You have 20 quarters. You find 40% more quarters in your room. Then you go shopping and spend 50% of the total number of quarters. Write a expression that represents the total number of quarters you take with you when you go shopping. How much money do you have left

Answers

Answer 1

Answer:

a) 28 quarters

b) 14 quarters  

Step-by-step explanation:

We are given the following in the question:

Number of quarters = 20 quarters

Number of quarters in room = 40%

Total number of quarter in room =

[tex]=40\%\times (20)\\\\=\dfrac{40}{100}\times 20\\\\=8[/tex]

Thus, the total quarters taken to shopping =

[tex]=20 +40\%\times (20)\\\\=20+8\\=28[/tex]

Thus, 28 quarters were taken to shopping.

Quarter spent on shopping = 50%

Total number of quarter spent in shopping =

[tex]=50\%\times (28)\\\\=\dfrac{50}{100}\times 28\\\\=14[/tex]

Money left =

Money taken for shopping - Money spent

[tex]= 28-14\\=14[/tex]

Thus, we are left with 14 quarters after shopping.


Related Questions

The formula f(x + 1) = Two-thirds(f(x)) defines a geometric sequence where f(1) = 18. Which explicit formula can be used to model the same sequence?

Answers

C. f (x) = 18 (2/3)x-1

Step-by-step explanation:

I got it right on edge. please mark brainliest!!

Select Statistical or Not statistical to classify each question.

Question Statistical Not statistical
Which radio station does each of my friends prefer?
How far can each radio station broadcast its signal?
Which radio station is located on the west side of town?

Answers

Answer:1 yes. 2 yes. 3 no.

Step-by-step explanation:

i did it in the oms

what is 0.1 X 9670 equal to?

Answers

Answer:

967

Step-by-step explanation:

0.1 x 9670 = 967

סוווטקיס
Find the length of the segment with endpoints (-9, -9) and (-4,3)

what’s the answer

Answers

Using distance formula we find that length is 13.

Hope this helps.

.find the distance between the points (4, 3) and (0, 3).
a) 2
b) 4
c) 10
d) 12

Answers

The distance is 4 from

Answer:The answer is 4

Step-by-step explanation:

find the dimensions of the sports field at the right if the width is at least 60 yards AREA = 240 - 400X SQUARE YARDS

Answers

Answer:

The dimensions of the sports field are 80 yards and 3 - 5x yards

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Width of the sports field = At least 60 yards

Area of the sports field = 240 - 400x square yards

We can conclude the shape of the sports field is rectangular.

2. Find the dimensions of the sports field.

A. We need to find the Greatest Common factor between 240 and 400, this way:

The factors of 240 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240 .

The factors of 400 are: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400 .

Then the greatest common factor is 80.

This GCF is also higher than 60, therefore it's one of the dimensions of the sports field.

Now, we calculate the other side of the sports, this way:

Second dimension of the sports field = (240 - 400x)/80

Second dimension of the sports field = 3 -5x

The dimensions of the sports field are 80 yards and 3 - 5x yards

Answer:

80(3-5x)

Step-by-step explanation:

240-400x

GCF: 80

Factored expression: 80(3-5x)

She took $20 with her to the movies. When she come back with $6. How much money did she spend

Answers

Answer:

$14

Step-by-step explanation:

$20 minus the $6 she came back with equals $14, which is what she spent.

(20-6=14)

Answer:

$14

Step-by-step explanation:

Take 6 away from 20

6/8=y/16 how do you find the proportion of value y

Answers

You can set both fractions to have the same denominator by multiplying 6/8 (both the 6 and 8) by 2 to keep the value of the fraction, while turning the denominator to 16. So you get 12/16=y/16.
That means for the equation to be true y has to be 12.

Hope this helps!

Evaluate the expression. 33 + 6( 2 + 36 )

Answers

Answer: 261

Step-by-step explanation:

You use PEMDAS to solve this problem

you first do the Parenthesis (p)

33+6(2+36)

33+6 (38)

We then multiply first (M)

33 + 6(38) - we know that 8 times 6 is 48 ; 6 times 3 is 18 +4 because we brought down the 4 from 48 to 3. which will be equal to 228

33 + 228

261

What is the solution to the differential equation dydx=5y2 with the initial condition y(0) = 3?

Answers

Differential equation is a way to represents the relation between the functions and their variables. The solution to the differential equation given in the question is,

[tex]y=\dfrac{3}{15x-1}[/tex]

Given-

The equation in the question is,

[tex]{dy\times {dx}=5y^2[/tex]

What is differential equation?

