Answer: 40
Step-by-step explanation: first make the ratio into a fraction, 2/3
then make 24 into a fraction with the numerator as a variable and the denominator as 24, x/24
then cross multiply 2 and 24.
2x24=48
then divide 48 by 3, 16.
last add the number of lollipops to 16 and the answer is 40.
Answer:
y = -1/2 x + 2
Step-by-step explanation:
Which of the following equations describes the line shown below? Check all
that apply.
(-4, 4)
(2, 1)
The standard equation of a line is y = mx,+b
m is the slope
b is he y-inttercept
Get the slope
Slope m = y2-y1/x2-x1
Substitute the coordinate
M = 1-4/2-(-4)
M = -3/6
M = -1/2
Substitute m= -1/2 and (2,1) into y = mx+b
1 = -1/2(2)+b
1 = -1+b
b = 1+1
b=2
Get the equation
Recall y =mx+b
y = -1/2 x + 2
4/5 = 8/10 = 12/15 = 16/20 = 20/25
Hope it helps
Answer:
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- <u>She should aim 6 feet down the wall</u>
Explanation:
The diagram attached sketches the situtation.
Since the angle with which the ball hits the wall is the same with which it bounces, angle β is the same for the two shown triangles.
Then, since both are right triangles, then all the angles are congruent and the triangles are similar. Hence, you can equal the ratios of the sides, to make an equation:
You have other equation:
Substitute
- 2y + y = 18
- 3y = 18
- y = 18/3
- y = 6 ← this is the distance down the wall where the ball should hit
Then, she should aim 6 feet down the wall.
4
You can just put this into a calculator:
1/2^2 = 0.25
3×5-3 = 12
1^3 = 1
0.25 × 12 + 1 = 4