Which expression is equivalent to 5x + 4 - x - 2a. 4x + 2
b. 4 + 4x
c. 4x
d. 4x + 6

Answers

Answer 1

Answer: A: 4x+2 , this is the answer because 5x+4-x-2 = 4x+2 = bring all the way down,
+2 +2
7 * 0 = 0

= nothings left but
4x + 2

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A circular oil spill continues to increase in size. The radius of the oil spill, in miles, is given by the function r(t) = 0.5 + 2t, where t is the time in hours. The area of the circular region is given by the function A(r) = πr2, where r is the radius of the circle at time t.Explain how to write a composite function to find the area of the region at time t.

Answers

Answer:

The area at time t is given by $A(t) =\pi (4t^2+2t+0.25).$

Step-by-step explanation:

We know the radius $r(t)$ of the oil spill as a function of time, and we know the area $A(r)$ as a function of radius, and we want the area at time t. In other words we are looking for area as a function of time $A(t)$

We find $A(t)$ by putting $r(t)$ into $A(r)$ as a substitute to r:

$A(t) = A(r(t))= \pi r(t)^2 =\pi (0.5 + 2t)^2={\pi (4t^2+2t+0.25).}$

$\boxed{A(t) =\pi (4t^2+2t+0.25).}$

Which is our answer.

Final answer:

To find the composite function for the area of the oil spill over time, replace 'r' in A(r) = πr2 with the function r(t). The function becomes A(t) = π(0.5 + 2t)2.

Explanation:

In order to find the function that represents the area of the oil spill over time, we need to write a composite function. This means we plug the function r(t) into A(r). Since r(t) = 0.5 + 2t, you can replace every instance of 'r' in A(r) = πr2 with (0.5 + 2t) to get the area as a function of time 't'. So, the composite function becomes A(t) = π(0.5 + 2t)2. Now we have a composite function that represents the area of the oil spill, denoted by A(t), as a function of time. The function is: A(t) = π(0.5 + 2t)2.

Learn more about Composite Functions here:

brainly.com/question/30143914

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The ratio of adults to children at a picnic is 4 to 5. The total number of people at the picnic is 27. How many adults and children are at the picnic? Include steps.

Answers

There are 12 children and 15 adults at the picnic.

Add together the ratios 4 and 5 and divide the amount of people by that number (so 27 divided by 9)

You then get 3. So then multiply both sides of your ratio by 3. (4:5 ----> 12:15)

Hope this helps a little.

Neil has a total of twelve $5 and $10 bills in his wallet. He has 5 times as many $10 bills as $5 dollar bills. How many of each does he have?

Answers

There are two $5 bills and ten $10 bills in Neil's wallet and this can be determined by forming the linear equation in two variables.

Given :

Neil has a total of twelve $5 and $10 bills in his wallet.
Neil has 5 times as many $10 bills as $5 dollar bills.

Let the total number of $5 bills be 'a' and the total number of $10 bills be 'b'. Then the total number of bills will be:

$a+b = 12$ --- (1)

It is given that Neil has 5 times as many $10 bills as $5 dollar bills, that is:

$5a = b$ ---- (2)

Now, substitute the value of 'b' in equation (1).

a + 5a = 12

6a = 12

a = 2

Now, put the value of 'a' in equation (2).

$5* 2 = b$

b = 10

There are two $5 bills and ten $10 bills in Neil's wallet.

For more information, refer to the link given below:

brainly.com/question/13738061

2 5 dollar bills
10 10 dollar bills

ammount of 5 dollar bills= x
amount of 10 dollar bills = y
5x=y
x+y=12

x+5x=12

6x=12

x=2

12-x=y

12-2=y

10=y

Solve for x

8x-15=17

Answers

8x-15=17 now to get rid of the 15 simply add 15 to each sides like so

8x-15=17
+15|+15
0 | 32
then bring down 8x and 32, then you have to divide 8 on both sides to get rid of 8 and have x and divide 8 and 32 and then you get x

$(8x)/(-8)$ | $(32)/(8)$

x = 4

Please help!!!!!!!!!!!!.

Answers

Answer:

The answer is D. You divide the shape into 3 rectangles.

Step-by-step explanation:

Find the area of the composite figure. PLEASE HELP. SORRY BUT ENGLISH ONLY.

Answers

looks like a regular hexagon

see my attachment

we put some imaginary lines and take the 2 trignles on the right and put them on teh left side
now we have a rectangle wit height 8 and width 2+4 or 6
area=8*6=48 cm^2

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