Helen earns $1,840 per month, after taxes. Of her monthly pay, 45% is for rent, 1/10 is for utilities, and 1/5th is for food. How much money does Helen have left after all these expenses?

Answers

Answer 1

If I did my math correctly, Helen would have $463 left after her expenses.

The first step is to find how much money 45% of $1840 is. When you multiply 0.45 by 1840 I got 825. So 45% of $1840 is $840.
Then I needed to find what 1/10 of $1840 is. 1/10 is equal to 10%, or 0.1. If you multiply 0.1 by 1840 you get 184. So 1/10 of $1840 is $184.
1/5 is equal to 20%, or 0.2. Take 0.2 and multiply it by 1840 and get 368. So, 1/5 of $1840 is $368.
I then added all three numbers, 825, 184, and 368, toghter and got 1377.
So now we know that $1377 is used to pay for Helen's expenses.
The last step is to subtract 1377 from 1840 to get the final answer of 463.
So, Helen has $463 dollars left after all her expenses.

Answer 2

The amount of money that Helen would have left after all these expenses is $460.

What is the amount left?

In order to determine the amount that would be left, determine the money value of the expenses, add the expenses together and subtract it from the earnings.

Amount spent on rent = 45% x 1840 = $828Amount spent on utilities 1/10 x 1840 = $184 Amount spent on food = 1/5 x 1840 = $368Total value of expenses = 1380

Amount left = 1840 - 1380 = $460

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Related Questions

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?

Answers

Jayden rode his bike 18.15 miles on both days.

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.

Answers

1. 231 ft/s = (231 ft/s)*(1 m/(3.3 ft)) ≈ 70 m/s

2. In 10 seconds, the parachutist will fall
.. (10 s)*(70 m/s) = 700 m

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. )

How can the expression 3(4x) + 2(7y) be simplified?
7x + 9y
12x + 9y
12x + 14y
7x + 14y

Answers

The answer is:
12x+14y

So, you can multiply 3(4x) to get 12x and 2(7y) to get 14y and that is it's simplest form. The answer is 12x + 14y .

A cup of water holds about 8 ounces. If a recipe calls for 1/3 cup of water, which is the best estimate of the number of ounces that are needed?

Answers

If a cup can hold 8 ounces then 1/3 cup of water is equal to
1/3x8 ounces so answer will be 2.66666...... Or can be rounded to 3

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

What is the best estimate of the number of ounces that are needed?

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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select the measurement that is most reasonable
a. a street has a width of 5 meters
b. a cat has a mass of 5 grams
c. a swimming pool has a capacity of 5 liters
d. a beetle has a mass of 5 kilograms

Answers

i think it might be A

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

A small refrigerator is a cube with a side length of 16 inches. Use the formula S = 6s2 to find the surface area of the cube.

Answers

6*16^2=1536 in
A=1536 in
The surface area of the cube is 1536 in.

The answer is 1536 inches

The function y= -16t^2 +24t represents the height y (in feet) of a tennis ball bouncing straight up from the ground t seconds after it bounces. After how many seconds does the tens ball return to the ground?

Answers

Answer:

-16t² + 24t = 0

-8t(2t - 3) = 0

t = 1.5 seconds

The tennis ball returns to the ground in 1.5 seconds.

The tennis ball returns to the ground after [tex]$\frac{3}{2}$[/tex] seconds.

To find when the tennis ball returns to the ground, you need to determine when the height y is equal to zero. In the given function [tex]y = -16t^2 + 24t\)[/tex], set y equal to zero and solve for t:

[tex]\[ -16t^2 + 24t = 0 \][/tex]

Factor out 8t from both terms:

[tex]\[ 8t(-2t + 3) = 0 \][/tex]

Now, set each factor equal to zero:

1. 8t = 0: This gives t = 0.

2. -2t + 3 = 0: Solve for t.

[tex]\[ -2t = -3 \][/tex]

Divide both sides by -2:

[tex]\[ t = \frac{3}{2} \][/tex]

So, the two solutions are t = 0 and [tex]$t = \frac{3}{2}$[/tex]. However, $t = 0$ corresponds to the initial bounce, and we are interested in the time it takes for the ball to return to the ground after the first bounce.

