Answer:
Step-by-step explanation:
- Total number of bikes = 18
- Bikes with gears S = 9
- Bikes with suspension S = 11
- Bikes with both GS = 5
<u>From the information above we have:</u>
- Bikes with gears only = 9 - 5 = 4
- Bikes with suspension only = 11 - 5 = 6
<u>Sum of the above two gives us the number of bikes with suspension or gears:</u>
<u>Probability of selected bike be G or S is:</u>
Answer:
4 7/8 or 4.875
Step-by-step explanation:
1 1/4 + 3 5/8 = 4 7/8 or 4.875
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Answer:
see explanation
Step-by-step explanation:
Given that M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportion
To find k use the condition when r = 4, M = 160, thus
160 = k × 4³ = 64k ( divide both sides by 64 )
2.5 = k
M = 2.5r³ ← equation of variation
(a)
When r = 2, then
M = 2.5 × 2³ = 2.5 × 8 = 20
(b)
When M = 540, then
540 = 2.5r³ ( divide both sides by 2.5 )_
216 = r³ ( take the cube root of both sides )
r = ![\sqrt[3]{216}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B216%7D)
= 6
Answer:
9
Step-by-step explanation:
KL + KJ = 17
2 + 3x + 5x - 1 = 17 add like terms
8x + 1 = 17 subtract 1 from both sides
8x = 16 divide both sides by 8
x = 2
KL = 5x - 1 replace x with 2
5*2 - 1 = 9
Answer:
B
Step-by-step explanation:
recall that point-slope form of a linear equation is expressed as follows
y - y1 = m (x - x1)
where m = slope and (x1, y1) is the coordinate of any point on the line
so, here we have m = (3/5), x1 = 4 and y1 = -6
substitute these into the formula
y - (-6) = (3/5) (x - 4)
y + 6 = (3/5) (x - 4)----> answer
