Sean wrote a number on a piece of paper. If he multiplied his number by 5 and then divided by 2,
the answer would be 30. What was Sean’s number?

Answers

Answer 1
Answer: 5x/2=30
2(5x/2)=2(30)
5x=60
x=12


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Find the area of the shaded region. round to the nearest hundredth. use 3.14 for pi.

Answers

What is the shaded area

forty children from an after school club went to the matinee. this is 25% of the children at the club. how many children are in the club

Answers

Number of children from an after school that went to the martinee = 40
Percentage of children from an after school that went to the martinee = 25%
Let us assume the number of children in the club = x
Then
25% * x = 40
(25x/100) = 40
x/4 = 40
x = 40 * 4
   = 160
So the total number of children in the club is 160. I hope the procedure is clear enough for you to understand. you can always use this method for solving similar problems without requiring any help from outside.
25% of 40 is 10. So there are still 30 kids in the club. :)

What is the length of AC ?

Answers

Triangles ABC and CDE and similar with ABC being dilated larger. This means we can use ratios to help solve for x, and then solve fo AC.

(84)/(156-x) =  (7)/(x)
(84x)/(156-x) = 7
84x = 7(156 - x)
84x = 1092 - 7x
91x = 1092
x = 12
So, from this problem we now know that x is equal to 12. We merely need to plug that into what is given for AC and solve for AC.
AC = 156 - 12
AC = 144
Therefore, A is equal to 144.

Answer:

A. 144 is the answer

Step-by-step explanation:

I took the CST

The area of a square battlefield was 22,500 square miles. How long will it take a group of soldiers to cross the field diagonally at the rate of 3.2 miles/hour? Show work and explain

Answers

√(22500) = s \n\ diagonal = s √(2) \n\ s = 150, \ diagonal = 150√(2) \n\ diagonal \approx 212.132 \n\ 212.132/3.2 \approx 66.291 \ hrs

What is the domain for the piece of the function represented by f(x)=x+1

Answers

Answer:

(-∞, ∞)

Step-by-step explanation:

As you can see for each value of x , f(x) is defined

example , for x = -8000 , f(x) is defined to be -7999.

                 for x = 0 , f(x) is defined to be 1.

                 for x = 8000 , f(x) is defined to be 8001.

Also,

By its graph , Which is a straight line , So, it is defined everywhere

Thus,

its domain is(-∞, ∞)

If x < 5, then which of the following must be true?-x < -5
-x > -5
-x < 5
-x > 5

Answers

If x > 5, than it stands to reason that -x < 5. Say x is 17. 17 > 5, that is true, but when you add a negative in front of 17, it becomes -17 > 5, which is not true, but -17 < 5 is. The third answer choice is correct.

Answer:

-x<5

Step-by-step explanation: