Three times the greater of two consecutive even integers is 26 less than four times the lesser.
Find the integers.

Answers

Answer 1

Answer:

-20, -18

Step-by-step explanation:

let x = the smaller number

Let x + 2 = the larger number

3(x +2) -26 = 4x

3x + 6 -26 = 4x

3x -20 = 4x  Subtract 3x from both sides of the equation

-20 = x

x + 2

-20 + 2 = -18

Check:

3(-20 + 2) -26=  4(-20)

3(-18) - 26 = -80

-54 -26 = -80

-80 = -80


Related Questions

Factorise 6-x^2
will award brainliest to correct answer.

Answers

Answer:

the question should have something in between 6 and x

which point is the solution-2x +3y>1 -5x+6y..

Answers

A point is the solution of the inequality expression given as: -2x + 3y > 1 - 5x + 6y is (0, -2/3)

How to determine the point is the solution?

The inequality expression is given as:

-2x + 3y > 1 - 5x + 6y

Collect the like terms in the above expression

So, we have:

3y - 6y > 1 + 2x - 5x

Evaluate the like terms in the above expression

So, we have:

-3y > 1 - 3x

Divide both sides by -3

y < -1/3 + x

Let x = 0

So, we have

y < -1/3

This means that a point in the solution is

(x, y) = (0, < -1/3)

-2/3 < -1/3

So, we have

(x, y) = (0, -2/3)

Hence, a point is the solution of the inequality expression given as: -2x + 3y > 1 - 5x + 6y is (0, -2/3)

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Joe works as a pianist in a local restaurant. He makes $8.50 an hour. He was able to work 45 hours last week. How much money did he make that week?​

Answers

Answer: $382.50

Step-by-step explanation:

8.50 x 45 = 382.50

11 and of 1/4 added to 3 and of 1/2

Answers

Answer:

11 1/4 + 3 1/2

45/4 + 7/2

(45+14)/4

59/4

14 3/4

Please help!!!! The question and answers are in the photo!!!!

Answers

Answer: x=5

Step-by-step explanation:

|x + 2| = 7

|5 + 2| = 7

|7| = 7

|7| = 7

Match each pair of inverse operations.

1. cubing
subtraction
2. multiplication
division
3. squaring
taking the square root
4. addition
taking the cube root

Answers

cubing- taking the cube root
squaring- taking the square root
addition- subtraction
multiplication- division

Aaron is helping his uncle plant an apple orchard. After picking up a truckload of trees, they plant 12 of them. The next day, they still have 40 trees left to plant. Which equation can you use to find the total number of trees n in the original truckload?

Answers

A new apple orchard is being planted by Aaron's uncle. They plant 12 trees after picking up a truckload of them. They still need to plant 40 trees the following day.

The letter (N) is the symbol used to represent natural numbers. Natural numbers are also known as counting numbers, and they begin with the number 1 and continue to infinity (never ending), which is represented by three dots (...)

900n - 9[tex]n^2[/tex] = A(n) = n(900 - 9n)

For the highest A(n), A'(n) = 0, A'(n) = 900 - 18n = 0, 18n = 900, and n = 900/18 = 50.

50 trees should be planted per acre to produce the most apples possible

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Sixteen identical circles are to be cut from a square sheet of fabric whose sides are 0.4 m long. Find the area of the leover fabric (to 2dp) if the circles are made as large as possible.​

Answers

The left over fabric area is; 0.03 m²

What is the area of the circle?

Now, if the radius of a circle is r, then the diameter is;

d = 2r

Now, there are 16 identical circles to be cut from a square sheet of fabric whose sides are 0.4 m long.

Thus, the height of the square will be the diameter of four circles.

Height of square = 4(2r) = 8r

Thus;

8r = 0.4

r = 0.4/8

r = 1/20 m

Left over fabric area = (0.4 * 0.4) - (π × (1/20)²)

Left over fabric area = 0.03 m²

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Evaluate.
(-7) + (-14)=

Answers

Answer: -21

Step-by-step explanation: hope you have a good day

−7−14=−7+−14=−21

Select the correct answer. Which expression simplifies to 2√15

Answers

Answer:

30

Step-by-step explanation: Simply multiply

2

and

15

=

30

[Caution: If it were -2 and -15, this type of multiplication would not be correct.]

