What is the net-price rate when a designer swimsuit, originally priced at $85 is discounted 25/60?

Answers

Answer 1

Answer: Designer's swimsuit is originally priced at 85 dollars.
NOw, it applied a discount which is 25/60. First, let's find out how much the discount rate.
=> 25 / 60 = 0.42 * 100 = 42% is the discount.
=> 85 dollars * 0.42 = 35.7 is the discount.
=> 85 dollars - 35.7 dollars = 49.3 dollars is now the price.

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A circular logo is enlarged to fit the lid of a jar. The new diameter is 50 per cent larger than the original. By what percentage has the area of the logo increased?a. 50
b. 80
c. 100
d. 125
e. 250

Answers

It is easier to show th anser using fractions.

Do=original diameter
Ao=Original area
Df=Final diameter
Af=Final area

Df=(1+50%)Do=(1+1/2)Do=3/2*Do

Ao=pi/4*(Do)^2
Af=pi/4*(Df)^2=pi/4*(3/2*Do)^2=pi/4*9/...

Comparing the initial and final area:

Af/Ao=(pi/4*9/4*(Do)^2)/(pi/4*(Do)^2)

simplifying

Af/Ao=9/4=225%

Therefore the increment is 9/4-1=5/4=125%

Or equivalently: 225%-100%=125%

Therefore the answer is "D."

Note: there is calculate the increment in the difference not how many times the area changed.

Hope this helps ;)

X + y - 4 = 0 x - y = 0 The solution lies in quadrant _____. I II III IV

Answers

Answer:

Quadrant I

Step-by-step explanation:

To find a quadrant, take the 2 equations and add them together for both x and y. The resulting point's quadrant is the solution.

X part

2x-4=0

add 4 to each side

2x=4

divide by 2

x=2

Y part

2-y=0

add 2

y=2

(2,2)

point (2,2) lies in quadrant 1

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Rickets is a condition in which cartilage breaks down in joints.

True
False

Answers

False the condition in which cartilage breaks down in joints is osteoarthritis

4. The first term of the sequence is -3 and the common ratio
is -1.

Answers

And the answer si +2 because negative + negative is equal to positive

What's the length of side b in the figure below? I posted a picture so you can view the actual problem. Please help.

Answers

the answer would be letter c because you have to use orders of operations io on aka A^2+B^2=C^2
how to set it up woulf look like this: a^2= 7^2
B^2=?, and C^2=13^2
in other words a=7squared
B=?
and C=13 squared
so the problem would end up like this:.7*7+B*2=13*13
49+B*2=169
so now you subtract 169 from 49 and that equals B*2=√120

we know that

in the right triangle of the figure

Applying the Pythagorean Theorem

$13^(2) =b^(2) +7^(2) \n b^(2) =13^(2)-7^(2)\n b^(2)=120\n b=√(120) \ cm$

therefore

the answer is the option

C) $b=√(120) \ centimeters$

amanda drove to the mountains last weekend. there was heavy traffic on the way there, and the trip took 7 hours. when amanda drove home, there was no traffic and the trip only took 5 hours. if her average rate was 18 miles per hour faster on the trip home, how far away does amanda live from the mountains?

Answers

The distance between the mountains and her residence is 315 miles.

What is speed?

Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance traveled by time. The unit of speed in miles per hour.

Given that Amanda drove to the mountains last weekend. there was heavy traffic on the way there, and the trip took 7 hours. when Amanda drove home, there was no traffic and the trip only took 5 hours. if her average rate was 18 miles per hour faster on the trip home.

The distance will be calculated as,

Distance = S x 7

The other distance is,

Distance = 5 ( S + 18 )

7S = 5S + 90

S = 45 miles

Distance = 45 x 7

Distance = 315 miles

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90 miles away since you multiply 18 times 5 would equal 90 miles away.

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Kathy is standing directly between two tall buildings which are 100 feet apart. Her eye level is 5 feet above the ground. Kathy looks up at the top of the taller building and the top of the shorter building with angles of 45 degrees and 38 degrees above the horizontal, respectively. What is the difference in height between the taller building and the shorter building, to the nearest foot?

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