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2 years ago

If there are 40 boys and 32 girls in a room, fill out all of the possible ratios of boys to girls that could be made.

Mathematics

1 answer:

ioda2 years ago

8 0

Answer:

5:4 is one ratio you can use for solving 5 being boys and 4 being girls

Step-by-step explanation:

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MUSIC A song has 28 beats in 4 seconds. At this rate, how many beats are there in 30 seconds?

Deffense [45]

In 4 seconds, number of beats = 28
In 1 sec., it is = 28/4 = 7

Now, In 30 seconds, it would be: 30 * 7 = 210

In short, Your Answer would be: 210 beats

Hope this helps!

4 0

2 years ago

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Write or draw to explain a way to find each sum: 6+7, 8+4, 2+9

storchak [24]

Draw six dots then a plus sign then draw seven dots and the count them and put an equal sign and however many dots. Doe the same with the other numbers

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2 years ago

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a basket of oranges weighs 25lb 3oz. The empty basket weighs 1lb 4oz. What is the weight of the oranges?

marysya [2.9K]

Answer:

383 Oz, or 23.9375 Ibs

Step-by-step explanation:

Convert all the pounds to ounces for both just the basket and the basket with oranges then subratact the basket ounces from the basket and oranges ounces and you get your answer.

3 0

2 years ago

Make t the subject of the formula <br> P= 3-2t<br> —————<br> 4+t

Rufina [12.5K]

Answer:

$t = \frac{3 - 4p}{p + 2}$

Step-by-step explanation:

Given

$P = \frac{3 - 2t}{4 + t}$

Required

Make t the subject

$P = \frac{3 - 2t}{4 + t}$

Cross Multiply

$P * (4 + t) = 3 - 2t$

$4p + tp = 3 - 2t$

Collect Like Terms

$tp + 2t = 3 - 4p$

Factorize:

$t(p+2) = 3 - 4p$

Make t the subject

$t = \frac{3 - 4p}{p + 2}$

5 0

2 years ago

If $8700 is invested at 3% annual simple interest, how much should be invested at 6% annual simple interest so that the total ye

True [87]

First off, see how much 8700 as principal, yields at 3% APR
that is $\bf \qquad \textit{Simple Interest Earned}\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\to& \$8700\\
r=rate\to 3\%\to \frac{3}{100}\to &0.03\\
t=years\to &1
\end{cases}$

it will yield some amount

subtract that amount from 393
the difference is how much the yield will be on the 6% investment
so

$\bf \qquad \textit{Simple Interest Earned}\\\\
I = Prt\quad 
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\to& \$8700\\
r=rate\to 3\%\to \frac{3}{100}\to &0.03\\
t=years\to &1
\end{cases}
\\\\\\
\implies \boxed{?}\\\\
-----------------------------\\\\
\textit{how much to invest at 6\%?}
\\\\\\
$

$\bf \qquad \textit{Simple Interest Earned}\\\\
(393-\boxed{?}) = Prt\quad 
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\to& \$\\
r=rate\to 6\%\to \frac{6}{100}\to &0.06\\
t=years\to &1
\end{cases}
\\\\\\
\textit{solve for "P", to see how much should the Principal be}\\\\
\textit{keep in mind that }P+\boxed{?}=393\leftarrow \textit{both yields added}$

6 0

2 years ago