Cheryl used 40% of her money to buy a dress and 1/5 of the remainder to buy a pair of shoes. She then donated $60 to charity and had $132 left How much money did Cheryl have at first?

Answers

Answer 1
Let the amount be a
Amount used for dress= 40% of a
amount left =60% of a
amount used for shoe= 1/5*60a/100=3a/25
left=60a/100-12a/100=48a/100
=>48a/100-60=132
=>a=192*100/49=400
She had $400 at first.
Hope I helped, good luck.

Answer 2
Let the amount of money she has at first be x.

Dress = 40% x = 0.4x

Amount left = x - 0.4x = 0.6x

Shoes = 1/5 x 0.6x  = 0.12x

Amount left = 0.6x - 0.12x = 0.48x

Donated $60 and had $132 left:
⇒ 0.48x - 60 = 132

Solve x:

0.48x - 60 = 132

0.48x = 192

x = $400


Answer: $400




Related Questions

use distributive property to multiply 5(2a-7b-2) please show work?

Answers

Hello!

First multiply everything in parenthesis by the number outside of the parenthesis.

[tex]5(2a - 7b - 2) 10a - 14b - 10[/tex]

Since you can't add/subtract numbers with differing variables, 10a - 14b - 10 is your final answer. 

Final answer:

To multiply 5 by the expression (2a-7b-2), each term inside the parentheses is multiplied by 5, resulting in the final expression 10a - 35b - 10.

Explanation:

To use the distributive property to multiply 5(2a-7b-2), multiply each term inside the parentheses by 5.

Multiply 5 by 2a which gives 10a.

Multiply 5 by -7b which gives -35b.

Multiply 5 by -2 which gives -10.

Now, combine these results to get the final expression: 10a - 35b - 10.

What are the solutions of the equation x^2 - 7x -8= 0? Complete the square.

Answers

Use the formula (b/ 2)^2 in order to create a new term. Solve for x by using this term to complete the square.
x = 8 , − 1

the solutions to the equation [tex]\( x^2 - 7x - 8 = 0 \)[/tex] are ( x = 8 ) and ( x = -1 ).

To solve the quadratic equation[tex]\( x^2 - 7x - 8 = 0 \)[/tex]by completing the square, we follow these steps:

1. Move the constant term to the other side of the equation:

[tex]\[ x^2 - 7x = 8 \][/tex]

2. To complete the square, take half of the coefficient of ( x ) (which is -7), square it, and add it to both sides of the equation:

[tex]\[ x^2 - 7x + \left( \frac{-7}{2} \right)^2 = 8 + \left( \frac{-7}{2} \right)^2 \]\[ x^2 - 7x + \frac{49}{4} = 8 + \frac{49}{4} \][/tex]

3. Simplify the right side of the equation:

[tex]\[ x^2 - 7x + \frac{49}{4} = \frac{32}{4} + \frac{49}{4} \]\[ x^2 - 7x + \frac{49}{4} = \frac{81}{4} \][/tex]

4. Write the left side of the equation as a perfect square:

[tex]\[ \left( x - \frac{7}{2} \right)^2 = \frac{81}{4} \][/tex]

5. Take the square root of both sides to solve for ( x ):

[tex]\[ x - \frac{7}{2} = \pm \sqrt{\frac{81}{4}} \]\[ x - \frac{7}{2} = \pm \frac{9}{2} \][/tex]

6. Solve for ( x ) by adding [tex]\( \frac{7}{2} \)[/tex]to both sides:

[tex]\[ x = \frac{7}{2} \pm \frac{9}{2} \][/tex]

This gives us two solutions:

[tex]\[ x = \frac{7}{2} + \frac{9}{2} = \frac{16}{2} = 8 \]\[ x = \frac{7}{2} - \frac{9}{2} = \frac{-2}{2} = -1 \][/tex]

So, the solutions to the equation [tex]\( x^2 - 7x - 8 = 0 \)[/tex] are ( x = 8 ) and ( x = -1 ).

mr. martinez has 3 ice chests. he is placing 14 lunches in each ice chest. each lunch contains a sandwich, a bag of chips, and a drink. about 55% of these lunches contain a ham sandwich. which of the following is closest to the number of lunches that contain a ham sandwich?

