Answer
7. 30
8. 54
Step-by-step explanation:
For 7 do 2x+3x=90 because it is a right angle
then solve for x and get 15
to get the angle you are looking for multiply 2 by 15
and get the answer 30
For 8 to find the value of x you would need to...
add (4x+6) + (11x-6)= 180 because 180 is a straight angle.
Then simply solve for x and get 15x=180 which equals 12
The to get the angle you plug it in to (4x+6) and get the answer 54
Answer:
Alex's rock
Step-by-step explanation:
Marianne's distance: 15 inches 4 times = 15 * 4 = 60 inches
we can convert Marianne's distance to feet so we can easily compare it to Alex's
12 inches = 1 foot
1 foot/12 inches = 1. We divide by inches and not feet so that the inches cancel out, as can be seen in the calculations below.
60 inches * 1 = 60 inches * 1 foot/12 inches = 5 feet
7 feet > 5 feet
Alex's rock skipped the furthest
Answer:
a: 0.08, or 8% chance he wins all 3
b: 0.42, or 42% chance he wins 2
Step-by-step explanation:
P(win A) = 0.8
P(lose A) = 0.2
P(win B) = 0.5
P(lose B) = 0.5
P(win C) = 0.2
P(lose C) = 0.8
The situations are independent, so we multiply probabilities together.
To win all 3: P(win A)*P(win B)*P(win C) = 0.8*0.5*.02 = 0.08
To win 2 of the 3 there are 3 ways to do this. We add up the probabilities of the 3 situations...
P(win A)*P(win B)*(lose C) = 0.8*0.5*0.8 = 0.32
P(win A)*P(lose B)*P(win C) = 0.8*0.5*0.2 = 0.08
P(lose A)*P(win B)*P(win C) = 0.2*0.5*.02 = 0.02
0.32 + 0.08 + 0.02 = 0.42
Answer:
x=66
Step-by-step explanation:
35-13=22
22*3=66
x=66
First, we need to make a function out of the table. This function will be in slope-intercept form. The function is y = 30x so in 11 minutes Machine J will make 330 candies. In 11 minutes Machine K will make 286. subtract 286 from 330 to get 44. Machine J will make 44 more candies than machine K in 11 minutes.