Answer:
10 quarters, 23 dimes
Step-by-step explanation:
Make dimes = d and quarters = q. Let the number of dimes and quarters add up to 33 and the value of the dimes and quarters add up to 4.80. The system of equations should look like:
- d + q = 33
- 0.10d + 0.25q = 4.80
Solve for d in the first equation. Subtract q from both sides.
d = 33 - q
Substitute d into the second equation.
0.10(33 - q) + 0.25q = 4.80
Distribute 0.10 inside the parentheses.
3.3 - 0.10q + 0.25q = 4.80
Combine like terms.
3.3 + 0.15q = 4.80
Subtract 3.3 from both sides.
0.15q = 1.5
Divide both sides by 0.15.
q = 10
Substitute this value of q into where we solved for d (d = 33 - q).
d = 33 - (10)
d = 23
Answer:
<em>D = 41</em>
Step-by-step explanation:
y = ax² + bx + c
The discriminant D = b² - 4ac tells the types of roots the equation has.
If D < 0 , then quadratic equation has no real roots, has two imaginary roots.
If D = 0 , then quadratic equation has one real root.
If D > 0 , then quadratic equation has two distinct real roots.
~~~~~~~~~~~~
x² + 5x - 4
a = 1, b = 5, c = - 4
<em>D </em>= 5² - 4(1)(- 4) = 25 + 16 =<em> 41</em>
Answer:
55°
Step-by-step explanation:
Assuming you are looking for the angles and not the length of the sides, the remaining angle is 55°. All 3 angles have to equal 180°.
A+B+C=180
A+75+50=180
Subtract 75 and 50 from 180 to get:
A=55
