<span>"ratio of princesses to celebrities is 3:1"
The are 3 more times princesses as celebrities.
</span>"<span>The ratio of superheros to princesses is 5:4"
For each 4 princesses, there are 5 superheroes.
For 1 celebrity, there are 3 pincesses.
For 4 celebrities, there are 12 princesses.
For 12 princesses, there are 15 superheroes.
The ratio of celebrities to princesses to superheroes is
4:12:15 or 4x:12x:15x
Add them: 4x + 12x + 15x = 31x
31x = 93
x = 93/31 = 3
Celebrities: 4x = 4(3) = 12
Princesses: 12x = 12(3) = 36
Superheroes: 15x = 15(3) = 45
</span>
Answer:
x = ± 4
y = - 2
Step-by-step explanation:
y = 0.5x² - 10 ------------------------(I)
y = -x² + 14 ------------------------(II)
Substitute the y value in equation (II)
0.5x² - 10 = -x² + 14 {Add x² to both sides}
0.5x² + x² -10 = 14 {combine like terms}
1.5x² - 10 = 14 {Add 10 to both sides}
1.5x² = 14 + 10
1.5x² = 24 {Divide both sides by 1.5}
1.5x²/1.5 = 24/1.5
x² = 16
x = ±4
Substitute x = 4 in (I)
y = 0.5 * 4² - 10
= 0.5*16 - 10
= 8- 10
y = -2
Substitute x = -4 in (I)
y = 0.5 * (-4)² - 10
= 0.5*16 - 10
= 8- 10
y = -2
Answer:
Step-by-step explanation:
<u><em>The complete options are</em></u>
a) x - 2y = 30
b) 4x - 3y = 30
c) 3x - 4y = 30
d) 6x - 6y = 30
The given equation is
<u>Verify option d</u>
we have
Divide by 6 both sides
therefore
and are equivalent
Six million seven thousand two hundred