Therefore, the tennis ball returns to the ground after [tex]$\frac{3}{2}$[/tex] seconds.

Roger makes $42,000 a year. What is the maximum amount he can afford for a mortgage each month?

Answers

Answer:

The answer is 875.00

Step-by-step explanation:

Roger can afford a maximum monthly mortgage payment of $1,505.

What is an expression?

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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The family size bottle of sunscreen holds 12 fluid ounces of sunscreen. The regular bottle holds 75% less. How many fewer fluid ounces does the regular bottle of sunscreen hold ?

Answers

9 fluid ounces
12×0.75=9

Answer:

9 ounces

Step-by-step explanation:

The information in the question given

The family size bottle of sunscreen holds 12 fluid ounces of sunscreen.

The regular bottle holds 75% less.

we need to find that how many fewer fluid ounces does the regular bottle of sunscreen hold?

Now given family size bottle holds 12 fluid ounces. But regular bottle has 75% less, therefore it can be measured as below

75/100 x 12 = 9 ounces

So the regular bottle holds 9 ounces of fluid.

Which represents the reflection of f(x)= square root x over the x-axis?

Answers

Answer

The firs graph attached (picture 1)

Explanation

To reflect the function over the x-axis, you multiply the whole function by -1. So, is you want to reflect [tex]f(x)[/tex], you just need to multiply [tex]f(x)[/tex] by -1: [tex]f(x)*-1=-f(x)[/tex].

Since our function is [tex]f(x)=\sqrt{x}[/tex], we are going to multiply the whole function by -1 to the get the the graph of its reflection over the x-axis (picture 1)

Reflection of f(x) over the x-axis:

[tex]-f(x)=\sqrt{x}[/tex]

[tex]g(x)=-\sqrt{x}[/tex]

Negate the value of the y-coordinate of each point, but leave the x-value the same. Therefore, option A is the correct answer.

The given function is f(x)=√x.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, f(x)=√x

Graph using the end point and a few selected points.

(0,0), (1, 1) and (2, 1.41)

The graph for the obtained coordinate points is given below.

The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same.

Therefore, option A is the correct answer.

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there were 629,000 women motorcyclists, up from 447,000 eight years ago. what's the percentage of increase?

Answers

This is the formula for percentage increase and decrease

Explain the steps you would take to model a desert community in which 77% of the area is covered with houses.

Answers

To model this, I would use a 10 x 10 grid. To show exactly 77%, you would shade 77 out of the 100 boxes that would be created by the grid. This will be the most basic way to model what exactly 77% is representing. To make it more realistic, you may want to space out the 77 boxes.

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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Solve these problems using the berry method. Please show me the work! (291-298)

Answers

The Berry Method has you copy the coefficient of the first term into the first term of each of the binomial factors. As a second step, you find factor of "a*c" that add to "b", where "a", "b", "c" are the coefficients of ax^2 +bx +c.

So, you start with a factorization that looks like
.. (ax + __)*(ax + __)
with the blanks to be filled by the numbers you determine in the second step.

Finally, you divide this product by "a" in an appropriate way. Often, that will mean you factor "a" from one of the binomials.

291) 5c^2 +13c +6
.. form to fill: (5c + __)*(5c + __)
We're looking for factors of 5*6 = 30 that add to 13.
.. 30 = 1*30 = 2*15 = 3*10 = 5*6 . . . . . . sums of factors are 31, 17, 13, 11.
The numbers we want are 3 and 10. Putting these into the form gives
.. (5c +3)*(5c +10)
.. = 5(5c +3)(c +2)
The factorization we want is
.. 5c^2 +13c +6 = (5c +3)(c +2)

294) 4d^2 +8d -21
.. 4*-21 = -84 = 84*-1 = 42*-2 = 28*-3 = 21*-4 = 14*-6 = 12* -7
.. These factor pairs have sums 83, 40, 25, 17, 8, 5, so our numbers are 14, -6.
.. (4d +14)(4d -6) . . . . form with numbers filled in
.. = 2(2d +7)*2(2d -3) . . . . . remove a factor of 4 by removing a factor of 2 from each binomial
.. = 4(2d +7)(2d -3)
The factorization we want is
.. 4d^2 +8d -21 = (2d +7)(2d -3)

