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2 years ago

The sum of nine and six-tenths and a number is thirteen and two-tenths. What is the number?

Mathematics

2 answers:

vladimir2022 [97]2 years ago

6 0

Answer:

the answer is 3.6

Step-by-step explanation:

lawyer [7]2 years ago

4 0

So the first thing we need to do is set up an equation (using x to represent the number). Then, we'll solve it to get the answer.

Step 1: Translate the word problem into an equation

Word problem: The sum of nine and six-tenths and a number is thirteen and two-tenths.

Equation: $9 \frac{6}{10}$ + x = $13 \frac{2}{10}$

Step 2: Isolate x by subtracting $9 \frac{6}{10}$ from each side

$9 \frac{6}{10}$ + x - $9 \frac{6}{10}$ = $13 \frac{2}{10}$ - $9 \frac{6}{10}$

Step 3: The numbers on the left cancel out, leaving x alone

x = $3 \frac{6}{10}$

Step 4: Convert the answer to decimals

x = 3.6

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Alex787 [66]

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1 year ago

Solve: 2cos(x)-square root 3=0 for 0 less than x less than 2 pi

Leona [35]

Answer:

The general solution of $cos x = cos(\frac{\pi }{6})$ is

x = 2nπ± $\frac{\pi }{6}$

The general solution values

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

Step-by-step explanation:

Explanation:-

Given equation is

$2cosx-\sqrt{3} =0 for 0$

$2cosx =\sqrt{3}$

Dividing '2' on both sides, we get

$cos x =\frac{\sqrt{3} }{2}$

$cos x = cos(\frac{\pi }{6})$

<em>General solution of cos θ = cos ∝ is θ = 2nπ±∝</em>

<em>Now The general solution of </em> $cos x = cos(\frac{\pi }{6})$ <em> is </em>

put n=0

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

Put n=1

$x = 2\pi +\frac{\pi }{6} = \frac{13\pi }{6}$

$x = 2\pi -\frac{\pi }{6} = \frac{11\pi }{6}$

put n=2

$x = 4\pi +\frac{\pi }{6} = \frac{25\pi }{6}$

$x = 4\pi -\frac{\pi }{6} = \frac{23\pi }{6}$

And so on

But given 0 < x< 2π

The general solution values

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

6 0

2 years ago

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stiks02 [169]

Answer:

(4,1)

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)

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2 years ago

Nicolas has $650 to deposit into two different savings accounts. • Nicolas will deposit $400 into Account I, which earns 3.5% an

Alinara [238K]

C) $694.25

Why?
Because you want to times the interest by 2 (1 is for one year but u want to find the amount after two years) then you multiply the amount given to each bank separately so:

400*0.07 (7% which is 7/100) = 28
250*0.065 (6.5% which is 65/1000) = 16.25

Then u add the interests together:
28+16.25 = 44.25

Finally you add that to the amount you started with:
$650+$44.25= $694.25

5 0

2 years ago

What is the factorization of the trinomial below? 3x3 + 6x2 - 24x

Allisa [31]

3x^3 + 6x^2 - 24x

= 3x(x^2 + 2x - 8)

= 3x(x + 4)(x - 2)

Hope it helps.

8 0

2 years ago

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