Answers

 multiply 14× 3 which give you 42
 42× the percent of the lunches which is 55% gives you 23.1
 there are approximately 23 lunches that contain a ham sandwich √

The required number of lunch that contains 55% of ham sandwich is given as 23.

What is simplification?

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,
The total number of lunches is given as,
= 3 × 14
= 42 lunch in the 3 ice chests,

Now, 55% of the lunch consists the ham sandwich,
The number of lunch that contains the ham sandwich is given as,
= 0.55 × 42
= 23.1
≈ 23

Thus, the required number of the lunch that contains 55% of the ham sandwich is given as 23.

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Find the area of the triangle. (round to the nearest whole number)

Answers

Answer: 210 square inches

============================================================

Explanation:

Check out the attached image. I've added in points A through D. The points A,B,C are the vertices of the largest triangle. Point D is directly below point A, and point D is on segment BC. 

To find the area of the largest triangle ABC, we need the base length BC, which is broken up into segments x and y

x = length from C to D
y = length from D to B

Let's find x first

Triangle ADC is a right triangle, so we can use the pythagorean theorem
a^2 + b^2 = c^2
x^2 + 15^2 = 17^2
x^2 + 225 = 289
x^2 = 289 - 225
x^2 = 64
x = sqrt(64)
x = 8

Follow similar steps to find y
a^2 + b^2 = c^2
y^2 + 15^2 = 25^2
y^2 + 225 = 625
y^2 = 625 - 225
y^2 = 400
y = sqrt(400)
y = 20

Therefore
BC = x+y
BC = 8+20
BC = 28

The base of the triangle ABC is BC = 28 units
b = base
b = 28

The height is AD = 15
h = height
h = 15

We can now find the area of triangle ABC
Area = b*h/2
Area = 28*15/2
Area = 420/2
Area = 210

The area of the triangle is 210 square inches

Volume of a square based pyramid is 588 cubic inches the height of the pyramid is 9 inches what is the area of the base of this pyramid

Answers

we know that

volume of the pyramid=(1/3)*area of the base*height
volume=588 in³
height=9 in
area of the base=3*volume/height-----> 3*588/9---->196 in²

the answer is
196 in²

Evaluate the numerical expression.

3.8 − 4.8 ÷ 0.4 − 2.4

Answers

3.8 − (4.8 ÷ 0.4 )− 2.4  = - 10.6

1)4.8:0.4=48:4=12
2)3.8-12= - 8.2
3)-8.2-2.4= - 10.6
Hi there! The answer is - 10.6

3.8 - (4.8 / 0.4) - 2.4 = 
We can use PEMDAS to find our answer, which means we have to divide first.

3.8 - 12 - 2.4 = 
Our next step is to subtract, from left to right.

-8.2 - 2.4 =
Subtract again.

- 10.6
Now we've found our answer.
~ Hope this helps you!


Please help it is important 8 points

There are two squares, and the ratio of their perimeters is 5:8 If the area of the

first square is 225 , then what is the area of the second one?

Answers

The ratio of areas is the square of the ratio of perimeters. The area of the second square is
   (8/5)²×225 = 576

The second square has area 576.

There are four red bicycle helmets in a bin. If a helmet is selected without looking, what is the probability that the helmet is red?

A 1/4
B 1/3
C 4/4
D 3/4

Answers

C - 4/4 It is pretty simple because there are no other colors so there is a 100% chance that red will be it's color. 4/4 = 100%

Final answer:

Given that all helmets in the bin are red, the probability of randomly selecting a red helmet is 1, which corresponds to answer C.

Explanation:

The question is asking for the probability that a randomly selected helmet from a bin of four is red. Since all the helmets in the bin are red, no matter which one you pick, it will be red. In probability, this is represented as the total number of favorable outcomes divided by the total number of outcomes. In this scenario, both favorable outcomes (red helmets) and total outcomes (helmets in the bin) are four. Mathematically, 4/4 results in 1. So, the correct answer is C which symbolize the probability to be 1.

