Answer:
y=mx + b (slope intercept form) m= slope, b =y-intercept
slope=rise/ run
Step-by-step explanation:
The slope intercept form is a line (straight line)
y = 3x - 7 slope 3 (rise=3, run = 1), y-intercept = -7
y = - 1 3 x + 7 slope -13 , y-intercept = 7
y=-3x - 7 slope -3, y-intercept = -7
Answer:
96 in^3
Step-by-step explanation:
Answer:
a = 4,
b = 12
c = 10
d = 15
Step-by-step explanation:
Since the product of each column is equal, therefore,
b*5 = 60
b = 60 ÷ 5 = 12
c*6 = 60
c = 60 ÷ 6 = 10
Since the sum of each column are equal, therefore,
12 + 10 + a = 5 + 6 + d
22 + a = 11 + d
Think of a number you can add to 22, and another number you can add to 11, which will make both sides equal. Add both numbers, whenmultiplied together should give you 60.
Factors of 60 are:
(a, d)
(1, 60) => 22 + a = 11 + d => 22+1 = 11+60 (incorrect)
(2, 30) => 22 + a = 11 + d => 22+2 = 11+30 (incorrect)
(3, 20) => 22 + a = 11 + d => 22+3 = 21+20 (incorrect)
(4, 15) => 22 + a = 11 + d => 22+4 = 11+15 => 26 = 26 [CORRECT]
(5, 12) => 22 + a = 11 + d => 22+5 = 11+12 (incorrect)
(6, 10) => 22 + a = 11 + d => 22+6 = 11+10 (incorrect)
Therefore,
a = 4,
d = 15
side length of square =4
side length of cube=3
hence the correct statement is,
the side length of the cube is less than the side length of the square
Answer:
"no additional days of food need to be ordered."
Step-by-step explanation:
Suppose initial quantity of food is x units
Assuming each student eats 1 unit of food per day,
x = 30 * 100 = 3000 units of food
In 2 days, food eaten:
100 * 1 * 2 = 200 units
So food left after 2 days is 3000 - 200 = 2800 units
Now, there are 140 students. They stay 2 weeks (14 days) - 2 = 12 more days
So food eaten in 12 days:
140 * 1 * 12 = 1680 units
<u>THus, after total 14 days gone, the amount of food left is:</u>
2800 - 1680 = 1120 units
Half students left, so there are 70 students left for the last 16 days. How much food would they need?
70 * 1 * 16 = 1120 units
And there are exactly 1120 units left. So, no additional days of food need to be ordered.
