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3 years ago

Write a numerical expression to represent the phrase the quotient of 12 and the product of 4 and 5

Mathematics

1 answer:

Roman55 [17]3 years ago

6 0

Answer:

$\frac{12}{4*5}$

Step-by-step explanation:

the quotient of 12 and the product of 4 and 5 can be written in mathematical form as:

12 / (4 * 5) or $\frac{12}{4*5}$

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Molly invested $50,000 in various stocks

fgiga [73]

Answer:

$10,000

Step-by-step explanation:

Let b represent the amount invested in bonds. Then 50,000 - b wil be the amount invested in stocks. Molly's total return is ...

0.15b + 0.18(50000-b) = 8700

-0.03b +9000 = 8700 . . . . simplify

300 = 0.03b . . . . . . . . . . . . add .03b-8700

10,000 = b . . . . . . . . . . . . . divide by 0.03

Molly invested $10,000 in bonds.

3 0

3 years ago

Factor completely: 2x4 − 32.

vazorg [7]

Answer:

Option b) is correct.

The completed factor of given expression is $2(x-2)(x+2)(x^2+4)$

Step-by-step explanation:

Given expression is $2x^4-32$

To find the completed factor for the given expression:

$2x^4-32$ :

Taking the common number "2" outside to the above expression we get

$2x^4-32=2(x^4-16)$

Now rewritting the above expression as below

$=2(x^4-2^4)$ (since 16 can be written as the number 2 to the power of 4)

$=2((x^2)^2-(2^2)^2)$

The above expression is of the form $a^2-b^2=(a+b)(a-b)$

Here $a=x^2$ and $b=2^2$

Therefore it becomes

$=2(x^2+2^2)(x^2-2^2)$

$=2(x^2+4)(x^2-2^2)$

The above expression is of the form $a^2-b^2=(a+b)(a-b)$

Here $a=x$ and $b=2$

Therefore it becomes

$=2(x^2+4)(x+2)(x-2)$

$=2(x+2)(x-2)(x^2+4)$

Therefore $=2(x+2)(x-2)(x^2+4)$

$2x^4-32=2(x-2)(x+2)(x^2+4)$

Option b) is correct.

The completed factor of given expression is $2(x-2)(x+2)(x^2+4)$

3 0

4 years ago

Read 2 more answers

What is the slope of the line? $ 2 45 6>x -3

Nikitich [7]

Step-by-step explanation: i am pretty sure it is 1

4 0

3 years ago

A positive number is multiplied by itself and then 7 is added. The answer is 16. What is the number?

Alika [10]

Answer:

Step-by-step explanation:

let the number be n then multiplied by itself gives n², thus

n² + 7 = 16 ( subtract 7 from both sides )

n² = 9 ( take the square root of both sides )

n = $\sqrt{9}$ = 3

5 0

4 years ago

Starting at home, Ishaan traveled uphill to the gift store for 18 minutes at just 10 mph. He then traveled back home along the s

kvv77 [185]

The formula to find speed:

$speed = distance \div time$

We first need to find the distance to gift store:
18/60 × 10
=3miles

We can then find the time he used down hill:
3÷30×60
=0.1×60
=6 minutes

In total he walked:
3x2
=6miles

We can then find his average speed by dividing the distance by total time used:
=6÷(6+18)/60
=6÷24/60
=15mph

The answer is 15mph.

Hope it helps!

6 0

3 years ago