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3 years ago

How to multiply fractions by decimals

1 answer:

4 0

To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.

Perform the multiplication as you would for whole numbers.

When you're done, count the number of digits to the right of the decimal point in each factor and add the result.

Place the decimal point in your answer so that your answer has the same number of digits after the decimal point.

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What is the 32nd term of 311, 305, 299

nata0808 [166]

Answer:

503

Step-by-step explanation:

For an arithmetic sequence, the n-th term is found by

$a_n = a_1 + (n - 1)d$

To find $d$ (the common difference) we can simply subtract one of the terms by the last, for example:

$d = 299 - 305 \\d = -6 \\$

The common difference must be the same throughout the entire sequence, so we can do it once more just to be sure:

$d = 305 - 311\\d = -6$

We also have to know that $a_1$ stands for the first term of the sequence, which in this case is 311.

Now that we know this, let's find the 32nd term

$a_{32} = 311 + (32 - 1)-6\\a_{32} = 311 + 192\\a_{32} = 503$

Good luck!

4 0

3 years ago

Read 2 more answers

The shorter leg of a right triangle is 14 feet less than the other leg. Find the length of the two legs of the hypotenuse is 25

irakobra [83]

Answer:

9.233 ft, 23.233 ft

Step-by-step explanation:

If the shorter leg is x, then the longer leg is x+14 and the Pythagorean theorem tells you ...

x^2 + (x +14)^2 = 25^2

2x^2 +28x +196 = 625

x^2 +14x = 214.5

x^2 +14x +49 = 263.5

(x +7)^2 = 263.5

x = -7 +√263.5 ≈ 9.23268

The two leg lengths are √263.5 ± 7 feet, {9.23 ft, 23.23 ft}.

6 0

3 years ago

Read 2 more answers

Find The Value Of x ?

slega [8]

<u>Answer</u>:

1) $x = -1$ || 2) $x = 10$

<u>Explanation</u>:

→ $\log _3\left(\frac{1}{3}\right)=x$

→ $\frac{1}{3} = 3^x$

→ $3^{-1} = 3^x$

→ $x = -1$

→ $\log _3\left(x-1\right)=2$

→ $x - 1 = 3^2$

→ $x -1 = 9$

→ $x = 9 +1$

→ $x = 10$

5 0

2 years ago

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When we divide 2√3 by 2√3 it gives 3 how ?(2√3/2√3)

S_A_V [24]

Only if the individual doing the calculation makes a substantial mistake.

Any fraction with the same quantity in the numerator and denominator
always has the value of ' 1 ', (provided only that the quantity is not zero).

6 0

3 years ago

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If a plane flies 612 km per hour, approximately how many kilometres will it travel in 13 hours?

zaharov [31]

$612km...........1h \\ x...................13h \\ \\ x=\frac{612*13}{1} \\ \\ \boxed{x=7956km}$

7 0

3 years ago

Read 2 more answers