MATHEMATICS HIGH SCHOOL

Kitchen chairs are purchased wholesale for $36 by a discount furniture store. Then, the store marks up the chairs by 60 percent. The store has a special sale where all items are marked down by 20 percent. How much would two chairs cost during the sale?

Answers

Answer 1

Answer:

As a result of the sale, two chairs can be purchased at the discounted price of $92.16.

After the store bought the chairs for $36, they gave it a markup of 60%. The new price is:

= Cost of chair + Markup

= 36 + (60% x 36)

= $57.60

They then reduced this price by 20%:

= Marked up price - Discount

= 57.60 - (20% x 57.60)

= $46.08

Two chairs are to be bought:

= 46.08 x 2

= $92.16

In conclusion, two chairs would cost $92.16

Find out more at brainly.com/question/18410539.

Answer 2

Answer: starts at 36....marks up by 60%
36 + 0.60(36) = 36 + 21.60 = 57.60
now they mark it down by 20%
57.60 - 0.20(57.60) = 57.60 - 11.52 = 46.08

46.08 * 2 = 92.16

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4. solve
e) 4^x-10.2^x+16=0
I think the dot means multiply?

Answers

$4^x-10\cdot2^x+16=0\Rightarrow(2^2)^x-10\cdot2^x+16=0\Rightarrow(2^x)^2-10\cdot2^x+16=0$

$subtitute\ 2^x=t > 0\n\nt^2-10t+16=0\nt^2-2t-8t+16=0\nt(t-2)-8(t-2)=0\n(t-2)(t-8)=0\iff t-2=0\ or\ t-8=0\n\nt=2\ or\ t=8\n\nt=2^1\ or\ t=2^3\n\ntherefore\ 2^x=2^1\ or\ 2^x=2^3\n\nAnswer:\boxed{x=1\ or\ x=3}$

2^x=a
4^x=(2^2)^x=(2^x)^2=a^2

a^2-10a+16=0
Δ=10^2-4*1*16=100-64=36
√Δ=6
a1=(10+6)/2=16/2=8
a2=(10-6)/2=4/2=2
2^x=8=2^3⇒ x=3 or
2^x=2=2^1⇒ x=1

There are 2 solutions : x=1 or x=3

There is 12 inches in 1 foot and there is 5,280 feet in one mile. Elena ran 3-1/4 miles. How many feet is that?

Answers

Answer: The values is 2.5 miles converted to 158,400 inches

Step-by-step explanation:

12 inches = 1 foot and

5280 feet = 1 mile

Convert 2.5 miles to inches

Convert inches to feet :

5280 feet is equivalent to 1 mile

x = 2.5 miles

x = 5280 x 2.5

x = 13200 feet

Then convert 13,200 feet to inches

Because 12 inches is equivalent to 1 foot

x = 13200 feet

x = 12 x 13200

x = 158,400 inches

Therefore 2.5 miles converted to inches is 158,400 inches

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Answers

You haven't told us whether 9 and 12 are the two legs of the triangle, or whether the 12yd is the longest side.

If the 9 and the 12 are the two legs, then:
C² = A² + B²
C² = 81 + 144
C² = 225
C = 15 yd

If the 12 is the longest side, then:
(12)² = (9)² + B²
B² = (12)² - (9)² = 144 - 81 = 63
B = √63 = 7.937yd (rounded)

Samira ran around a park loop that was 1/3 mile long. She ran around the loop 9 times. Samira says she ran 9/3 miles. Her brother Amal says she ran 3 miles. Who is correct? Use words and drawings to explain how you know.

Answers

They are both correct because 9/3 is equal to 3

The brother is correct by convention but technically they are the exact same number, I'd just say the brother because he simplied it to be a more usable number.

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