Long division 1,755 divided by 27

Answers

Answer:

65

Step-by-step explanation:

1,755 divided by 27
=65

For every 12 games Purdue wins in football, IU only wins 5. If Purdue wins 36 games, how many will IU win?​

Answers

Answer:

15

Step-by-step explanation:

Purdue : IU

   12      :  5

   36     :  x

cross multiply

36*5 = 12x

180 = 12x

180/12 = x

x = 15

Answer:

36/12= 3 so 5*3 would give you 15

What does the y-coordinate have to be for a point to be on the x-axis?​

Answers

Step-by-step explanation:

If we're talking about something like y coordinate being on the x axis, I'd have to say 0. Because it would be on the y axis no matter the coordinates of it isn't a 0. Ex : (0,0) and (0,9). (0,9) would have the point going upwards on the y axis.

What is 8÷424.4 ? show your work.

Answers

Answer:

Step 1:

Start by setting it up with the divisor 8 on the left side and the dividend 424 on the right side like this:

           

   8 ⟌ 4 2 4

Step 2:

The divisor (8) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:

       0    

   8 ⟌ 4 2 4

Step 3:

Multiply the divisor by the result in the previous step (8 x 0 = 0) and write that answer below the dividend.

       0    

   8 ⟌ 4 2 4

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.

       0    

   8 ⟌ 4 2 4

     - 0    

       4    

Step 5:

Move down the 2nd digit of the dividend (2) like this:

       0    

   8 ⟌ 4 2 4

     - 0    

       4 2  

Step 6:

The divisor (8) goes into the bottom number (42), 5 time(s). Therefore, put 5 on top:

       0 5  

   8 ⟌ 4 2 4

     - 0    

       4 2  

Step 7:

Multiply the divisor by the result in the previous step (8 x 5 = 40) and write that answer at the bottom:

       0 5  

   8 ⟌ 4 2 4

     - 0    

       4 2  

       4 0  

Step 8:

Subtract the result in the previous step from the number written above it. (42 - 40 = 2) and write the answer at the bottom.

       0 5  

   8 ⟌ 4 2 4

     - 0    

       4 2  

     - 4 0  

         2  

Step 9:

Move down the last digit of the dividend (4) like this:

       0 5  

   8 ⟌ 4 2 4

     - 0    

       4 2  

     - 4 0  

         2 4

Step 10:

The divisor (8) goes into the bottom number (24), 3 time(s). Therefore put 3 on top:

       0 5 3

   8 ⟌ 4 2 4

     - 0    

       4 2  

     - 4 0  

         2 4

Step 11:

Multiply the divisor by the result in the previous step (8 x 3 = 24) and write the answer at the bottom:

       0 5 3

   8 ⟌ 4 2 4

     - 0    

       4 2  

     - 4 0  

         2 4

         2 4

Step 12:

Subtract the result in the previous step from the number written above it. (24 - 24 = 0) and write the answer at the bottom.

       0 5 3

   8 ⟌ 4 2 4

     - 0    

       4 2  

     - 4 0  

         2 4

     -   2 4

           0

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 424 divided by 8 calculated using Long Division is:

53

0 Remainder

Step-by-step explanation:

Solve the system of equations algebraically.
4x - 3y = 6
6x - 5y = 6

Answers

Answer: x=6  y=6

Step-by-step explanation:

[tex]\displaystyle\\\left \{ {{4x-3y=6} \atop {6x-5y=6}} \right.\\[/tex]

Since the right parts of the equation are equal, therefore the left parts of the equation are also equal:

[tex]4x-3y=6x-5y\\4x-3y+5y=6x-5y+5y\\4x+2y=6x\\4x+2y-4x=6x-4x\\2y=2x\\[/tex]

Divide both parts of the equation by 2:

[tex]y=x\\Hence,\\4x-3x=6\\x=6\\Thus,\\x=y=6[/tex]

Marisol is buying cupcakes for her daughter's birthday party. she will need at least 2 cupcakes, but no more than 8. cupcakes at the local grocery store cost $3 each. the function p(c) = 3c represents the price of buying c cupcakes. what is the domain and range of the function?

Answers

The domain of the function is [2,8] while the range is [6,24].

What is the range and domain of a function?

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The domain is for the independent variable while the range is for the dependent variable.

Given the function,

p(c) = 3c

Now since Marisol can buy at least 2 cupcakes, but no more than 8.

So,

2 ≤ c ≤ 8 will be the domain of the function.

And,

p(2) = 3(2) = 6

p(8) = 3(8) = 24

So the range is 6 ≤ p(c) ≤ 24.

Hence "The domain of the function is [2,8] while the range is [6,24]".

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Solve for x in the given equation: 1/5 x = 2/5 What would be the inverse operation you would use to solve for x?​

Answers

1/5x = 2/5
x = 2/5 * 5/1 (5/1 is the inverse of 1/5)
x = 2

How many seals would be needed to replace the ? And keep both sides balanced

Answers

Answer:

6 zebras

Step-by-step explanation:

first person 2 answer will give u brainliest need to submit by 2 nite :)

Two angles are Complementary, if the measure of one of the angles is 66.7 degrees what is the measure of the other angle? Answer to the first decimal place, IE 79.5.

Answers

Answer:

probly   79.5

Step-by-step explanation:

i d k

Which relation(s) is/are not a function?

A (-4, 6), (0, 6), (7, 6), (4, 6), (-3, 6)
B (6,-4), (6, 0), (6, 7), (6, 4), (6, -3)
C (4, 1), (8, 2), (12, 3), (16, 4), (20, 4)
D (1, 4), (2, 8), (3, 12), (4, 16), (4, 20)

Answers

Answer:

B.

Step-by-step explanation:

B is not a function because it has a duplicate x value. Any function that has the same x value makes it automatically not a function.

Rose, Bill, Jean, and Candice each received different seat numbers to watch the performance. The seat numbers were either 53, 64, 108, or 216. Candice
received the only seat number with a factor of 16. Bill received the seat number that is the greatest multiple of 8 from the group of seats. Rose received the
only seat number that is a prime number. Which seat number did Jean receive?
A .Jean received seat number 53.
B .Jean received seat number 64.
C .Jean received seat number 108.
D .Jean received seat number 216.

Answers

It should be noted that the seat number is C

Jean received seat number 108.

How to illustrate the information?

It should be noted that from the information, The seat numbers were either 53, 64, 108, or 216. Candice received the only seat number with a factor of 16. This is 64.

Bill received the seat number that is the greatest multiple of 8 from the group of seats. This is 216.

Rose received the.only seat number that is a prime number. This is 53

Therefore, the remaining number is 108.

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-5/6x-(x-1)=1/4(-x+80)

Answers

Answer:

x = - 12

Step-by-step explanation:

- [tex]\frac{5}{6}[/tex] x - (x - 1) = [tex]\frac{1}{4}[/tex] (- x + 80) distribute parenthesis on left side by - 1

- [tex]\frac{5}{6}[/tex] x - x + 1 = [tex]\frac{1}{4}[/tex] (- x + 80)

multiply through by 12 ( the LCM of 4 and 6 ) to clear the fractions

- 10x - 12x + 12 = 3(- x + 80) ← distribute parenthesis by 3

- 22x + 12 = - 3x + 240 ( add 3x to both sides )

- 19x + 12 = 240 ( subtract 12 from both sides )

- 19x = 228 ( divide both sides by - 19 )

x = - 12

what are the next three terms of the sequence 1,11,22,34​

Answers

Answer:

47, 61, 76

Step-by-step explanation:

1 to 11 is 10, 11 to 22 is 11, 22 to 34 is 12. So you are increasing what you are adding by 1. So next you'd add, 13, 14, and 15 respectively. 34+13 is 47, 47+14 is 61, and 61+15 is 76.

