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Scrat [10]
3 years ago
10

(1. A jacket's original price is $65.00. it is on sale for 40% off. you have to pay 5% sales tax. what is the final price for th

e jacket?
(2. 16/50 = x/156.25

(3. Favorite sport to watch.  42% like football   25% like soccer   33% like baseball

if 210 people like football then how many people where surveyed?

Show your work please
Mathematics
2 answers:
IrinaVladis [17]3 years ago
7 0
1) 65x .6= 39
39x 1.05= 40.95
Answer: $40.95

2)156.25/50= 3.125
3.125x16=50
x=50

3) 210     42
    ------ = -----
       x       100

210x100= 21000
21000÷42=500

500 people were surveyed
Llana [10]3 years ago
3 0

Answer: 1) Final price of the jacket = $40.95

2)  x = 50

3)  Total number of people is 500

Step-by-step explanation:

since we have given that

1) Original price of jacket = $65.00

Discount rate on jacket = 40%

Discount is given by

\frac{40}{100}\times 56\\\\=0.4\times 65\\\\=\$26

So, the price becomes

\$65-\$26\\\\=\$39

Rate of sales tax = 5%

Amount of sales tax is given by

\frac{5}{100}\times 39\\\\=0.05\times 39\\\\=\$1.95

Final price of the jacket is given by

39+1.95\\\\=$40.95

2) \frac{16}{50}=\frac{x}{156.25}

We need to solve for 'x':

\frac{16}{50}=\frac{x}{156.25}\\\\16\times 156.25=50\times x\\\\2500=50x\\\\\frac{2500}{50}=x\\\\x=50

Hence, x = 50

3)Number of people who like football = 210

Percent of people who like football = 42%

Let the total number of people be x

According to question,

\frac{42}{100}\times x=210\\\\0.42x=210\\\\x=\frac{210}{0.42}\\\\x=500

Hence, total number of people is 500.


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Step-by-step explanation:

2.3 times 1.43 = 3.289 rounded to 3.30

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I hope this helps! 
6 0
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What is the equation of the line that passes through the point (–5,–6) and has a slope of zero?
Lorico [155]

Answer:

y = -6

Step-by-step explanation:

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5 0
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Martha drew a pair of intersecting non-perpendicular lines, I and m. She numbered one pair of vertical angles &lt;1 and &lt;2, a
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Answer:

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8 0
3 years ago
There are two numbers, one is 7 more than twice the other. The sum of the numbers is 43. Make the equation to find the smaller n
Mrrafil [7]

Answer:

Smaller number: 12

Greater number: 31

Step-by-step explanation:

Hi there!

Let x equal to the smaller number.

Let y be equal to the greater number.

<u>1) Translate the information into equations</u>

"One is 7 more than twice the other"

⇒ y=2x+7

"The sum of the numbers is 43"

⇒ x+y=43

<u>2) Use substitution to solve for the smaller number</u>

x+y=43

Plug the equation y=2x+7 into the above equation

x+(2x+7)=43\\x+2x+7=43\\3x+7=43

Subtract both sides by 7

3x+7-7=43-7\\3x=36

Divide both sides by 3 to isolate x

\frac{3x}{3} = \frac{36}{3} \\x=12

Therefore, the smaller number equates to 12.

<u>3) Use substitution to solve for the greater number</u>

x+y=43

Plug in x as 12

12+y=43

Subtract both sides by 12 to isolate y

12+y-12=43-12\\y=31

Therefore, the greater number equates to 31.

I hope this helps!

3 0
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