Based on the given situation, Max final number if his starting number is 7 is -4.5
<h3 /><h3>Algebra</h3>
n + 8
2(n + 8)
So,
2(n + 8) = 7
2n + 16 = 7
2b = 7 - 16
2n = -9
n = -9/2
n = -4.5
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Answer
A. 129.3
B. The students ages can be any number within the ranges, so having the middle number wont represent the other possible heights.
Step by step
'h' is the number between the surrounding number, the first would be 122.
You need to multiply the hight by frequency of each one,
122x7 =854
126x8=1008
130x13=1690
134x9=1206
138x3=414
Add them up = 5172
5172/40 =129.3
Set it into proportions.
$0.40/0.25 miles = x/15 miles
And then solve the proportion.
0.25*x = 0.40*15
0.25x = 6
0.25x/0.25 = 6/0.25
x=24
Therefore, Emily's mother donates $24 if she bikes 15 miles.
Answer:
8√2
Step-by-step explanation:
4√2 + 7√2 - 3√2 = (√2)(4 + 7 - 3) = 8√2
Recognize that √2 is a common factor and simply add its coefficients.
We can draw a right triangle to easily visualize the given problem. Since the ski jumper is 2650 ft from the base of the ski jump, we can consider this as one of the right triangle's legs.
What we're looking for is the height of the ski jump or the other leg of the right triangle. Since the ski jumper looks up at an angle of elevation of 26°, we can use the tangent function to find the missing height. You may refer to the image below to better understand the problem.
Recall that tanθ = (opposite side facing the angle)/(side adjacent to the angle). For this case, we have

Hence, the height of the ski jump (rounded off the nearest whole foot) is 1292 feet.
Answer: 1292 feet