Answer:
18 numbers between 650 and 780 leave remainders of 4 when divided by 7.
12 numbers between 650 and 780 leave remainders of 6 when divided by 11.
Step-by-step explanation:
1. Number 655 is the smallest number that leaves the remainder of 4 when divided by 7. Number 774 is the greatest number that leaves the remainder of 4 when divided by 7. So,
2. Number 655 is the smallest number that leaves the remainder of 6 when divided by 11. Number 776 is the greatest number that leaves the remainder of 6 when divided by 11. So,
Answer:
b
Step-by-step explanation:
i took the test
Let's make the length L and the width w. So, here's what we know:
L = 2w + 10
Lw = 1500
Substitute L in as 2w + 10:
w(2w + 10) = 1500.
Simplify.
2w squared +10w = 1500
Make it a quadratic equation, w = 25 or -30. Since it can't be negative, w = 25.
1500/25 = 60.
Length = 60
Width = 25
Answer:
- C for question 1
- A for question 2
Step-by-step explanation:
First Question
What you need to do here is pick an answer that will result in a decrease. If you have something like 1.3 * e ^ (0.038 * t), what will happen when t = 20
P = 1.3 * e^(0.038*20) = 1.3*e^0.76 = 2.77 which is getting bigger not smaller.
So what you want is something like 1.3 * e^-0.76 = 0.67
So which question is configured that way?
It's either C or D. but which one? It cannot be D. 0.38 is far too big: it does not represent 3.8%
C does represent 3.8% as a decimal. It is the correct answer.
Answer: C
Second Question
Every time she sells a ticket, the total that she gets is 4 more than what she had before.
The variation is a direct one. It is y = k*x. But what is k? Is it 4 or is it 1/4?
Read the first sentence above. She gets 4 dollars more, not 1/4 of a dollar.
C and D are both wrong because those equations think she is getting 1/4 more.
B is wrong because it says that the relationship is inverse. It is not. It is direct.
The answer is A
