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Sidana [21]
3 years ago
13

Jack's mother gave him 50 chocolates to give to his friends at his birthday party. He gave 3 chocolates to each of his friends a

nd still had 2 chocolates left. Write an equation to determine the number of friends (x)(x)left parenthesis, x, right parenthesis at Jack's party. Find the number of friends at Jack's party. friends
Mathematics
2 answers:
blondinia [14]3 years ago
8 0

Answer:

3x+2=50 and the number of friends is 16

Step-by-step explanation:

I just did the answer

iragen [17]3 years ago
3 0
Number of friends - x

50-3x=2
-3x=-48
3x=48
x=16

Jack has 16 friends.
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sarah invests £9600 at a simple interest rate of 8% per year. Work out the value of the investment after 3 years
Bess [88]

Answer:

£11,904

Step-by-step explanation:

Simple interest = PRT/100 where P = initial investment, R = rate and T = time.

So interest on £9600 = 9600*8*3/ 100

= £2304

So the value after 3 years = 9600 + 2304

= £11,904   (answer)

3 0
3 years ago
Read 2 more answers
Wave Corporation began the current year with a retained earnings balance of $25,000. During the year, the company corrected an e
Hitman42 [59]

Answer:

$30,000.

Step-by-step explanation:

Wave Corporation began the current year with a retained earnings balance of $25,000.

Depreciation expense was of $5000

During the current year, the company earned net income of $15,000

Also gave cash dividends of $5,000.

So, year end retained earnings will be :

Year end retained balance = total net income minus net losses and dividends.

25000-5000+15000-5000=30000 dollars

The answer is $30,000.

7 0
3 years ago
Question 1 of 10
kvasek [131]

Given:

A parabola opens up or down and its vertex is at the point (h, v).

To find:

The equation of the parabola.

Solution:

A parabola opens up or down. It means it is a vertical parabola.

The vertex form of a vertical parabola is

y=a(x-h)^2+k             ...(i)

Where, a is constant and (h,k) is vertex.

The vertex of given parabola is at point (h,v). Putting h=h and k=v in (i), we get

y=a(x-h)^2+v

The required equation of the parabola is y=a(x-h)^2+v.

Therefore, the correct option is A.

4 0
3 years ago
Read 2 more answers
Intellectual development (Perry) scores were determined for 21 students in a first-year, project-based design course. (Recall th
Anit [1.1K]

Answer:

The 99% confidence interval is (3.0493, 3.4907).

We are 99% sure that the true mean of the students Perry score is in the above interval.

Step-by-step explanation:

Our sample size is 21.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

df = 21-1 = 20.

Then, we need to subtract one by the confidence level \alpha and divide by 2. So:

\frac{1-0.99}{2} = \frac{0.01}{2} = 0.005

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 20 and 0.005 in the two-sided t-distribution table, we have T = 2.528

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

s = \frac{0.40}{\sqrt{21}} = 0.0873

Now, we multiply T and s

M = 2.528*0.0873 = 0.2207

Then

The lower end of the interval is the mean subtracted by M. So:

L = 3.27 - 0.2207 = 3.0493

The upper end of the interval is the mean added to M. So:

LCL = 3.27 + 0.2207 = 3.4907

The 99% confidence interval is (3.0493, 3.4907).

Interpretation:

We are 99% sure that the true mean of the students Perry score is in the above interval.

7 0
3 years ago
Please help
larisa [96]

Step-by-step explanation:

1/3,0,9

9,3,27

1/9,3,27

3 0
3 years ago
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