Benson was inspired after reading a book on the Boston Marathon and decided he wanted to become a runner. On his first day of running, he weighed 197 pounds. After just six months of running, he weighed 181 pounds. What is the absolute change in Benson's weight over the first six months of his running journey?

Answers

Answer:16

Step-by-step explanation:

subtract the old number by the new number

197-181=16

Based on the regression output, what proportion of the variability in revenue can be accounted for by whether the red sox are playing away? 22.5

Answers

By the given  regression output, 22.5 %  proportion of the variability in revenue can be accounted for by whether the red sox are playing away

the R- squared is to explain the variability in the dependent variable as an outcome of the difference in the independent variable,  therefore the relevant figure here, the revenue is the dependent variable and the Red sox playing away is the independent variable out here.

So,  the proportion will be =   0.2252 x 100%

= 22.5%

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What is the value of (2.4)3? 72 18.325 13.824 7.2

Answers

The cube of 2.4 is 13.824

What is a cube ?

A cube can be described as when a number is multiplied three times. This means a product of the same number three times

From the question we are asked to calculate the cube of 2.4

(2.4)³

= 2.4 × 2.4 × 2.4

= 13.824

Hence the cube of 2.4 is 13.824

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how many days on earth, in decimal form, are equivalent to 9 1/2 years on venus

Answers

One year on Venus is 225 days on Earth.

Multiply that by 9 1/2.
The answer you get is 2137.5

9 1/2 years on Venus years is equivalent to 2137.5 days on Earth.

There are  9 1/2 years on Venus years is equivalent to 2137.5 days on Earth, the answer would be 2137.5 days.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

Equivalent to 9 1/2 years on venus.

Let the number of days on earth is x:

One year on Venus is 225 days on Earth.

= (225)(9 1/2)

= (225x19)/2

= 2137.5 days

Thus, there are  9 1/2 years on Venus years is equivalent to 2137.5 days on Earth, the answer would be 2137.5 days.

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Solve for .
5x- 4 >_12
Choose 1 answer:
12x+ 5< _=-4

Answers

Answer:

x = 3.2 and No solution.

Step-by-step explanation:

5x - 4 = 12

5x = 12 + 4

5x = 16 (divide both sides by 5 to get x)

5x/5 = 16/5

x = 3.2

–––––––––––––––––––––––––––––

5x-3≥12 AND 12x+5≤-4. Solve it separately.

5x - 4>=12. add 4 on both sides. 5x>=16.

John drove 235 miles in 5 hours. If he continued at that same rate, how long would it take to travel 376 Miles?

Answers

The speed John will be 47 miles per hour. Then the time to travel 376 miles will be 8 hours.

What is speed?

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

John drove 235 miles in 5 hours. Then the speed of the John will be

Speed = 235 / 5

Speed = 47 miles per hour

If he continued at that same rate. Then the time to travel 376 miles will be given as,

47 = 376 / Time

Time = 376 / 47

Time = 8 hours

The speed John will be 47 miles per hour. Then the time to travel 376 miles will be 8 hours.

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Answer:8

Step-by-step explanation:

help me with this please!​

Answers

Using the function concept, we have that:

Items 1, 4, 5, 6, 8 and 10 are functions.Items 2, 3, 7 and 9 are not functions.

When does a relation represents a function?

A relation represents a function when each value of the input is mapped to only one value of the output.

For the relations that are not functions, we have that:

Relation 2: Suppose x = sqrt(5), then y = 2 or y = -2, that is, for each value of x, there are two values of y associated with it, hence it is not a function.Relation 3: Input 3 is associated with outputs 4 and 2, hence it is not a function.Relation 7: Input 9 is associated with outputs -18 and 17, hence it is not a function.Relation 9: Input 9 is associated with outputs -16 and 9, hence it is not a function.

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