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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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Julie tried to use the law of syllogism to draw a conclusion based on the statements below. Explain why she is not able to do so
ira [324]

Answer:  The conditional statements are not in the correct form to make a conclusion using the law of syllogism. “If p, then q and if p, then r” cannot be used to draw a conclusion using the law of syllogism. The law of syllogism could be used if the hypothesis in the second statement was "if two pairs of congruent angles are formed."

Step-by-step explanation:

"If p, then q and if p, then r" cannot be used to draw a conclusion using the law of syllogism.

Neither of the conclusions of the conditional statements are the hypothesis of the other.

"If two pairs of congruent angles are formed" could be the hypothesis of the second statement.

** Both can be used to answer the question :)

4 0
1 year ago
Read 2 more answers
Solve 4/x-4=x/x-4-4/3 for x and determine if the solution is extraneous or not
4vir4ik [10]

<u>Answer:</u>

x = 4 (extraneous solution)

<u>Step-by-step explanation:</u>

\frac { 4 } { x - 4 } = \frac { x } { x - 4 } - \frac { 4 } { 3 } \\ \frac { 4 } { x - 4 } - \frac { x } { x - 4 } = - \frac { 4 } { 3 } \\ \frac { 4 - x } { x - 4 } = - \frac { 4 } { 3 } \\ 3 ( 4 - x ) = - 4 ( x - 4 ) \\ 1 2 - 3 x = - 4 x + 1 6 \\ 4 x - 3 x = 1 6 - 1 2 \\ x = 4 \\

This solution is extraneous. Reason being that even if it can be solved algebraically, it is still not a valid solution because if we substitute back x=4, we will get two fractions with zero denominator which would be undefined.

7 0
2 years ago
A square with side length c has an area of 81 square centimeters. The following equation shows the area of the square. c^2 = 81.
kramer

Answer:

9 cm

Step-by-step explanation:

c^2=81

Take the square root of both sides.

The square root of c^2 is c.

The square root of 81 is 9.

c=9

8 0
2 years ago
Read 2 more answers
A coin will be flipped repeatedly until the sequence TTH (tail/tail/head) comes up. Successive flips are independent, and the co
padilas [110]

Answer:

P = \frac{1}{3}

Step-by-step explanation:

The calculation of the value of p minimizes is shown below:-

We will assume the probability of coming heads be p

p(H) = p

p(T) = 1 - P

Now, H and T are only outcomes of flipping a coin

So,

P(TTH) = (1 - P) = (1 - P) (1 - P) P

= (1 + P^2 - 2 P) P

= P^3 - 2P^2 + P

In order to less N,TTH

we need to increase P(TTH)

The equation will be

\frac{d P(TTH)}{dP} = 0

3P^2 - 4P + 1 = 0

(3P - 1) (P - 1) = 0

P = 1 and 1 ÷ 3

For P(TTH) to be maximum

\frac{d^2 P(TTH)}{dP} < 0 for\ P\ critical\\\\\frac{d (3P^2 - 4P - 1)}{dP}

= 6P - 4

and

(6P - 4) is negative which is for

P = \frac{1}{3}

5 0
2 years ago
Tranh dives off a 9 m platform. He reaches a maximum height of 9.2 m after 0.26 s. How long does it take him to reach the water
777dan777 [17]
He will reach the ground after 2.023 seconds.

To start, write a quadratic equation in vertex form with the given information about the vertex.

y=a(x-2.6)^2+9.2

All that we need to solve for is a. Plug in the point (0, 9) and you will be able to solve for a and write the complete equation.

Now, just use the quadratic formula and you will get 2.023 seconds for when he hits the ground.
3 0
1 year ago
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