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The Declaration of Independence was signed on July 4, 1776. The United States celebrated the bicentennial on July 4, 1976. How much time was that

Answers

The answer is 200 years

I need help with number 3 plzzz helpppppppppppppp

Answers

2.78 ÷ 2 = 1.39
11.49 ÷ 10 = 1.149 (rounded to 1.50)

2 - pack of pencils for 2.78 is cheaper because 1 pack costs $1.39.

A line passes through the point (2, 3) and has a slope of -2. Which is the equation of the line in point-slope form?

Answers

The equation of the line would be y=-2x+9

The correct answer is option B: [tex]\( y = -2x + 7 \).[/tex] To write the equation of a line passing through the point (2, 3) with a slope of -2, we can use the point-slope form of a linear equation.

The point-slope form is given as:

[tex]\[ y - y_1 = m(x - x_1) \][/tex]

Where [tex]\( (x_1, y_1) \)[/tex] is a point on the line and [tex]\( m \)[/tex] is the slope.

Given that the point is [tex]\( (2, 3) \)[/tex] and the slope is [tex]\( -2 \)[/tex], we can substitute these values into the point-slope form:

[tex]\[ y - 3 = -2(x - 2) \][/tex]

Now, we can simplify and rewrite the equation in various forms to match the options provided:

Option A: [tex]\( 2x + y = 7 \)[/tex]

To match this option, let's rearrange the equation:

[tex]\[ y - 3 = -2(x - 2) \][/tex]

[tex]\[ y - 3 = -2x + 4 \][/tex]

[tex]\[ 2x + y = 7 \][/tex]

So, option A is equivalent to the given equation.

Option B: [tex]\( y = -2x + 7 \)[/tex]

Let's solve the equation for [tex]\( y \):[/tex]

[tex]\[ y - 3 = -2(x - 2) \][/tex]

[tex]\[ y - 3 = -2x + 4 \][/tex]

[tex]\[ y = -2x + 7 \][/tex]

This matches option B.

Option C: [tex]\( y - 3 = -2(x - 2) \)[/tex]

This is already in point-slope form and matches the given equation.

Option D: [tex]\( y = -\frac{1}{2} x + 5 \)[/tex]

Let's solve the equation for [tex]\( y \):[/tex]

[tex]\[ y - 3 = -2(x - 2) \][/tex]

[tex]\[ y - 3 = -2x + 4 \][/tex]

[tex]\[ y = -2x + 7 \][/tex]

This does not match option D.

Therefore, the correct answer is option B: [tex]\( y = -2x + 7 \).[/tex]

The complete question is:

A line passes through the point (2, 3) and has a slope of -2. Which is the equation of the line in point-slope form?

A) 2x + y = 7

B) y = -2x + 7

C) y - 3 = -2(x - 2)

D) y = - 1 2 x + 5.

what is the difference between the least number of minutes jumpes and the greatest minutes jumped?

Answers

The greatest number in the plot is 66, and the least number is 19. If you subtract 19 from 66, the answer is 47.

What is the exact volume of a cylinder with a base height of 30, and a radius of 13

Answers

Volume of a cylinder is [tex] \pi [/tex][tex] r^{2} [/tex]h. This is basically the area of a circle multiplied by the height. You can think of it as congruent circles being stacked on top of each other to create a cylinder. With the given information, all we have to do is substitute the values into the variables

V = [tex] \pi [/tex][tex] r^{2} [/tex]h.
V = [tex] \pi [/tex][tex] (13)^{2} [/tex]x30
V = [tex] \pi [/tex] x 169 x 30 = [tex] \pi [/tex] 5070

Hope this helps! 
(btw if it asks for "exact" anything, leave the pi. Pi is the ratio of the circumference to its diameter, so not every circle will have a pi of 3.14.)

which expression represents the area of the triangle drawn below?
The answer choices are in the photo.. PLEASE HELP!

Answers

Which expression represents the area of the triangle drawn below?

