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Nady [450]
1 year ago
15

Tom takes exactly 30 minutes to rake a lawn and his son Mike takes exactly 60 minutes to rake the same lawn. If Tom and Mike dec

ide to rake the lawn together, and both work at the same rate that they did previously, how many minutes will it take them rake the lawA. 16
b. 20


c. 36


d. 45


e. 90
Mathematics
1 answer:
____ [38]1 year ago
6 0

Answer:

b) 20 minutes

Step-by-step explanation:

Tom=0.5Mike

in 15 minutes, Tom will have done 1/2 of the lawn

in 15 minutes, Mike will have done 1/4 of the lawn

in 15 minutes, they will have done 3/4 of the lawn

15/3=5 minutes for 1/4 of the lawn to be done

5x4=20 minutes for the entire lawn

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If DE = 4x + 10, EF = 2x-1, and DF = 9x-15, find DF
Dmitrij [34]
Hello,
<span>We have that:
(4x+10)+(2x-1)=9x-15

</span>We solve the equation:
4x+10+2x-1=9x-15;
6x+9=9x-15;
6x-9x=-15-9;
-3x=-24;
3x=24;

<span>from which
</span>x=24:3=8

<span>Then:
DF=9x-15=(9</span>×8)-15=72-15=57

bye :-)
5 0
2 years ago
Read 2 more answers
The editor of a textbook publishing company is deciding whether to publish a proposed textbook. Information on previous textbook
kogti [31]

Answer:

34.86% probability that it will be huge​ success

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

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

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Receiving a favorable review.

Event B: Being a huge success.

Information on previous textbooks published show that 20 % are huge​ successes

This means that P(B) = 0.2

99 % of the huge successes received favorable​ reviews

This means that P(A|B) = 0.99

Probability of receiving a favorable review:

20% are huge​ successes. Of those, 99% receive favorable reviews.

30% are modest​ successes. Of those, 70% receive favorable reviews.

30% break​ even. Of those, 40% receive favorable reviews.

20% are losers. Of those, 20% receive favorable reviews.

Then

P(A) = 0.2*0.99 + 0.3*0.7 + 0.3*0.4 + 0.2*0.2 = 0.568

Finally

P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.2*0.99}{0.568} = 0.3486

34.86% probability that it will be huge​ success

4 0
2 years ago
Tim and Jim are working on a school project together. If he had to work by himself, it would take
Vladimir [108]

Answer: 6 hours

Step-by-step explanation:

Given, Tim and Jim are working on a school project together.

Tim takes 10 hours to complete the school project.

If Jim worked alone, it would take him 15 hours

Let t be the time they both take if they work together.

Then, \dfrac{1}{t}=\dfrac{1}{\text{Time taken by Tim}}+\dfrac{1}{\text{Time taken by jim}}

\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{10}+\dfrac{1}{15}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{3+2}{30}=\dfrac{5}{30}\\\\\Rightarrow\dfrac{1}{t}=\dfrac{1}{6}\\\\\Rightarrow t=6

So, it will take<u> 6 hours</u> to complete the school project together .

4 0
1 year ago
4 and 5 are complements, and 1 and 5 are complements. By the congruent complements theorem, which angle is congruent to 4? 1 2 3
Zepler [3.9K]
The theorem tells you angles complementary to the same angle are congruent. Both 4 and 1 are complementary to 5, so 4 and 1 are congruent.

The angle congruent to 4 is 1.
8 0
2 years ago
Read 2 more answers
Find the inverse of the function. y = 2x2 –4
Alex73 [517]

Answer:

The inverse function is y=\sqrt{\frac{x+4}{2}}


Step-by-step explanation:

The given function is y=2x^2-4.


This function is only invertible on the interval, x\ge 0.


To find the inverse on this interval, we interchange x and y.

x=2y^2-4


We now make y the subject to get,


x+4=2y^2


\Rightarrow \frac{x+4}{2}=y^2


\Rightarrow \pm \sqrt{\frac{x+4}{2}}=y


But the given interval is x\geq 0, This implies that, y\geq 0.


y=\sqrt{\frac{x+4}{2}}


4 0
2 years ago
Read 2 more answers
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