Answer:
The number of <u>dimes are 100</u> and number of <u>quarters are 140.</u>
Step-by-step explanation:
Let the number of dimes be 'd' and quarters be 'q'.
Given:
The sum of amount is $45.
The total number of coins are 240.
1 dime = $0.10
∴ 'd' dimes = 
1 quarter = $0.25
∴ 'q' quarters = 
Now, as per question:

Multiplying equation (1) by -0.1 and adding the result to equation (2), we get:

Therefore, the number of dimes are 100 and number of quarters are 140.

x = 1040/43 = $24.19 per day.
y = 10/43 = $0.23 per mile.
The value of h(t) when
is 10.02.
Solution:
Given function 
To find the value of h(t) when
:

Substitute
in the given function.


Now multiply the common terms into inside the bracket.

Now, in the first term, the numerator and denominator both have common factor 16. So reduce the first term into the lowest term.

To make the denominator same, take LCM of the denominators.
LCM of 64 and 32 = 64




= 10.02

Hence the value of h(t) when
is 10.02.
2x+8 is equivalent to 4x+3-2x+5
Step-by-step explanation:
4x+3-2x+5
4x+2x+3+5
2x+8
ANSWER
The vertical asymptotes are

<u>EXPLANATION</u>
We have

For vertical asymptotes we set the denominator to zero and solve the quadratic equation;


We split the middle term to obtain,




Therefore the vertical asymptotes are
