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My name is Ann [436]

2 years ago

11

Question 14 blue bubble

1 answer:

marishachu [46]2 years ago

4 0

Answer:

45°, 54°, 81°

Step-by-step explanation:

5x+6x+9x=20x

20x --> 180

x --> 9

for each angle :

5x --> 45°

6x --> 54°

9x --> 81°

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Solve for x: 4 over x equals 5 over 10 8 9 20 40

Sati [7]

$\frac{4}{x} =\frac{5}{10}$ [4 over x equals 5 over 10]

Solve for x, so you need to isolate/get x by itself in the equation.

$\frac{4}{x} =\frac{5}{10}$ Multiply x on both sides

$(x)\frac{4}{x}=\frac{5}{10} (x)$

$4=\frac{5}{10} x$ Multiply the inverse of 5/10, which is 10/5, to get rid of the fraction and get x by itself

$(\frac{10}{5} )4=(\frac{10}{5} )\frac{5}{10} x$

$\frac{40}{5} =x$

8 = x

4 0

3 years ago

Bob and Anna are planning to meet for lunch at Sally's Restaurant, but they forgot to schedule a time. Bob and Anna are each goi

Viktor [21]

Answer:

The expected cost is $8.75

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Step-by-step explanation:

Given

$Time = \{1pm, 2pm, 3pm, 4pm\}$

$C_1 = \$5$ --- If Bob and Anna meet

$C_2 = \$10$ --- If Bob and Anna do not meet

Required

The expected cost of Bob's meal

First, we list out all possible time both Bob and Anna can select

We have:

$(Bob,Anna) = \{(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3)$ $,(3,4),(4,1),(4,2),(4,3),(4,4)\}$

$n(Bob, Anna) = 16$

The outcome of them meeting at the same time is:

$Same\ Time = \{(1,1),(2,2),(3,3),(4,4)\}$

$n(Same\ Time) = 4$

The probability of them meeting at the same time is:

$Pr(Same\ Time) = \frac{n(Same\ Time)}{n(Bob,Anna)}$

$Pr(Same\ Time) = \frac{4}{16}$

$Pr(Same\ Time) = \frac{1}{4}$

The outcome of them not meeting:

$Different = \(Bob,Anna) = \{(1,2),(1,3),(1,4),(2,1),(2,3),(2,4),(3,1),(3,2)$

$,(3,4),(4,1),(4,2),(4,3)\}$

$n(Different) = 12$

The probability of them meeting at the same time is:

$Pr(Different) = \frac{n(Different)}{n(Bob,Anna)}$

$Pr(Different) = \frac{12}{16}$

$Pr(Different) = \frac{3}{4}$

The expected cost is then calculated as:

$Expected = C_1 * P(Same) + C_2 * P(Different)$

$Expected = \$5 * \frac{1}{4} + \$10 * \frac{3}{4}$

$Expected = \frac{\$5}{4} + \frac{\$30}{4}$

Take LCM

$Expected = \frac{\$5+\$30}{4}$

$Expected = \frac{\$35}{4}$

$Expected = \$8.75$

<em>The expected cost is $8.75</em>

4 0

3 years ago

A water park charges a rental fee plus $1.50 per hour to rent inflatable rafts. The total cost to rent a raft for 6 hours is $15

lawyer [7]

Answer:

6*1.50= 9 is the answer

Step-by-step explanation:

7 0

3 years ago

Solve for x<br>4x+5x-2x=42

prisoha [69]

Answer:

if 4x+5x-2x=42 then the value of x=6

3 0

3 years ago

The mass of the Sun is about 2 × 1027 metric tons, or 2 × 1030 kilograms. How many kilograms are in one metric ton?

Yuri [45]

One metric ton is equal to 1000 Kilograms

3 0

3 years ago