Answer:
63mm
Step-by-step explanation:
7mm+8mm=15.
15×15=225
12×12=144(area equals base times height) add 225-144=81(here we are using the Pythagoras theory) so you search for the square root of 81 which is 9 meaning the height is 9. since we say area is 1/2base times height we should take 1/2 ×9×12=63.if the answer doesn't match with the answer in your book please tell me right away so that I can try another method thank you
Let the cost of 1 notebook be x and the cost of 1 binder be y.
4 notebooks and 3 binders would cost 23.5
Therefore, 4x + 3y = 23.5 (1)
7 notebooks and 6 binders would cost 44.5
Therefore, 7x + 6y = 44.5 (2)
Multiply the first equation by 2.
8x + 6y = 47 (3)
(3) - (2) gives
x = 2.5
Substitute the value of x in (1), we get,
4(2.5) + 3y = 23.5
10 + 3y = 23.5
3y = 23.5 - 10
3y = 13.5
y = 13.5/3
y = 4.5
Hence, cost of 5 notebooks and 3 binders is:
5x + 3y = 5(2.5) + 3(4.5)
= 12.5 + 13.5
= 26
Hence, cost of 5 notebooks and 3 binders is $26.
Let's solve this problem step-by-step.
6+0.1x=0.15x+8
Step 1: Simplify both sides of the equation.
0.1x+6=0.15x+8
Step 2: Subtract 0.15x from both sides.
0.1x+6−0.15x=0.15x+8−0.15x
−0.05x+6=8
Step 3: Subtract 6 from both sides.
−0.05x+6−6=8−6
−0.05x=2
Step 4: Divide both sides by -0.05.
-0.05x/-0.05=2/-0.05
So, the answer for this problem is x=-40
Answer: x < 2
Explanation: To solve for <em>x</em> in this inequality, our goal is the same as it would be if this were an equation, to get <em>x</em> by itself on one side.
Since 3 is being subtracted from <em>x</em>, we add 3
to both sides of the inequality to get <em>x < 2</em>.
Before we graph, write your answer in set notation.
We can write this as {x: x < 2}.
It's important to understand what this means.
This means that any number less than 2 is a solution to this inequality.
I have graphed the inequality for you below.
Start with an open dot on +2.
We use an open dot because +2 is not included as a solution.
Then draw an arrow going to the left.
