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Tanya [424]
3 years ago
12

This year Albert and his grandfather's ages total to 64 years. In 3 years, Albert's grandfather will be 6 times as old. How many

years older than Albert is his grandfather this year?
Mathematics
1 answer:
Keith_Richards [23]3 years ago
6 0

Answer: Albert's grand father is 50 years older that Albert this year.

Step-by-step explanation:

Let x represent Albert's age this year.

Let x represent Albert's grandfather age this year.

This year Albert and his grandfather's ages total to 64 years. This means that

x + y = 64- - - -- - - - - -1

In 3 years, Albert's grandfather will be 6 times as old. This means that

y + 3 = 6(x + 3)

y + 3 = 6x + 18

y = 6x + 18 - 3

y = 6x + 15

Substituting y = 6x + 15 into equation 1, it becomes

x + 6x + 15 = 64

7x = 64 - 15 = 49

x = 49/7

x = 7

y = 6x + 15 = 6 × 7 + 15

y = 57

The difference between their ages is 57 - 7 = 50 years

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Answer:

g = 10.82

_______ or 5.694736842105263

-1.9

Step-by-step explanation:

- 1.6g - 0.3g = 6.46 + 4.36

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5 0
3 years ago
Find the sum of the first 6 terms of the following series, to the nearest integer.
natka813 [3]

Answer:

1008

Step-by-step explanation:

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S(6)=16(1-2^6)/(1-2)

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3 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
Write each of the following as a function of theta.<br> 1.) sin(pi/4 - theta) 2.) tan(theta+30°)
Paladinen [302]

Step-by-step explanation:

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Using the angle addition trig formula,

\sin(x - y)  =  \sin(x)  \cos(y)  -  \cos(x)  \sin(y)

\sin( \frac{\pi}{4} )  \cos(x)  -  \cos( \frac{\pi}{4} )  \sin(x)

( \frac{ \sqrt{2} }{2})  \cos(x)  -  (\frac{ \sqrt{2} }{2}  )\sin(x)

Multiply one side at a time

Replace theta with x , the answer is

\frac{ \sqrt{2} \cos(x)  }{2}  -  \frac{ \sin(x) \sqrt{2}  }{2}

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Tan if pi/6 is sqr root of 3/3

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Since my phone about to die if you later simplify that,

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\frac{(3 \tan(x) +  \sqrt{3} )(3 +  \sqrt{3}  \tan(x)  }{3(3 -  \tan {}^{2} (x) }

Replace theta with X.

4 0
2 years ago
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