answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
adoni [48]
1 year ago
11

Andrea went to the store to buy sweater that was on sale for 40% off the original price it was then put on clearance an addition

al 25% off the sale price she also use a coupon that saved her an additional five dollars and J did not spend more than $7.60 for the sweater what are the possible values for the original price of the sweater?
Mathematics
2 answers:
PilotLPTM [1.2K]1 year ago
5 0

Answer:

The original price was $28.

Step-by-step explanation:

Let the original price be = x

There was 40% off on x.

So, sales price was = x-0.40x=0.60x

Tt was then put on clearance an additional 25% off the sale price.

Means the price now becomes: 0.60x-0.25(0.60x)=0.45x

With the help of coupon, she got $5 off and paid no more than $7.60, so the equation becomes:

0.45x-5\leq 7.60

=> 0.45x \leq 7.60+5

=> 0.45x \leq 12.60

=> x\leq 28

Hence, the original price of the sweater was $28.

sergeinik [125]1 year ago
4 0
About $16.88 (give or take a few cents)
You might be interested in
Answer below these questions
timurjin [86]

Answer:

A: 6x⁸y⁵

B: 4x⁵z⁸

C: 48a¹²b⁵

D: 6s⁹t³

Step-by-step explanation:

When you multiply 2 exponents together, you add them. When you power an exponent, you multiply the 2 exponents together,

3x²2y⁴(2x⁶y)

6x⁸y⁵

xz³(4x⁴z⁵)

4x⁵z⁸

(4a³)²(3a⁶b⁵)

16a⁶(3a⁶b⁵)

48a¹²b⁵

6s⁵t(s⁴t²)

6s⁹t³

3 0
2 years ago
A piece of paper is to display ~128~ 128 space, 128, space square inches of text. If there are to be one-inch margins on both si
Grace [21]

Answer:

The dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches

Step-by-step explanation:

We have that:

Area = 128

Let the dimension of the paper be x and y;

Such that:

Length = x

Width = y

So:

Area = x * y

Substitute 128 for Area

128 = x * y

Make x the subject

x = \frac{128}{y}

When 1 inch margin is at top and bottom

The length becomes:

Length = x + 1 + 1

Length = x + 2

When 2 inch margin is at both sides

The width becomes:

Width = y + 2 + 2

Width = y + 4

The New Area (A) is then calculated as:

A = (x + 2) * (y + 4)

Substitute \frac{128}{y} for x

A = (\frac{128}{y} + 2) * (y + 4)

Open Brackets

A = 128 + \frac{512}{y} + 2y + 8

Collect Like Terms

A = \frac{512}{y} + 2y + 8+128

A = \frac{512}{y} + 2y + 136

A= 512y^{-1} + 2y + 136

To calculate the smallest possible value of y, we have to apply calculus.

Different A with respect to y

A' = -512y^{-2} + 2

Set

A' = 0

This gives:

0 = -512y^{-2} + 2

Collect Like Terms

512y^{-2} = 2

Multiply through by y^2

y^2 * 512y^{-2} = 2 * y^2

512 = 2y^2

Divide through by 2

256=y^2

Take square roots of both sides

\sqrt{256=y^2

16=y

y = 16

Recall that:

x = \frac{128}{y}

x = \frac{128}{16}

x = 8

Recall that the new dimensions are:

Length = x + 2

Width = y + 4

So:

Length = 8 + 2

Length = 10

Width = 16 + 4

Width = 20

To double-check;

Differentiate A'

A' = -512y^{-2} + 2

A" = -2 * -512y^{-3}

A" = 1024y^{-3}

A" = \frac{1024}{y^3}

The above value is:

A" = \frac{1024}{y^3} > 0

This means that the calculated values are at minimum.

<em>Hence, the dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches</em>

3 0
1 year ago
What is the true solution to In 20+In 5= 2 In x?<br><br>#31<br>​
Neko [114]

Answer:

ln20+ln5=2lnx

ln(20x5)=lnx^2

ln100=1nx^2

100=x^2

square root

x=10

Hope This Helps!

5 0
2 years ago
The swimming instructor has a list of 152 students who have signed up for swimming lessons. The swimming instructor can register
andrew-mc [135]

Answer:

2. 13

Step-by-step explanation:

The least number of classes need for all of the students to be registered in a class is 13 since you want all of the stuednts to be registered so no one should be left out. If we do 12*12 (12 students in each class and there are 12 classes), that would only let 144 students take the swimming classes and 8 students would be left out. We don't want that though since we want all of the students to be registered. So let's go to 12*13 (12 students in each class and  there are 13 classes), that would let 156 students take the swimming class. 156>152 so therefore, 13 classes would allow for all 152 students to be registered and it is the least number of classes needed for all the students to be registered in a class (plus you would have 4 seats left for anyone who wants to register in the future but the remainder doesn't matter).  

6 0
2 years ago
Christmas Tree lights are used not only for Christmas trees, but sometimes to decorate college dorm rooms. Suppose that a string
puteri [66]

Answer: Hello!

Ok, because the bulbs are wired in series, then if only one fails, all the string fails.

Then we need to see the probability for the 20 bulbs to not fail.

If the probability for each bulb to fail is 0.02, then the complement (or the probability of working fine) is 1 - 0.02 = 0.98

then we have 20 bulbs, and each one has a probability of 0.98 of working alright, then the probability for all them to work alright is the multiplication of this probabilities, this is

0.98^{20} = 0.6676

rounded up in the decimal, we have 0.668

then the correct answer is c.

6 0
1 year ago
Other questions:
  • Ed Sloan invests $1,600 at the beginning of each year for eight years into an account that pays 10% compounded semiannually. The
    13·2 answers
  • Mrs. Patil bought 4 packs of pencils for her class. Then she bought 3 more packs of pencils. There are 12 pencils in a pack. How
    13·2 answers
  • Explain why two employees at a company, earning the same gross pay, might have different net pays.
    14·2 answers
  • If m&lt;BEG = (19x + 3)° and m&lt;EGC = (m&lt;GCB + 4x)°, which of the following statements is true about quadrilateral BEGC? Se
    5·1 answer
  • Convert to a percent 4.44 3/5
    6·1 answer
  • Hailey paid $13 for 1 3/7 kg of sliced salami <br><br> What was the cost per kilogram of salami
    13·2 answers
  • D2-9k+3 for d=10 and k=9
    12·1 answer
  • Using V = lwh, what is an expression for the volume of the following prism? The dimensions of a prism are shown.
    7·2 answers
  • Which polynomial correctly combines the like terms and expresses the given polynomial in standard form?
    12·2 answers
  • 1. There are 125 juniors at the high school.How many ways can they elect a
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!