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Shkiper50 [21]
3 years ago
11

Graph a line that contains the point (3,-6) and has a slope of -1/2

Mathematics
1 answer:
djyliett [7]3 years ago
4 0
If I were you, I would make the starting point (3,-6). From there, you will want to use the slope of -1/2 (go down 1 unit and to the right 2 units and draw a point)
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212 days are in 7 months

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What is the volume of the rectangular prism?<br>183 in3<br>234 in3<br>540 in3<br>784 in3<br>​
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The length of time, y hours, it takes to put a jigsaw puzzle together is inversely proportional to the number of children, x, wo
andrew11 [14]

Answer:

<em>24 children</em>

Step-by-step explanation:

If the length of time, y hours, it takes to put a jigsaw puzzle together is inversely proportional to the number of children, x, this is represented as;

y  \alpha \frac{1}{x}\\y =\frac{k}{x}

k is the constant of proportionality

If it takes 16 children 6 hours to put the jigsaw puzzle together, this means at x = 16, y = 6

Substitute:

6 = k/16

k = 6*16

k = 96

W are to find number of children needed to put the same jigsaw puzzle together in 4 hours, this is done by substituting k = 96 and y = 4 into the expression y = k/x

y = 96/4

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<em>Hence it will take 24 children to put the same jigsaw puzzle together in 4 hours</em>

<em></em>

5 0
3 years ago
A​ cold-water faucet can fill a sink in 1212 ​min, and a​ hot-water faucet can fill it in 1515 min. The drain can empty the sink
sweet-ann [11.9K]

Answer:

9.1 minutes.

Step-by-step explanation:

Let t represent time taken to fill the tank.

We have been given that a cold water faucet can fill a sink in 12 ​min, so the part of sink filed in 1 minute would be \frac{1}{12}.

The hot-water faucet can fill it in 15 min, so the part of sink filed in 1 minute would be \frac{1}{15}.

The drain can empty the sink in 25 min, so the part of drain emptied in 1 minute would be \frac{1}{25}.

The part of 1 full tank filled in t minutes, when both faucets are on and the drain is​ open would be:

(\frac{1}{12}+\frac{1}{15}-\frac{1}{25})t=1

Make a common denominator:

(\frac{1*25}{12*25}+\frac{1*20}{15*20}-\frac{1*12}{25*12})t=1

(\frac{25}{300}+\frac{20}{300}-\frac{12}{300})t=1

(\frac{25+20-12}{300})t=1

\frac{33}{300}t=1

\frac{11}{100}t=1

\frac{100}{11}\times \frac{11}{100}t=\frac{100}{11}\times1

t=\frac{100}{11}

t=9.0909

t\approx 9.1

Therefore, it will take 9.1 minutes to fill the sink.

4 0
3 years ago
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