All categories

3 years ago

10 points. See picture

Mathematics

1 answer:

natali 33 [55]3 years ago

4 0

She will need 6 bottles.
4/3 ×9/2= 36/6=6

You might be interested in

Tim and Tom are trying to earn money to buy a new game system over a 3-month period. Tim saved $45.14 each month. If they need a

Ivahew [28]

The correct answer is C:$76.05. Tim would make 135.42 in three months and the total (221.47) minus 135.42 equals 76.05.

6 0

3 years ago

Read 2 more answers

If sinx = p and cosx = 4, work out the following forms :<br><br><br>

Kay [80]

Answer:

$\frac{p^2 - 16} {4p^2 + 16}$

Step-by-step explanation:

I will work with radians.

$\frac {\cos^2 \left(\frac{\pi}{2}-x \right)+\sin(-x)-\sin^2 \left(\frac{\pi}{2}-x \right)+\cos \left(\frac{\pi}{2}-x \right)} {[\sin(\pi -x)+\cos(-x)] \cdot [\sin(2\pi +x)\cos(2\pi-x)]}$

First, I will deal with the numerator

$\cos^2 \left(\frac{\pi}{2}-x \right)+\sin(-x)-\sin^2 \left(\frac{\pi}{2}-x \right)+\cos \left(\frac{\pi}{2}-x \right)$

Consider the following trigonometric identities:

$\boxed{\cos\left(\frac{\pi}{2}-x \right)=\sin(x)}$

$\boxed{\sin\left(\frac{\pi}{2}-x \right)=\cos(x)}$

$\boxed{\sin(-x)=-\sin(x)}$

$\boxed{\cos(-x)=\cos(x)}$

Therefore, the numerator will be

$\sin^2(x)-\sin(x)-\cos^2(x)+\sin(x) \implies \sin^2(x)- \cos^2(x)$

Once

$\sin(x)=p$

$\cos(x)=4$

$\sin^2(x)-\cos^2(x) \implies p^2-4^2 \implies \boxed{p^2-16}$

Now let's deal with the numerator

$[\sin(\pi -x)+\cos(-x)] \cdot [\sin(2\pi +x)\cos(2\pi-x)]$

Using the sum and difference identities:

$\boxed{\sin(a \pm b)=\sin(a) \cos(b) \pm \cos(a)\sin(b)}$

$\boxed{\cos(a \pm b)=\cos(a) \cos(b) \mp \sin(a)\sin(b)}$

$\sin(\pi -x) = \sin(x)$

$\sin(2\pi +x)=\sin(x)$

$\cos(2\pi-x)=\cos(x)$

Therefore,

$[\sin(\pi -x)+\cos(-x)] \cdot [\sin(2\pi +x)\cos(2\pi-x)] \implies [\sin(x)+\cos(x)] \cdot [\sin(x)\cos(x)]$

$\implies [p+4] \cdot [p \cdot 4]=4p^2+16p$

The final expression will be

$\frac{p^2 - 16} {4p^2 + 16}$

8 0

3 years ago

Is 0 a solution to 2x+10 = 4x+10 explain or show your reasoning

otez555 [7]

0 is considered a solution because when you multiply both 4 and 2 by 0, you always get 0. when you add 10 to 0 you get zero, meaning that you get the same answer for both sides.

3 0

3 years ago

What value from the set 4,5,6,7,8 makes the equation 4x + 3 = 23 true

JulijaS [17]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A factory uses 1/5 of a barrel of raisins in each batch of granola bars. Yesterday, the factory used 2/5 of a barrel of raisins.

erastovalidia [21]

Answer:

The factory made2 batches of granola bars.

Explanation:

1/5 plus 1/5 is 2/5 and it takes the factory 1/5 of a barrel to make 1 batch of granola bars.

7 0

3 years ago