Answer:
C. 10
Step-by-step explanation:
Let x and y represent push-ups and pull-ups, respectively.
x + y = 24 . . . . . . combined total of push/pull-ups
2x +4y = 68 . . . . time required for the exercise
We can divide the second equation by 2 and subtract the first:
(1/2)(2x +4y) -(x +y) = (1/2)(68) -(24)
x +2y -x -y = 34 -24 . . . . . eliminate parentheses
y = 10 . . . . . . . . . simplify
Malia did 10 pull-ups.
__
She did 14 push-ups.
Answer:
x = 17
Step-by-step explanation:
Since the triangles are congruent, the angles are equal
I≅ P
3x+4 = 72-x
Add x to each side
3x+4+x = 72-x+x
4x+4 = 72
Subtract 4 from each side
4x+4-4 = 72-4
4x= 68
Divide by 4
4x/4 = 68/4
x = 17
Write an expression using multiplication and addition with a sum of 16:
2 x 6 +4
<h3>Answer: Choice A</h3><h3>y = (-2/3)x + 12</h3>
================================================
Work Shown:
We will only focus on the two points that are on the regression line.
Those two points are (3,10) and (12,4)
Let (x1,y1) = (3,10) and (x2,y2) = (12,4)
Find the slope of the line through (x1,y1) = (3,10) and (x2,y2) = (12,4)
m = (y2 - y1)/(x2 - x1)
m = (4 - 10)/(12 - 3)
m = -6/9
m = -2/3
Plug m = -2/3 and (x1,y1) = (3,10) into the point slope formula
Solve for y.
y - y1 = m(x - x1)
y - 10 = (-2/3)(x - 3)
y - 10 = (-2/3)x + (-2/3)(-3) ... distribute
y - 10 = (-2/3)x + 2
y - 10 + 10 = (-2/3)x + 2 + 10 .... add 10 to both sides
y = (-2/3)x + 12
This matches up with what the graph shows because the regression line intersects 12 on the y axis, so the y intercept is 12.
y = (-2/3)x + 12 is in the form y = mx+b with m = -2/3 as the slope and b = 12 as the y intercept.
Answer:
125%
Step-by-step explanation:
lets just say the book is $100. 20% less would be $80
now to go back to $100, we need to add $20 to $80
20 is 25% of 80, so add the extra 25% to 100% of 80