The sum of 6 consecutive integers is 387. what is the sixth number in this sequence?

Answers

Answer 1
Answer: 6 consecutive integers : x, x + 1, x + 2, x + 3, x + 4, x + 5

the sum is 387...
x + x + 1 + x + 2 + x + 3 + x + 4 + x + 5 = 387...combine like terms
6x + 15 = 387
6x = 387 - 15
6x = 372
x = 372/6
x = 62

the 6th number, which is x + 5 is : 62 + 5 = 67 <==

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A surveyor has poles A, B, and C set to form a right triangle with the right angle at B. If the distance from A to B is 35 meters and the distance from B to C is 25 meters, what is the distance from A to C? He can t measure it because there is a deep pond between points A and C.

Answers

It's about Pythagorean theorem.

AB*AB + BC*BC = AC*AC, so:

35*35 + 25*25 = AC*AC
1225 + 625 = AC*AC
1850 = AC*AC

So AC is a root of 1850, which is ~43 (exactly: 43,01162633521313)

It means that distance between A and C is 43 meters and some milimeters.

Given the functions f(x) = 7x + 13 and g(x) = x + 2, which of the following functions represents f[g(x)] correctly?f[g(x)] = 7x + 15
f[g(x)] = 7x + 27
f[g(x)] = 7x2 + 15
f[g(x)] = 7x2 + 27

Answers

f[g(x)] = f[x + 2] = 7(x + 2) + 13 = 7x + 7(2) + 13 = 7x + 14 + 13 = 7x + 27

f[g(x)] = 7x + 27

The correct answer is B.

Marquis begins a career making $53,000 per year. Each year, he is to receive a $1,600 raise. After 25 years, how much total money will Marquis have earned from this career?

Answers

Answer:

B

Step-by-step explanation:

Ed2021

Answer:

b$1,805,000

Step-by-step explanation:

a figure has reflected symmetry across line a. line a passes through the figure. which statement is not true about the figure.

Answers

Answer:

hard stuff i can't answer

AnswerAnswerAnswerAnswerAnswerAnswer

Xander is taking a 5 question quiz worth 100 points. Each question is worth 20 points. Write an equation in function notation that represents his score for x number of questions answered correctly.

Answers

Add 100 +20 - 5 and the total is the resort

Find the volume of the cylinder in terms of Pie8 m

3.8 m not a drawn scale


A. 60.8 pie m3

B 438.98 pie

C 57.76 pie

D 115.52

Answers

Answer:

115.52 m³

Step-by-step explanation:

As per given question we have provided that :

➟ Height of cylinder = 8 m

➟ Radius of cylinder = 3.8 m

We need to find the volume of cylinder :

➟ Volume of cylinder = πr²h