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dolphi86 [110]
2 years ago
13

Nathan and Olivia are saving money for school supplies. Nathan saves $2 per week and already has $30 in his bank. Olivia saves $

4 per week and has $15 in her bank. Write the system of equations for this situation.
Mathematics
1 answer:
melomori [17]2 years ago
4 0

Answer:

Nathan: 2x+30

Olivia: 4x+15

Step-by-step explanation:

x is the number of weeks

Nathans account is as follows

2x+30

(2 dollars a week plus the 30 dollars already there)

Olivia's account is as follows

4x+15

(4 dollars per week plus the 15 already in there)

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A bolt has 16 1/2 turns per inch. How many turns would be in 2 1/2 inches of thread?
Kazeer [188]
We know that one inch has 16.5 turns.
To know the number of turns in 2.5 inches of thread, we will simply do a cross multiplication as follows:
number of turns = (2.5 x 16.5) / 1 = 41.25 turns
3 0
3 years ago
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Your brother is 1/5 your age. Your sister is 9 years older than your brother. Your sister is 11 years old. Write and solve an eq
Papessa [141]
Brother=b
b+9=11
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Hope this helps :)
5 0
3 years ago
It is known that the population variance equals 484. With a .95 probability, the sample size that needs to be taken to estimate
Hitman42 [59]

Answer:

The minimum sample size is n = 75 so that the desired margin of error is 5 or less.                          

Step-by-step explanation:

We are given the following in the question:

Population variance = 484

Standard deviation =

\sigma^2 = 484\\\sigma =\sqrt{484} = 22

Confidence level = 0.95

Significance level = 0.05

Margin of error = 5

Formula:

Margin of error =

E = z\times \dfrac{\sigma}{\sqrt{n}}\\\\n = (\dfrac{z\times \sigma}{E})^2

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting values, we get

E\leq 5\\\\1.96\times \dfrac{22}{\sqrt{n}} \leq 5\\\\\sqrt{n} \geq 1.96\times \dfrac{22}{5}\\\\n \geq (1.96\times \dfrac{22}{5})^2\\\\n \geq 74.373

Thus, the minimum sample size is n = 75 so that the desired margin of error is 5 or less.

3 0
2 years ago
Plzz help i don't understand that well
postnew [5]

Answer:

No

Step-by-step explanation:

A triangle's lengths HAVE TO add up to 180 degrees.

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3 years ago
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"The sum of a number and 4."
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Answer:

n + 4

Step-by-step explanation:

It´s like a normal sum, but since the number is unknown just put n.

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3 years ago
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