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

Which equation does not have the same solution as the others?
A.2x=16
B.x-9=17
C.x/4=2
D.x+12=20

Answers

A & B
a=17
b=24
c=8
d=8

Q5: Car 1 brakes to a stop on a dry road. Car 2 does the same thing, at the same speed, on a road where it has been raining.

Answers

Answer:

finish the question

Step-by-step explanation:

I am a 3 digit number. I have the largest 1 digit number in the tens place , the number that has the same place value always in the ones place and 4 in the hundredth place. Who am I?

Answers

Answer: 490

Step-by-step explanation:

-10m+21=111 solve for m

Answers

Answer:

ans is 11-21/10 sry I don't have calculator

What is 8 divided by 3526​

Answers

Answer:

The answer is 4/1763 in fraction

In decimal, the answer is 0.001 rounded to thousandths.

Step-by-step explanation:

If you want to divide this, you will have to make this expression to a fraction

to 8/3526. Divide the highest numerator if the fraction can simplify. It looks like 3526 can only be simplified by being divided by 2. Divide 2 to each side of the fraction. You should get 2/1763 as a fraction.

10. A pizzeria charges $11.00 for a large cheese pizza and $0.75 per topping on the pizza. Find the slope.
A. $11.00
B. $0.75
C. $11.75
D. $10.25​

Answers

D is the answer ........

Answer:

I'm pretty sure the answer is "D".

Step-by-step explanation:

Describe in words a sequence of transformations that maps ABC to A'B'C'

Answers

Answer:

First is a 90Âş rotation (counter-clockwise) with respect to the origin. Next is a horizontal transformation of +2 units. Transformation one is (x, y) -> (-y, x) Transformation two is (x, y) -> (x + 2, y)

Step-by-step explanation:

Is A the point or coordinate in A(3,5)

Answers

Answer:

The point

Step-by-step explanation:

I hope this helps. Have a good day!

Olivia needs 54 licks for every 3 lollipops she eats.

Complete the table using equivalent ratios.

Answers

Answer:

sorry...

Step-by-step explanation:

lol

A bus makes a stop 2:30 letting off 13 people and lettng on 8. The bus makes another stop ten minutes later to let off 3 more people. How does the number of people on the bus after the second stol compare to the number pf people on the bus before the 2:30 stop??

Answers

Answer:

The number of people on the bus after the second stop is 8 less than the number of peoples on the bus before the 2:30 stop.

Step-by-step explanation:

Let [tex]P_0[/tex] be the total number of peoples on the bus before 2:30 stop.

For the first stop at 2:30:

The bus let off 13 people, so, the total number of remaining people on the bus [tex]= P_0-13[/tex]

again, the bus let on 8 people,  so, the total number of people on the bus

[tex]= P_0-13+8[/tex]

[tex]=P_0-5[/tex]

For the second stop after 10 minutes (i.e at 2:40):

The bus let off 3 people, so, the total number of remaining people on the bus [tex]= P_0-5-3[/tex]

[tex]=P_0-8[/tex]

After the second stop, the number of people on the bus is [tex]P_0-8[/tex], where P_0 number of peoples on the bus before 2:30 stop.

Hence, the number of people on the bus after the second stop is 8 less than the number of peoples on the bus before the 2:30 stop.

In the polynomial shown in the graph below, are there any places that could be described as either a local minimum or local maximum? Neither? Both?

Answers

Answer:

Local Min and Local Max

Step-by-step explanation:

Since our end behavior of our graph is goes on to infinity and negative infinity, we know that we will not have an absolute min or max. However, we will have relative/local min and max.

The local min and max are mins and maxes relative to the surrounding points. We see that our local min would happen around x ≈ 0.75 and our local max will happen at x ≈ -1.9.

Which amount is bigger? x^0, 1/x or x^-1, assuming that x > 1

Answers

Answer:

  x^0

Step-by-step explanation:

1/x = x^-1

For x > 1, this fraction is less than 1, so will be smaller than x^0, which is 1.

x^0 is bigger

Rule: Multiply x by 3. Then subtract 1 from the result to
get y
Which ordered pair, (x, y), works for the rule?
Choose 1 answer:
A-(2,7)
B-(1,2)
C-(3,1)

Answers

The answer is B (1,2)
b the answer is correct

i need help with this 1.5r – 3r + 8r + 2.5r i don't get it

Answers

Answer:

9r

Step-by-step explanation:

1.5r+2.5r-3r+8r

4r-3r+8r

r+8r = 9r

The table represents the total miles traveled, y, after a certain number of hours, x. A 2-column table with 5 rows. Column 1 is labeled hours: x with entries 1.5, 3.0, 5.0, 5.5, 7.0. Column 2 is labeled Miles: y with entries 60, 120, 200, 220, 280. Which linear equation represents the scenario? y = 7x + 280 y = 40x + 60 y = 40x y = 3x + 120

Answers

Answer:

y=40x

Step-by-step explanation:

got it right lol

Answer:

y = 40x

Step-by-step explanation: I took the test on edge

Find the slope of the following linear equation: 2x – 3y = 6
a. - 2/3
b. 2
c. 2/3
d. -2

Answers

c . 2/3 is the correct answer

Answer:

C. 2/3

Step-by-step explanation:

That's what i got personally, but i would wait for another answer to confirm

I dont get this at all somebody help

Answers

Answer:

ok lets relax and figure this out,

so the arts academy basically has only 100 students.

There’s 4 tutors per 40 students.  