Base of the triangle=4x+2

Height of the triangle=2x+1

Area of triangle=[tex] \frac{1}{2} [/tex]*b*h

Area=[tex] \frac{1}{2} [/tex]*(4x+2)(2x+1)

Simplifying 4x+2 we get, 2(2x+1)

So, we have, Area=[tex] \frac{1}{2} [/tex]*2(2x+1)(2x+1)

Area=[tex] \frac{1}{1} [/tex]*1(2x+1)(2x+1)

=(2x+1)(2x+1)

FOILing the two we get, 2x*2x +2x*1 +1*2x+1*1

(2x+1)(2x+1)=4x²+2x+2x+1

Area=4x²+4x+1

So, Area of the triangle=4x²+4x+1

Answer:Option C

Answer:

It is C

Step-by-step explanation:

I just took the same quiz. I saw that this was the answer.

Hope this helps!

1.Bill and Lisa are surveying their classmates about their summer reading. Their questions are given below:

Bill: How many books were recommended by the book reading club for summer?
Lisa: Which was your favorite book from the book reading club's recommendation?

Who wrote a statistical question and why?

Bill, because there will be variability in the responses collected
Lisa, because there can be only one answer to the question
Bill, because every student will give the same answer
Lisa, because there can be many answers to the question


2.Tammy did a survey to answer the following question:

What is the average reading score of grade 6 students?

The mean reading score was 4.5 points. If all the students scored the same, what would be the reading score of each student?

4.5 points
Less than 4.5 points
Greater than 4.5 points
Cannot be determined

WILL GIVE BRAINLIEST

Answers

1) Lisa, because there can be many answers to the question.

2) 4.5 points.

1. The student that wrote a statistical question is Lisa. This is because there can be many answers to the question

2. The score of each student is: 4.5 points.

What is a Statistical Question?

A statistical question is a question whose answer can be gotten by collecting data that has variability. That is, the answers to the question may be many.

1. The question that is more statistical in nature is Lisa's. This is because there can be many answers to the question

2. The average of a data is the mean, which is the sum of all data points divided by the number of data points.

Therefore, if all students had the same score and the mean score was 4.5, it means the score of each student is: 4.5 points.

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given the formula E=IR what is the formula for R?

Answers

rearrange the formula by isolating r
to isolate r we divide both sides by i
r=i/e (i over e)
Idrk im sorry. Im not that smart yet

List all of the ways that a square can be correctly classified (or named) and Explain why each of the different names is also correct. one point will be given for each classification and explanation

Answers

A square is a rectangle because it is a quadrilateral that has four congruent right angles.

A square is a parallelogram because it is a quadrilateral whose opposite sides are congruent (and parallel).

A square is a rhombus because it is a quadrilateral that has four congruent sides.

A square is a quadrilateral because it has four sides.

A square is a convex polygon because it is a closed figure with all interior angle measures less than 180. 

Determine the sum: (14abc2 + 12a2b + 16b2c) + (−3abc2 + 2b2c).
11abc2 + 12a2b + 18b2c
11a2b2c4 + 12a2b + 18b4c2
41a4b7c6
42a3b4c3 − ab3c3

Answers

The answer is 11abc^2 + 12a^2b + 18b^2c because:
14abc^2-3abc^2 is 11abc^2
12a^2b + 0 = 12a^2b
16b^2c +2b^2c = 18b^c

Emma can sign up for two after-school activities. She can choose soccer, softball, or dancing, and she can choose drama, band, or drawing.

Which table shows all of her possible options?

Answers

The answer is D, the last one.
The correct answer is D.. ;")

My good friends,for the second time in our history,a British prime minister has returned from Germany bringing peace with honor.i believe It is peace for our time... Go home and get a nice quiet sleep This statement reflects to the British belief that which of the following policies would prevent another war? A) containment B) imperialism C) appeasement

Answers

C) appeasement from what it says i dunno though i just think so >.> good luck!

Help please........................

Answers

You are given similarity. At this stage the diagram will tell you which sides correspond to which sides.

AC / DF = BC / EF
3 / 5 = 8 / 2x                     Cross multiply
3 * 2x = 5 * 8                    Multiply
6x = 40                             Divide by 6
x = 40 / 6
x = 6 4/6
x = 6 2/3 
6 2/3  answer <<<<<<<


   

Shelley purchased a home in Maryland Heights, MO, for $204,000. Her down payment was 20% of the cash price, and she obtained a mortgage for 20 years at 7%. What's Shelley's monthly payment?

Answers

To solve this we are going to use the loan payment formula: [tex]P= \frac{ \frac{r}{n}(PV)}{1-(1+ \frac{r}{n})^{-nt} } [/tex]
where
[tex]P[/tex] is the payment
[tex]PV[/tex] is the present debt
[tex]r[/tex] is the interest rate in decimal form 
[tex]n[/tex] is the number of payments per year 
[tex]t[/tex] is the time in years 

Since she paid 20% of the value of the home, [tex]PV=204000-(240000)20[/tex]%=163200
Now, to convert the interest rate to decimal form, we are going to divide the rate by 100% [tex]r= \frac{7}{100} =0.07[/tex]. Since we are finding Shelly's monthly payment and a year has twelve months, [tex]n=12[/tex]. We also know that [tex]t=20[/tex], so lets replace those values in our formula:
[tex]P= \frac{ \frac{r}{n}(PV)}{1-(1+ \frac{r}{n})^{-nt} } [/tex]
[tex]P= \frac{ \frac{0.07}{12}(163200)}{1-(1+ \frac{0.07}{12})^{-(12)(20)} } [/tex]
[tex]P=1265.29[/tex]

We can conclude that Shelly's monthly payment is $1265.29

if a right angle has a hypotenuse of 19 units and a leg with the length of 7 units, find the length of the other leg

Answers

Square root of 19^2-7^2=17.66
Answer 17.6

A cylindrical grain bin has a radius of 5 feet and a height of 29 feet. What is the surface area of the bin?

A. 1,067.6 ft2
B. 157 ft2
C. 910.6 ft2
D. 612.3 ft2

Hurry! pppplllleeeeeaaaasssseeeee!

Answers

Hello!

To solve this you use the equation to find the surface area of a cylinder

[tex]SA = 2 \pi rh + 2 \pi r^{2} [/tex]

SA is surface area
r is radius
h is height

Put in the values you know and 3.14 for pi

SA = 2 * 3.14 * 5 * 29 + 2 * 3.14 * 5^2

SA = 1067.6

The answer is A)1,067.6ft squared

Hope this helps!

Please need some help on this

Answers

The answer to this question is d.57
The answer is D 57 hope this helps

Bethanie recently used her cell phone to deposit a check. This is considered to be what type of electronic banking service?

Answers


the answer is transactional service 

Answer:

Transactional service - APEX

Step-by-step explanation:


colin has a square garden with an area of 97 square feet feet. what is the length of each side of the garden

Answers

Final answer:

The length of one side of Colin's square garden, which has an area of 97 square feet, is approximately 9.85 feet.

Explanation:

Colin has a square garden with an area of 97 square feet. The area of a square is calculated by squaring the length of one side (Side length * Side length = Area). Therefore, to find the length of one side of the square when you know the area, you would take the square root of the area.

In Colin's case, the area of the garden is 97 square feet, so the length of one side would be the square root of 97, which is approximately 9.85 feet.

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Is 3(2+4)=(3x2)+(3x4) associative,distributive,or communitive property

Answers

3(2+4)=(3x2)=(3x4) iss
ASSOCIATIVE PROPERTY! 
~Hope That Helped!~
~Izzy!~
That is the associative property. Please give me brainliest!



The difference between eight times a number and three is equal to negative nineteen. What is the number?

A.2
B.-2
C.-3
D.3

Answers

The equation would be 8x +3 + -19. Substitute your given answers in. Your answer would be B. Negative 2
B. -2

Eight times a number
8 * -2 = -16

The difference between eight times -2 and 3
- 16 - 3 = -19

Piecewise function help!

