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Natasha_Volkova [10]
3 years ago
15

The first discount on a camera was 18%. The second discount was 20%. After the two discounts the price became $328. What was the

original price?
Mathematics
2 answers:
ExtremeBDS [4]3 years ago
8 0

Answer:

$500

Step-by-step explanation:

Let the original price be X

18% discount means 100-18 = 82% to be paid

20% discount means 100-20 = 80% to be paid

(0.8)(0.82)X = 328

0.656X = 328

X = 328/0.656

X = 500

Lelechka [254]3 years ago
6 0

Answer:

500

Step-by-step explanation:

Let x be the original price

Take the first discount

x - 18 percent

x - .18x = new price

x( 1-.18)

x ( .82) = new price

Now we take a 20 percent discount

This is on the discounted price, use .82x

.82x - 20 percent= 2nd discounted price

.82x - .20(.82x)

.82x -.164x

.656x= 2nd discounted price

.656x = 328

Divide each side by.656

.656x/.656 = 328/.656

x =500

The original price was 500

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A civil engineer is analyzing the compressive strength of concrete. Compressive strength is normally distributed with A random s
wel

Answer:

95%: (3278.354 ; 3270.083)

99% : (3221.646 ; 3278.354)

Step-by-step explanation:

Given :

Sample size, n = 12

Mean, xbar = 3250

Sample standard deviation = √1000

The 95% confidence interval :

Mean ± Margin of error

Margin of Error = Tcritical * s/√n

Tcritical at 0.05, df=12-1 = 11 ;

Tcritical at 95% = 2.20

Hence,

Margin of Error = (2.20 * √1000/√12) = 20.083

Confidence interval : 3250 ± 20.083

Lower boundary = 3250 - 20.083 = 3229.917

Upper boundary = 3250 + 20.083 = 3270.083

2.)

The 99% confidence interval :

Mean ± Margin of error

Margin of Error = Tcritical * s/√n

Tcritical at 0.01, df=12-1 = 11 ;

Tcritical at 99% = 3.106

Hence,

Margin of Error = (3.106 * √1000/√12) = 28.354

Confidence interval : 3250 ± 28.354

Lower boundary = 3250 - 28.354 = 3221.646

Upper boundary = 3250 + 28.354 = 3278.354

3 0
3 years ago
R = {10, 15, 20}
Umnica [9.8K]

Answer:

R n S = {20}

Step-by-step explanation:

n in sets means same elements found in the sets which are being compared

5 0
3 years ago
Evaluate x + y when x = -94 and y = 24<br><br>A: -118<br>B: -70<br>C: 70<br>D: 118​
malfutka [58]
It’s b because 94 is negative so that means you have to subtract to get -70
8 0
3 years ago
Read 2 more answers
Help I’ve been working on this problem for about 2 days and I still don’t get it and please explain and show me how to do the wo
Bond [772]

the boiling point of jet fuel is 329 degrees F. Rounded to the nearest degree, what is the temperature in degrees Celcius? Use the Formula: C = 5/9(F - 32), where C represents degrees celcius, and F represents degrees fahrenheit.

A). 165 degrees C

B). 183 degrees C

C). 201 degrees C

D). 535 degrees C

Solve:

C = 5/9(F - 32)

Simplify both sides:

C = 5/9(329 - 32) = 0

Simplify:

5/9

Equation at end of step 1:

C - (5/9 * 297) = 0

C - 165 = 0

Solve single variable:

C - 165 = 0

Add 165 to both sides:

C = 165

Therefore, Your answer would be, Letter Choice (A), (C = 165 degrees C

Hope that helps!!!!! Have a great day!!!!! : )

4 0
3 years ago
marge cut 16 pieces of tape for mounting pictures on poster board. each piece of tape was 3/8 inch long. how much tape did marge
Tomtit [17]

Answer:

Total tape used by marge is 6 inches .

Step-by-step explanation:

As given

marge cut 16 pieces of tape for mounting pictures on poster board.

Each\ piece\ of\ tape\ was\ \frac{3}{8}\ inch\ long.

Total tape marge uses = Number of pieces × Each piece length

Total\ tape\ marge\ uses = \frac{16\times 3}{8}

Total tape marge uses = 2 × 3

                                      = 6 inches

Therefore the total tape used by marge is 6 inches .

8 0
3 years ago
Read 2 more answers
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