I: 635=dimes*10+quarters*25
or shorter
635=d*10+q*25
II: d=q*3+3
Substitute II (d=3q+3) into I to replace d:
635=d*10+q*25
635=(3q+3)*10+q*25
635=30+30q+25q
605=55q
11=q
-> 11 quarters
"What expression represents the number of dimes if q represent quarters"
insert q=11 into II:
II: d=q*3+3
d=11*3+3
d=33+3
d=36
Answer:
3
Step-by-step explanation:
Since it's at the same time of the day, the ratio between the height of the person and the shadow they cast will stay the same. So the man's height to shadow ratio is 6:8 = 3:4. The son's height to shadow ratio would be the same so x:4 = 3:4 therefore his height is 3 feet.
Answer:
x = - 4, x = - 3
Step-by-step explanation:
To find the zeros equate f(x) to zero, that is
x² + 7x + 12 = 0
To factorise the quadratic
Consider the factors of the constant term (+ 12) which sum to give the coefficient of the x- term (+ 7)
The factors are + 4 and + 3, since
4 × 3 = 12 and 4 + 3 = 7, hence
(x + 4)(x + 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x + 3 = 0 ⇒ x = - 3
Math is important to calculate things in our daily lives such as times at the grocery store, work, or a project around the house
The ordered pair (-6,-9) will be located in quadrant IV.