Answers

Graph bottom left is for x<=-3
Graph top right is for x>2
The slated graph is -3
Other Questions
Read these lines from the poem.Thus I am lord of the Desert Land,And I will not leave my bounds,To crouch beneath the Christians hand,And kennel with his hounds:What do these lines suggest about how the Bushman views the white man?He appreciates the white man for sharing his knowledge with others.He disrespects the white man for his inability to survive in nature.He admires the white man for his ability to take control of situations.He resents the white man for his disrespectful treatment of others. What appliance can be installed in a home to remove excess moisture therefore helping to eliminate mold growth? What is the different types of technology used for cloning animals? Which organelle is responsible for digesting materials and cleaning up the cell of wastes? Why was Germany finally able to reunify?(A)Signed treaties with Soviet Union and Poland if allowed to reunify (B)Political division in the government caused a lack of majority to stop reunification.(C)The Soviet Union and East German government collapsed.(D)Worked with the US, NATO and EU to gain political support for reunification. what do the "house" in lincoln's statement represents Consumer reports stated that the mean time for a chrysler concorde to go from 0 to 60 miles per hour was 8.7 seconds. (a) if you want to set up a statistical test to challenge the claim of 8.7 seconds, what would you use for the null hypothesis? > 8.7 = 8.7 8.7 < 8.7 (b) the town of leadville, colorado, has an elevation over 10,000 feet. suppose you wanted to test the claim that the average time to accelerate from 0 to 60 miles per hour is longer in leadville (because of less oxygen). what would you use for the alternate hypothesis? = 8.7 8.7 < 8.7 > 8.7 (c) suppose you made an engine modification and you think the average time to accelerate from 0 to 60 miles per hour is reduced. what would you use for the alternate hypothesis? > 8.7 = 8.7 < 8.7 8.7 (d) for each of the tests in parts (b) and (c), would the p-value area be on the left, on the right, or on both sides of the mean? both; left left; both right; left left; right Read Pat Moras poem quoted in "The Leader in the Mirror." Immigrants wrap their babies in the American flag, feed them mashed hot dogs and apple pie, name them Bill and Daisy, buy them blonde dolls that blink blue eyes or a football and tiny cleats before the baby can even walk, speak to them in thick English Now read the excerpt from Moras essay "The Leader in the Mirror." My own father was once a paper boy for the newspaper hosting the banquet. I might not have known that fact, nor his long history of hard work, had I not been listening to him with my tape recorder a few years ago. I did not want the students to wait as long as I had to begin preserving the rich inheritance of their family voices. The strength of their heritage would give them the courage to face the future. How are the two passages different? In the poem, Mora writes about immigrant families desire to fit in. In the essay, she writes about the importance of remembering ones heritage. In the poem, Mora writes about her own family heritage. 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In december 1979, soviet troops marched into afghanistan to help put down a revolt at the request of _____?A: the afghan governmentB: the united statesC: al-qaidaD:the taliban Read the following excerpts: Ozymandias by Percy Bysshe Shelley (excerpt) The hand that mocked them and the heart that fed; And on the pedestal these words appear: "My name is Ozymandias, king of kings: Look on my works, ye Mighty, and despair!" Nothing beside remains. Round the decay Of that colossal wreck, boundless and bare The lone and level sands stretch far away. Ode on a Grecian Urn by John Keats (excerpt) When old age shall this generation waste, Thou shalt remain, in midst of other woe Than ours, a friend to man, to whom thou sayst, "Beauty is truth, truth beauty,"that is all Ye know on earth, and all ye need to know. Which of these subjects do both excerpts address? a. warb. powerc. timed. love Does the structure below exhibit geometric isomerism? ch3 tally1 ch3 c chchch3 tally1 ch3 Which musical traditions and practices blended with african traditions to become jazz? Bob bought 3 packs of model cars. He gave 4 cars to Ann.Bob has 11 model cars left how many model cars were in each pack. SOMEONE HELP GIVING 50 POINTS HELP HELP HELP I NEED ALL THE ANSWERS Read the sentence. Hikers can escape the noise of the city. Which word is the direct object? hikers city noise Which situation is most likely to have a constant rate of change? A.Length of a bead necklace compared with the number of identical beads B.Distance a school bus travels compared with the number of stops C.Number of trees in a park compared with the area of the park D.Number of runs scored in a baseball game compared with the number of innings HELP!!! :)) Which of the following is asserted in the beginning of the Declaration of Independence? A. the right to life, liberty, and the pursuit of happiness B. the freedom of religion, speech, and the press C. the right to keep and bear arms D. the right to a speedy trial by jury