Ask question

Ask question

All categories

3 years ago

13

When a teacher divided her students into groups of four, she had three students remaining. when she divided them into groups of

five, she had four students remaining. there were fewer than 40 students in the class. how many students could be in the class?

1 answer:

AfilCa [17]3 years ago

5 0

39 students....39/4 = 9 remainder 3
39/5 = 7 remainder 4

ur answer is 39

You might be interested in

Could someone pls answer

cricket20 [7]

The answer should be 10

4 0

1 year ago

The GCF of 24 and 32 is

Oksana_A [137]

Start by setting up a factor tree for each number.

Factor in anyway that you'd like.

At the end, circle all prime numbers.

Remember, prime numbers are numbers

with only 2 factors, 1 and the number itself.

Now write these factors in least to greatest

multiplying them separate rows.

Circle factors they have in common.

Since 3 pairs of two's match up, multiply by 2 three times to get 8.

So the GCF is 8.

4 0

3 years ago

Read 2 more answers

Simple math. <br> Question 11.

Alborosie

Answer: By 9.1%

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

PLEASE HELP I DO NOT UNDERSTAND AT ALL ITS PRECALC PLEASE SERIOUS ANSWERS

Elina [12.6K]

You want to end up with $A\sin(\omega t+\phi)$ . Expand this using the angle sum identity for sine:

$A\sin(\omega t+\phi)=A\sin(\omega t)\cos\phi+A\cos(\omega t)\sin\phi$

We want this to line up with $2\sin(4\pi t)+5\cos(4\pi t)$ . Right away, we know $\omega=4\pi$ .

We also need to have

$\begin{cases}A\cos\phi=2\\A\sin\phi=5\end{cases}$

Recall that $\sin^2x+\cos^2x=1$ for all $x$ ; this means

$(A\cos\phi)^2+(A\sin\phi)^2=2^2+5^2\implies A^2=29\implies A=\sqrt{29}$

Then

$\begin{cases}\cos\phi=\frac2{\sqrt{29}}\\\sin\phi=\frac5{\sqrt{29}}\end{cases}\implies\tan\phi=\dfrac{\sin\phi}{\cos\phi}=\dfrac52\implies\phi=\tan^{-1}\left(\dfrac52\right)$

So we end up with

$2\sin(4\pi t)+5\cos(4\pi t)=\sqrt{29}\sin\left(4\pi t+\tan^{-1}\left(\dfrac52\right)\right)$

8 0

3 years ago

Read 2 more answers

What are the solutions to the following system?<br> -2x+y=-5<br> y --3x²+5<br> L

seraphim [82]

The problem seems confusing is it supposed to say y=?

3 0

3 years ago