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Anna11 [10]
3 years ago
11

John can clear a lot in 1.5 hours. His partner can do the same job in 4.5 hours. How long will it take them to clear the lot wor

king together?
Mathematics
1 answer:
Crank3 years ago
4 0

Answer:

1 hour and 7.5 minutes

Step-by-step explanation:

We have the following information:

Jose makes 1 / 1.5 of the job per hour. It is his rate of work in addition to that the partner makes 1 / 4.5 of the job per hour. It is his rate of work.

Thus:

1 / 1.5 + 1 / 4.5 = 1 / x

0.8898 = 1 / x

x = 1 / 0.8888

x = 1.125

Hence, it will take 1 hour and 7.5 minutes for them to complete the job working together.

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The guitar that you always wanted is on sale in the music store. It costs 2/3 the original price. The guitar now costs $1996.67,
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Answer:

3,327.9

Step-by-step explanation:

now: 1996.67

original: 3,327.9

1996.67/.6 = 3,327.9

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3 years ago
Write the slope-intercept form of the equation of the line 3x - 2y = -16
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We will solve for y.
-3x-16=-2y


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<u>Slope-intercept form</u>

y=\frac{3}{2}x + 8
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A diagram of a pizza is shown.
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Answer:

A. 30 cm

Step-by-step explanation:

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3 years ago
PLz HELP 50+ POINTS PLZZZZZZZZZZZZ
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A triangle has a height that is increasing at a rate of 2 cm/sec and its area is increasing at a rate of 4 cm2/sec. Find the rat
lesya [120]

Answer:

The value of rate of which the base is changing \frac{dB}{dt} = - 3 \frac{cm}{s}

Step-by-step explanation:

Area = 20 cm^{2}

height = 4 cm

\frac{dH}{dt} = 2 \frac{cm}{sec}

\frac{dA}{dt} =  2 \ \frac{cm^{2} }{sec}

we know that area of the triangle is given by

A= \frac{1}{2} B H

B = \frac{2A}{H}

B = \frac{2 (20)}{4}

B = 10 cm

Rate of change of area is given by

\frac{dA}{dT} = \frac{1}{2} [B\frac{dH}{dt} + H \frac{dB}{dt} ]

4 =  0.5 [10 × 2 + 4 \frac{dB}{dt} ]

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This is the value of rate of which the base is changing.

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3 years ago
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