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AlladinOne [14]
1 year ago
13

Estimate a 15% tip on a dinner bill of $61.53 by first rounding the bill amount to the nearest $10

Mathematics
1 answer:
adelina 88 [10]1 year ago
5 0

well, 61.53 is really 10 + 10 + 10 + 10 + 10 + 10 + 1.53.

well, 1.53 doesn't really come nowhere near close to round up to 10, so it boils down to 0, so 61.53 will just be 10 + 10 + 10 + 10 + 10 + 10 + 0 or just 60 once rounded up, now, what's 15% of 60?

\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{15\% of 60}}{\left( \cfrac{15}{100} \right)60}\implies 9

well, we can get the 15% of 61.53 by just (15/100) * 61.53

however, the exercise is asking on rounding it up to "tens" first

61.53 has "10" six times plus 1.53, the rounding happens with the "surplus"

in this case the surplus is 1.53.

now, for rounding anything the tipover point is at the half, for $10 the half is $5, so if the amount is $5 or more, rounds up to $10, if less than that goes to 0.

1.53 is nowhere near 5, which is the halfpoint or tipover point, because of that, it rounds up to 0, so 61.53 rounded up to "tens" only will be "six tens" only, or 60.

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For every 14 ice-cream cones you buy, you get 2 free. How many free ice-cream cones will you get if you buy 56 cones?
Ksenya-84 [330]
Ok so i just did 56/14 and got 4. So this means 14 goes into 56 4 times, so now i did 4 x 2 and got 8. So the answer is 8 free cones.

4 0
3 years ago
Compare numbers to their opposites based on their positions on a number line. Choose ALL true statements based on these comparis
Anvisha [2.4K]

Answer:

A, B, E

Step-by-step explanation:

I'm not too sure about B, but A and E are definitely true

8 0
3 years ago
The price for the items ordered at lunch was $23.45. How much would the price be after tax and tip if the tax rate is 8% and you
kiruha [24]
Cost of items = $23.45

Tax = 8% of $23.45 = 0.08*23.45 = $1.88
Tip = 20% of $23.45 = 0.2*23.45 = $4.69

Total cost = 23.45 + 1.88 + 4.69 = 30.02

Answer: $30.02

8 0
3 years ago
To conserve water, many communities have developed water restrictions. The water utility charges a fee of $38, plus an additiona
earnstyle [38]

Using a linear function, the correct option regarding the situation is given by:

C) 57 ≤ 1.28x + 38 ≤ 87; To stay within the range, the usage should be between 14.8 and 38.3 HCF.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The bill is modeled by a linear function, with an <u>intercept of $38 and a slope of $1.28</u>, hence it is given by:

C(x) = 1.28x + 38

The bill should be between $57 and $87 dollars per month, hence:

57 <= C(x) <= 87.

The values of x are:

C(x) >= 57

1.28x + 38 >= 57

x >= 19/1.28

x >= 14.8.

C(x) >= 87

1.28x + 38 >= 87

x >= 49/1.28

x >= 38.3.

Hence option C is correct.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

8 0
2 years ago
Please help with 3. 4. 5.
Eddi Din [679]
3.
\text{The Triangle Sum Theorem:}\\m\angle A+m\angle B+m\angle C=180^o
x+2x-1+3x+1=180\\6x=180\ \ \ |:6\\x=30
x^o=30^o\\(3x+1)^o=(3\cdot30+1)^o=91^o\\(2x-1)^o=(2\cdot30-1)^o=59^o
4.
r-6+3r-3+5r=180\\9r-9=180\ \ \ |+9\\9r=189\ \ \ |:9\\r=21
(r-6)^o=(21-6)^o=15^o\\(3r-3)^o=(3\cdot21-3)^o=60^o\\(5r)^o=(5\cdot21)^o=105^o
5.
\text{The Exterior Angle Theorem:}\\m\angle CAB+m\angle ABC=m\angle DCB
2g+9g=110\\11g=110\ \ \ |:11\\g=10
m\angle A=2\cdot10^o=20^o\\m\angle ACB=180^o-110^o=70^o\\m\angle B=9\cdot10^o=90^o
4 0
3 years ago
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