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3 years ago

How do you solve the system by substitution? y = 4x + 24 y = 5x

Mathematics

2 answers:

makkiz [27]3 years ago

3 0

Set up a new equation of 5x=4x+24 and solve it should be x=24

7nadin3 [17]3 years ago

3 0

So first you know that y=5x, then put this in the first equation instead of y, so it will be 5x=4x+24, and you just move the 4x to the other side of the equation, and you get 5x-4x=24, and finally, x=24.
I hope this will be useful to you ;)

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Insert three arithmetic means between 4 and 10.

Bumek [7]

Answer:

5.5, 7, 8.5

Step-by-step explanation:

Find the mean of 4 and 10, that is

$\frac{4+10}{2}$ = $\frac{14}{2}$ = 7

Now repeat with 4 and 7 and 7 and 10

$\frac{4+7}{2}$ = $\frac{11}{2}$ = 5.5

$\frac{7+10}{2}$ = $\frac{17}{2}$ = 8.5

Hence

4, 5.5, 7, 8.5, 10 ← is an arithmetic sequence with d = 1.5

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3 years ago

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kogti [31]

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3 years ago

The measure of dispersion that measures how much the data differ from the mean is called the.

Alenkinab [10]

The measure of dispersion that measures how much the data differ from the mean is called the standard deviation.

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1 year ago

L(t) models the length of each day (in minutes) in Manila, Philippines tt days after the spring equinox. Here, t is entered in r

SVETLANKA909090 [29]

Answer:

Given that:

$L(t) = 52\sin(\frac{2 \pi t}{365})+728$

where

L(t) represents the length of each day(in minutes) and t represents the number of days.

Substitute the value of L(t) = 750 minutes we get;

$750= 52\sin(\frac{2 \pi t}{365})+728$

Subtract 728 from both sides we get;

$22= 52\sin(\frac{2 \pi t}{365})$

Divide both sides by 52 we get;

$0.42307692352= \sin(\frac{2 \pi t}{365})$

$\frac{2 \pi t}{365} = \sin^{-1} (0.42307692352)$

Simplify:

$\frac{2 \pi t}{365} =0.43683845$

$t = \frac{365 \times 0.43683854}{2 \times \pi} = \frac{365 \times 0.43683854}{2 \times 3.14}$

Simplify:

$t \approx 25$ days

Therefore, the first day after the spring equinox that the day length is 750 minutes, is 25 days

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3 years ago

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Dima020 [189]

Answer: it would be 7.5

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2 years ago

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