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Shalnov [3]
3 years ago
12

Select all ratios equivalent to 21:14. 14:10, 8:4, 9:6, 12:21

Mathematics
1 answer:
eduard3 years ago
4 0
The ratio 21:14 when divided by 7 on each side, is the smallest ratio that has the same value as 21:14. this becomes 3:2

then multiply both sides by a few different numbers on both sides each ,

for example, 3:2 is the same as
6:4 (3:2 times 2)
9:6 (3:2 times 3)
12:8 (3:2 times 4)
15:10 (3:2 times 5) and so on
the ratio of the right number I
divided by the left on all of them is 1.5

so,
14/10 equals 1.4 (nope)
8/4 equals 2 (nope)
9/6 equals 1.5 (yay)
12/21 equals 0.57 (Lol)

So your answer is 9:6
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If the sixth term in a geometric sequence is 1/625, and the common ratio is 15, find the explicit formula of the sequence.
Nonamiya [84]

Answer:

The explicit formula of the sequence is a_n=5(\frac{1}{5})^{n-1} for n \geq 2

Step-by-step explanation:

Sixth term in a geometric sequence =\frac{1}{625}

Common ratio =\frac{1}{5}

Formula of nth term =a_n=ar^{n-1}

Substitute the values

So,\frac{1}{625}=a(\frac{1}{5})^{6-1}\\\frac{1}{625}=a(\frac{1}{5})^{5}\\\frac{1}{625} \times 5^5=a

5=a

Substitute the value in 1

So,a_n=5(\frac{1}{5})^{n-1}

So, Option C is true

Hence the explicit formula of the sequence is a_n=5(\frac{1}{5})^{n-1} for n \geq 2

7 0
4 years ago
How do i simplify this problem, for geometry. specifically ALEKS 3(x+5)-5x
Veseljchak [2.6K]

Answer:

The simplified version of this expression is

-2x + 15

Hope this helps!!

8 0
3 years ago
4y + 2/4 = 8<br>please help me​
Taya2010 [7]

Answer:

y should equal 1 7/8 (or 15/8).

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Circumference = 12.6yds find the radius.
Studentka2010 [4]
Circumference= 2 times pi times radius
c=2pir
divide both sides by 2pi
c/(2pi)=r
c=12.6
12.6/(2 times pi)=12.6/2 times 1/pi=6.3 times 1/pi=6.3/pi

radius=6.3/pi=aprox (pi aprox 3.14) 2
8 0
4 years ago
Calculate the simple interest earned on an investment of $1560 at 3% per year for 5 years. Give the answer to the nearest cent.
barxatty [35]

9514 1404 393

Answer:

  $234.00

Step-by-step explanation:

Simple interest is computed using the formula ...

  I = Prt

when principal P is invested at annual rate r for t years.

  i = $1560×0.03×5 = $234.00

The interest earned is $234.00.

6 0
3 years ago
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