The difference of x and a number is 6. What is the other number?A) 6-x
B) x-6
C) 6-(x-6)
D) 6+x

Answer:

11

Step-by-step explanation:

PEMDAS

divide first, then add

Answer: 11

Step-by-step explanation: Divide & multiply first so 12/4 then add 8 which would = 11

The fraction of Bobby's sports cards are baseball or football from the given fractions is; 69/100

How to simplify Fractions?

We are told that Bobby's collection of sports cards has 3/10 baseball cards and 39/100 football cards.

Thus,

Total baseball and football cards = 39/100 + 3/10 = 69/100

We are told that the rest are soccer cards. Thus;

Fraction of soccer cards = 100/100 - 69/100 = 31/100.  

In conclusion the fraction of Bobby's sports cards that are baseball or football is 31/100.

Read more about simplifying fractions at; brainly.com/question/1622425

2/5 is closer to 0

4/7 is closer to 1

the fraction would be 34/35 and is closer to 1 in decimal form it's about .97

hope it helps :)

Question:

1) The kick is good! The ball passes about 10 feet above the crossbar.

2) The kick is good! The ball clears the crossbar by approximately 14 feet.

3) The kick is good! The ball clears the crossbar by about 4 feet.

4) The kick is not successful. The ball is 2 feet too low.

Answer:

The correct option is;

3) The kick is good! The ball clears the crossbar by about 4 feet.

Step-by-step explanation:

Here we have

Horizontal distance from goal, x = 36 yards = 108 ft

Vertical distance of goal, y = 10 ft

Angle of elevation of ball = 34°

Initial velocity of ball, v₀ = 68 ft/s

∴ Vertical component of velocity = = v₀×sin(θ₀)×t - g×t

Horizontal component of velocity = vₓ = 68×cos(34) = 56.375 ft/s

The equation for projectile motion is as follows

x = x₀ + v₀×cos(θ₀)×t

y = y₀ + v₀×sin(θ₀)×t - 1/2×g×t²

Where:

x₀ = Initial horizontal displacement of the ball = 0

y₀ = Initial vertical displacement of the ball = 0

t = Time of flight of the ball

Therefore;

108 = 0 + 68×cos(34)×t which gives;

t = 108/56.375 = 1.916 seconds

Hence, y = y₀ + v₀×sin(θ₀)×t - 1/2×g×t² gives;

y = 0 + 68×sin(34)×1.916 - 1/2×32.2×1.916²

y = 72.85 - 59.09 = 13.76 ft, hence the vertical location of the ball at 36 yard is 13.76 ft where the crossbar is at 10 ft hence the ball clears the crossbar by 13.76 ft - 10 ft = 3.76 ft ≈ 4 ft

Therefore, the kick is good! The ball clears the crossbar by about 4 feet.