<span>After you solve a system of linear equations, you will get an ordered pair (x,y). Replace x with whatever number you obtained for x, and replace y with whatever number you obtained for y. If both your equations are true upon simplifying, you know it is correct.</span>
Y intercept:
Y=-6-9(0)
=-6
(0,-6)
I’m assuming the slope is the gradient if that’s the case then it would be -9 since
Y=mx+c
m is the gradient and in this case it’s -9
I think the fourth answer is correct because instead of subtracting 0.25 from c, you could do the opposite, wich is 0.75 x c.
This would be your equation;
So first find the value of the square root;
(rounded to the nearest hundredth)
Next divide the decimal by 2;
12.81 ÷ 2 = 6.41(rounded to the nearest hundredth)
So your final answer would be;
6.41
Hope this helps! :D
Answer:
3. B. 128
4. B. 50.24
Step-by-step explanation:
3. The Books
The numbers of the problem make it quite easy.
We can easily figure out how many books will be stacked in each dimension of the trunk.
Length:
Books: 10 inches
Trunk: 40 iinches.
How may books can you fit lengthwise in the trunk? 40 / 10 = 4
We then to the same for the width:
Books: 6 inches
Trunk: 24 inches
How many books can you stack wide-wise in the trunk? 26/4 = 4
And then the height:
Books: 2.5 inches
Trunk: 20 inches
How many books stacked in height? 20 / 2.5 = 8
So, we can saw the trunk is 4 books long, by 4 books wide by 8 books thick... so, the number of books you can fit in that trunk is:
B = 4 * 4 * 8 = 128
4. Tomato juice
First, we have to find the volume of that big can...
Since it's a cylinder, its volume is calculated by:
V = π * r² * h and we have everything we need:
V = 3.14 * 4² * 12 = 192 * 3.14 = 602.88 cu in
We know a cup of tomato juice takes 12 cu inches...
So, how many cups of juice fit in that can?
C = 602.88 cu in / 12 cu in/cup = 50.24 cups
