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Evgesh-ka [11]
2 years ago
5

John is 5 years 6 months. How old is John in months?

Mathematics
1 answer:
iogann1982 [59]2 years ago
8 0

Answer:

66 months

Step-by-step explanation:

12 months are in a year.

12 x 5 = 60

plus the 6 months that we have been told.

60+6 = 66

hope this helps!

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An actor invests some money at 9​% simple​ interest, and ​$24,000 more than three times the amount at 10​% simple interest. The
Andrew [12]

Answer:

The amount invested at 9% is $93000

The amount invested at 10% is $303000

Step-by-step explanation:

Let the amount invested at 9% interest rate be x

And the amount invested at 10% rate be y

Simple Interest from x in a year = 0.09x

Simple Interest from y in a year = 0.1y

But y = 24000 + 3x

And the sun of the interests, 0.09x + 0.1y = 38670

Now we have a simultaneous eqn

y = 24000 + 3x (eqn 1)

0.09x + 0.1y = 38670 (eqn)

Substitute y into eqn 2

0.09x + 0.1(24000 + 3x) = 38670

0.09x + 2400 + 0.3x = 38670

0.39x = 38670 - 2400

x = 36270/0.39 = $93000

y = 24000 + 3x = 24000 + 3 × 93000 = $303000

8 0
3 years ago
Benny was told to practice playing piano for 4/11 of an hour per day. Benny has already played 3/14 of an hour today. How many h
alekssr [168]
Solution:

4/11 = 0.36

3/14 = 0.21

He still needs to play 0.15 of an hour or 3/20 of an hour.


Given facts - Amount he has to play, and the amount he played.
Question - For how long does he need to practice to meet the required time.
Hidden question - There is nothing hidden
Operations used -  divisions (not necessary), subtractions and conversion (only if used division).
Number sentence - 4/11 - 3/14 = x
Answer - 3/10 of an hour.


Hope it helped,

Happy homework/ study/ exam!





5 0
3 years ago
Add and Subtract Rational Expressions with a Common Denominator
Sladkaya [172]

Answer:

\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{q^2+9}{q^2+6q+5}

Step-by-step explanation:

<u>Simplifying Rational Expressions</u>

If two or more rational expressions have the same denominator, the add and subtract operations are done only with the numerator. The final denominator will be the common of both.

The expression is:

\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}

Operating on the numerators:

\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{4q^2-q+3-(3q^2-q-6)}{q^2+6q+5}

Removing parentheses:

\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{4q^2-q+3-3q^2+q+6}{q^2+6q+5}

Simplifying:

\boxed{\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{q^2+9}{q^2+6q+5}}

The expression cannot be further simplified.

7 0
3 years ago
Plz help me plz I need your I am struggling so badly I need your help plz help me I’m begging you plz plz help me
mars1129 [50]
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ Just substitute the given value into anywhere you see the term x:

2 x 4^2 + 12

Follow the PEMDAS rule:

(calculate the exponential first)

4^2 = 16

Now we have:

2 x 16 + 12

(now the multiplication needs to be calculated)

16 x 2 = 32

Now we have:

32 + 12

Add them together to get the answer:

44 <== this is the answer

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

3 0
3 years ago
Read 2 more answers
What point is located on the x-axis<br><br> Pls help
qaws [65]

Answer:

Point C is located on the x-axis.

Step-by-step explanation:

edge 2020

7 0
3 years ago
Read 2 more answers
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