Answer:
28
Step-by-step explanation:
The 5 part of the ratio represents 35 girls , then
35 ÷ 5 = 7 ← value of 1 part of the ratio, then
4 parts = 4 × 7 = 28 ← number of boys
Variables are any letter so in the case of your equation the variables would be f and x.
Answer:
Step-by-step explanation:
The usual equation used for the vertical component of ballistic motion is ...
h(t) = -16t² +v₀t +h₀
where v₀ is the initial upward velocity, and h₀ is the initial height. Units of distance are feet, and units of time are seconds.
Your problem statement gives ...
v₀ = 64 ft/s
h₀ = 8 ft
so the equation of height is ...
h(t) = -16t² +64t +8
__
For quadratic ax² +bx +c, the axis of symmetry is x=-b/(2a). Then the axis of symmetry of the height equation is ...
t = -64/(2(-16)) = 2
The object will reach its maximum height after 2 seconds.
The height at that time will be ...
h(2) = -16(2²) +64(2) +8 = 72
The maximum height will be 72 feet.
Answer:
30 plants.
Step-by-step explanation:
Elizabeth has 1 and 7/10 as many plants as Rosalie, so she has more plants than her, since the fraction is greater than one. So that means you need to take the number of plants Elizabeth has and divide it by the fraction.
51 / (1 7/10) = 30
To do this, remember to make both sides into a mixed number fraction, flip the second fraction, and then multiply them together. So 1 and 7/10 becomes 17/10 and 51 becomes 51/1. Then flip 17/10 and multiply.
51/1 * (10/17) = 510/17
Then simplify.
510/17 = 30
Hope this helps.