All categories

3 years ago

The sum of 5 consecutive integers is 120. what is the third number in the sequence

2 answers:

8 0

The sum of 5 consecutive integers is 120
third number = ?
third number will be the middle number of 5 consecutive integers
so if we divide 120 with 5 we get 24.
so 24 is the third number.
consecutive numbers are: 22, 23,24,25 and 26
22 + 23 +24 +25 +26 = 120
so, 24 is the third number

Lady_Fox [76]3 years ago

3 0

Answer:

24 is the third number

Step-by-step explanation:

I got it right i just did it

You might be interested in

100 points link down below! no off sight links please no I don't knows just a thing that state all the answers Ill give you anot

dolphi86 [110]

Answer:

All of the questions?

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Suppose you want to accumulate $25,000 as down payment on a house and the best you can do is to put aside $200 a month. If you d

Sunny_sXe [5.5K]

Answer:

It will take 88.2 months to accumulate the amount

Step-by-step explanation:

Given;

Future value of money, FV = $25,000

investment per compound period, P = $200

interest rate, i = 0.75% x 12 = 9%

The number of monthly installments required to amount to FV is given by;

$n = \frac{ln(FVi +cp)-ln(cp)}{ln(c+i)-ln(c)}\\\\ n = \frac{ln(25000*0.09 +200*12)-ln(200*12)}{ln(12+0.09)-ln(12)}\\\\n = \frac{8.4446 -7.7832}{2.4924-2.4849}\\\\n = 88.2 \ months$

Therefore, it will take 88.2 months to accumulate the amount.

7 0

3 years ago

Sixty seven percent of the employees in a company have managerial positions, and 58 percent of the employees in the company have

Kazeer [188]

Answer: The proportion of employees who either have MBAs or are managers are 0.58.

Step-by-step explanation:

Since we have given that

Probability of employees having managerial positions = 67%

Probability of employees having MBA degrees = 58%

Probability of managers having MBA degrees = 67%

So, using probability formulas, we get that

$P(A\cup B)=P(A)+P(B)-P(A\cap B)\\\\P(A\cup B)=0.67+0.58-0.67\\\\P(A\cup B)=0.58$

Hence, the proportion of employees who either have MBAs or are managers are 0.58.

7 0

3 years ago

find the number of running and passing plays using substitution method 110 plays 3 yards per run 7 yards per pass total yards 37

Zinaida [17]

Let x be the number of running plays

Y be the number of passing plays

Since the total plays is 110

X + y = 110

And total yard is 378

3x + 7y = 378

Using the first equation

X = 110 – y and substitute to the 2nd equation

3(110 – y) + 7y = 378

And solve for y

Y = 12

Substitute to eqution 1

X = 110 – 12 = 98

7 0

3 years ago

A park has a 3m tall tetherball pole, and a 6.8m tall flagpole. The lengths of their shadows are proportional to their heights.

vlada-n [284]

Complete question is;

A park has a 3 meter tall tether ball pole and a 6.8 m tall flagpole. The lengths of their shadows are proportional to their heights.

Which of the following could be the lengths of the shadows?

Choose 2 answers from the options attached.

Answer:

Options B & D

Step-by-step explanation:

From the question, the proportional relationship between the height and shadow length is a direct proportionality. This means that an increase in the height, leads to an increase in the length of shadow and vice versa. Thus, the height to shadow length ratio is a constant.

Now, if we use x and y to denote length of shadow of tether ball pole and length of flagpole receptively, we will have;

3/x = 6.8/y

Let's make y the subject.

y = 6.8x/3

Looking at the options;

Option A: When x = 1.35 m, we have;

y = (6.8 × 1.35)/3 = 3.06 m

For Option B:

When x = 1.8 m,

y= (6.8 × 1.8)/3 = 4.08 m

For Option C:

When x= 3.75 m,

y = (6.8 × 3.75)/3 = 8.5 m

For option D:

When x = 0.6

y = (6.8 × 0.6)/3 = 1.36 m

For option E;

When x = 2,

y = (6.8 × 2)/3 = 4.533 m

From our calculations, the only values of y that correspond with the given value of y in the options are Options B & D

5 0

3 years ago