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AlexFokin [52]
2 years ago
6

Frances left a 19% tip on a meal, including the tip, it's cost was $27.37. What was the cost of the meal before the tip?

Mathematics
1 answer:
Art [367]2 years ago
7 0
This is just multiplying and subtracting
So 19% in decimal is 0.19 
so 27.37 x 0.19 = 5.2 (If not rounded it is 5.2003)
5.2 - 27.37 = 22.17 (If not rounded 22.167)
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Emma has money into savings accounts. One rate is 8% and the other is 12%. If she has $450 more in the 12% account and the total
AveGali [126]

Let's say that the value invested in the account with a rate of 8% is "x", then the amount invested in the account with a rate of 12% is:

x+450

To calculate the total interest we need to calculate the interest of each individual account and sum them:

\begin{gathered} \frac{8}{100}\cdot x=0.08\cdot x \\ \frac{12}{100}\cdot(x+450)=0.12\cdot x+54 \end{gathered}

The total interest is the sum of the two expressions above:

\begin{gathered} 220=(0.08\cdot x)+(0.12\cdot x+54) \\ 220=0.08\cdot x+0.12\cdot x+54 \\ 220-54=0.2\cdot x \\ 166=0.2\cdot x \\ 0.2\cdot x=166 \\ x=\frac{166}{0.2} \\ x=830 \end{gathered}

The value invested in the account with 8% interest is 830, the one invested in the account with 12% interest is 1280.

7 0
1 year ago
A circle has a circumference of 45 cm. What is the BEST estimate of the circle’s diameter?
ch4aika [34]

Answer:

C) 15 cm is the best estimate.

Step-by-step explanation:

The exact answer is not there, so 15 is the best estimate.

You can use this equation to help you:

d=C/π

Where d is the diameter.

C is the circumference.

And the last one is Pi.

You know that C = 45, so divide that by Pi (3.14).

45/3.14159 = 14.32

The closest answer is 15.

Hope this helps! Have a great day!

8 0
2 years ago
Read 2 more answers
In ΔABC, the measure of ∠C=90°, BA = 41, CB = 40, and AC = 9. What ratio represents the cosine of ∠B?
blsea [12.9K]

Answer:

40/41

Step-by-step explanation:

From the given diagram;

BA is the hypotenuse = 41

AC is the opposite = 9

CB is the adjacent = 40

Cos<B = adjaccent/hyp

Cos<B = CB/BA

Cos<B = 40/41

Hence the required ratio is 40/41

3 0
3 years ago
a man buys and old bicycles for Rs 1850 and spend Rs 150 to repair it if he sells it at 25% profit find its selling price​
AysviL [449]

Answer:

Rs 2,500

Step-by-step explanation:

He has spent Rs1850 + Rs150 = Rs2000

if Rs2000 = 100%

             X = 125%

By cross multiplication, we get;

100x = 2000 * 125

x = 250000/100

x = Rs 2,500

5 0
3 years ago
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Lesechka [4]
Teachers and principles probably still want to keep school a little old fashioned while still having little technology by the next year or 2 we'll might not have to carry heavy backpacks anymore I wish you the best of luck. 
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2 years ago
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