13
10x13=130
she will have 3 pencils left over
130-127=3
she would need 70 more pencils (or 7 boxes)
130+70=200
Answer:
y=-3x+2
y = x - 5
Step-by-step explanation:
<u>Question 1</u>
It is given that;
- one of the lines has an equation of; y = -3x-7
- the given line's y-int is (0, 2) ~(The y-int is when the line crosses the y axis, hence x is zero)
- these two lines are parallel
When two lines are parallel, their slope is the same, hence the equations of the given line would look like this;
y = -3x + 2
In the slope-intercept format (which is; y = mx + b, where "m" is the slope, and "b" is the y-intercept).
<u>Questions 2</u>
It is given that;
- one of the lines has an equation of y = -5x + 1
- the given line's y-int is (0, -5) ~(The y-int is when the line crosses the y axis, hence x is zero)
- these two lines are perpendicular
When two lines are perpendicular, their slopes are the negatives reciprocal of each other, hence the equations of the given line would look like this;
y = x - 5
In the slope-intercept format (which is; y = mx + b, where "m" is the slope, and "b" is the y-intercept).
Answer:
A = (x + 7)(x + 9)
Step-by-step explanation:
Let the width w = x
then length l = w + 4 = x + 4
Area = length x width
= x(x+4)
Then the the width is increased by 7 units and the length increased by 5 units.
w = x + 7
l = (x + 4) + 5 =x + 9
A = (x + 7)(x + 9)
We can set Maggie's age to x
If her brother is six years younger than four times her age, than her brother must be equal to: 4x-6
Since the sum of their ages is 39, we can set up an equation.
(Sum of Maggie's age) + (sum of Maggie's brother's age) = 39
x + (4x -6) = 39
5x -6 = 39
5x = 45
x = 9 , Maggie's age is 9