Differential equation is a way to represents the relation between the functions and their variables.

Rewrite the equation,

[tex]\dfrac{dy}{5y^2} =dx[/tex]

Integration both sides,

[tex]-\dfrac{1}{5y} =x+c[/tex]

Here, c is the integrating constant.

Now the given initial condition is,

[tex]y(0)=3[/tex]

Use this for the integrated function to find the value of the constant,

[tex]-\dfrac{1}{5\times 3} =c[/tex]

[tex]c=-\dfrac{1}{15}[/tex]

Put this value in equation we get,

[tex]-\dfrac{1}{5y} =x-\dfrac{1}{15}[/tex]

[tex]y=\dfrac{3}{15x-1}[/tex]

Hence the solution to the differential equation given in the question is,[tex]y=\dfrac{3}{15x-1}[/tex]

For more about the differential equation follow the link below-https://brainly.com/question/25731911

Final answer:

To solve the differential equation dy/dx = 5y^2 with the initial condition y(0) = 3, use separation of variables and integration. Substitute the initial condition to find the specific solution.

Explanation:

To solve the differential equation dy/dx = 5y^2 with the initial condition y(0) = 3, we can use separation of variables.

First, rewrite the equation as dy/y^2 = 5dx. Integrate both sides: ∫1/y^2 dy = ∫5 dx. This simplifies to -1/y = 5x + C.

Next, apply the initial condition y(0) = 3: -1/3 = 0 + C. Therefore, C = -1/3.

Substitute C back into the equation: -1/y = 5x -1/3. Solve for y: y = -1/(5x -1/3).

Learn more about Solution to a differential equation here:

https://brainly.com/question/36023383

#SPJ3

Write the quadratic equation whose roots are −2 and 4, and whose leading coefficient is 5.

Answers

Answer:

10x2 + 30x - 40

Step-by-step explanation:

If the two roots are -2 and 4 then the factors shall be;

5(x+2)(x-4)

5 is the leading coefficient.

FOIL:

f(x) = 5(x2+4x+2x-8) =

f(x) = 5(x2+6x-8) =

f(x) = 10x2 + 30x - 40

Answer:5x^2-10x-40=0

Step-by-step explanation:

x=-2 or x=4

x+2=0 or x-4=0

(x+2)(x-4)=0

x^2-4x+2x-8=0

x^2-2x-8=0

Multiply the equation by 5

5x^2-10x-40=0

3. Triangle ABC has angle measures as shown.

Answers

The answer is 93 because by adding the two other angles plus x equals 180 as shown in the question. Then subtract 87 (the total of the two angles provided) from 180 (the total) which proves that x=93

2. need answer soon :) will give brainlyest
What number solves the equation 1/8 (x + 9) = 5?

Answers

Answer:

31

Step-by-step explanation:

Answer:

The number is 31

Step-by-step explanation:

Step 1:  Distribute

1/8 (x + 9) = 5

1/8x + 9/8 = 5

Step 2:  Subtract 9/8 from both sides

1/8x + 9/8 - 9/8 = 5 - 9/8

1/8x = 31/8

Step 3:  Multiply both sides by 8

1/8x * 8 = 31/8 * 8

x = 31

Answer:  The number is 31

Graph a line that contains the point (-5,6) and has a slope of 2/3

Answers

Answer:

y= 2/3x + 28/3

Step-by-step explanation:

First, write your equation as y=2/3x+b. Plug in your coordinate into the equation, it should look like this: 6=2/3(-5)+b. Multiply 2/3 by -5 to get -10/3. It should look like this: 6= -10/3+b. Add 10/3 to both sides to get your y-intercept of 28/3. Go back to your original equation and plug 28/3 into b. This is your final equation: y= 2/3x + 28/3. Hope this helped!

Use the dot plot to answer questions.

