Solve the linear equation: x + 3 + x - 8 + x = 55

Answers

Answer 1

Answer: $x+3+x-8+x=55 \nx+x+x+3-8=55 \n3x-5=55 \n3x=55+5 \n3x=60 \nx=60 / 3 \nx=20$

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What is the prime factorization of 476?Question 8 options:

2 squared times 7 times 19

2 times 3 to the power of 5

2 squared times 7 times 17

2 squared times 3 squared times 13

Answers

476
divdie 2
2*238

238 divide 2
2*2*119
divide 7
2*2*7*17

prime factorization is
2^2 times 7 times 17

2 squeared times 7 times 17

third option

Prime or composite 52

Answers

52 is composite
prime can be divided evenly only by 1, or itself
but 52 can divided by 2,4,13, etc...
hope it helps

If it is prime, it cannot be split in 2 numbers that multiply to equal it. Look at the last number of the number to get a hint first. The last number of 52 is a 2. If you recall, any number that ends ina 2 or 0 can be divided by 2:

52
/ \
2 26
/ \
2 13

There the number is fully factored.

At a speed of 22 revolutions per minute, how long will it take a wheel of radius 10, rolling on its edge, to travel 10 feet? (Assume p equals 22/7, and express answer to nearest 0.1 second.)

Answers

I don't know if this is 100% correct...but i think this is how you would solve this problem!!!

OOOKKKKK.........

We all know that a well is circular. So, First, lets find out the circumference of the wheel.

Given :
radius = 10 feet
π = 22 / 7
We know,
Circumference = 2πr
= 2 × (22 / 7) × 10
= 62.9 ft.

Now,
One revolution means the wheel has covered a distance equal to its circumference. So, 22 revolutions per minute means that the wheel is covering 22 times its circumference in 1 minute. So, Lets convert the revolution to feet.

Given,
The wheel is travelling at 22 revolutions per minute.
= 22 * Circumference per minute
= 22 * 62.9 ft. per minute
= 1383.8 ft. per minute
Now, that we know how much feet it is travelling in 1 minute, we can easily find how much it takes it to travel 10 feet.

Using unitary method,
The wheel travels 1383.8 ft. in 1 minute
The wheel travels 1383.8 ft. in 60 seconds.
The wheel travels 1 ft. in (60 / 1383.8) seconds.
The wheel travels 10 ft. in (60 / 1383.8) * 10 seconds.
= 0.4 seconds

So, the answer is 0.4 seconds. Of course...the answer is rounded!!

Consider the division expression LaTeX: 7\frac{1}{2}\div27 1 2 ÷ 2. Select all multiplication equations that correspond to this division expression.

Answers

Answer:

2 x ? = 7 1/2 and ? x 2 = 7 1/2

Step-by-step explanation:

This is the answer because it didn't show the answer so all you have to figure out is the multiplication problem that goes with the division problem. So 2 x ? = 7 1/2 and ? x 2 = 7 1/2 you don't have to include the answer all you have to include is where the answer will do if you DID have the answer. These two are correct because the multiplication number can go in any order.

I know this might not be the best step-by-step explanation ever but I truly tried but the answer is correct.

Michael borrows money from his uncle, who is charging him simple interest using the formula I=prt. to figure out what the interest rate,r,is, Michael rearranges the formula to find r his new formula is r equals

Answers

Since the original is Interest equals price times rate times time, taking out rate still includes price times time. So, you first have R = pt. Now to insert interest, you would have to divide the interest by pt, since you invert the multiplying of Rate. So, it would be R = I/pt. Basically, this is used for finding any of the prt segment. For P, use P= I/rt. For T, use T = I/pr. And for Michael's case, to find Rate you use R = I/pt.

Answer:

$(I)/(Pt)$ = r

Step-by-step explanation:

First write down the equation they gave you:

l = Prt

You need to ask yourself what is being done to r. r in this case is being multiplied by two variable: P and t. To undo multiplication you divide, the set up for division:

$(I)/(Pt) = (Prt)/(Pt)$

I divided by the two numbers, so it would be easier. The P and T cancels out on the right and you are left with r. On the left, however, it stays the same because there are no like terms to solve with. You just leave $(I)/(Pt)$ as it is.

The result you get is:

$(I)/(Pt)=r$

Consider the function f(x)=sin(2x)-1 and g(x)= 2 cos^2(x), both with domain [0,phi]. the line x = p intersects the graph of f in point A and the graph of g in point B. calculate the value of p for which the length of segment AB is maximal. Thank you please kindly answer this question

Answers

I think the correct value of p is 2.9 when dealing with this question. Since AB is a vertical line between f(x) and g(x), you know you subtract the upper function by the lower function to find the distance between them. In other words you are tying to find the x value (which can also be thought of as p) that produces the greatest value when g(x) is subtracted from f(x). The reason why g(x) is subtracted by f(x) is that g(x) is above f(x) over the domain of 0 to pi.
I found p by making the function d(x)=g(x)-f(x). Then I took the derivative of d(x) and found when the derivative of d(x) equals 0 since that indicates a maximum or a minimum of the function d(x). their ended up being 2 points from 0 to pi where the derivative of d(x) equaled 0. one at 2.9 and the other at 1.34. The value at 1.34 is a minimum and therefore can't be the right answer. The value at 2.9 is a maximum and is therefore the correct answer.
By the way I did all of my work on a graphing calculator which makes these types of questions a lot easier since it makes it so that you don't have to do it by hand.
I hope this helps. Let me know if I got anything wrong in the comments so that I can try to fix it.

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Answer correct for brainliest and get a thanks ! :-)

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