Answer:
20 minutes
Step-by-step explanation:
Remember that

we know that
Hector has 3/4 hour to spend his homework
Convert to minutes

so
1) He wants to spend 1/3 of this time on math homework
To find out the time on math homework, multiply 45 minutes by 1/3

2) He wants to spend 10 minutes of his time on reading homework
3) He wants to spend the remaining time on science homework
The time spend on math homework plus the time spend reading homework, plus the time spend on his science homework must be equal to 45 minutes
Let
x ----> the time spend on his science homework

Solve for x

Answer:
See explanartions below
Step-by-step explanation:
Given the coordinates A(-6,3) B(0,5) C(2,-1)
We first need to get the slope of AB, BC and AC
For AB;
A(-6,3) B(0,5)
Mab = 5-3/0-(-6)
Mab = 2/6
Mab = 1/3
For BC;
B(0,5) C(2,-1)
Mbc = -1-5/2-0
Mbc = -6/2
Mc = -3
For AC:
A(-6,3) C(2,-1)
Mac = -1-3/2-(-6)
MAc = -4/8
Mac = -1/2
Taking the product of Mab and Mbc
Mab * Mbc = 1/3 + -3
Mab * Mbc = -1
<em>Since the product of Mab and Mbc is -1, hence AB abd BC are perpendicular showing that one of the angle of triangle ABC is 90 degrees</em>
Subtract magazine from total:
25 -5 = 20
Divide by number of erasers:
20/4 = 5
Each eraser cost $5
Answer:
(10)^(10^100)
Step-by-step explanation:
Answer:
y = 4/3x +2
Step-by-step explanation:
The graph crosses the y-axis at y=2, so that is the y-intercept.
The points have a rise of 4 units for each horizontal run of 3 units, so the slope is ...
m = rise/run = 4/3
The slope-intercept equation for the line is ...
y = mx +b . . . . . . line with slope m and y-intercept b
y = 4/3x +2
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