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AOB   +    BOC   =    180

8x+51       +     6x-25         =       180     now solve for 'x'   then  AOB = 8x+51

Since J is between H and K, then HJ + JK = HK.

That means 4x+7+5x-8=53.

Solving gets 9x-1 = 53, so 9x = 54, so x = 6.

That means the length of JK is 5*6-8 = 22.

You are very welcome!

:P

Need more info......

Create an equation:

If minutes = x,

800 - 6x = 1000 - 10x

4x = 200

x = 50

They will become equal at 50 minutes.

3 millimeters : 1 meter

3 millimeters : 1000 millimeters 

3/1000

This is a very simple question when you think about it. First find (4, -1) on each of the graphs, and if they are in the orange shaded area, then it is a solution to the equation.

There are 1440 ways of choosing the socks.

There are 68520 ways of arranaging the leopards.

By a calcualator, the answer is 87.5 degrees.

Have you tried drawing it?   What type of quadrilateral does it have to be?

Can you take a shot of what you have done or can you explain what you have done and your difficulties.

If you drae it properly you can probably work it out yourself.

Please no one else jump in. We are supposed to be encouraging people to find their own answers.

Drawing the diagram is a good idea but I would ignore everything else thedude has said.  

He/she has obviously not looked at the question.

That statement of yours describes something like this (see diagram)

X= 18

What is the estimated product of 1006 divided by 30?

Hello Guest!

Calculated in your head:

1006 divided by 30 \(\approx\) 100 : 3  + 6 : 30 \(\approx\) \(33\frac{1}{3}\) + 2 Zehntel \(\approx\) 33.5

  !

Whole milk is 4% butterfat. How much skim milk (no butterfat) should be added to 32 ounes of whole milk to obtain a mixture that is 2.5% butterfat?

Hello Guest!

\(32uz\cdot 4\%=(32uz+x)\cdot 2.5\%\\ 32\cdot 0.04uz=0.025\cdot 32uz+0.025x\\ 32\cdot 0.04uz-32\cdot 0.025uz=0.025x\\ x=\frac{32\cdot 0.04uz-32\cdot 0.025uz}{0.025}\)

\(x=19.2uz\)

 19.2uz skim milk should be added to 32 ounes of whole milk to obtain a mixture that is 2.5% butterfat.

  !

The pyramid has a square base.Work out the volume of the pyramid.

Hello Guest!

\(V=\frac{1}{3}a^2h\)

\(V=\frac{1}{3}\cdot (17.2cm)^2\cdot 24.4cm\\ V=\frac{17.2^2\cdot24.4}{3}cm^3\)

\(V=2406.165cm^3\)

  !

\(f(-1)=-2\\\implies f(-2)=\color {pink} {\boxed {\mathbf {7}}}\)

7

9+18+27+36+45+54+63+72+81+90+99 = 594

-3 + 14 = 14 -3 = 11

im still struggling on this question lmao

hat does it stand for?

Slope or
Gradienty when x=0
(see Y Intercept)

y = how far up

x = how far along

m = Slope or Gradient (how steep the line is)

b = value of y when x=0

How do you find "m" and "b"?

b is easy: just see where the line crosses the Y axis.

m (the Slope) needs some calculation:

m = Change in YChange in X 

Knowing this we can work out the equation of a straight line:

Example 1

m = 21 = 2

b = 1 (value of y when x=0)
 

So: y = 2x + 1

With that equation you can now ...

... choose any value for x and find the matching value for y

For example, when x is 1:

y = 2×1 + 1 = 3

Check for yourself that x=1 and y=3 is actually on the line.

Or we could choose another value for x, such as 7:

y = 2×7 + 1 = 15

And so when x=7 you will have y=15