297) 3g^2 -16g -12
.. 3*-12 = -36 = -36*1 = -18*2 = -12*3 = -9*4 = -6*6
.. These factor pairs have sums -35, -16, -9, -5, 0, so the numbers we want are -18 and 2.
The Berry Method form now looks like
.. (3g -18)(3g +2)
.. = 3(g -6)(3g +2)
The factorization we want is
.. 3g^2 -16g -12 = (g -6)(3g +2)

The answer i need to know

Answers

The volume of a rectilinear shape is the product of length, width, and height. This formula can be solved to find the height from the other given values.
.. V = lwh
.. h = V/(lw)

For this problem, we want the value of 8h, so we have
.. 8h = 8V/(lw)
.. = 8(10 2/3 ft^3)/((4 ft)(1 1/3 ft))
.. = (256/3 ft^3)/(16/3 ft^2)
.. = 16 ft

The height of the stack of bales is 16 feet.

mindy needs 3 1/3 cups of raisins for the trail mix shes making she only has 1 2/3 cups of raisins in her pantry how many more raisins does she need?

Answers

1 2/3 cups of raisins

1 2/3 more cups of raisins

In the fraction 15⁄7, which of the following is 15?

Answers

The numerator. the number on top is always the numerator of a fraction.

Final answer:

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.

Explanation:

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.

what is the value of x in the solution of the system of y=2x and 4x+y=6

Answers

So x will equal (in both equation) to 1

WHOEVER HELPS FIRST GETS BRAINLIEST. IM BEING TIMED!!!

Answers

Answer:

Step-by-step explanation:

what 9x11

A full grain silo empties at a constant rate. write an expression to determine the amount of grain left after s seconds

Rate: 3.5 ft 3/s

I'm asking this question again because this is urgent!

Answers

Final answer:

To calculate the remaining amount of grain in a silo discharging at a constant rate, we subtract the total amount discharged (rate times time) from the initial amount. This can be expressed as 'G = I - 3.5s' where 'G' is the amount of grain left after 's' seconds, 'I' is the initial amount, and '3.5' is the discharge rate in ft3/s.

Explanation:

If the silo empties at a constant rate, it can be modeled with linear equations. In this case, the rate of grain being emptied from the silo is 3.5 units of grain every second. Please note that to find the amount of grain left after a certain amount of time, we need to know the initial amount of grain in the silo, let's call it 'I'.

For your problem the general mathematical expression would be: total amount of grain left = initial amount of grain (I) - (rate × time),

If we denote the amount of grain left after 's' seconds as 'G', we can write the equation as: G = I - 3.5s

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What is the area of this polygon?

42.5 units²
41.5 units²
35.5 units²
29.5 units²

Answers

it would be 35.5^2 ;) easy

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

Answers

Answer:

Step-by-step explanation:

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

Answers

remeber the formula:
Volume = length * width * height.
Find the dimensions of the prism.
514 inches wide1212 inches longAnd 4 inches tall.
Plug in our values.
Volume = 514 * 1212 * 4Volume = 2491872 cube inches

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

From the set {(-2, -5), (0, 10), (5, 8), (8, -3)}, which ordered pairs are a part of the solution set for 5x + 5y > 45?

Answers

Let's go through each of the given points and plug in the coordinates

-----------------------------------------------
Plug in (x,y) = (-2,-5)

5x + 5y > 45
5(-2) + 5(-5) > 45 ... replace x with -2; replace y with -5
-10 - 25 > 45
-35 > 45

The last inequality is false, so (-2,-5) is not in the solution set.

-----------------------------------------------
Plug in (x,y) = (0, 10)

5x + 5y > 45
5*0 + 5*10 > 45
0 + 50 > 45
50 > 45

The last inequality is true so (0,10) is in the solution set
-----------------------------------------------
Plug in (x,y) = (5,8)

5x + 5y > 45
5*5 + 5*8 > 45
25+40 > 45
65 > 45

The last inequality is true so (5,8) is in the solution set
-----------------------------------------------
Plug in (x,y) = (8,-3)

5x + 5y > 45
5*8 + 5*(-3) > 45
40 - 15 > 45
25 > 45

The last inequality is false, so (8,-3) is not in the solution set
-----------------------------------------------
Summary: The points (0, 10) and (5,8) are in the solution set

Check out the attached image to see a visual representation of this.
Notice how point B and point C are in the red shaded region.

You and your friend covered a total distance of 72 kilometers in a bicycle relay race. The tape diagram shows how the distance was covered in 9 equal parts.

Answers

Answer:

Question 1.. A. Question 2.. C Question 3.. D. Question 4.. D. Question 5.. C.

Question 6.. A. Question 7.. B. Question 8.. B. Question 9.. B.

the base of a right rectangular pyramid has a length of 12 centimeters, a width of 6 centimeters, and a height of 14 centimeters. Describe the cross section formed by a horizontal plane that intersects the faces of the pyramid above the base.

Answers

A horizontal cross-section of this would have a length to width ratio of 12:6 or 2:1. The length would be twice as much as the width.

**PLEASE HELP ASAP** Terri is analyzing a circle, y^2 + x^2 = 36, and a linear function g(x). Will they intersect?

Yes, at positive x-coordinates or zero
Yes, at negative x-coordinates or zero
Yes, at negative and positive x-coordinates or zero
No, they will not intersect

Answers

We analyze the linear function to find that it has equation [tex]y=x[/tex]. Drawing the line, we find that it will intersect the circle at negative and positive x-coordinates.

We can prove this by substituting [tex]y=x[/tex] into the given equation:

[tex]x^2+x^2=36[/tex]

[tex]2x^2=36[/tex]

[tex]x^2 = 18[/tex]

[tex]x = \pm 3\sqrt{2}[/tex]

Hence, [tex]x = 3\sqrt{2}[/tex] or [tex]-\sqrt{2}[/tex], so there are both positive and negative values for [tex]x[/tex].

Answer:

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

Step-by-step explanation:

rank has a circular garden. The area of the garden is 100 ft2. What is the approximate distance from the edge of Frank’s garden to the center of the garden? (A = πr2) A) 6 ft B) 8 ft C) 10 ft D) 12 ft

Answers

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.

onnie is doing the office coffee run one morning. There are two coffee machines in the building: one from STACO and one from TRUCKBASS. They dispense two types of coffee: black (no milk) and white (with milk). The machines are both rather temperamental. Every fourth coffee dispensed from STACO is black and the rest are white. The coffees dispensed from TRUCKBASS are alternately black and white. Lonnie visited one of the machines and bought some coffees, of which three turned out to be white. He went back to the same machine for the afternoon run and bought the same number of coffees again. What are the possible numbers of white coffees that Lonnie could have received this time?

Answers

Lonnie visited one of the machines and bought some coffees, of which three turned out to be white. That means Lonnie used STACO machine which pattern is giving 3 white every 1 black coffees.
He went back to the same machine for the afternoon and take another 3 coffees. Since the machine created 3 white in the morning, it should make 1 black coffee in the first run. The 2nd and 3rd run would give white coffee.

So, Lonnie will have 2 white coffee.

Final answer:

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

Explanation:

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.

if I have 436 baseball cards and 189 football cards.how many more baseball cards than football cards do I need

Answers

Hello,

Here is your answer:

The proper answer to this question is your going to need "247"

436-189=247

Which means your going to need 247 more baseball cards then football cards!

Your answer is 247.

If you need anymore help feel free to ask me!

Hope this helps!

247 cards. because 436-189=247.
May I have a brainliest

What is the obesity threshold weight for a young adult American male?

Answers

Hi kiddo!

Explanation: The answer would be 216.5 pounds. Since it is 2. So, you take 26*2=52...and add that to 164.5 it would be=216.5 so round up and your answer is D.

~Brooke❤️

Answer: answer D for apex

Step-by-step explanation:

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