Answer:
The answer is x=3(y-2/3)
Step-by-step explanation:
Just took the quiz
Answer:
c. 4
Step-by-step explanation:
tan (30)/1 = x/7 *cross multiply*
x = 7 (tan(30))
x = 4.04
x = 4
Answer:
Some of the 50 students should have been assigned to a control group that used the in-person course
Step-by-step explanation:
Answer:
6. No. See explanation below.
7. 18 months
8. 16
Step-by-step explanation:
6. To rewrite a sum of two numbers using the distributive property, the two numbers must have a common factor greater than 1.
Let's find the GCF of 85 and 99:
85 = 5 * 17
99 = 3^2 + 11
5, 3, 11, and 17 are prime numbers. 85 and 99 have no prime factors in common. The GCF of 85 and 99 is 1, so the distributive property cannot be used on the sum 85 + 99.
Answer: No because the GCF of 85 and 99 is 1.
7.
We can solve this problem with the lest common multiple. We need to find a number of a month that is a multiple of both 6 and 9.
6 = 2 * 3
9 = 3^2
LCM = 2 * 3^2 = 2 * 9 = 18
Answer: 18 months
We can also answer this problem with a chart. We write the month number and whether they are home or on a trip. Then we look for the first month in which both are on a trip.
Month Charlie Dasha
1 home home
2 home home
3 home home
4 home home
5 home home
6 trip home
7 home home
8 home home
9 home trip
10 home home
11 home home
12 trip home
13 home home
14 home home
15 home home
16 home home
17 home home
18 trip trip
Answer: 18 months
8.
First, we find the prime factorizations of 96 an 80.
96 = 2^5 * 3
80 = 2^4 *5
GCF = 2^4 = 16
Answer: 16
We can solve this system using elimination:
(x+y=24)3
3x+5y=100
3x+3y=72
-(3x+5y=100)
0x-2y=-28
y=14
We can then plug this back into one of the original equations:
x+14=24
x=10
We can check our answer by plugging this into both of the original equations:
10+14=24
24=24
3(10) + 5(14)=100
30+70=100
100=100
Therefore, there are 10 3-point questions and 14 5-point questions.
