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algol [13]
4 years ago
7

casey is six time as old as Ralph, In two years, she will be four time as old as Ralph. How old is each of them now?

Mathematics
1 answer:
andrezito [222]4 years ago
7 0
Statement 1: Casey is 6 times as old as Ralph gives

C = 6R

where C and R represent Casey and Ralph’s current ages respectively.
Statement 2: In 2 years, Casey will be four times as old as Ralph gives

C + 2 = 4 (R + 2)

Expanding the brackets gives

C + 2 = 4R + 8

Substituting in C from the first equation gives

6R + 2 = 4R + 8

Which can be rearranged as

2R = 6

Implying R = 3 and C = 6R = 18

Therefore, Ralph is 3; Casey is 18
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A submarine started at 750 meters below sea level. It rose 50 meters per hour over a 4-hour period. Which expression represents
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Answer:

y(t) = 750 -50t

Step-by-step explanation:

We want to model the position of the submarine as a function of time.

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7x - 44 = 4x + 4

Add both sides 44

7x - 44 + 44 = 4x + 4 + 44

7x = 4x + 48

Subtract both sides 4x

7x - 4x = 4x - 4x + 48

3x = 48

Divide both sides by 3

3x ÷ 3 = 48 ÷ 3

<h2>x = 16 </h2>

______________________________

Suppose that the angle between 39 and 4x + 4 is t degrees as you know they make a straight line together thus :

39 + t + 4x + 4 = 180

39 + t + 4(16) + 4 = 180

39 + t + 64 + 4 = 180

39 + t + 68 = 180

t + 107 = 180

Subtract both sides 107

t + 107 - 107 = 180 - 107

<h2>t = 73 </h2>

_____________________________

8y - 43 = 4x + 4 + t

8y - 43 = 4(16) + 4 + 73

8y - 43 = 64 + 4 + 73

8y - 43 = 68 + 73

8y - 43 = 141

Add both sides 43

8y - 43 + 43 = 141 + 43

8y = 184

Divide both sides by 8

8y ÷ 8 = 184 ÷ 8

<h2>y = 23 </h2>

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