Answer:
11 dimes, 17 nickels
Step-by-step explanation:
d + n = 28, put one variable by itself on a side, d = 28 - n
.10d + .05n = 1.95
Sub the first equation into the second
.10(28 - n) + .05n = 1.95
2.8 - .10n + .05n = 1.95
2.8 - .05n = 1.95
-.05n = -0.85
n = 17 nickels
d + 17 = 28
d = 11 11 dimes
Answer:
x cannot be -4,-3, or 13
x can be anything else
Step-by-step explanation:
There are infinitely many values x can take where the relation above will be a function.
For it to be a function, you just need to make sure each x is only assigned one y value.
So x couldn't be -4 because it would by assigned to y=2 and y=0.
x couldn't be -3 because it would be assigned to y=1 and y=0.
x couldn't be 13 because it would be assigned to y=5 and y=0.
So as long as x is not chosen to be -4,-3, or 13 your relation here is a function.
Answer:
x = -1
Step-by-step explanation:
When an exponent is negative, you have to move it to the denominator (or to the numerator if it's already on the denominator). Since the answer is 
, you know that the 2 has been raised to the power of 1 (any number to the power of 1 is the same number), so you just make it negative. Hope that helps!
Answer:
a) 60 graduates
b) Business and social science.
Step-by-step explanation:
In United States, from 2009 to 2010 the Bachelor's Degrees graduates are made up of 22% for business, 10% for social science, 8% is health related, 6% is education and 54% is others. Given that a sample of 1000 college graduates where used,
a) Number of graduates with education degree is equal to 6% of the total college graduates. Therefore:
Number of graduates with education degree = 6% × 1000 = 0.06 × 1000 = 60 graduates
b) Number of graduates with business degree = 22% × 1000 = 0.22 × 1000 = 220 graduates
Number of graduates with social science degree = 10% × 1000 = 0.1 × 1000 = 100 graduates
Number of graduates with health related degree = 8% × 1000 = 0.08 × 1000 = 80 graduates
Number of graduates with other degree = 54% × 1000 = 0.54 × 1000 = 540 graduates
Since Many graduates earn degrees in fields that result in high-paying jobs, the two fields most likely pay more than the others are that of business and social science.
An = a1 + (n-1)d
an = 27 + (n-1)(-6)
