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3 years ago

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Two mechanics worked on a car. The first mechanic worked for 5 hours, and the second mechanic worked for 15 hours. Together they

charged a total of $1950. What was the rate charged per hour by each mechanic if the sum of the two rates was $200 per hour?

1 answer:

AleksAgata [21]3 years ago

4 0

6x+8y=1,200and 150adults

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PLEASE HELP!!! What is the slope parallel to 5x + y = 3, please show me step by step, will give the brainliest for this answer.

Andreas93 [3]

Answer:

-5

Step-by-step explanation:

First, put the equation into the form y = mx +b (where m is the slope and b is the y-intercept)

This would look like:

$5x + y = 3\\y = -5x + 3$

This means the slope is -5.

Parallel lines always have the same slope, so the slope of the parallel line is also -5

3 0

3 years ago

A graphic designer created a logo on 8 1/2 by 11 inch paper. In order to place on a business card the logo needs to be 1 7/10 in

neonofarm [45]

K - scale factor
a = 8 1/2
b = 11
a₁ = 1 7/10
b₁ = 2 1/5

$k = \frac{a_1}{a}=\frac{b_1}b\\\\\\\frac{a_1}{a}=\dfrac{1 \frac{7}{10}}{8\frac12}=1 \frac{7}{10}:8\frac12=\frac{17}{10}:\frac{17}2=\frac{17}{10}\cdot\frac2{17}=\frac15\cdot\frac11=\frac15\\\\\\\frac{b_1}{b}=\dfrac{2 \frac{1}{5}}{11}=2\frac15:11=\frac{11}{5}\cdot\frac1{11}=\frac15\cdot\frac11=\frac15 \\\\\\\frac{a_1}{a}=\frac{b_1}b=\frac15\ \ \ \implies\ \ \ k=\frac15$

6 0

3 years ago

Write 560% as a decimal and as a mixed number

vekshin1

560% as a decimal = 5.6
(move the decimal points 2 spaces to the left.)

560% as a mixed number = 5 3/5
(divide 560 by 100; 100 goes into 560 5 times so 5 will be your whole number and since you have 60 left you divide 60 by 100; 60/100 can be reduced to 3/5 if you divide the numerator and the denominator by 20)

hope this helps :)

8 0

3 years ago

20 business cards are placed in a hat, 10 belong to women, 10 belong yo men If 2 cards are drawn at once. what's the probability

erik [133]

Answer:

First choice:

$\large\boxed{\large\boxed{5/19}}$

Explanation:

<em>The probability that the first is a man's card and the second, a woman's card</em> is calculated as the product of both probabilities, taking into account the fact that the second time the number of cards in the hat has changed.

In spite of it is said that the cards are drawn at once, since it is stated a specific order for the cards (first is a man's card and the second, a woman's card) you can model the procedure as if the cards were drawn consecutively, instead of at once.

<u>1. Probability that the first is a man's card</u>

Number of cards in the hat = 20 (the 20 business card)

Number of man's card in the hat: 10

Probability = favorable oucomes / possible outcomes = 10/20 = 1/2.

<u />

<u>2. Probability that the second is a woman's card</u>

Number of cards in the hat = 19 (there is one less card in the hat)

Number of wonan's card in the hat: 10

Probability = favorable oucomes / possible outcomes = 10/19.

<u>3. Probability that the first is a man's card and the second, a woman's card</u>

<u />

(1/2) × (10/19) = 5/19

That is the first choice.

5 0

3 years ago

Read 2 more answers

It took an ice cream 28 minutes to drive through one neighborhood. The truck stopped driving through the neighborhood at 2:05 pm

VMariaS [17]

Answer:

Starting time: 1:37

Step-by-step explanation:

Instead of proof to solve the problem, let us prove that the starting time above is correct;

1. There are 60 minutes in an hour, so 60 - 37 = the minutes 'till 2:00, or 23 minutes

2. Knowing that the time the truck stopped driving through the neighborhood was 5 minutes past 2:00, the minute difference being 23 + 5, or <em>28 minutes</em>

<em>Proved: 28 minutes</em>

6 0

3 years ago