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3 years ago

- The sum of three consecutive integers is 21 larger

Mathematics

1 answer:

Nata [24]3 years ago

7 0

Answer:

The consecutive integers are:

18, 19, 20

Step-by-step explanation:

Let the three consecutive integers be:

x+ 1

x+2

Now according to given conditions:

x + x+1 +x + 2 = 21 + 2x

Adding like terms:

3x + 3 = 21 + 2x

Taking terms with x on left side and constants on right side

3x - 2x = 21 - 3 (Sign of transferred terms will be changed)

x = 18

So the consecutive terms become:

x = 18

x + 1 = 19

x + 2= 20

I hope it will help you!

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How far does the tip of the minute hand of a clock move in 1 hour and 27 minutes if the hand is 2 inches long?

Nesterboy [21]

So, a full circle has 360°, thus when the minute hand does one hour, it does a full circle, therefore 360°.

now, how many degrees are there in 1 minute? well, there are 60 minutes in 360°, therefore there are 360/60 degrees in 1 minute, or 6°.

now, we know in 1 hour there are 360°, how many in 27 minutes? well, 27 * 6, or 162°. So after 1hr and 27min, the minute hand has done 360+162 or 522°.

we also know the minute hand is 2 inches long, thus

$\bf \textit{arc's length}\\\\
s=\cfrac{\pi \theta r}{180}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
r=2\\
\theta =522
\end{cases}\implies s=\cfrac{\pi \cdot 522\cdot 2}{180}$

which is roughly 18 inches rounded up.

5 0

3 years ago

Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.

zloy xaker [14]

Answer:

The statement, one fifth of the square of a number is written as

$\frac{1}{5} {x}^{2}$

Hope this helps you

6 0

2 years ago

Solve for f.<br> 5 = f + 1<br> f=

4vir4ik [10]

Answer:

f=4

Step-by-step explanation:

1) first we have to get the "f" by itself. to do this we subtract the 1 from the right side of the equation.

2) and what you do to one side you ALWAYS do to the other side!!! so subtract 1 from the 5 also

3) this leaves you with 4=f

hope this helps!

8 0

3 years ago

Read 2 more answers

Solve: x - 5 = 12 A) 7 B) 16 C) 17 D) 18

postnew [5]

Answer:

The answer is option c) 17

Step-by-step explanation:

x - 5 = 12

x = 12 + 5

x = 17

The answer is c) 17

3 0

2 years ago

Read 2 more answers

Please help me :/!!!!

Dovator [93]

Answer:

(3, 9)

Step-by-step explanation:

Set 3x and 2x+3 equal to each other forming an equation in x.

3x=2x+3

Solve for x.

x=3

Substitute the given value of x into the equation y=3x.

y=3x3

Solve for y.

y=9

(x, y) = (3, 9)

Hope this helps :)

7 0

3 years ago