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3 years ago

I don't really understand this problem

Mathematics

1 answer:

yKpoI14uk [10]3 years ago

4 0

Complementary angles add up to 90 (there should be a right angle in the diagram)

x+20+x+10 needs to equal 90 where x=30

Left angle is measured 30+20=50 degrees

Angle on the right is measured 30+10=40 degrees

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Which equation can be used to solve for the rate, r, for Sam to change all the light bulbs in the office building by himself?

Bad White [126]

Answer:

$\frac{3}{r}+\frac{3}{8}=1$

Step-by-step explanation:

Given question is incomplete; here is the complete question.

Working together, Sam and Charlie can change all light bulbs in the office building in 3 hours. It would have taken Charlie 8 hours to do the job alone. Which equation can be be used to solve for the rate 'r', for Sam to change all the light bulbs in the office building by himself.

Let Sam can change the bulbs in the office alone in 'r' hours

Per hour work done by Sam alone = $\frac{1}{r}$

Let Sam takes he time to change the same bulbs in the office alone = 8 hours

Per hour work done by Sam = $\frac{1}{8}$

Since, Sam and Charlie complete the work together in time = 3 hours

Therefore, per hour work done by both = $\frac{1}{3}$

Equation for per work done by both will be,

Per hour work done by both = Per hour work done by Sam alone + Per hour work done by Charlie

$\frac{1}{r}+\frac{1}{8}=\frac{1}{3}$

Therefore, equation for the rate 'r' will be,

$\frac{1}{r}+\frac{1}{8}=\frac{1}{3}$

$\frac{3}{r}+\frac{3}{8}=1$

8 0

3 years ago

Read 2 more answers

John’s father is 5 times older than John and John is twice as old as his sister Alice. In two years time, the sum of their ages

oksano4ka [1.4K]

Answer:

8 years

Step-by-step explanation:

Let age of father be f

age of John be j

age of Alice be a

John's father is 5 times as old as John. We can write:

f = 5j

John is twice as old as Alice. We can write:

j = 2a

a = j/2

SUM OF ALL OF THEIR AGES (after 2 years) will be 58. We can write:

f+2 + j+2 + a+2 = 58

This becomes:

f + j + a + 6 = 58

f + j + a = 52

Now, we replace third equation with the first two (in bold) and get:

$f + j + a = 52\\5j + j + \frac{1}{2}j=52\\6.5j=52\\j=8$

So John is 8 years old

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3 years ago

A bag of marbles contains 3 blue marbles, 2 green marbles and 5 red marbles. A marble is chosen at random. The probability that

julsineya [31]

Step-by-step explanation:

the probability will be amount of green marbles over total amount of marbles

if there are 2 green marbles, and 10 total the probability is 2/10, or 20%

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3 years ago

Jenna is making hamburgers. She puts sauce on every 2nd burger, pickles on every 3rd burger, and onions on every 5th burger.How

kotykmax [81]

Answer:

Step-by-step explanation:

find the lowest common multiple of 2, 3, and 5.

That is 30.

So every 30th burger will have all 3 condiments.

100/30 = 3 and 10 left over.

We only care about the 3

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I don't really understand this problem​

I don't really understand this problem