Let me help you with this :)

John = x
Mike = y

x = 4 + 3y (4 more than 3 times)

x + y = 20 (we put the x above into this equation)

4 + 3y + y = 20
4y = 16 (we transfers the 4 on the left side to the right side and subtract it from the 20)
y = 4 (the answer is 4)

we use this for the equation:

x = 4 +3*4
x = 16

John is 16 years old and Mike is 4 years old :)

6 0

3 years ago

A baseball player has made 32 free throws in 45 attempts for current success rate of 71%. How many consecutive free throws must

s344n2d4d5 [400]

Answer: The player need to make 2 consecutive free throws to raise the average to 75%.

Step-by-step explanation:

Let the number of extra consecutive free throws to raise the average to 75% be 'x'.

Number of free throws already taken = 32

Number of attempts = 45

According to question, it becomes,

$\dfrac{32+x}{45}=0.75\\32+x=45\times 0.75\\\\32+x=33.75\\\\x=33.75-32\\\\x=1.75$

Hence, the player need to make 2 consecutive free throws to raise the average to 75%.

6 0

3 years ago

For question 3, use the Pythagorean Theorem.

Juliette [100K]

Step-by-step explanation:

can't really use the Pythagorean because you don't know this is a right triangle.

use the fact that they are similar

3/6 = x/12 where x is FE

cross multiply

6x = 36 therefore FE = 6

then 6/12 = y/9 where y is FD

cross multiply

12y = 54 = 54/12 therefore FD = 4.5

3 0

3 years ago