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9966 [12]
4 years ago
9

A $250 gaming system is discounted by 25%. It was then discounted another 10% because the box was opened by a customer. a. The s

ale price of the gaming system is _______$ b. After both discounts are taken, the total percent discount is______$
Mathematics
1 answer:
iris [78.8K]4 years ago
3 0

Answer:

a. Sale Price=\$168.75

b. Total percent discount=32.5\%

Step-by-step explanation:

First Discount:

Initial Price=\$250

Discount=25\%

25\%\ of\ 250=\frac{25}{100}\times 250=62.5\\\\Now\ Price=250-62.5=$187.5

Second Discount:

Price=187.5\\\\Discount=10\%\\\\10\%\ of\ 187.5=\frac{10}{100}\times 187.5=18.75\\\\Now\ Sale\ Price=187.5-18.75=\$168.75

Effective Discount:

Initial Price=\$250

Final Price=\$168.75

Total discount=250-168.75=81.25

\%\ discount=\frac{81.25}{250}\times 100=32.5\%

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You want to build a wheelchair ramp leading up to your house. Your front door is 2 feet higher than the driveway and you would l
Alenkasestr [34]

Answer: (a) The angle the ramp forms with the driveway, s° = 4.004° (3 d.p)

(b) The driveway has to be, s = 28.57 ft

(c) The ramp will be 28.64 ft long

Step-by-step explanation:

First key thing to know is that the %grade of a ramp = rise/ramp run

%grade of a ramp = 7% = 0.07

(Kindly find attached a diagram to assist with understanding).

Also note that, <em>the ramp run is not the same as the ramp length</em>

(a) the angle, θ, is the angle of slope between the driveway and the ramp,

tan θ = 0.07,

θ = tan⁻¹ 0.07 = 4.004° (3 d.p)

(b) the length of the driveway (s) is the same as the length of the ramp run, so, %grade of a ramp = rise/ramp run

0.07 = 2/s

s = 2/0.07 = 28.57 ft (2 d.p)

(c) the length of the ramp can be found by using Pythagoras' theorem,

L = ramp length =\sqrt{rise^{2} + ramprun^{2} }

L = \sqrt{2^{2} +28.571^{2} }

L = \sqrt{820.3041}

L = 28.64 ft (2 d.p)

4 0
3 years ago
How to Estimate √40 to the nearest tenth.
notka56 [123]

Answer:

Square Root of 40 to the Nearest Tenth

Square Root to the nearest tenth

Square Root of 40 to the nearest tenth, means to calculate the square root of 40 where the answer should only have one number after the decimal point.

Here are step-by-step instructions for how to get the square root of 40 to the nearest tenth:

Step 1: Calculate

We calculate the square root of 40 to be:

√40 = 6.32455532033676

Step 2: Reduce

Reduce the tail of the answer above to two numbers after the decimal point:

6.32

Step 3: Round

Round 6.32 so you only have one digit after the decimal point to get the answer:

6.3

To check that the answer is correct, use your calculator to confirm that 6.32 is about 40.

Step-by-step explanation:

Pls mark brainliest tyy!!

7 0
3 years ago
Answer the 3 questions PLEASE
liberstina [14]
8. it’s skewed right
9. The spread is 21 to 100
10.the center is 80 or 81
3 0
3 years ago
S
Novay_Z [31]

Step-by-step explanation:

s is inversely proportional to t

If s= 0.6 , t= 4

s=k/t

0.6= k/4

k=2.4

If s=12, then

t=k/s

t=2.4/12

t=0.05

8 0
3 years ago
What is the yintercept of f(x) =(1/2)^x<br> ?
Anestetic [448]

\text{Find the y-intercept:}\\\\\text{To fidn the y-intercept, we would have to plug in 0 to x. Since the y-intercept}\\\text{exists whenever x is equal to 0}\\\\\text{Solve:}\\\\f(x)=(\frac{1}{2})^0\\\\\text{We know that whenever the exponent is 0, it equals to 1}\\\\f(x)=1\\\\\text{Therefore, this makes the y-intercept 1.}\\\\\text{Answer is stated as a point on the graph}\\\\\boxed{(0,1)}

4 0
3 years ago
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