Answer:
A) 5.50x + 10y ≤ 800
B) yes
C) no
D) 80 pull buoys and 35 kick boards
Step-by-step explanation:
A) The sum of costs must not exceed the budget:
5.50x +10.00y ≤ 800
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B) 5.50(0) +10.00(50) = 500 ≤ 800 . . . . . yes, the coach could buy these
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C) 5.50(125) +10.00(25) = 937.50 > 800 . . . no, they cost too much
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D) The point (80, 35) is in the solution space. The coach could buy 80 pull buoys and 35 kick boards.
Answer:
Step-by-step explanation:
All the angles in a triangle have to add up to 180 degrees.
#17.)
45+50=95
180-95=85
x=85
#18.)
This one is a little different. The furthest two angles are complimentary which means that they add up to 180 degrees (a straight line.) Once you find the missing angle to that one, you can do the same thing as you did in #17.
180-118=62.
25+62=87
180-87=93
x=93
#21.)
For this one a slightly larger equation is needed. Since we don't have a definite number for the bottom left angle, we have to use x+2 as our number. We first have to find the bottom right angle though.
180-108=72
x+x+2+72=180
2x+74=180
2x=106
x=53
Answer:
about $342 or $171 per airpod
Step-by-step explanation:
the airpods cost about $171 each
1,200 ÷ 7 = 171 x 2 = 342
glad to help :)
Answer:
4.2 ft
Step-by-step explanation:
We can assume that the truck is vertically straight, so this will make up the vertical side of the triangle.
This means that the triangle is a right triangle since a right angle will be formed with the ground and the 3 ft side.
Next, we have the ramp length which is 5.2 ft long. This will be the hypotenuse of the right triangle since the ramp is slanted.
We want to find the length of the horizontal leg of the right triangle, which will give us the horizontal distance the ramp reaches.
We can use the Pythagorean Theorem since this is a right triangle:
- a² + b² = c²
- a and b are the legs, c is the hypotenuse
Substitute these values into the equation and solve for b.
- (3)² + b² = (5.2)²
- 9 + b² = 27.04
- b² = 18.04
- b = 4.24735211632
The horizontal distance the ramp reaches is 4.2 ft, parallel to the ground.
