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ch4aika [34]
4 years ago
7

you are ordering a meal and you have $15 to spend the the restaurant charges 6% sales tax you plan to leave a 15% tip the equati

on C equals X Plus 0.06x + 0.15x gives the total cost of c of your meal, where x is the cost before tax and tip. What is the maximum amount you can spend before tax and tip.
Mathematics
1 answer:
Rudik [331]4 years ago
5 0

C = x + 0.06x + 0.15x

15 = 1.21x

15/1.21 = x

12.40 = x

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Simplify the expression. Write your answer as a power.<br><br> (−5/7)^8⋅(−5/7)^9
dem82 [27]

Answer: (-\frac{5}{7})^{17}

Step-by-step explanation:

The expression can be simplified by applying the a properties of exponents, specifically the Product of powers, which states that:

(b^a)(b^c)=b^{(a+c)

Where b is the base and a and c are exponents.

 Then simplify it by rewriting the base (-\frac{5}{7}) and adding the exponents of the expression (8 and 9).

You will get the expression simplified and written as a power:

(-\frac{5}{7})^8(-\frac{5}{7})^9=(-\frac{5}{7})^{(8+9)}=(-\frac{5}{7})^{17}

3 0
3 years ago
Gobe weighs 53.6 kg. he wears shoes which weigh 450 gm and carries a school bag weighing 4.5 kg. if he stands on the scales in h
-Dominant- [34]

Answer:

The key to this question is converting all the mass units to the same unit and adding them all up.

The only value that isn't consistent with the other units is 450 gm or grams.

Recall that 1 gram is equal to 0.001 kilo grams. So if you want to convert grams to kilograms you would multiply that amount by 0.001 or 1/1000

450gm * \frac{1}{1000} = 0.45kg

Now let's add up all the masses.

53.6kg + 0.45kg + 4.5kg = 58.55 kg\\

(Now a few footnotes here, that I considered but wasn't sure about. The answer asks for weight, but you're only given mass to work with. That would be fine, if the question asked you to convert it to SI weight units like Newtons, but there's no mention of that. And also I'm not sure if the question requires significant digits. But I'll continue the answer if you think so)

To convert this into weight in Newtons, multiply by 9.81 m/s^2

58.55kg*9.81m/s^2 = 574.3755 N\\\\= 5.7 * 10^2 N

6 0
3 years ago
Bouncing Baby Company sells their cribs for the following amounts to stores
xz_007 [3.2K]

Answer:

Option C

Step-by-step explanation:

Since, Price of cribs (P) are proportional to the proportional to the number of cribs (N) sold,

P ∝ N

P = kN

Here 'k' is the proportionality constant

To get the value of proportionality constant,

Since, value of 10 cribs is $1320

1320 = k(10)

k = 132

Therefore, equation will be

P = 132N

Option A

If number of cribs = 6

P = 132(6) = $792

False.

Option B

For N = 22

P = 132(22) = $2904

False.

Option C

For N = 40

P = 132(40) = $5280

True

Option D

For N = 55

P = 132(55) = $7260

False

Option E

For N = 80

P = 132(80)

  = $10560

False

Option F

For N = 250

P = 132(250)

  = $33000

False

If the given options have been written correctly only one option, Option (C) is correct.

4 0
3 years ago
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