Find three consecutive integers such that when three times the third is increased by the first, the result is 8 less than five times the second.

Answers

Answer 1

Answer:

           9, 10 and 11

Step-by-step explanation:

x - the smallest of three consecutive integers (the first)

x+1 - the next of three consecutive integers (the second)

x+2 - the last of three consecutive integers (the third)

3(x+2) - three times the third integer

3(x+2)+x - three times the third increased by the first

5(x+1)   - five times the second tnteger

5(x+1)-8  - 8 less than five times the second

3(x + 2) + x = 5(x + 1) - 8

3x + 6 + x = 5x + 5 - 8

   4x + 6 = 5x - 3

       -4x        -4x

        6 = x - 3

         x = 9

x+1 = 10

x+2 = 11

Check:  3×11+9 = 33+9 = 42,   5×10-8=50-8 = 42


Related Questions

The radius of a hydrogen atom is 0.000000000025 meter. How would you express this radius in scientific notation?

Answers

Answer:

2.5x10^-11

Step-by-step explanation:

un bulto de frijol contiene 50 kilogramos, Si se reparten una 1/5 a cada persona de un total de 5 ¿Cuántos kilogramos le corresponde a cada uno?



lo necesito para hoy porfa ​

Answers

10 kilogramos a cada persona
This is not mathematics . Another language

What is the solution to 8x - 3(2x - 4) = 3(x - 6)?

Answers

Answer:

x = 30

I hope this helps!

X= 30 if you ever need a better understanding just make sure you ask your teachers for help

Each year for 3 years, the time it takes to run a mile decreases by 7 seconds.

What number represents this total change in time.

Answers

Answer:

21

Step-by-step explanation:

What is -4 times 7/10

Answers

Answer:

-280

Step-by-step explanation:

because,

-4(7)= -28

-28(10)= -280

Write the expression as a power with the base of 3 and find its value in the table of cubes



27·243

Answer:

27 · 243 = 3

=

Answers

Answer:

3^8 and 6,561

Step-by-step explanation:

1) Calculate, 3 to the power of what is 27?

Make a table of all of 3's powers until 10. i.e. 3^1 = 3, 3^2 = 9 ......

You will find that 3^3 = 27 and 3^5 is 243

3) Use the formula x^m * x^n = x^m+n and substitue our value.

It should look like this: 3^3 * 3^5 = 3^3+5 = 3^8

4) Make a table as described in step 2  and calculate all of 3's powers up to 10. Look at your table and you will find that 3^8 is equal to 6,561

5) The expression written as a power is

3^8 and

the value: 6,561

Enjoy :)

Please hurry (if you want)

Answers

Answer:

First answer

Step-by-step explanation:

It makes sense to me... I think I am right... I know think is not definate But I have good grades.. So... (BTW I am socially if I sound off or odd that is just me)


Yesterday, Grace drove 38 1/2 miles. She used 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon?

Answers

Answer:

The unit rate for miles per gallon is 30 3/5

miles per gallon

Step-by-step explanation:

To get the unit rate for miles per gallon, we simply divide the number of moles by the amount of gallons

Number of miles is 38 1/2 which is 77/2 miles

Number of gallons = 1 1/4 = 5/4

So unit rate will be;

77/2 divided by 5/4

= 77/2 * 4/5 = 154/5 = 30 3/5 miles per gallon

In a rectangle KLMN, the diagonals KM and LN intersect at O.

(i) If KO = 4y + 6 and ON = 3y + 11, find the lengths of its diagonals.

(ii) If ∠NKM = 32°, find ∠KON and ∠KMN.
guys, pls answer. it's very urgent. I have to submit tomorrow. pls don't give wrong ans.

Answers

Answer:

8y°±94°⊂⊂100°

Step-by-step explanation:

5.
Students in Mr. Muni's Clas:
Boys
24
21
18
15
12
9
6
3
2 4 6 8
Girls

Answers

Answer:

how many girls do you have

When you are adding in commas to separate periods, which direction do you move to place them? What is the second set of period called?

Answers

Commas customarily indicate a brief pause; they're not as final as periods Another way to determine if a comma is needed is to mentally put and between the two ... If the result still makes sense, add the comma. In the


2. Which part of the triangle is always directly
opposite the right angle?

Answers

Answer:

So BASically

A triangle has 3 sides

One is the hypotenuese

The other is the Base

and the last one is perpendicular

Step-by-step explanation:directly

opposite the right angle is The HYPOTENUESE

Answer:  Hypotenuse

For any triangle, the longest side is always opposite the largest angle. The largest angle of a right triangle is always the 90 degree angle. If you had any larger angle, then the triangle wouldn't be a right triangle and instead it would be obtuse.

