Answer:
Billie's age = x = 17 years
Tony's age = y = 31 years
Step-by-step explanation:
Let
Billie's age = x
Tony's age = y
Twice Billie’s age decreased by 3 is Tony’s age.
y = 2x - 3..... Equation 1
Tony is fourteen years older than Billie.
x = y - 14
We substitute y - 14 for x in Equation 1
y = 2x - 3..... Equation 1
y = 2(y - 14) - 3
y = 2y - 28 - 3
y - 2y = -28 - 3
-y = -31
y = 31 years
Solving for x
x = y - 14
x = 31 - 14
x = 17 years.
Therefore:
Billie's age = x = 17 years
Tony's age = y = 31 years
Answer:
15 cups
Step-by-step explanation:
The formula to find cups from quarts C = Q * 4, where c is how many cups, and Q how many quarts. To find how many cups are in a quart, simply multiply the number of quarts by 5. In this case, there are 3 3/4 quarts of coffee, multiply that by 5, and you would get 15 cups of coffee!
Answer:
the estimate is : 39 7/32
the answer is : 46 9/35
Answer:
<u>Part 1</u>
<u>Sideways or "horizontal" parabola</u> with a horizontal axis of symmetry.
<u>Part 2</u>
The vertex is the turning point: (-3, 1)
<u>Part 3</u>
Vertex form of a horizontal parabola:
where:
- (h, k) is the vertex
- a is some constant
If a > 0 the parabola opens to the right.
If a < 0 the parabola opens to the left.
Point on the curve: (-1, 2)
Substituting the vertex and the found point into the formula and solving for a:



<u>Part 4</u>
Equation for the given parabola in vertex form:

Equation in standard form:

Step-by-step explanation:
4m =16
divide both sides by 4
m = 4
he has 4 model trains