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Arte-miy333 [17]
4 years ago
14

What are to composite Numbers that are relatively prime

Mathematics
1 answer:
dimulka [17.4K]4 years ago
4 0
Two composite numbers that are relatively prime are 10 and 21
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A man is sixteen years older than his father, if the total age is 57. How old is the son and the father?​
Alex Ar [27]

Answer:

The son is 20 and a half years old.

The father is 36 and a half years old.

Step-by-step explanation:

We can solve this easily by turning it into an equation.

Let the mans age be y and the fathers age be x.

y+x=57

x=y+16

We can use the substitution method to solve for the first equation.

y+(y+16)=57

Now we only have one variable to solve for. Add like terms.

2y+16=57

Subtract 16 on both sides.

2y=41

Divide both sides by 2 to isolate y.

y=20.5

Now substitute 20.5 for y to solve for x.

20.5+x=57

Subtract 20.5 from both sides.

x=36.5

<em>The son is 20 and a half years old.</em>

<em>The father is 36 and a half years old.</em>

Hope this helps!

8 0
3 years ago
Dont know how to calculate it
TEA [102]

Answer:

AB = 105

Step-by-step explanation:

Since ∠ A and ∠ B  are equal then Δ ABC is isosceles with 2 congruent legs.

AC = BC , substitute values

6x - 7 = 5x + 7 ( subtract 5x from both sides )

x - 7 = 7 ( add 7 to both sides )

x = 14

Then

AB = 7x + 7 = 7(14) + 7 = 98 + 7 = 105

6 0
2 years ago
what is the common ratio of the geometric sequence below? –96, 48, –24, 12, –6, ... a, -2 b,-1/2 c, 2 d, 1/2
marysya [2.9K]

Answer:

Option b is correct.

The common ratio for the given geometric sequence is; \frac{-1}{2}

Step-by-step explanation:

The given sequence is;  -96, 48 , -24, 12 , -6, .....

Since, given sequence is Geometric

Geometric Sequence in which each term is found by multiplying the previous term by a constant(i.e common ratio)

In general we write geometric sequence as;

a , ar, ar^2, ar^3 , .....

where a be the first term and r is the common ratio.

On comparing the given sequence with general geometric sequence;

we get

a = -96                  ......[1]

ar = 48                   ......[2]

ar^2 = -24              .....[3]

and so on....        

To find the common ratio i.e, r;

Divide equation [2] by [1];

\frac{ar}{a} =\frac{48}{-96}

Simplify:

r = \frac{-1}{2}

Similarly,

by dividing the equation [3] by [2] we get;

\frac{ar^2}{ar} = \frac{-24}{48}

Simplify:

r = \frac{-1}{2}

As, you can see that the value of r is constant i.e, r= \frac{-1}{2} in the given sequence.

Therefore, the common ratio for the given geometric sequence is; r= \frac{-1}{2}


8 0
3 years ago
Read 2 more answers
In properties of logarithms, what is log2 25?
spayn [35]
log_a(b)=clog_a(b)=c translates to

a^c=ba^c=b
let's say it equals y

log_2(25)=ylog_2(25)=y
trsnaltes to
2^y=252^y=25
doesn't help us
we can also translate it to
log_2(5^2)log_2(5^2) or 2log_2(5)log_2(5^2)


not sure what you're looking for
8 0
3 years ago
What is<br> x=3y-1<br> x=-2y+9
-Dominant- [34]
Are you to combine the answer or are they 2 separate equations you need to solve for y?
8 0
3 years ago
Read 2 more answers
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