In a right triangle, the longest side is given the special name hypotenuse. The other sides of a right triangle are called the legs.

Solve the following system of equations for all three variables.

x
+
2
y
+
z
=
−x+2y+z=


0
0

x
+
2
y
+
3
z
=
−x+2y+3z=


0
0
x

5
y

2
z
=
x−5y−2z=

Answers

Answer:

using ve as the rate of a sudden she is not the one who thought she would not be able talk about it its wierd and get close to Jayden and dont ttl that he would never break a gun and put her on a train to get her out and yeah I was going for sure and I will tell you

If 2 inches on a map represents 75 miles how many does 8 inches represents

Answers

Answer:

Using a simple step-step expression we can identify that the right answer would be aprox 300 miles.

step-by-step explanation:

Make the problem into an expression.

2in=75miles

2/75=8/x

75*8=600

600=2x

x=300

At the end of the day, Mr. Díaz drains the pool. The equation
y = -50x + 300 can be used to find y, the number of gallons of
water left after draining the pool for x minutes. Graph the
equation. How long does it take to drain the pool? Explain.

Answers

Answer: 6 minutes.

Step-by-step explanation: You can use a graphing calculator to see the exact graph, but you're trying to figure out what value of x gives you a y of 0. -50 times 6 is 300, plus 300 equals 0.

The graph of the equation y = -50x + 300 is a straight line, and plotted below. The time it take the pool to drain, according to this equation, is  6 minutes.

How do we make graph of a function?

Suppose the considered function whose graph is to be made is f(x)

The values of 'x' (also called input variable, or independent variable) are usually plotted on horizontal axis, and the output values f(x) are plotted on the vertical axis.

They are together plotted on the point

(x,y) = (x, f(x))

This is why we usually write the functions as:

y = f(x)

For this case, we're specified that:

y = the number of gallons of water left after draining the pool for x minutes.The relationship between x and y given is: y = -50x + 300

Take two different values of x, let it be 0 and 1.

Then, the value of y we get is:

Case 1: x = 0:

[tex]y = -50x + 300\\y = -50 \times 0 + 300\\y = 300[/tex]

Thus, one point on the equation y = -50x + 300 is (0,300)

Case 2: x = 1:

[tex]y = -50x + 300\\y = -50 \times 1 + 300\\y = 300 - 50 = 250[/tex]

Thus, another point on the equation y = -50x + 300 is (1,250)

Plot these points taking x on horizontal and y on vertical axis. Then join those two points by a straight line. This is the graph of the considered equation as equation of type [tex]y = mx +c[/tex] is a straight line's equation and for straight line, two of its points are sufficient to plot it.

The graph is given below.

Since we know that:

y = number of gallons of water left after draining the pool for x minutes,

so when the pool drains of fully, there will be no water left, or y = 0.

Putting y = 0 in the equation y = -50x + 300, we get:

[tex]y = -50x + 300\\0 = -50x + 300\\\\\text{Adding 50x on both the sides}\\\\50x = 300\\\\\text{Dividing both the sides by 50}\\\\x = \dfrac{300}{50}= 6[/tex]

Thus, when y= 0, we get x = 6, so when the fully filled pool is drained for 6 minutes, the whole pool gets drained (for this case).

Thus, the time it take the pool to drain, according to this equation, is  6 minutes. The graph of the equation y = -50x + 300 is given below.

Learn more about graphing functions here:

https://brainly.com/question/14455421

#SPJ2

[tex]\sqrt{x} =69[/tex]
x=?

Answers

Answer is X=4761

Because square root of 4761 is 69

Write the exponent for the expression.
3 x 3

Answers

Answer:

2

Step-by-step explanation:

Answer:

3²=3×3

Step-by-step explanation:

there are two 3s, so it would be 3²

another word for multiplicative inverse

Answers

Answer:

Reciprocal

Step-by-step explanation:

That's it right there

Reciprocal you can look it up on google

HELP HELP HELP HELP HELP HELP PLEASE I BEG U

Answers

Answer:

-3.2

Step-by-step explanation:

Do you have to work this out on paper because I just used a calculator but just add 3.1 + -6.3.

