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3 years ago

I need help with this please and thank you!

Mathematics

1 answer:

Vlad [161]3 years ago

6 0

Answer: 2x^2 -16t

25t -20

Step-by-step explanation:

Multiply the corresponding terms to find out which answer belongs in each box. For the top left box you would multiply 5t x 4t = 20t^2. For the top right multiply -4 x 4t = -16t. For bottom left box multiply 5t x 5 = 25t and for the bottom right box multiple -4 x 5 = -20.

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A parking garage charges a 3.50$ base fee plus an hourly rate of 7.00$. If you have at most 21.50$ to pay for parking, how long

pentagon [3]

Answer:

You get a total of two hours of parking.

Step-by-step explanation:

First, you subtract the base fee of $3.50, which gives you $18.00. Then you subtract as many sevens there are in 18, which is two. And then your answer is shown, as two. Hope this helps!

3 0

3 years ago

You and your family are planning a roadtrip. You determine that the distance you need to drive is 660 miles and that you can ave

iris [78.8K]

Answer:

11 hours

Step-by-step explanation:

Find how many hours the trip will take by dividing the number of miles by the rate in miles per hour:

660/60

= 11

So, the trip will take 11 hours

8 0

3 years ago

Donna picked 448 ounces of apples to make apple cider. How many pounds of apples did she pick

Aleksandr-060686 [28]

Answer:

28 pounds

Step-by-step explanation:

448 ounces = 28 pounds

8 0

3 years ago

Read 2 more answers

The manager of a theater noted that for every 10 admission tickets sold, the theater sells 3 bags of popcorn at $2.25 each, 4 so

Shalnov [3]

Answer:

$1.475 is the average amount of snack sales per ticket sold.

Step-by-step explanation:

We are given the following in the question:

Number of popcorn bags sold = 3

Cost of a popcorn bag = $2.25

Total cost of popcorn bag = $2.25\times 3$ = $6.75

Number of soda sold = 4

Cost of a soda = $1.50

Total cost of soda = $1.50\times 4$ = $6.00

Number of candy bars sold = 2

Cost of a candy bar = $1.00

Total cost of candy bars = $1.00\times 2$ = $2.00

Total sales =

Total cost of popcorn + Total cost of soda + Total cost of candy bar

$= 6.75 + 6 + 2\\=\$14.75$

$\text{Average} = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

Average amount of snack sales per ticket sold =

$\dfrac{\text{Total sales}}{\text{Number of tickets}} = \dfrac{14.75}{10} = 1.475$

Thus, $1.475 is the average amount of snack sales per ticket sold.

5 0

3 years ago

3 The The curve y=ax² +bac + 5 where a and b are constants has a turning point p (1,3). find the values of a and b and determine

yulyashka [42]

Answer:

a = 2, b = -2

P is at a minimum

Step-by-step explanation:

For any polynomial function, the turning point is either a maximum or a minimum

It can be determined by taking the first derivative of the function and setting it equal to 0 and solving for x and y

In this case we are given the turning point as x=1, y = 3 and we have to calculate a and b in the equation y = ax² + (ab)x + 5

The first derivative of y, y' = 2ax + ab

If we set this equal to 0 we get 2ax + ab = 0 ==> 2ax = -ab ==> b = -2

So the equation is of the form y = ax² -2ax + 5 (subbing for b)

Since we know that at x = 1, y =3 substitute y and x values in the above equation and solve for a

y = 3 = a(1²) - 2a(1) + 5

a - 2a + 5 = 3

-a + 5 = 3

a = 2

So the equation is of the form y = 2x² -4x + 5

If we plot this we will find that P is a minimum point

However, we can always determine mathematically if P is a max or min by taking the second derivative of the original function and noting the sign. If it is positive, the point is a minimum, and if it is negative, the point is a maximum.

Taking derivatives,

y' = 4x - 4

y'' = (4x-4)' = 4

The sign is positive so P is a minimum

Graph attached for reference

3 0

1 year ago