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3 years ago

14

Two numbers are in the ratio 3:4 when 4 is added to each term their ratio becomes 10:13. Find the numbers.

1 answer:

Alex17521 [72]3 years ago

7 0

So there’s 2 steps to this. First we subtract what was added on both sides. 10-4 : 13-4 and we get 6:9. This ratio is true, but is not in simplest form, since both numbers are divisible by 3. So after dividing both sides by 3, the answer in simplest form will be 2:3. The correct answer is 2:3

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For the pair of points, find the slope of the line that passes through both points. (1,1) and (5,7)

zvonat [6]

Answer: 3/2

Step-by-step explanation:

$\frac{7-1}{5-1}=\frac{6}{4}=\frac{3}{2}$

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2 years ago

Pedro buys 4 books at the fair for $7 each. Pedro hands the cashier 3 ten dollar bills. how much change would he receive? write

garik1379 [7]

4 x 7 = 28 - 30 = -2. His change is 2 dollars.

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3 years ago

If the average mass of a peacock is 4.95 kilograms, what is the average mass of a peacock In grams?

anyanavicka [17]

Answer:

4950g

Step-by-step explanation:

firstly remember the formula for converting from kg to g

Kilograms ( kg) to grams(g)

1 kg = 1000g

therefore to convert 4.95 kg to g

is 4.95 * 1000

=<u> 4950g</u>

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3 years ago

In a geometric sequence, a4 = 54 and a7 = 1,458. what is the 12th term? <br><br> answer: B) 354,294

slamgirl [31]

Option B:

The 12th term is 354294.

Solution:

Given data:

$a_4=54$ and $a_7=1458$

To find $a_{12}:$

The given sequence is a geometric sequence.

The general term of the geometric sequence is $a_n=a_1\ r^{n-1}$ .

If we have 2 terms of a geometric sequence $a_n$ and $a_k$ (n > K),

then we can write the general term as $a_n=a_k\ r^{n-k}$ .

Here we have $a_4=54$ and $a_7=1458$ .

So, n = 7 and k = 4 ( 7 > 4)

$a_7=a_4\ .\ r^{7-4}$

$1458=54\ . \ r^3$

This can be written as

$$r^3=\frac{1458}{54}$

$$r^3=27$

$$r^3=3^3$

Taking cube root on both sides of the equation, we get

r = 3

$a_{12}=a_7\ .\ r^{12-7}$

$=1458\ .\ r^5$

$=1458\ .\ 3^5$

$a_{12}=354294$

Hence the 12th term of the geometric sequence is 354294.

7 0

3 years ago

If a factory can produce 850 teddy bears in 2 days, how many teddy bears will it produce in 3 days?

spayn [35]

Answer:

Step-by-step explanation:

I believe if you multiply 850×2= 1700.

Multiply 850×3..

That would equal to 2550.

8 0

3 years ago

Read 2 more answers