Answer:
2/6
Step-by-step explanation:
There are 6 numbers on a regular die, and only 2 numbers that are greater than four that you could get, so the probability of getting a number greater then 4 would be 2/6
Answer:
No the pay rates are not equivalent.
Step-by-step explanation:
Your pay rate per 8 hours is $56.
Your friends pay rate per 8 hours is $72.
Answer:
11: x=90 and y=10
12: x=59 and y=48
14?: x = 28, y = 20 and z = 56
15: x = 4 and y = 53
Step-by-step explanation:
11: Since two sides are parallel, you can draw a transversal (a line that crosses through both) that makes sure all angles it makes are 90 degrees. (let me know if that doesn't make sense. Now you have two trapezoids. One has angle measures 90+90+90+x=360 and the other has 90+90+77+y = 360. Doing some quick algebra gets you x=90 and y=10
12: We do the same thing, transversal throught he parallel lines to get four 90 degree angles. Now 360 = 90 + 90 + 2x + 62 makes x = 59 and 360 = 90 + 90 +3 y + 42 makes y = 48
(14? the one to the left of 15): Could do the same thing to solve for x, then we need to do something different for y and z. so first 90 + 90 + 68 + 4x = 360 so x=28. Now, since this is an isosceles trapezoid it means the two top angles are equal and the two bottom angles are equal. so 68 =3y+8 so y = 20 and 2z = 4x = 4(28) makes z = 56
for 15 we'll start with y. We will call the two equal angles a, because we need to use them. Since the top and bottom parts are parallel, 106 + a = 180 and 2y + a = 180. Use a system of equations to find a = 74 and y = 53 (You just needed y of course). since 2y=106, we know that 4x=6x-8 so then we can solve for x = 4
238 students are enrolled in the 7th grade class this year
<u>Solution: </u>
Given that
Percentage decrease in number of students enrolled in 7th grade = 15%
Number of students enrolled last year = 280
Need to determine number of students enrolled in 7th grade this year.
Lets assume number of students enrolled this year = x
<em>Percentage decrease in enrollment </em>= (Number of student enrolled last year – Number of students enrolled this year) whole divided by number of students enrolled last year multiplied by 100

Hence number of students enrolled this year = 238.
Answer: 15 kilometers per hour
Step-by-step explanation: