Answer:
Step-by-step explanation:
The number of pencils at the beginning of the school year is 100. Since the pencils which she allowed the students to borrow is not usually returned. The rate at which she loses the pencils per month would constant. So the slope of the graph if number of pencils is plotted on the y axis and the months on the x axis,
The slope, m would be - 8 pencils per month because it is reducing
The equation for slope intercept form is expressed as
y = mx + c
Where
c = intercept
To determine c, we would substitute y = 100, x = 0 and m = 8 into the slope intercept equation. Ut becomes
100 = - 8×0 + c
c = 100
The equation becomes
y = - 8x + 100
Alexis worked for 59 hours, Becca worked for 74 hours and Cindy worked for 152 hours.
Step-by-step explanation:
Given,
Total hours worked by three of them = 285 hours
Let,
x represent the hours of Alexis.
y represent the hours of Becca.
z represent the hours of Cindy.
According to given statement;
x+y+z=285 Eqn 1
Alexis worked 15 hours less than Becca.
x = y-15 Eqn 2
z = 2y+4 Eqn 3
Putting value of x and z from Eqn 2 and 3 in Eqn 1

Dividing both sides by 4

Putting y=74 in Eqn 2

Putting y=74 in Eqn 3

Alexis worked for 59 hours, Becca worked for 74 hours and Cindy worked for 152 hours.
Keywords: linear equation, division
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Hey there!
If these hexagons are congruent, then each angle is congruent to the one that is in the same position as it is. In this case, I and V are congruent because they are both last. K and U are congruent because they are both second to last.
While looking over the answer options, you should be able to see that Angle J and Angle S is the only answer with angles that match up, because they are both the first angle in the set.
I hope this helps!
Answer:
7
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Step-by-step explanation: