Answer:
Taco supreme is 1230 calories
Pan pizza is 1310 calories
Step-by-step explanation:
Let's denote taco supreme as T and pan pizza az P. We have:
T+2*P = 3850 and 2*T + P = 3770
If we add the equations we get 3*T+3*P = 7620
3*(T+P) = 7620
T+P = 2540 => we can use T=2540-P
Back to one of the first equations we get 2540-P+2*P=3850
P=3850-2540= 1310
=>T= 2540-1310= 1230
X= number of dimes
x+6= number of quarters
5(x+6)= number of nickels
$5.40= 540 cents
Add the number of each coin and set it equal to the total in cents.
x + (x + 6) + 5(x + 6)= $5.40
multiply 5 by parentheses; change dollar total to cents
x + (x + 6) + (5 * x) + (5 * 6)= 540
x + (x + 6) + 5x + 30= 540
combine like terms
7x + 36= 540
subtract 36 from both sides
7x= 504
divide both sides by 7
x= 72 dimes
x + 6= 78 quarters
5(x + 6)= 390 nickels
CHECK
72 + 78 + 390= 540
540= 540
ANSWER: There are 72 dimes, 78 quarters and 390 nickels.
Hope this helps! :)
For this case we must factor the following expression:

Rewriting the expression:

We factor using the formula of the square difference:

Where:

So:

From the second term we have:

Finally, the factored expression is:

Answer:

Answer:
3/4
Step-by-step explanation:
I drew a slope triangle and found the slope by finding the distance between two points on the line.

Hope this helped!
Answer:
30° = m∠GFH
Step-by-step explanation:
Since ∠EFH and ∠GFH are complementary, the sum of their measures i 90.
Let x = m∠GFH
2x = m∠EFH
m∠GFH + m∠EFH = 90
x + 2x = 90
3x = 90
x = 30° = m∠GFH