You can do this !
The rectangular prism has
-- length = 10 cm
-- width = 7 cm
-- height = 3 cm.
-- The area of the top and bottom is (length x width) each.
-- The area of the left and right sides is (length x height) each.
-- The area of the front and back is (width x height) each.
There. I just laid out all the schmartz you need to answer this question.
The rest is all simple arithmetic, and you're perfectly capable of turning
the crank and getting the answer. You don't need anybody else to do
that part for you.
Don't forget your units. The area of each flat face is (cm) times (cm),
and that product will be some cm² , for area.
Hi!
To solve this, we must make an equation in y = mx + b form, where m is the slope and b is the y-intercept.
Since we are looking at a graph with points, it saves us a TON of work, and all we have to do is simply look at the graph. We only need to find m and b, that's it!
M is the slope, and the slope can be represented by the change between points on a line, also known as <em>rise/run. </em>
If we start at point (-4, -1), and go to point (-2, 0), we can see that it goes up 1 and right 2, which would be represented as 1/2.
B is the y-intercept, and that is simply the point that is on the y-axis, which is the point (0, 1), so our number would be 1.
Therefore, plugging these numbers into the equation, our equation is y = <em>1/2</em>x + <em>1</em>
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Hope this helps! :D
Answer:
The numbers are 9, 19 and 76.
Step-by-step explanation:
Let's take the second number and make it a variable, like x. Now let's find all the other numbers in terms of x.
The first number in terms of x:
The second number in terms of x:
If we add them all up, these 3 numbers in terms of x must be equal to 104, so:
Now that we know the second number, we can find the other numbers since we already figured out their values in terms of x:
The first number is 9, second number 19 and the third number 76.
Answer:
The carpenter will not be able to buy 12 '2 by 8 boards' and 14 '4 by 4 boards'.
Step-by-step explanation:
Given:
Amount a carpenter can spend at most = $250
The inequality to represent the amount he can spend on each type of board is given as:
where 
represents '2 by 8 boards' and 
represents '4 by 4 boards'.
To determine whether the carpenter can buy 12 '2 by 8 boards' and 14 '4 by 4 boards'.
Solution :
In order to check whether the carpenter can buy 12 '2 by 8 boards' and 14 '4 by 4 boards' , we need to plugin the 
and 
in the given inequality and see if it satisfies the condition or not or in other words (12,14) must be a solution for the inequality.
Plugging in and in the given inequality
The above statement can never be true and hence the carpenter will not be able to buy 12 '2 by 8 boards' and 14 '4 by 4 boards'.
