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2 years ago

11

A company can produce 300 ballpoint pens or 550 gel pens each hour. Each weekday the company produces ballpoint pens for 5 hours

and gel pens for 8 hours. How many pens does the company produce in 5 weekdays?

1 answer:

bagirrra123 [75]2 years ago

5 0

300×5=1,500

550×8=4,400

4400+1500=5,900

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When three pipes fill a pool, they can finish in 12 hours. Two of the pipes can finish in 18 hours if they are working together.

ladessa [460]

3 pipes take 12 hours
⇒ In 1 hour, the 3 pipes can fill 1/12 of the pool

2 of the pipes take 18 hours
⇒ in 1 hour, the 2 pipes can fill 1/18 of the pool

In 1 hour, the third pipe alone can fill :

$\dfrac{1}{12} - \dfrac{1}{18} = \dfrac{3}{36} - \dfrac{2}{36} = \dfrac{1}{36} \text { of the pool}$

Time needed :

$1 \div \dfrac{1}{36} = 1 \times 36 = 36 \text { hours}$

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Answer: It will take 36 hours for the third pipe to fill the pool.
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3 years ago

Read 2 more answers

Anna11 [10]

Answer:

6,000 dollars

Step-by-step explanation:

We first need to find out how much it would cost Danielle for a month if she chose the second option

200 + 40 = 240

240 x 30 = 7,200

Now that we know how much Danielle would pay if she chose the second option, now we need to find out how much she <em>saved</em>.

7,200 - 1,200 = 6,000

So Danielle saved 6,000 dollars by choosing the first option instead of the second one.

4 0

3 years ago

Write a function rule for the table.

egoroff_w [7]

F(x)=8x, because if you divide the money per hour you get the rate which is $8

8 0

3 years ago

From the information given determine the quadrant in which the terminal point (determined by an angle with a measure of a) lies.

Otrada [13]

Answer:

If sin(θ)<0 and cos(θ)<0), then (x,y) lies in quadrant III.

If sin(θ)>0 and cos(θ)<0), then (x,y) lies in quadrant II.

If sin(θ)>0 and cos(θ)>0), then (x,y) lies in quadrant I.

If sin(θ)<0 and cos(θ)>0), then (x,y) lies in quadrant IV.

Step-by-step explanation:

Sine and cosine values, relation with quadrant:

Quadrant 1: Sine > 0, cosine > 0.

Quadrant 2: Sine > 0, cosine < 0.

Quadrant 3: Sine < 0, cosine < 0.

Quadrant 4: Sine < 0, cosine > 0.

If sin(θ)<0 and cos(θ)<0), then (x,y) lies in quadrant

Both negative, so III.

If sin(θ)>0 and cos(θ)<0), then (x,y) lies in quadrant

Sine positive, cosine negative, so II.

If sin(θ)>0 and cos(θ)>0), then (x,y) lies in quadrant

Both positive, so I.

If sin(θ)<0 and cos(θ)>0), then (x,y) lies in quadrant

Sine negative, cosine positive, so IV.

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3 years ago

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tino4ka555 [31]

Answer:

4

Step-by-step explanation:

All you need to do is plug in each value for x & then solve the equation to see if it equals 7. When a number, like 2, is next to an x you multiply the two of them. So when you substitute a number for x, you multiply it by the 2.

2(3)-1= 5

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6 0

2 years ago