Answer:
Step-by-step explanation:
10x + 25y = 370
y = x + 5
10x+25(x+5)=370
10x+25x+125=370
35x=370-125
x=245/35
x=7 which is the number of dimes
x+7= 7+5= 12 which is the number of quarters
So you have 12 quarters. That means you have 7 dimes.
Answer:
2
Step-by-step explanation:
9(x+1)=25+x
9x+9=25+x
9x-x=25-9
8x=16
x=16/8
x=2
We would need a sample size of 560.
We first calculate the z-score associated. with this level of confidence:
Convert 95% to a decimal: 95% = 95/100 = 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1-0.025 = 0.975
Using a z-table (http://www.z-table.com) we see that this is associated with a z-score of 1.96.
The margin of error, ME, is given by:

We want ME to be 4%; 4% = 4/100 = 0.04. Substituting this into our equation, as well as our proportion and z-score,
< means 'less than'. 3.5 is less than 4.5, so A is correct. Since -4.5 is NEGATIVE it is less than 0. As for C, since both numbers are negative, it would be the seemingly 'smaller' number that is actually bigger. It may help to think of the numbers on a number line. In the negatives, the numbers start to go in reverse, so the further from 0 a negative number is, the smaller it is. -4.5 IS LESS than -3.5. All answers are correct.
Answer:
66.69
Step-by-step explanation:
You start off with -3.9 x -5.7 which gives you a positive, and that positive is 22.23, then you multiply that number by 3, and you get 66.69.