The total cost of a sweater and a pair of pants was $89.47. If the price of the sweater was $8.53 less than the pair of pants, what was the price of the sweater? Express your answer as a simplified fraction or a decimal rounded to two places.

Answers

Answer 1

Answer:

Let S = price of sweater

Let P = price of pants

S + P = 89.47 because that was the total spent

S = P - 8.53   because the sweater is 8.53 less than pants

Substitute P-8.53 in place of S in the

1st equation and solve for P

P - 8.53 + P = 89.47

2P - 8.53 = 89.47     add 8.53 to both sides

2P = 89.47 + 8.53

2P = 98.00  divide both sides by 2

P = 98.00/2

P = $49.00

S = P - 8.53

S = 49.00-8.53

S = $40.47

A sweater costs $40.47 and the pants cost $49.00


Related Questions

How can you convert a fraction into a decimal.

Answers

Answer:

put the top number of the fraction (numerator) inside the division bracket and the bottom number (denominator) outside, to the left of the division bracket. The fraction 1/4 becomes 1 ÷ 4. Complete the division to convert the fraction to a decimal.

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Answer and Step-by-step explanation:

The answers are all of the.

All of these answers are less than 64.

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Answer:

-8,8

Step-by-step explanation:

Nadia's class took a math test. The median score on the test was 72% and the mean of the test scores was 72%.

What does this tell you about the data set?

The data shows causation.

The data is accurate.

The data is symmetrical.

Answers

Answer:

C, or "The data is symmetrically"

Step-by-step explanation:

This is because when having both the median and the mean the same, this means their is a perfectly symmetrical distribution of data. Making both the mean and median the same.

HELP FAST PLZ
Solve for x: 3x − 24 = 81
fifty-seven over three
one hundred five over three
57
105

Answers

Answer:

105 over 3

Step-by-step explanation:

you should get 35 as the answer

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Answer:

Line across circle is diameter. Small line coming out of big line is radius. Line around circle is circumference.

Step-by-step explanation:

ANSWER CORRECTLY AND GET BRAINLIEST

Answers

Answer:

A = 250

B = 10

Step-by-step explanation:

Why A equals 250 is because 10 squared 5 equals 500 and 500 divided by 2 equals 250.

Why B equals  10 is because 10 minus 5 is 5 we do that first cause its in pentises and 10 squared times 2 equals 200 and 200 times 5 equals 1000 so 1000 divide 100 is 10

Hope i helped

this is URGENT SHAWTYS

Answers

Answer:

A= 153.86

Step-by-step explanation:

49×3.14= 153.86

Answer:

Area= 153.86 inches²

Step-by-step explanation:

Write an equation for the situation Kevin's paycheck was $175. He gets paid 6 dollars an hour plus an additional 17 dollars in tips. He worked h hours this week. ​

Answers

Answer: 6h + 17 = 175

I been struggling with this please help

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The answer is A :):):):)
The answer should be A.

if f = 4 then it should equal to 12, because 4 + 8 is 12. if f was any other number the inequality wouldn’t work

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how u create a stem and leaf diagram for 55,56,57,62,63,81,84,85

Answers

Answer:

A stem and leaf diagram displays numerical data.The stem and leaf diagram is ordered if the data is in numerical order.

Step-by-step explanation:

Can anyone help me with this?

Answers

Answer:

I think your answer is a

Step-by-step explanation:

In right triangle RST, if cos R = 0.6, what is the length of RT?

Answers

Answer:

1) In right triangle ABC with <A = 90, the ratio for sinB= 5/13. 2) Given ... a) sin (40) = 32/CA b) Cos(50) = 32/ CA ... In triangle RST, angle R is a right angle. If TR = 6 . and ... Determine the length of AC to the nearest 10th.

find the area of the isosceles triangle below

Answers

Answer:

37

Step-by-step explanation:

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Answer:

the answers would be D and E

Step-by-step explanation:

hope that helped

Answer:

The series of transformations that apply are a vertical compression by a factor of 2 and a translation of 4 units down.

