Answer:
Number of trucks = 24
Number of SUVs = 24
Step-by-step explanation:
A)
The ratio of cars to trucks is 9:4
The total ratio of cars to trucks is
9+4 = 13
Let x = sum of cars and trucks.
There are 54 cars. Therefore,
x = 54 + t trucks
Number of cars = ratio of cars/ total ratio × sum of cars and trucks. This means,
54 = 9/13 × x
9x / 13 = 54
9x = 13 × 54
9x = 702
x = 702 / 9 = 78
x = 54 + t trucks = number of trucks = 78 = 54 + t trucks
t trucks = 78 - 54 = 24
Number of trucks = 24
B)
The ratio of trucks to SUVs is 12:21
The total ratio of cars to trucks is
12 + 21 = 33
Let y = sum of trucks and SUVs
There are 24 trucks. Therefore,
x = 24 + s SUVs
Number of trucks = ratio of trucks / total ratio × sum of trucks and SUVs. This means,
24 = 12 / 33 × y
12y / 33 = 24
12y = 24 × 33
12y = 792
y = 792 / 12 = 66
y = 24 + s SUVs
66 = 24 + s SUVs
s SUVs = 66 - 24 = 42
Number of SUVs = 24
The equation would be: V = A2^(Y/3)
The basic form of an exponential equation is y = ab^x.
The a is the starting amount. In this problem, we don't know that, so we just leave it as a.
The b is the rate. In this case, we are doubling the volume so we times it by 2.
The x is the amount of years. Since it is every 3 years, we can divide the x by 3.
I am just guessing but you might try A
<h2>
Answer: slope = - 95</h2><h2>
</h2>
Step-by-step explanation:
The question gives us two points, (87, 91) and (88, -4), from which we can find the slope and later the equation of the line.
<u>
</u>
<u>Finding the Slope</u>
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= (91 - (- 4)) ÷ (87 - 88)
= - 95
<em><u /></em>
<em><u /></em>
<em><u>Checking my answer:</u></em>
<em>Finding the Equation</em>
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - (-4) = - 95 (x - 88)
y + 4 = - 95 (x - 88)
<em>To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.</em>
Answer:

Step-by-step explanation:
For that transformation you just have to use polar coordinates, notice that when you use polar coordinates the radius is constant when the angles varies and the angle is constant when the radius varies. Therefore your transformation would be just
.