.............................

Answers

Answer: For 5 pirate ships, you need 55 pirates. For 11 pirate ships, you need 121 pirates.

Step-by-step explanation:

22 (# of pirates) divided by 2 (# of ships) = 11 pirates per ship. Use this knowledge of 11 pirates per ship to find how many pirates you need for different numbers of ships:

  11*5= 55 for 5 ships &

11*11= 121 pirates for 11 ships.

Alexis divided a 1 3/4 pound bag of apples among 3 friends how many pounds of apples did each friend receive (show ur work)

Answers

Answer:

1 3/4 /3 =

Step-by-step explanation:

first turn 1 3/4 into a improper fraction which is 7/4 then divide 3/1  then turn around 3/1 into 1/3 now multiply 7/4 times 1/3 is 7/12 .

KCF -Keep

        Change

         Flip

Which number line can be used to find the distance between (4, –1) and (8, –1)

Answers

Answer:

The distance between the two points is 4

Step-by-step explanation:

(8, -1) - (4, -1) is 4, so I’d say the answer is four.

Answer:

4

Step-by-step explanation:

An equation is modeled.




What value of x makes the equation true?
1
7
-5
-1

Answers

The equation modeled is 5x + 6 = 1

Answer: x = -1

5(-1) + 6 = 1

(-5) + 6 = 1

1 = 1

brainlllyy i need an answer what’s the slope of this line

Answers

Answer:

4/5

Step-by-step explanation:

The slope of the line is 4/5.

To find out the slope of a line, you must remember rise over run. Using that, you count up from whenever the line meets an actual whole number, which in this case it is -2, and then count up 4, and then you start counting right to meet the point (3, 4). The number of spaces you go to the right is 5, making the slope 4/5.

Hope this isn't too confusing and that it helps :)

Polygon ABCD is reflected across line L to form ALBLCLDL. What is the relationship between line L and CCL?

Answers

Answer:

can you come help me with the top two questions on my profile

Step-by-step explanation:

Answer:

C) Line L is the perpendicular bisector of CCL

Step-by-step explanation:

Write an equation that is parallel to y=4/5x+1?

Answers

Answer:

y=4/5×

Step-by-step explanation:

its parallel. U just have to leave the slope alone but find a different y intercept.

When parallel lines passes through origin (0,0) the the equation of line parallel to [tex]y=\frac{4}{5}x+1[/tex] is

[tex]y=\frac{4}{5}(x)[/tex]

Given :

Given the equation is [tex]y=\frac{4}{5}x+1[/tex]

the given equation is in the form of y=mx +b

where m is the slope and b is the y intercept

[tex]y=\frac{4}{5}x+1\\slope =\frac{4}{5}[/tex]

when two lines are parallel to each other then the slopes are equal

slope of parallel line = slope of given line

slope of parallel line =[tex]\frac{4}{5}[/tex]

When parallel lines passes through origin (0,0) the the equation of line parallel to [tex]y=\frac{4}{5}x+1[/tex] is

[tex]y-0=\frac{4}{5}(x-0)\\\y=\frac{4}{5}(x)[/tex]

Learn more :  brainly.com/question/17775479

HURRY! What value of x makes this equation true? (8.8C) *
20
+ 3
3
O a. 3
O 6.-9
C-1
d. 27

Answers

Either b or c I think but I’m not really sure

4
Is this number rational or irrational? *
(5 Points)
2.49
Rational
Irrational

Answers

Rational because every whole number is rational
The answer is rational

I NEED HELP WITH THIS ASAP!!! FOR BRAINLIEST LASTQ

Answers

Answer:

A.

Step-by-step explanation:

It's literally the same equation written in reverse, which according to the commutative property, can be done.

Answer: A

Step-by-step explanation:

For this problem, we know that A is the correct answer. A is the same as the given expression because it is the same, but the order is switched. When you multiply both of them, you would get the same answer.

We can eliminate B because [tex]\frac{2}{5}[/tex] should be positive, not negative.

We can eliminate C because the fraction should be [tex]\frac{2}{5}[/tex], not [tex]\frac{5}{2}[/tex].

We can eliminate D because (-1×-7) given you 7, not -7.

Therefore, A is the right answer.

Determine whether or not the triangles below or similar

Answers

Answer:

i think it is D

Step-by-step explanation:

i hope this helped!

p.s it would be cool if you gave me brainliest.

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