Deanna's mean score is approximately
90
90.93
92
92.4

Amy's mean score is approximately
88.5
90
90.27
92.4

Answers

Answer:

90.93 and 90.27

Step-by-step explanation:

-5√112 radical expression

Answers

Answer:−

-20 √ 7

Step-by-step explanation:

1 point
9. The costs for going to a dog beach are $7 for 1 dog, and $2 for each
additional dog. Which equation shows this situation, where x is greater
than or equal 1? *

Answers

The equation shows this situation is y = 2x + 5

Solution:

Given that,

The costs for going to a dog beach are $7 for 1 dog, and $2 for each  additional dog

Let "x" be the number of dogs

where x is greater  than or equal 1

Cost y is $7 for the first dog and $2 for each of the other dogs

Therefore,

y = 7 + 2(x - 1)

x - 1 means the additional dogs

Therefore,

y = 7 + 2x - 2

y = 2x + 5

Thus the equation is found

Find the lateral area for the pyramid with the equilateral base

A: 144 sq. units
B: 180 sq. units
C: 288 sq. units

Answers

The lateral area for the pyramid with the equilateral base is 144 square units

Solution:

The given pyramid has 3 lateral triangular side

The figure is attached below

Base of triangle = 12 unit

Find the perpendicular

By Pythagoras theorem

[tex]hypotenuse^2 = opposite^2 + adjacent^2[/tex]

Therefore,

[tex]opposite^2 = 10^2 - 6^2\\\\opposite^2 = 100 - 36\\\\opposite^2 = 64\\\\opposite = 8[/tex]

Find the lateral surface area of 1 triangle

[tex]\text{ Area of 1 lateral triangle } = \frac{1}{2} \times opposite \times base[/tex]

[tex]\text{ Area of 1 lateral triangle } = \frac{1}{2} \times 8 \times 12\\\\\text{ Area of 1 lateral triangle } = 48[/tex]

Thus, lateral surface area of 3 triangle is:

3 x 48 = 144

Thus lateral area for the pyramid with the equilateral base is 144 square units

jeds market has a total of 26 employees. Each full time employee makes $275/ week, and each part-time employee makes $140/ week. Jed pays a total of $5935 in wages each How many full-time and part-time employees does he have? Let f= number of fulltime employees, and p= number of part-time employees.

Answers

The number of full time employees is 17 and the number of part time employee is 9

Step-by-step explanation:

Step 1 :

Let f represent the number of full time employee and p represent the number of part time employee

Total number of employees = 26

Hence we have f + p = 26

Step 2 :

Wages of full time employee  = $275

Wages of part time employee = $140

Total wages paid by Jeds = $ 5935

Hence we have 275 f + 140 p = 5935

Step 3:

Solving the equations obtained in step 1 and step 2 we have

f + p = 26, Multiplying by 275 = > 275 f + 275 p = 7150

275 f + 140 p = 5935

Subtracting equation 2 from 1 we have

135 p = 1215 => p = 9

Substituting this in f + p = 26 gives, f + 9 = 26

So f = 17

Step 4 :

Answer :

The number of full time employees is 17 and the number of part time employee is 9

In a survey of 300 house wires. It was discovered
that 150 had read magazine A, 200 had
read Magazine B and 156 had read
magazine C It was further discovered
that 48 had read A and B 60 had
read B and a while 52 hand read
A and a . Find
The number of housewives that had read.
all three magazine

Answers

Answer:

46 housewives read all three magazines.

Step-by-step explanation:

Given:

        n(A) = 150

        n(B) = 200

        n(C) = 156

        n(A∩B) = 48

        n(B∩C) = 60

        n(A∩C) = 52

         n(A∪B∪C) = 300

so we know the relation as:

  n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) - n(A∩C) + n(A∩B∩C)

∴ n(A∩B∩C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) - n(A∩C)  - n(A∪B∪C)

                    = 150 + 200+ 156 - 48 - 60 - 52 - 300

                   = 46

Hence the number of housewives that had read all three magazine is 46.

Answer:

46 housewives read all three magazines.

Step-by-step explanation:

Edmond is on the third day of his hike up Glacier Peak. The graph below shows his hiking time and altitude for the third day only.

What was his altitude at the beginning of the third day?
A. 5,000 feet
B.
3,500 feet
C. 3,000 feet
D 4,000 feet

Answers

Answer: 3,500 feet

Step-by-step explanation:

To determine the original altitude for the third day, identify the y-intercept of the graph.

Therefore, the original altitude was 3,500 feet.

Answer: my question was a little different but i posted an image of the correct answer.

Step-by-step explanation:

To determine the original altitude for the third day, identify the y-intercept of the graph.

Therefore, the original altitude was 4,000 feet.

Find the slope of the line that passes through (9,3) and (6,3)

Answers

Answer:

0

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-3)/(6-9)

m=0/-3

m=0

Could a right triangle ever be an equilateral triangle?

Answers

Answer: An equilateral triangle can NOT be a right triangle.

Step-by-step explanation:

In a right triangle, however, the 3 angles can NOT be congruent. This is because in a right triangle, one angle equals 90 degrees. Therefore, you can't have 3 angles equal 90 degrees.

