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zepelin [54]
3 years ago
13

Mattie Evans drove 150 miles in the same amount of time that it took a turbopropeller plane to travel 600 miles. The speed of th

e plane was 150 mph faster than the speed of the car. Find the speed of the plane.
Mathematics
1 answer:
lianna [129]3 years ago
7 0
The speed of the plane is 200 mph.

We start out with the formula d=rt, where d is distance, r is rate (speed) and t is time.  We know the time is the same for both vehicles, so we will solve this formula for t:

d=rt

Divide both sides by r:
d/r = t

Since the time is the same, we will have a proportion in the form

d/r = d/r

The speed of the car is x, and it travels 150 miles.  The speed of the plane is 150 faster than x, or x+150, and it travels 600 miles:

150/x = 600/(x+150)

Cross multiplying we have:
150(x+150) = 600*x
150x + 22500 = 600x

Subtract 150x from both sides:
150x + 22500 - 150x = 600x - 150x
22500 = 450x

Divide both sides by 450:
22500/450 = 450x/450
50 = x

The speed of the car is 50, and the speed of the plane is 50+150 = 200
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Answer: 2(x-2)(3x-8)

7 0
3 years ago
The equation y ̂=844.697x^2+3723.485x-13,650 models the annual profits of a new business, where x is the number of years since t
julsineya [31]
The answer is $37,923

<span>y = 844.697x^2 + 3723.485x - 13,650
x - number of years
y - the annual profit

If x = 8, the annual profit y is:
y = </span>844.697 * 8^2 + 3723.485 * 8 - 13,650
y = 844.697 * 64 + 29,787.88 - 13,650
y = 54,060.608 + 16,137.88
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5 0
3 years ago
Please I need help asap
jasenka [17]

Answer:

Option D - x = 3 3/5

Step-by-step explanation:

Lets make the left side into an improper fraction :

2 2/5 = 12/5

Now let's make both fraction into equivalent ones but with the same denominator :

2/3 = 10/15

12/5 = 36/15

Now we substitute the equivalent values back into the equation :

10/15 × x = 36/15

Now we multiply both sides by 15 to remove the denominators:

10 × x = 36

Now we divide both sides by 10 and simplify :

x = 36/10

x = 18/5

x = 3 3/5

So our answer will be Option D  

Hope this helped and brainliest please

7 0
1 year ago
​Solve for x. 5x−2(x+1)=1/4 ​ <br><br> Enter your answer as a fraction in simplest form.
kondaur [170]

Answer:

x=  3/4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5x−2(x+1)= 1 /4

5x+(−2)(x)+(−2)(1)= 1 /4

(Distribute)

5x+−2x+−2= 1 /4

(5x+−2x)+(−2)= 1 /4

(Combine Like Terms)

3x+−2= 1 /4

3x−2=1 /4

Step 2: Add 2 to both sides.

3x−2+2= 1 /4 +2

3x= 9 /4

Step 3: Divide both sides by 3.

3x/ 3 = 9 /4 /3

x= 3 /4

6 0
3 years ago
Read 2 more answers
Question 4(Multiple Choice Worth 1 points) (07.04 LC) Factor completely 49x2 − 9. (7x + 3)(7x − 3) (7x + 3)(x − 3) (7x − 3)(7x −
scoundrel [369]

Answer:

A

Step-by-step explanation:

We take a look at this expression: 49x^2-9 and notice that both terms are square numbers. 49x^2=(7x)^2 and 9=3^2.

There is a specific formula that I highly recommend you memorize involving differences of squares. It states that given the difference of squares a^2-b^2, it can always be factored into (a+b)(a-b).

Here, we can apply that. In this case, a = 7x and b = 3. So:

49x^2-9=(7x)^2-3^2=(7x+3)(7x-3)

Thus, the answer is A.

Hope this helps!

6 0
3 years ago
Read 2 more answers
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