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Savatey [412]
2 years ago
5

It takes Sam 3 hours to rake leaves, but if Laura helps, it takes 2 hours. How long would it take Laura to rake the leaves on he

r own?
Mathematics
1 answer:
Klio2033 [76]2 years ago
6 0

Answer:

6 hours

Step-by-step explanation:

Given that:

Time taken by Sam = 3 hours

Sam's rate = 1/3

Time taken : Sam + Laura = 2 hours

Sam's rate + Laura's rate = 1/2

Let time taken by Laura = x

1/3 + 1/x = 1/2

1/x = 1/2 - 1/3

1/x = (3 - 2) / 6

1/x = 1 /6

x = 6

Hencw, it will take 6 hours for Laura alone to rake leaves

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Explain why 13233345364715 is a composite no.​
rodikova [14]

Answer:

A composite number has more than two factors.  In this case, the number 13233345364715 has more than two factors, so it is composite.  

Step-by-step explanation:

Numbers can be classified as prime or composite.  Prime numbers have only two factors, 1 and the number itself.  For example, 13 is a prime number because only 1 and 13 can be multiplied together to get 13.  However, a composite number has more than two factors.  In the case of the numer 13233345364715, I know that there are more than two factors because the number ends in 5, which means it has a factor of 5.  To confirm, divide 13233345364715/5 = 2646669072943. This large of a number may also have other factors, however, since you now know it has at least four factors, it is composite.  

6 0
3 years ago
What does the line of -4 x + 3y = 6 look like
Llana [10]

Answer:

The line slopes upwards from left to right wit a positive gradient and cuts the y-axis at y=2 and the x-axis at x=-3/2

Step-by-step explanation:

We first rearrange the equation to the order y=mx+c where m is the gradient and c the y intercept.

3y=4x+6

y=(4/3)x+2

The gradient is therefore 4/3 and the y intercept is 2.

At the c intercept, y=0

0=(4/3)x +2

(4/3)x=-2

x=-2×3/4

=3/2

The line slopes upwards from left to right with a positive gradient and cuts the y-axis at y=2 and the x-axis at x=-3/2

8 0
2 years ago
Read 2 more answers
HELP I NEED HELP ASAP
masha68 [24]

Answer:

i think it's c but I'm rly not sure on this one...

3 0
2 years ago
The faces on a number cube are labled 1,2,2,3,4, and 5the number cube is rolled 114 times how many times would you expect the nu
Mrac [35]

Given:

The faces on a number cube are labeled 1,2,2,3,4, and 5.

The number cube is rolled 114 times.

To find:

How many times would you expect the number 2 to appear?

Solution:

We have,

Total outcomes = 1,2,2,3,4, and 5.

Number of total outcomes = 6

Favorable outcomes = 2 and 2

Number of favorable outcomes = 2

The probability of getting 2 is:

P(2)=\dfrac{\text{Number of favorable outcomes}}{\text{Number of total outcomes}}

P(2)=\dfrac{2}{6}

P(2)=\dfrac{1}{3}

Now, the expected number of times when 2 to appear is:

E(x)=114\times P(2)

E(x)=114\times \dfrac{1}{3}

E(x)=38

Therefore, the expected number of times is 38.

4 0
2 years ago
15 plus the quotient of 60 and w
Romashka [77]
15+60:w=15+\dfrac{60}{w}
6 0
2 years ago
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