6 teachers per 114 students

so it’s basically division

19 kids per teacher, 1 tutor per ten kids

see? All worked out! If you need help just add a comment to this!

Do Dilation's always increase the length of line segments?
true or false
i'm marking someone brainliest with the right answer?

Answers

Answer:

true

Step-by-step explanation:

I'm pretty sure it's trur

CORRECT ANSWER WILL GET BRAINLIEST!! ITS A MATH QUESTION!!

Answers

Answer: X =  -5

Step-by-step explanation:

Answer:

i think it is C

Step-by-step explanation:

Last year Jo paid £245 for her car insurance.
This year she has to pay £883 for her car insurance.

Work out the percentage increase in the cost of her car insurance

Answers

Answer:

The percentage increase in the cost of her car insurance is 260.4%

Step-by-step explanation:

First, we are going to find by how much the insurance increased:

We know that this year she pays £883 and the last year she paid £245, so

insurance increase = £883 - £245

insurance increase = £638

Now, we are going to find what percentage of the last year price is the insurance increase. So, to find the percentage increase in the cost of the car insurance, we need to divide the insurance increase by the last year price and multiply the result by 100%

percentage increase = (\frac{638}{245} )(

245

638

) (100%)

percentage increase = (2.604)(100%)

percentage increase = 260.4%

We can conclude that Jo's car insurance cost increased 260.4%

what is the value of x?

Answers

Answer: I believe 13.5

Step-by-step explanation: PLEASE GIVE BRAINLIEST IT HELPS ALOT

Answer:

the letter x is often used in algebra to mean a value that is not yet known. it is called a variable or sometimes an unknown in x + 2 =7 ,x is a variable,but we can work out its value if we try.....

give me an example of an ordered pair​

Answers

Answer:

My example of a ordered pair is (1,4) (2,8)

david goes on an 8-mile walk every saturday. david completes the distance in 4 hours. at this rate, how many miles can david walk in 5 hours and 30 minutes?

Answers

Step-by-step explanation:

4 hours = 8 miles

1 hour = 8/4 = 2 miles

5.5 hours (5 hr 30 min) = 2 miles × 5.5

=11 miles

On a scale drawing,
1
2
inch = 1 foot. A rectangular room measures 6 inches by 11 inches on the drawing. What is the area of the actual room?
here are the chooses : A.
33 square feet

B.
66 square feet

C.
132 square feet

D.
264 square fee

Answers

Given parameters:

Dimension of the room  = 6 inches by 11 inches;

Unknown:

Area of the actual room = ?

Solution:

The area of the room = length x breadth

 

Now, we need to convert inches to feet;

                Scale;

                       1 inch = 1 foot

                        6 inches  = 6 foot

                       1 inch = 1 foot

                       11 inch = 11 foot

The area of the room = 6 x 11 = 66 square feet

Answer:

6 x 11 = 66 square feet

Step-by-step explanation:

Math problem number 6 its in the ss

Answers

6 inches because all you have to do is divide 450 by 75
Six inches .........

If the smallest angle of rotation for a regular polygon is 18°, how many sides does polygon have?

Answers

Answer:

20

Step-by-step explanation:

360÷18=20

thus ,the polygon have 20 sides

Answer:

20

Step-by-step explanation:

Express the following equation in slope-intercept form:
y+41 =
4
(x+16)
Select the best answer from the choices provided.
OA
4
y=-x+18
11
OB.
4
y=- - X+-26
11
Ос.
11
y=- - *+-19
4
D.
11
y= - X+3
4

Answers

Answer:

y=4x+23

Step-by-step explanation:

sorry  cant choose answer choice ..i ant tell which is which...bu i think you should by now....

i hope this stilled helped

This is khan and I have 10 more problem academy. Some help please?

Answers

Answer:

67 degrees

Step-by-step explanation:

the shape is a tryangle so it will have the same angle measurements, just make sure you look if it has the slash next to the letter or not in the future

Hope this helps girly!!

Answer:

[tex]\angle{C}=54[/tex]

Step-by-step explanation:

Let's first start by establishing that when it comes to a reflection, side lengths and angle measurements remain the same. With that being said, let's identify our angle measurements:

[tex]\angle{A=}\\\angle{B}= 67\\\angle{C}=\\\angle{A'}=59\\\angle{B'}=\\\angle{C'}=\\[/tex]

As mentioned earlier, angle measurements will remain the same, so we can go ahead and identify the values of [tex]\angle{A}[/tex] & [tex]\angle{B'}[/tex]

[tex]\angle{A=59}\\\angle{B}= 67\\\angle{C}=\\\angle{A'}=59\\\angle{B'}=67\\\angle{C'}=\\[/tex]

The sum of the angles in a triangle will always be equal to 180°.

Add the two identified angles of the original figure.

[tex]59+67=126[/tex]

Subtract the sum from 180:

[tex]180-126=54[/tex]

Therefore:

[tex]\angle{C}=54[/tex]

_

Check your work by adding the three identified angle measurements to see if they measure to 180°:

[tex]59+67+54[/tex]

[tex]=180[/tex]

The answer is correct!

7m2 + 3m + 4m2
What is the answer to this

Answers

I’m assuming the 2’s are supposed to be exponents so you’re gonna to combine 7m^2 and 4m^2 to get 11m^2 so you’re answer would be

11m2+3m

You dint know the value of M so you can’t solve it, especially because there’s no equal sign with a number or expression/equation after it.

Explain! Prizes! Thank you!!

Answers

i would say its the first one

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