Answer:
143.70 = 3(39.95) + x
where x is the additional fee spent to race the cars at the park
Step-by-step explanation:
Let’s write the complete question first before we solve;
Blake and two of her friends are going to an amusement park. The cost of admission to the park is $39.95 per person. Once they are in the park, Blake and her friends ride the race cars, which require an additional fee. The total amount spent by all three boys is $143.70. Write an equation that can be used to find the additional fee to ride the race cars.
solution;
we are trying to write an equation that could help determine the additional fee used to race cars at an amusement park by a group of friends.
we proceed as follows;
We identify that they are 3, with each spending an amount equal to $39.95 for admission.
now to find the additional fee, we simply multiply the admission fee by 3 and subtract from the total amount spent.
let’s say the additional fee is x
This means;
143.70 = 3(39.95) + x
To get x, we can then open the bracket then take the value to the other side to get x
Answer:
6/5 or 1.2, they're the same value
Step-by-step explanation:
When it says "rate of change", it's really just asking for the slope. If you don't know what the slope is, essentially how much the y-value increases by whenever x increases by 1. This can be formally defined using the equation: 
which is essentially 
. The subtraction is finding the difference between the two numbers to see how much it's changed by. Btw the order doesn't matter, I could plug in (-3, -2) as (x2, y2) or I could plug it in as (x1, y1) as long as I make sure to input it in correctly. In this example I'll just say (-3, -2) = (x1, y1) and (2, 4) = (x2, y2). Plugging these values into the equation gives you: 
that's the rate of change
Answer:
x = 13
Step-by-step explanation:
ur welcome
Answer:
19.4 feet
Step-by-step explanation:
Since the triangle has a right angle( as one of the angles in it is equal to 90°), we may find the length of the unknown side using the trigonometric notations SOH CAH TOA where
SOA stands for
Sin Ф = opposite side/hypotenuses side
Cosine Ф = adjacent side/hypotenuses side
Tangent Ф = opposite side/adjacent side
Given that the measure of ∠G=90° and ∠E=40°
EF is the hypotenuse side
FG is the opposite side and
GE is the adjacent side. As such if EF = 75 feet
Cos 75 = GE/75
GE = 75 Cos 75°
= 19.41 feet
≈ 19.4 feet in the nearest tenth of a foot
