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3 years ago

What is 1/4 plus 5/6 equal in the simplest form

1 answer:

3 0

$\frac{1}{4}+\frac{5}{6}=\ \ \ \ |Make\ a\ common\ denominator\\\\
\frac{3}{12}+\frac{10}{12}=\ \ \ \ |Add\ nominators\\\\ \frac{13}{12}=1\frac{1}{12}\\\\Solution\ is\ 1\frac{1}{12}.$

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A coin sorting machine can sort a certain number of coins in 15 min a second machine can sort the same number of coins in 30 min

padilas [110]

Answer:

10 minutes

Step-by-step explanation:

Let's use the variable x for the amount of coins.

The first machine can sort x coins in 15 minutes, so its speed is x/15 coins/minute.

The second machine can sort x coins in 30 minutes, so its speed is x/30 coins/minute.

If we sum the speeds, we have that the speed will be:

speed = (x/15) + (x/30) = (2x + x)/30 = 3x/30 = x/10

The total speed can sort x/10 coins per minute, that is x coins in 10 minutes.

7 0

4 years ago

Heyy pls help! worth 20 points, and please only help if you know the answer. also no links those r kinda annoying lol

iragen [17]

Step 1: Find the slope:

$m= \dfrac{y_2-y_1}{x_2-x_1}= \dfrac{-2-7}{4-(-2)} = \dfrac{-9}{6}= -\dfrac{3}{2}$

This gives you $y=-\dfrac{3}{2}x+b$ , but we need to find b.

To find b, substitute in one (x,y) pair and it doesn't matter which one. I'll go with (4,-2):

$\begin{aligned}-2&=-\dfrac{3}{2}(4)+b\\[0.5em]-2&=-6+b\\[0.5em]4&=b\end{aligned}$

Now take that b-value and plug in into the slope-intercept form:

$y=-\dfrac{3}{2}x+4$

It's always a good idea to toss in the other x-value from the other point, to make sure it checks out.

7 0

3 years ago

Solve by using the measurements ∠PQR = 90°, ∠QRP = 80°, and r = 15. Round measures of sides to the nearest tenth and measures of

valkas [14]

Good evening ,

___________________

Step-by-step explanation:

Look at the photo below for the answer.

5 0

3 years ago

Read 2 more answers

Is 1/3 and 2/6 equivalent

Helga [31]

Yes because 2/6 divided in half is 1/3

8 0

3 years ago

Read 2 more answers

Dina invests $600 for 5 years at a rate of 2% per year compound interest.

kenny6666 [7]

Answer:

The investment after 5 years is $ 662.45.

Step-by-step explanation:

Principal, P = $ 600

Time, t = 5 years

Rate of interest, R = 2 %

Time , t = 5 years

The amount after the time 5 years is

$A = P \times \left ( 1+\frac{R}{100} \right )^t\\\\A = 600\left ( 1+0.02 \right )^5\\\\A = 662.45$

So, the investment after 5 years is $ 662.45.

4 0

3 years ago