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3 years ago

Which of the following points are solutions to the system of inequalities shown below?

Mathematics

1 answer:

aleksley [76]3 years ago

3 0

Answer:

b. (3,0)

e. (5,-6)

f. (2,1)

Are solutions to the system of inequalities

Step-by-step explanation:

b. (3,0)

0 ≤ -2(3) + 6

0 ≤ 0 is true

3 > 1 is true

e. (5,-6)

-6 ≤ -2(5)+6

-6 ≤ -4 is true

5 > 1 is true

f. (2,1)

1 ≤ -2(2)+6

1 ≤ 2 is true

2 > 1 is true

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Answer:

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5x + 2y - 5x - 10y = -66

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A glassblower can produce a set of simple glasses in about 2 h. When the glassblower works with an apprentice, the job takes abo

Snowcat [4.5K]

Answer:

6 hours.

Step-by-step explanation:

Let t represent the time taken by apprentice in hours to make a set of glasses when working alone.

Part of work completed by apprentice in one hour would be $\frac{1}{t}$ .

We have been given that a glassblower can produce a set of simple glasses in about 2 hours. So part of work completed by glassblower in one hour would be $\frac{1}{2}$ .

While working together, the job takes about 1.5 hours. So part of work completed by both in one hour would be $\frac{1}{1.5}$ .

Now we will equate sum of work competed by both in hour by work completed by both working together is one hour as:

$\frac{1}{t}+\frac{1}{2}=\frac{1}{1.5}$

$\frac{1}{t}\cdot 3t+\frac{1}{2}\cdot 3t=\frac{1}{1.5}\cdot 3t$

$3+\frac{3}{2}\cdot t=\frac{3t}{1.5}$

$3+1.5\cdot t=2t$

$3+1.5t-1.5t=2t-1.5t$

$3=0.5t$

$\frac{3}{0.5}=\frac{0.5t}{0.5}$

$6=t$

Therefore, it will take 6 hours for the apprentice to make a set of glasses when working alone.

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3 years ago

A container has 3 apple juice boxes, 4 grape juice boxes and 5 orange juice boxes. Alex picks one juice box, drinks it and then

Eduardwww [97]

Hey!

Grape over total: $\frac{4}{12}$

After he drinks 1, there will be 1 less. That means it will be over 11

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Now multiply the fractions

$\frac{4}{12} \times \frac{5}{11} = \frac{20}{132} \rightarrow \frac{10}{66} \rightarrow \frac{5}{33}$

That means the probability is: $\frac{5}{33}$

Good luck and hope this helps! :)

4 0

3 years ago