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3 years ago

Help, I need some explaining on this math question

Mathematics

1 answer:

vesna_86 [32]3 years ago

7 0

Answer:

8 in each box

Step-by-step explanation:

Step 1: 4x+5x=72

Step 2: Add 4x and 5x which is 9x, so 9x=72

Step 3: Divide both sides by 9. 72 divided by 9 is 8. So x=8

Conclusion: There are 8 granola bars in each box.

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Find the quotient 81/3

Flauer [41]

I hope this helps you

3.3.3.3/3

3^4/3^1

3^4.3^-1

3^4-1

3^3

27

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3 years ago

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8.07 round to the nearest whole

Vitek1552 [10]

The answer is simply "8".

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Determine the common ratio and find the next three terms of the geometric sequence 9,3sqrt3,3

Maru [420]

Answer:

Fourth term: $a_4 = 9 * (\frac{\sqrt{3}}{3})^{(4 - 1)}$ = $9 * (\frac{\sqrt{3}}{3})^{3}$ = $\sqrt{3}$

Fifth term: $a_5 = 9 * (\frac{\sqrt{3}}{3})^{(5 - 1)}$ = $9 * (\frac{\sqrt{3}}{3})^{4}$ = 1

Sixth term: $a_6 = 9 * (\frac{\sqrt{3}}{3})^{(6 - 1)} = 9 * (\frac{\sqrt{3}}{3})^{5} =\frac{\sqrt{3}}{3}$

Step-by-step explanation:

The geometric progression is:

$9, 3 \sqrt{3}, 3...$

The first term, a, is 9

To find the common ratio, r, all we have to do is divide a term by its preceding term.

Let us divide the second term by the first:

$r = \frac{3\sqrt{3}}{9}\\ \\r = \frac{\sqrt{3}}{3}$

That is the common ratio.

Geometric progression is given generally as:

$a_n = ar^{(n - 1)}$

where a = first term

r = common ratio

$a_n$ = nth term

We need to find the 4th, 5th and 6th terms.

Fourth term: $a_4 = 9 * (\frac{\sqrt{3}}{3})^{(4 - 1)}$ = $9 * (\frac{\sqrt{3}}{3})^{3}$ = $\sqrt{3}$

Fifth term: $a_5 = 9 * (\frac{\sqrt{3}}{3})^{(5 - 1)}$ = $9 * (\frac{\sqrt{3}}{3})^{4}$ = 1

Sixth term: $a_6 = 9 * (\frac{\sqrt{3}}{3})^{(6 - 1)} = 9 * (\frac{\sqrt{3}}{3})^{5} =\frac{\sqrt{3}}{3}$

5 0

3 years ago

The sum of a number and twice another number is 17. The sum of twice the first number and the second number is 4. What are the t

zhannawk [14.2K]

Step-by-step explanation:

Given that,

a + 2b = 17

Also,

2a + b = 4

By adding the above expressions we get,

a + 2b + 2a + b = 17 + 4

3a + 3b = 21.

3 (a + b) = 21

a + b = 21/3

a + b = 7 Let us take 'b' = 10

a + 10 = 7

a = 7 - 10

a = -3

Now let's check by verifying by putting a = -3 and b = 10 in the previous expressions

a + 2b = 17

-3 + (2 × 10) = 17

-3 + 20 = 17

17 = 17

2a + b = 4

(2 × -3) + 10 = 4

-6 + 10 = 4

4 = 4

Therefore, a = -3 and b = 10 [(-3,10)] is the solution.

8 0

3 years ago

Andrea opened a savings account with $1,750 she received for graduation. The account pays 4.3% simple interest. What is the bala

Schach [20]

Answer:

$1787.625

Step-by-step explanation:

We first determine the interest earned in 6 months time using the simple interest formula;

$I=\frac{PRT}{100}\\I=\frac{1750*4.3*0.5}{100}\\I=37.625$

The balance in the account will be;

1750 + 37.625 = $1787.625

5 0

4 years ago