Answer: Option 'c' is correct.
Step-by-step explanation:
Let the number of dimes be 'x'.
Let the number of nickels be '
'.
Let the number of pennies be 
Let the number of quarters be '3x-34'.
As we know that
1 quarter = $0.25
1 dime = $0.10
1 nickel = $0.05
1 penny = $0.01
According to question, we get that
So, the number of pennies is given by
Hence, Option 'c' is correct.
Answer:
C
Step-by-step explanation:
The first equation has to be the ratio of raisins to sunflower seeds. If r is raisins and p is sunflower seeds and there are 3 times as many raisins as sunflower seeds then the first equation must be 3r=p
The second equation should model the prices properly. Raisins are 1.5 per pound and sunflower seeds are 4 per pound, because of this we should have 1.5r (r being each pound of raisins) and 4p (p being each pound of sunflower seeds). From this we know the second equation must be 4p+1.5r=34
We first calculate Pablo's height .
4 = 100%
x = 1% (Where x is 1% of Sandra's height.)
cross multiplying the equation, we get:
100x = 4 → x = 4/100 → x = 0.04
If 1% = 0.04, then 10% will be 0.04 × 10 = 0.4
Pablo's height is 4 + 0.4 = 4.4 feet.
Now we repeat the above steps to get Michal's height from Pablo's height
4.4 = 100%
x = 1% so:
100x = 4.4 → x = 4.4/ 100 → x = 0.044
If 1% = 0.044, then 8% will be 0.044 × 8 = 0.35
Michael's height is 4.4 + 0.35 = 4.75 feet.
Circle = (x-h)^2 + (y-k)^2 = r^2
Center is (h,k) h = -5, k = 2
Radius is 4, r = 4
(x - -5)^2 + (y - 2)^2 = 4^2
(x + 5)^2 + (y - 2)^2 = 16
Answer:
(fog)(-3) = 125
Step-by-step explanation:
So, we need to first evaluate g(-3) and then plug the value of g(-3) into f(x) to find (fog)(-3). So, let's do that:
Thus, (fog)(-3) = 125.
