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3 years ago

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After eating dinner at a restaurant your bill was $56. You plan to leave a 20% tip. What will your total cost be? (Hint: find th

e tip amount first).
i need the answer soon!!

1 answer:

DerKrebs [107]3 years ago

3 0

Answer: $67.20

Step-by-step explanation:

56 × 0.2 = 11.2

11.2 + 56 = $67.20

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SAVE ME. Please Answer my Questions Clevers.

Vladimir [108]

Answer:

See below

Step-by-step explanation:

Q1. if a counting number is selected at random from a set of whole number less than or equal to 20 find the probability of getting:

Counting numbers are Natural numbers: $\mathbb{N}$

Also, we have Whole numbers. Despite not having an official symbol, I usually denote the set as $\mathbb{Z}_{\ge 0}$

<u>Whole numbers less than or equal to 20</u>: $A\leq 20, A \subset \mathbb{Z}_{\ge 0} \\\implies A=\{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20\}$

<u>A. Prime numbers</u>

From the set A, the prime numbers are 2, 3, 5, 7, 11, 13, 17, 19.

Once we have 21 numbers in total and 8 prime numbers, the probability is:

$P=\frac{8}{21} \approx 40\%$

<u>B. Composite numbers</u>

From the set A, the composite numbers are 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20.

Once we have 21 numbers in total and 11 composite numbers, the probability is:

$P=\frac{11}{21} \approx 52\%$

<u>C. Divisible by three</u>

From the set A, the numbers divisible by three are 3, 6, 9, 12, 15, 18.

Once we have 21 numbers in total and 6 numbers divisible by three, the probability is:

$P=\frac{6}{21} \approx 30\%$

<u>D. Square of 2</u>

From the set A, the numbers square of 2 are 0, 1, 4, 9, 16.

$\sqrt{0} =0$

$\sqrt{1} =1$

$\sqrt{4} =2$

$\sqrt{9} =3$

$\sqrt{16} =4$

Once we have 21 numbers in total and 5 numbers square of 2 , the probability is:

$P=\frac{5}{21} \approx 24\%$

Q2. The opposite angle of acyclic quadrilaterals is in the ratio of 2:3. Find the degree measure of each opposite angle?

Once they're opposite, they add up to 180º

$2x+3x=180 \implies 5x=180 \implies x=36$

The first angle is 72º

The second angle is 108º

Q3. what is the solution set of 9x-4<13x-7 (domain, x e z) ?

$x \in \mathbb{Z}\\$

$x>\frac{3}{4}$

$x\in \left(\frac{3}{4},\infty \right)$

Q4. if three fourth of a number is one tenths, what is the number?

$\frac{3}{4} x =\frac{1}{10} \implies 3x=\frac{4}{10} \implies \boxed{x = \frac{2}{15}}$

Q5. which one is the equation of the line passing through the origin and having a slope 4?

$y=mx+b$

$m: \text{slope}$

$b: \text{y-intercept}$

B. Y= 4x

7 0

3 years ago

Solve the equation for y<br> Y minus 5 equals 1/3 (x plus 12)

Vinvika [58]

Answer:

ok so this problem you are basically just rearranging it. you're going to want y by itself.

Step-by-step explanation:

let's start with the original equation: 5-y=1/3x +12

so first you have to move the five over, so you subtract 5 from both sides. -y=1/3x+12-5

then you subtract the 5 from the twelve since they're like terms: -y=1/3x+7

and finally you have to move the negative over. when you move the negative think of it like dividing negative one from both sides, everything on the other side has to get the negative.

so we're left with y=-1/3x-7

I hope this helps!

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3 years ago

There are two major tests of readiness for college, the act and the sat. act scores are reported on a scale from 1 to 36. the di

ch4aika [34]

Standardized z score for the act result = (30 - 21.5) / 5.4 = 1.574

so for the sat ressult we have 1.574 = (X - 1498) / 316

X = 316 * 1.574 + 1498 = 1995 answer

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3 years ago

Use the table to write a proportion

Marizza181 [45]

Answer:

n = 17

$\frac{n}{85}= \frac{34}{170}$

Step-by-step explanation:

$\frac{n}{85}= \frac{34}{170}$

n · 170 = 34 · 85

170y = 2890

170y ÷ 170 = 2890 ÷ 170

y = 17

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2 years ago

Solve the system of equations by substitution.<br> y = 3x-7<br> 2x + 5y = 16

Virty [35]

Answer:

In the picture

Step-by-step explanation:

Hope that helps.

8 0

3 years ago