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Solnce55 [7]
3 years ago
5

bob is twice as old as alice at the moment in 4 years time their total age they will be 71 what is alice's age now?

Mathematics
1 answer:
Nataly_w [17]3 years ago
4 0

Answer:

Alice is 34

Step-by-step explanation:

71 - 4 = 68

68 ÷ 2 = 34

Alice is 34 :)

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<img src="https://tex.z-dn.net/?f=if%20%5C%3A%20%28%20%5Cfrac%7B3%7D%7B4%7D%20%29%5E%7B6%7D%20%20%5Ctimes%20%28%20%5Cfrac%7B16%7
zhenek [66]

Answer:

2

Step-by-step explanation:

(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{x+2}

\frac{3^6}{4^6} \cdot \frac{16^5}{9^5}=\frac{4^{x+2}}{3^{x+2}}

\frac{3^6}{4^6} \cdot \frac{(4^2)^5}{(3^2)^5}=\frac{4^{x+2}}{3^{x+2}}

\frac{3^6}{4^6} \cdot \frac{4^{10}}{3^{10}}=\frac{4^{x+2}}{3^{x+2}}

\frac{3^6}{3^{10}} \cdot \frac{4^{10}}{4^6}=\frac{4^{x+2}}{3^{x+2}}

3^{-4} \cdot 4^{4}=4^{x+2}3^{-(x+2)}

This implies

x+2=4

and

-(x+2)=-4.

x+2=4 implies x=2 since subtract 2 on both sides gives us x=2.

Solving -(x+2)=-4 should give us the same value.

Multiply both sides by -1:

x+2=4

It is the same equation as the other.

You will get x=2 either way.

Let's check:

(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{2+2}

(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{4}

Put both sides into your calculator and see if you get the same thing on both sides:

Left hand side gives 256/81.

Right hand side gives 256/81.

Both side are indeed the same for x=2.

4 0
3 years ago
Solve triangle problems where angles or sides are given in terms of other angles or sides
DENIUS [597]

Answer:

18

Step-by-step explanation:

x+x+17+6=49

2x=36

x=18

s1=18

s2=35

s3=6

8 0
3 years ago
Austin checks the temperature at 10:00 p.m. He notices if the temperature
Alecsey [184]

Answer:

A. t - 5 < 26°

Step-by-step explanation:

Record low temperature for that date = 26°

Temperature at 10:00 PM = t

A fall in temperature by 5° = t - 5

Thus, this is said would mean the record low temperature would be breaking at this point, meaning the new temperature low recorded will be less than 26°.

In mathematical expression, this is expressed as;

t - 5 < 26°

4 0
3 years ago
Subtract the equating of 15 ÷ 3 from the sum of 33 and 7
Gnesinka [82]

33 + 7 = 40

15 / 3 = 5

Subtract the answer of the division problem from the sum of 33 and 7. Your answer would be:

40 - 5

Simplified:

35

7 0
3 years ago
Read 2 more answers
What number is equal to square root 64?
Romashka-Z-Leto [24]

64 has two square roots, namely 8 and −8 , since:

82=(−8)2=64.

When we say "the square root", what is usually intended is "the principal square root", which in the case of the Real square root of a positive number is the positive one. Any non-zero number n has two square roots.

8 0
3 years ago
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