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KengaRu [80]
3 years ago
9

3. Solve. Check Your Solutions z - 12 = 30

Mathematics
2 answers:
horrorfan [7]3 years ago
7 0

Answer:

z = 42

Step-by-step explanation:

If we want to solve this algebraic equation, we need to isolate z on one side.

z - 12 = 30

Add 12 to both sides:

z - 12+12 = 30+12\\\\z = 42

To check our work, let's substitute 42 in as z.

42 - 12 = 30

42 minus 12 is indeed 30.

Hope this helped!

olga_2 [115]3 years ago
6 0

Answer:

z = 42

Step-by-step explanation:

z - 12 = 30

Add 12 to each side

z - 12+12 = 30+12

z = 42

Check

42 - 12 = 30

30 = 30

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Who has a constant rate of pay
Setler79 [48]

Answer:

Jane has a constant rate of pay because her earnings go up by 12 every unit of time.

7 0
3 years ago
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP
AysviL [449]

Answer:

6

Step-by-step explanation:

You have a total of $30, but you can't spend it all on buckets of balls because first you have to pay the fee to attend the golf clinic.

So you have to figure out how much you have left after you spend $12 on fees.

$30−$12=$18

This means that you can spend $18 on buckets of golf balls.

At $3 each, how many buckets can you buy with $18?

18÷3=6

This means that you can buy

<u>6</u> buckets of golf balls at the clinic after paying the fee to join.

Equation:

12+3x=30

3x=18

x=6

8 0
3 years ago
In Quebec, 90 percent of the population subscribes to the Roman Catholic religion. In a random sample of eight Quebecois, find t
AysviL [449]

Answer:

Probability that the sample contains at least five Roman Catholics = 0.995 .

Step-by-step explanation:

We are given that In Quebec, 90 percent of the population subscribes to the Roman Catholic religion.

The Binomial distribution probability is given by;

 P(X = r) = \binom{n}{r}p^{r}(1-p)^{n-r} for x = 0,1,2,3,.......

Here, n = number of trials which is 8 in our case

         r = no. of success which is at least 5 in our case

         p = probability of success which is probability of Roman Catholic of

                 0.90 in our case

So, P(X >= 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)

= \binom{8}{5}0.9^{5}(1-0.9)^{8-5} + \binom{8}{6}0.9^{6}(1-0.9)^{8-6} + \binom{8}{7}0.9^{7}(1-0.9)^{8-7} + \binom{8}{8}0.9^{8}(1-0.9)^{8-8}

= 56 * 0.9^{5} * (0.1)^{3} + 28 * 0.9^{6} * (0.1)^{2} + 8 * 0.9^{7} * (0.1)^{1} + 1 * 0.9^{8}

= 0.995

Therefore, probability that the sample contains at least five Roman Catholics is 0.995.

3 0
3 years ago
Find the value of x <br> if necessary, you may learn what The markings on a figure indicate
Anvisha [2.4K]

Answer:

68°is the value of x. hope this helps

6 0
3 years ago
Read 2 more answers
Felipe and Makayla each tried to solve the same
amid [387]
Felipe subtract 3x from both side to get rid of x on one side. Ik this isn’t part of the answer but the correct way to do this would be to subtract 2x from each side after adding 8 to each side of the equation
7 0
3 years ago
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