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pochemuha
3 years ago
8

Grisham is considering the three situations below. 1. For the first 28 days, a sunflower grows at a rate of 3.5 cm per day. 2. T

he value of a car depreciates at a rate of 15% per year after it is purchased 3. The amount of bacteria in a culture triples every two days during an experiment. Which of the statements describes a situation with an equal difference over an equal interval?
Mathematics
1 answer:
erma4kov [3.2K]3 years ago
3 0

Answer:

The situations 1 and 2 describes an equal difference over an equal interval.

Step-by-step explanation:

1. A sunflower grows at a rate of 3.5 cm per day, for the first 28 days.

Here, the growth of the sunflower per day is uniform i.e. 3.5 cm.

2. After the car is purchased the value of a car depreciates at a rate of 15% per year.

Here, also the the depreciation of the car's value is equal i.e. 15% of initial value per year.

3. During an experiment, the amount of bacteria in a culture triples every two days.

Here, the growth of bacteria count is not equal per day because the bacteria count per day increases exponentially. (Answer)

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Answer:

81.64 cm

Step-by-step explanation:

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c = 6.28 x 13

c = 81.64

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A helicopter is flying from Hong Kong to Jakarta. The latitude of Jakarta is -6.20°, and its longitude is 106.80°. The latitude
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Answer:

The answer should be B

Step-by-step explanation:

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Anvisha [2.4K]
Gold pieces the first leprechaun has: x
Gold pieces the second leprechaun has: y
<span>
The first leprechaun says to the other, ‘Give me seven of your gold pieces and I will have twice as many as you!’:
The first leprechaun would have x+7
The second leprechaun would have y-7
</span>I will have twice as many as you:
(1) x+7=2(y-7)
<span>(1) x+7=2y-14
(1) x+7-7-2y=2y-14-7-2y
(1) x-2y=-21

</span>The other one replies, ‘No way! Give me seven of yours and we’ll have the same number’
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The second leprechaun would have y+7
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<span>How many gold pieces does the first leprechaun have?
x=?
We have a system with 2 equations and two unknows (x and y). We need to solve for x:
(1) x-2y=-21
(2) x-y=14

Using the method of substitution, we can isolating y in the second equation:
(2) x-y=14
(2) x-y+y-14=14+y-14
(2) x-14=y
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And we can replace y in the first equation by x-14, and solve for x: 
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(1) x-2(x-14)=-21
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(1) -x+28=-21
(1) -x+28-28=-21-28
(1) -x=-49
(1) (-1)*(-x=-49)
(1) x=49

Answer: T</span>he first leprechaun has 49 gold pieces

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