tex]

We have to determine the approximate distance from the edge of Frank’s garden to the center of the garden, that means we have to determine the radius of the circular garden.

Since, area of circular garden = 100

[tex]\pi r^2 = 100[/tex]

[tex]\frac{22}{7} \times r^2 = 100[/tex]

[tex]r^2 = \frac{700}{22}[/tex]

[tex]r^2 = 31.8[/tex]

[tex]r = \sqrt{31.8}[/tex]

So, r = 5.6 ft

r = 6 ft (approximately)

Therefore, the approximate distance from the edge of Frank’s garden to the center of the garden is 6 ft.

So, Option A is the correct answer.

The given garden is circular in shape with area 100 square feet.

Area of the garden = πr²

Given area = 100 square feet

Hence,

[tex]3.14r^{2}=100[/tex]

[tex]r^{2}=\frac{100}{3.14}[/tex]

[tex]r^{2}=31.847[/tex]

r=[tex]\sqrt{31.847}[/tex]

= 5.6433 which is approximately 6.

Hence, option A = 6 ft is the answer.

Answer:

Step-by-step explanation:

what 9x11

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.

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

Let us try to explain each option one by one.

a) a street has a width of 5 meters

This is quite reasonable as the width of street can be approximately 5 meters.

b. a cat has a mass of 5 grams

The mass of a newborn cat is 99 grams. So no cat can weigh 5 grams, as its too small.

c.a swimming pool has a capacity of 5 liters

5 liters is too small quantity for a small sized swimming pool too.

d. a beetle has a mass of 5 kilograms

A beetle is a small creature measuring mostly in grams.

So answer is option a. a street has a width of 5 meters

Answer: answer D for apex

Step-by-step explanation:

The best estimate for the number of ounces of water needed when a recipe calls for 1/3 cup is approximately 2.67 ounces.

The best estimate of the number of ounces that are needed is calculated as follows;

To determine the number of ounces needed when a recipe calls for 1/3 cup of water, we can use the fact that there are 8 ounces in a cup.

Since 1/3 is a fraction, we need to divide 8 ounces by 3 to find the amount of water needed for 1/3 cup.

8 ounces ÷ 3 = 2.6667 ounces (rounded to four decimal places)

Rounding it to a reasonable decimal place, the best estimate for the number of ounces of water needed when a recipe calls for 1/3 cup is approximately 2.67 ounces.

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Answer:

c

Step-by-step explanation:

Answer:

will intersect the circle at negative and positive x-coordinates.

Step-by-step explanation:

^^

Answer:

700 m

( A parachutist's rate during a free fall reaches 231 feet per second. What is this rate in meters per second? At this rate, how many meters will the parachutist fall during 10 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers. )

In the fraction 15⁄7, 15 is the numerator, indicating the number of parts considered, while 7 is the denominator, indicating the total parts in a whole.

In the fraction 15⁄7, 15 is the numerator. This is the part of the fraction that represents the number of equal parts being considered. In contrast, the 7 represents the denominator, which indicates the total number of equal parts that make up a whole.

When you see a fraction, the top number, which is called the numerator, answers the question of 'how many parts you have.' The bottom number, the denominator, answers 'how many parts the whole is divided into.' Therefore, in the given fraction, you have 15 parts out of a total of 7 parts, which suggests that you have more than one whole - this is known as an improper fraction, because the numerator is larger than the denominator.

Answer:

77 out of 100 grids will have some marking to differentiate it from others.

Step-by-step explanation:

To model a desert community in which 77% of the area is covered with houses you may use different options as per your choice. You may put a border to the 77 of the 100 grid. If we choose a 10 by 10 grid then it will be preferable for modeling a desert community if you will mark  77 out of 100 grid.

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Answer:

mamamo 20 miles

Step-by-step explanation:

Answer:

Ted (20,-20)  Ned (20,30)

Step-by-step explanation:

The possible numbers of white coffees that Lonnie could have received in the afternoon are 0 or 3.

In this problem, Lonnie visited one of the coffee machines and bought some coffees, of which three turned out to be white. He then went back to the same machine for the afternoon run and bought the same number of coffees again. We need to determine the possible numbers of white coffees that Lonnie could have received this time.

Since every fourth coffee dispensed from STACO is black and the rest are white, we can conclude that every 3 out of 4 coffees from STACO are white. Therefore, if Lonnie received only white coffees in the morning, then it is possible that he could have received all black coffees in the afternoon.

On the other hand, the coffees dispensed from TRUCKBASS are alternately black and white. So, if Lonnie received three white coffees in the morning, it is not possible for him to receive all black coffees in the afternoon from TRUCKBASS.

Therefore, the possible numbers of white coffees that Lonnie could have received in the afternoon are 0 or 3, depending on which machine he visited.

it would cost her $9

hope this helps

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