MATHEMATICS HIGH SCHOOL

Six times the sum of a number and eight is 30. Find the number

Answers

Answer 1
Answer:

Answer:

-3

Step-by-step explanation:

to the following equation:

6(x + 8) = 30

Now, we need to solve this equation for x. First, distribute the 6 on the left side of the equation:

6x + 48 = 30

Next, isolate the variable x by subtracting 48 from both sides of the equation:

6x = 30 - 48

6x = -18

Finally, divide both sides by 6 to solve for x:

x = -18 / 6

x = -3

So, the number is -3.

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Simplify and solve this equation for q: 3q + 5 + 2q – 5 = 65. A. q = 23
B. q = 13
C. q = 15
D. q = 11

Answers

 3(13) + 5 + 2(13) – 5 = 65Answer is B
3q + 5 + 2q - 5 = 655q + 0 = 655q divided by 65 is 13 .Answer is B .

The balance in Alex's bank account is $675. The accountearns 6% simple interest calculated twice per year. If Alex
makes no deposits or withdrawals for 2 full years, the
balance in his account (rounded to the nearest dollar) will
be -
Select one:
O
$852
$715
$837
$756

Answers

Answer:

$852

Step-by-step explanation:

From the given question, the following are given:

Present value, PV = $675

Rate, r = 6% = 0.06

Number of years, n = 2 years

Number of times per year, m = 2

The balance in his account is the future value (FV), so that;

Future value = PV(1+r)^(nm)

                     = 675(1+0.06)^((2*2))

                     = 675 x 1.26248

                     = 852.174

Future value = $852

Thus, the balance in Alex's account would be $852.

John is a new employee at International Widget. Having studied human relations, he's eager to understand the supervisory style employed by his immediate supervisor. Which of the following is not especially important to John's insight?a. His supervisor's flexibility on work guidelines
b. Whether his supervisor enjoys particular sports or hobbies
c. The extent to which he (John) is expected to work independently
d. Whether his supervisor is more concerned about short-term or long-term work goals

Answers

The correct option is B. In order for John to understand the supervisory style employed by his immediate supervisor, he does not needs to know the type of sport that his supervisor enjoys, for that particular information is not related to how the supervisor expects John to handle office work. The other statements are John's job related and they are good means of getting insight into the supervisory style of a supervisor.

Number pattern 1,1,2,6,24,120

Answers

you are multiplying every time one more for example 1×2 equals 2 and 2×3 equals 6 and 6×4 equals 24 and 24×5 equals 120 i hope that i helped you.

Which property is BEST to use when simplifying (0.58+0.32)+ 0.68

Answers

i don’t know but i hope u find the answer

The probability for success of an event is P(A), and the probability of success of a second event is P(B). What is the probability of both events occurring, in that order?A. P(A + B)
B. P(A) • P(B)
C. P(A) + P(B)
D. P(A x B)

Answers

Answer:  The correct option is (B) P(A) • P(B).

Step-by-step explanation:  Given that the probability for success of an event is P(A) and the probability of success of a second event is P(B).

We are to find the probability of both events occurring, in that order.

We know that

if two events are independent of each other, then the probability of the intersection of the two events is given by the product of the probabilities of the events.

Here, the event that both events occur is given by (A ∩ B).

And, so the probability of both events occurring, in that order will be

P(A\cap B)=P(A).P(B).

Thus, the required probability is P(A) • P(B).

Option (B) is CORRECT.
D. P(A x B)

To work out the success of both events you have to multiply them together. I'd seriously reccomend learning this rule as it's very important later on in mathematics as it's basically the foundation of all probability statistics.
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