Step-by-step explanation:

In a slope-intercept function, the coefficient of the variable determines whether the graph opens up or down, as well as the amount it stretches. If a function's coefficient is greater than 1, as the value of the coefficient increases, the function becomes more vertically compressed. If a function's coefficient is less than 1 but greater than 0, as the coefficient gradually approaches 0, the function becomes more vertically stretched. Since the function's coefficient went from 1 to 2, that means the graph of the function is being vertically compressed by a factor of 2. A slope-intercept function's constant is the graph's y-intercept since the y-value would be that when x is equal to 0. Since the constant went from 0 to -4, that means the graph of the function has been translated down 4 units. So the correct choices would be a vertical compression by a factor of 2, and a translation of 4 units down.

12years ago Justin Timberlake put money into an account paying 6.5% interest compounded biannually. If the account has $18,000 now, how much money did Justin Timberlake deposit?

Answers

Answer:

$8645.73

Step-by-step explanation:

Using the compound interest formula :

A = P(1 + r/n)^nt

A = final amount = 18000

r = rate = 6.5% = 0.065

n = number of compounding tines per period, biannually, once in 2 years = 0.5

18000 = P(1 + 0.065/0.5)^(0.5*12)

18000 = P(1 + 0.13)^6

18000 = P(2.081951752609)

18000 / 2.081951752609 = P

= 8645.7334

= $8645.73

Here is an expression: 2 + 3ⁱ ( Remember what you do when you replace i with a number) Evaluate the expression when i is 1.

Answers

Answer:

The value of the expression when i is 1 is equals to 5.

Step-by-step explanation:

We are given the following expression:

[tex]2 + 3^{i}[/tex]

Evaluate the expression when i is 1.

We replace i by 1. When we elevate a number to the 1, the result is the number we elevate. So

[tex]2 + 3^{i} = 2 + 3^{1} = 2 + 3 = 5[/tex]

The value of the expression when i is 1 is equals to 5.

I bought my house for $575,000. Each year, it increases in value by 4%. How much will it be worth in 10 years?

Answers

Answer:

$805,000

I didn't provide a step-by-step explanation, but if I need to just comment onto my answer and I will provide one.

Hope this helps!

Let me know if you have anymore questions. I would be happy to help.

Solve a quadratic equation by factoring j2–30j=0

Answers

Answer:

j = 0  or j = 30

Step-by-step explanation:

j² - 30j = 0

Factorise j out of both terms on the left side.

j (j-30) = 0

Apply zero product rule.

j = 0  or j-30 = 0

Find the value of j.

j = 0  or j = 30

Trey is solving his equation, and the last line of his work is "-2 = 2". What does this mean?

Answers

Answer:

it means that his equation is not true.

Step-by-step explanation:

-2=2 is obviously incorrect, so we must assume that the equation isn't true.

hi please help i’ll give brainliest please

Answers

Answer:

66

Step-by-step explanation:

Well, 72 - 6 = 66

So, 72 - 66 = 6

y = 66

The answer on the top is correct!
(y=66)

ITS NOT C
please help though i've spent to much on this
ill mark you the brainlyest!!!

Answers

Answer:

A

Step-by-step explanation:

A company makes Poppy Lapel Pins.
Each of them costs £1.30 to make.
In October it made 800 lapel pins.
25% of them are given to charities.
The rest are sold in two formats: 70% of them at £2.50 each
30% of them at £5.00 for 3
Assuming that all the lapel pins will be sold by the end of November,
work out the percentage profit the company should make.
Give your answer to 1 decimal place.

Please someone help it may have been answered before but it's hard to change the values at a certain stage. Thanks​

Answers

Answer:

29.8%

Step-by-step explanation:

1.30 × 800 = £1040  

25% of 800 = 200

800 - 200 = 600 poppy lapel pins given to the charity  

70% of 600 = 420

420 × 2.50 = £1050

30% of 600 = 180

180÷3 = 60  

60 × 5.00 = £300  

[tex]\frac{1050+300-1040}{1040}[/tex] = 29.8076923

= 29.8% to one decimal place

I hope I helped :)

The company should make a percentage profit of approximately 29.8%.

Given that a company makes Poppy Lapel Pins.

Each of them costs £1.30 to make.

In October 800 lapel pins were made from which 25% were given to charities,

The rest are sold in two formats:

70% of them at £2.50 each

30% of them at £5.00 for 3.

We need to find the percentage profit the company should make.

To calculate the percentage profit, we first need to determine the total cost of manufacturing the lapel pins and the total revenue generated from their sales.

Total Cost:

Cost per lapel pin = £1.30

Number of lapel pins manufactured = 800

Total cost = £1.30 × 800 = £1040

Total Revenue:

Number of lapel pins given to charities = 25% of 800 = 0.25 × 800 = 200

Number of lapel pins available for sale = 800 - 200 = 600

Format 1:

70% of lapel pins sold at £2.50 each:

Number of lapel pins = 0.70 × 600 = 420

Revenue from this format = £2.50 × 420 = £1050

Format 2:

30% of lapel pins sold at £5.00 for 3:

Number of lapel pins = 0.30 × 600 = 180

Revenue from this format = (£5.00 ÷ 3) × 180 = £300

Total Revenue = Revenue from Format 1 + Revenue from Format 2 = £1050 + £300 = £1350

Profit:

Profit = Total Revenue - Total Cost = £1350 - £1040 = £310

Percentage Profit:

Percentage Profit = (Profit ÷ Total Cost) × 100

Percentage Profit = (£310 ÷ £1040) × 100 ≈ 29.8%

Therefore, the company should make a percentage profit of approximately 29.8%.

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What is the answer please help

Answers

Answer:

I don't see a problem on the screen

Step-by-step explanation:

What is the solution to the equation



m = –24 m = –12 m = –6 m = –4

Answers

the answer is ........... x= —12

ʄɨռɖ tɦɛ ʋaʟʊɛ օʄ 7x?
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Answer:

7x when x=2=7×2=14 is your answer

help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee


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Answers

Answer:

Area=60

Step-by-step explanation:

Area of a triangle:

A=1/2*h*b

Substitute:

Height = h = 15

Base = b = 8

A=1/2*8*15

Solve:  A=60

* represents multiplication

Find m<6 if m<8 = 112°

Answers

Answer:  112 degrees

Reason:

Angle 6 and angle 8 are corresponding angles because they are in the same southeast corner of their four-corner angle configuration. Corresponding angles are congruent when we have parallel lines like this.

Translate into an equation 53 is the sum of 20 and Rita’s savings

Answers

Step-by-step explanation:

I don't know the answer to that.

Answer:

53 minus 20 equal 33

Step-by-step explanation:

2. What is the domain of the function shown below?
у
A. -1 < x < 6
B. -1 < y = 6
C. -2 < x < 5
D. -1 3y = 6

Answers

Answer:

Option A is the correct answer

Step-by-step explanation:

[tex] - 1 \leqslant x \leqslant 6[/tex]

The domain of the function is -1 ≤ x ≤ 6 or x ∈ [-1, 6] option (A) -1 ≤ x ≤ 6 is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a given a graph of a function in the picture.

As we can see, the at point x = -1 graph starts, and it has dark dot which means function values exist at x = -1.

Similarly, at x = 6 the function value exist.

The domain of the function:

-1 ≤ x ≤ 6

Thus, the domain of the function is -1 ≤ x ≤ 6 or x ∈ [-1, 6] option (A) -1 ≤ x ≤ 6 is correct.

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Which set of angle measures CANNOT be the angle measures inside of a triangle?

45°, 45°, 45°
60°, 75°, 35°
60.5°, 59.5, 59°
65°, 60°, 55°

Answers

Answer:

Therefore, option A,B and C cannot be the angles of triangles.

Step-by-step explanation:

Given that total angles in a triangle is 180° so you have to add up all the angles :

Option A,

45° + 45° + 45° = 135° (Not a triangle)

Option B,

60° + 75° + 35° = 170° (Not a triangle)

Option C,

60.5° + 59.5° + 59° = 179° (Not a triangle)

Option C,

65° + 60° + 55° = 180° (It is triangle)

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