Answer:

n equilateral triangle can not be a right triangle. ... In a right triangle, however, the 3 angles can NOT be congruent. This is because in a right triangle, one angle equals 90 degrees. Therefore, you can't have 3 angles equal 90 degrees.

Step-by-step explanation:

Please mark me as brainliest... I really would appreciate that

Greg's ceiling fan rotates 30 degrees and then stops. How many more times does it need to rotate to make a full rotation?

Answers

Answer:

330 degrees

Step-by-step explanation:

a full rotation is 360 degrees and if you subtract 30 from 360 its 330

Final answer:

To complete a full rotation, Greg's ceiling fan, which has already rotated 30 degrees, needs to rotate one more time, as there are 330 degrees left to reach 360 degrees, which is a full rotation.

Explanation:

Greg's ceiling fan rotates 30 degrees and stops. To determine how many more times the fan needs to rotate to complete a full rotation, first, we need to know that one full rotation is equal to 360 degrees. As the fan has already rotated 30 degrees, we subtract this from 360 degrees:

360 degrees - 30 degrees = 330 degrees.

Now, because one full rotation is 360 degrees, we divide the remaining degrees by 360 to find the number of additional rotations needed:

330 degrees / 360 degrees per rotation = 0.9167 rotations.

Since a fan cannot complete a fraction of a rotation in terms of action, Greg's ceiling fan would need to rotate one more time to make it a complete rotation.

A rectangular prism has a base that is 6 meters by 3.5 meters, and the prism is 9 meters high. What is the surface area of the prism?

Answers

Answer:

213 m^2

Step-by-step explanation:

The surface area for a rectangle prism is given by

A=2(wl+hl+hw)

We know the base is 6 meters by 3.5 m  so l = 6 and width =3.5

The heigth is 9 m

A = 2 ( 6*3.5 + 9* 6 + 9* 3.5)

   = 2 * (21 +54 +31.5)

    = 2*(106.5)

    =213 m^2

Answer:

213 square meters

Step-by-step explanation:

The surface area for a rectangle prism is given by

A=2(wl+hl+hw)

We know the base is 6 meters by 3.5 m  so 6 * 3.5

The height is 9 m

A = 2 ( 6*3.5 + 9* 6 + 9* 3.5)

  = 2 * (21 +54 +31.5)

   = 2*(106.5)

   =213 m^2

e:-6=3:9 what is the blank

Answers

Answer:

e=-2

Step-by-step explanation:

3*x=9

3*3=9

x=3

e*x=-6

e*3=-6

e=-6/3

e=-2

78 is the geometric mean of 30 and what number

Answers

Answer:

202.8

Step-by-step explanation:

The geometric mean of 2 numbers a and b is

[tex]\sqrt{ab}[/tex]

Here a = 30 and mean = 78, thus

[tex]\sqrt{30b}[/tex] = 78

To clear the radical square both sides

([tex]\sqrt{30b}[/tex] )² = 78², that is

30b = 6084 ( divide both sides by 30 )

b = [tex]\frac{6084}{30}[/tex] = 202.8

A movie theater charges $9.50 per movie ticket. If there is an average of 79
moviegoers a day, about how much money does the theater make in a week?
O A. $6000
O B. $3000
O C. $600
O D. -$600

Answers

Answer:

around $6000 the real answer is $5253.5

Step-by-step explanation:

The answer would be A

A wagon is on sale for 20% off. The sale price of the wagon is $114. What was the original price of the wagon assuming no sales tax is paid on the item? Report your answer to two decimal places. Do not include the dollar sign, $, in the answer box below.

Answers

To calculate the original price of a wagon on sale at 20% off, divide the sale price of $114 by 0.80, resulting in the original price of $142.50.

To find the original price of the wagon before the 20% sale, we have to determine what $114 represents after the discount has been applied. If $114 is 80% of the original price (100% - 20% = 80%), we need to find 100% by dividing $114 by 0.80:

Original Price = Sale Price / (1 - Discount Percentage)

Original Price = $114 / 0.80

Original Price = $142.50

So, the original price of the wagon before the sale was $142.50.

do these measurements represent the side lengths of a right triangle 12ft 20ft and 24ft

A. yes
B. No​

Answers

Answer:

B.  No

Step-by-step explanation:

We can test this theory using Pythagorean's theorem:

a² + b² = c²

12² + 20² = 24²

144 + 400 = 576

544 ≠ 576

So you can conclude that this is not a right triangle.

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