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lawyer [7]
2 years ago
12

A customer at a restaurant leaves $80 on the table to pay for the food, a 15% tip, and 8% sales tax. If both tip and sales tax w

ere calculated from
the cost of the food, which of the following was the cost of the food, rounded to the nearest cent?
Mathematics
1 answer:
Romashka-Z-Leto [24]2 years ago
3 0

Answer:

<em>$65.04</em>

<em></em>

Step-by-step explanation:

Given:

Total amount left by the customer on table = $80

It contains cost of the food + 15% tip + 8% sales tax.

Sales tax and tip are calculated from the cost of food.

To find:

Cost of the food = ?

Solution:

Let the cost of food = $x

As per given question statement:

Tip = 15% of x

Sales Tax = 8% of x

Money left on table = Cost of food + Tip + Sales tax

$80 = x + 15% of x + 8% of x

Now, let us solve the equation:

\$80 = x + 15\%\ of\ x + 8\%\ of\ x\\\Rightarrow 80 = x + \dfrac{15}{100} \times x + \dfrac{8}{100} \times x\\\Rightarrow 80 = \dfrac{100x + 15\times x + 8\times x}{100}\\\Rightarrow 80 = \dfrac{123x}{100}\\\Rightarrow 80 \times 100= 123x\\\Rightarrow x = \dfrac{8000}{123}\\\Rightarrow \bold{x = \$65.04}

Therefore, the cost of food, rounded off to nearest cent is <em>$65.04.</em>

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Tems11 [23]

Answer:

100x+120y = z

z= $ 63000

Step-by-step explanation:

Product               Welding          Assembly       Painting                Cont. to profit

X                              2x hours            3x hours          1xhour         =        $100x

Y                              3y hours            2y hours           1y hour        =       $120y

<u>                                                                                                 </u>

Total hours          1500 hours        1500 hours     550 hours

available

Let X represent product X

Let Y represent Product Y

2x + 3y = 1500

x + y = 550

y= 550-x

2x + 3(550-x) = 1500

2x + 1650- 3x = 1500

150 = x

y = 550-150

y = 400

Objective Function Z = 100x + 120y

Z = 100(150) + 120( 400)

Z = 15000+48000

Z = $63000

7 0
2 years ago
Amee received an end of year bonus of $1550 at work and went on a shopping spree. She spent $225 at the department store, $275 a
atroni [7]

Answer: She has $1022 left.

Step-by-step explanation:

The total amount that Amee received an the end of year as bonus at work is $1550.

She went on a shopping spree, spending $225 at the department store, $275 at the home furnishing store, and $28 at the card shop. Therefore, the total amount that she spent at the department store, the home furnishing store, and the card shop is

225 + 275 + 28 = $528

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6 0
2 years ago
Louden County Wildlife Conservancy counts butterflies each year. Data over the last three years regarding four types of butterfl
MrRa [10]

Incomple question. However, here's the remaining part of the question:

14

2009

Meadow Fritillary= 5

Variegated Fritillary= 7

Zebra Swallowtail= 33

Eastern-Tailed Blue= 242

Louden County Butterfly Count

2010

Meadow Fritillary 34

Variegated Fritillary 95

Zebra Swallowtail 21

Eastern-Tailed Blue 168

2011

Meadow Fritillary

Variegated Fritillary

Zebra Swallowtail

Eastern-Tailed Blue

10

170

<u>Options</u>:

A) All butterfly populations are steadily decreasing.

B)All butterfly populations were larger than usual in 2010.

C)The Eastern-Tailed Blue butterfly is more common than the others.

D)The Meadow Fritillary is equally common as the Variegated Fritillary

Answer:

<u>C</u>

Step-by-step explanation:

Looking through the above count data by Louden County Wildlife Conservancy from 2009 to 2011 we notice the Eastern- Trailed Blue butterfly has a higher count, which implies that the Eastern-Tailed Blue butterfly is more common than the other butterflies.

Therefore, we could infer from the samples, that the Eastern-Tailed Blue butterfly is more common than others from the records of the past 3 three years.

5 0
2 years ago
Write an expression involving integers for each statement a) moving 4 steps left, then moving 9 steps right b) on 3 separate occ
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Answer:

a) x-4+9

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For part b, I am not 100% sure about my answer, but I am sure about part a.

3 0
2 years ago
In the rectangular prism below, the length of MR is 8 inches, the length of RS is 9 inches, and the length of ST is 12 inches.
Sever21 [200]
Unfortunately, there's no diagram here!  But the prism is described as "rectangular."  Thus, the volume is simply (length)(width)(height) cubic inches.  Multiply: (8 inches)(9 inches)(12 inches).
4 0
2 years ago
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