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Julli [10]
3 years ago
12

a.A restaurant bill is $21. You leave a 15% tip. How much do you pay including the tip? b. Which of the following represents the

amount a customer pays including the tip of 15% if the bill was dollars? Select all that apply.

Mathematics
1 answer:
avanturin [10]3 years ago
5 0

Answer:

$ 24.15

Step-by-step explanation:

100%= $21

(100+15)% =115% ×$21

(115/100)*21= 24.15$

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write a system of linear equations that has only one solution. solve the system of equations in two ways.
Iteru [2.4K]
X + 5y = 1 . . . . (1)
8x - 2y = 3 . . . .(2)
Solution 1.
From (1), x = 1 - 5y
substituting for x in (2), we have:
8(1 - 5y) - 2y = 3
8 - 40y - 2y = 3
8 - 42y = 3
42y = 5
y = 5/42
x = 1 - 5(5/42) = 1 - 25/42 = 17/42.

Solution 2.
Multiply (1) by 8, to get:
8x + 40y = 8 . . . . . (3)
(3) - (2) = 40y - (-2y) = 8 - 3
42y = 5
y = 5/42
substitute for y into (3), to get:
8x + 40(5/42) = 8
8x + 100/21 = 8
8x = 8 - 100/21 = 68/21
x = (68/21)/8 = 17/42
7 0
3 years ago
The circumference of a circle is 37. 68 ft. What is the radius of the circle?.
mixer [17]

Answer:

r = 6 ft

Step-by-step explanation:

3 0
2 years ago
12. For which of the following solids are all cross sections circular?
Sliva [168]

Answer:

2

Step-by-step explanation:

3 0
3 years ago
If DB = 36 and AC = 3x - 3, what is the value of x?
algol13

Answer:

A.) 13

Step-by-step explanation:

Since DB =36, and AC is the same line, then AC = 36. The new equation is 36 = 3x - 3. Do inverse operation. Add 3 to both sides of the equation: 36+3=39 & -3+3=0. New equation is 39=3x. Finally divide. 39/3= 13.

3 0
3 years ago
Suppose that out of 20% of all packages from Amazon are delivered by UPS. 15% of the packages that are delivered by UPS weighs 2
Gelneren [198K]

Answer:

0.1938 = 19.38% probability that a package is delivered by UPS if it weighs 2 lbs or more

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: It weighs 2 lbs or more

Event B: Delivered by UPS

15% of the packages that are delivered by UPS weighs 2 lbs or more.

This means that P(A \cap B) = 0.15

More than 2 lbs:

15% of 20%(UPS)

93% of 80%(Not delivered by UPS). So

P(A) = 0.15*0.2 + 0.93*0.8 = 0.774

a. What is the probability that a package is delivered by UPS if it weighs 2 lbs or more

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.774} = 0.1938

0.1938 = 19.38% probability that a package is delivered by UPS if it weighs 2 lbs or more

3 0
3 years ago
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