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leva [86]
1 year ago
13

A line is parallel to y = 5x + 9 and

Mathematics
1 answer:
ryzh [129]1 year ago
4 0
<h3>Answer:    y = 5x + 7</h3>

Work Shown:

y - y1 = m(x - x1)

y - (-3) = 5(x - (-2))

y + 3 = 5(x + 2)

y + 3 = 5x + 10

y = 5x + 10 - 3

y = 5x + 7

The equation is now in slope intercept form y = mx+b with m = 5 as the slope and b = 7 as the y intercept. Plugging x = -2 into this equation will lead to y = -3.

Side note: parallel lines have equal slopes but different y intercepts.

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350+(2*350)+400=1450
7 0
3 years ago
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Greg has four different colored cards in a box. Yellow, red, blue, and green. He randomly selects one card, records the color, a
Veronika [31]

Answer:

He should expect to select 75 yellow cards.

Step-by-step explanation:

Since there is replacement, for each trial, we have:

1 yellow card

1 red card

1 blue card

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If Greg does this 300 times, how many yellow cards should he expect to select?

Each trial, there are 4 cards, one of which is yellow. So 1/4 = 0.25 probability of selecting a yellow card.

Over 300 trials

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6 0
3 years ago
Andrea was watching her brother in the ocean and noticed that the waves were coming into the beach at a frequency of 0.367347 Hz
anygoal [31]

Answer:

<u>18 waves</u> hit the beach in 49 s.

Step-by-step explanation:

Given:

The frequency of the waves that were coming into the beach is 0.367347 Hz.

Now, to find the number of waves that hit the beach in 49 s.

Let the number of waves be n.

The frequency of waves (f) = 0.367347 Hz.

The time it takes to hit the beach (t) = 49 s.

Now, we put formula to get the number of waves:

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<u><em>The number of waves = 18.</em></u>

Therefore, 18 waves hit the beach in 49 s.

8 0
3 years ago
Jenny and Lester are running the 100 meter dash. Jenny completes it in 15.2 seconds and Lester completed it in 15.7 seconds. Wha
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Jenny won the race as she finished the race much more quickly and has greater average speed than Lester.

\sf \boxed{\sf speed:\frac{distance}{time \ taken} }

Jenny: distance/time = 100/15.2 = 6.58 m/s = 6.6 m/s

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3 0
2 years ago
Wrote a problem for the equation 0.5n= 12.5.
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Emma wanted to buy some apples from the store. They each cost $0.5. If Emma paid $12.5 in total, how many apples did Emma buy?
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