Answer:
140 coins total
Step-by-step explanation:
Straightforward, this reads "7 is 5% of how many?". Algebraically, the word "is" means an equals sign, and the word "of" means you multiply. Of course, the 5% needs to be in decimal form. Taking the sentence above, algebraically it is: 7 = .05x. Divide by .05 on both sides to get x = 140
Answer:
y = - 3x² - 24x - 60
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 4, - 12 ), thus
y = a(x + 4)² - 12
To calculate a substitute (- 7, - 39) into the equation
- 39 = a(- 7 + 4)² - 12 ( add 12 to both sides )
- 27 = 9a ( divide both sides by 9 )
- 3 = a
y = - 3(x + 4)² - 12 ← in vertex form
Expand (x + 4)²
y = - 3(x² + 8x + 16) - 12
= - 3x² - 24x - 48 - 12
y = - 3x² - 24x - 60 ← in standard form
= - 3(x²
Answer:
3:4:7
Step-by-step explanation:
2/7 is apple juice
1/2 is orange juice
2/7 + 1/2=4/14+7/14=11/14
14/14 - 11/14=3/14
3/14 is cranberry juice
4/14 is apple juice
7/14 is orange juice
the ratio is 3/14 to 4/14 to 7/14
the ratio simplified is 3:4:7
Answer:
tangent (angle) or tan (angle)
Step-by-step explanation:
tangent (angle) = the leg opposite the angle / the leg adjacent to the angle
Step-by-step explanation:
Solving like terms
-4x - 7x - 2y -8y
-11x - 10y
