Find three consecutive odd integers such as the sum of the smallest number and middle number is 27 less than 3 times the largest number

Answers

Answer 1

Answer:

           17, 19 and 21

Step-by-step explanation:

x    - an integer

then: 2x is an even number and 2x+1 is an odd number

consecutive odd numbers increase by 2  (even numbers too)

so the next odd number (the middle number) is:

2x+1+2 = 2x+3

and the third (the largest) consecutive is:

2x+3+2 = 2x+5

the sum of the smallest and the middle numbers is:

2x + 1 + 2x + 3

3 times the largest number is:  

3(2x + 5)  

the sum of the smallest number and middle number is 27 less than 3 times the largest number, so:

2x + 1 + 2x + 3 = 3(2x + 5) - 27

4x + 4 = 6x + 15 - 27

    -6x       -6x

-2x + 4 = -12

    -4       -4

 -2x  = -16

 ÷(-2)    ÷(-2)

   x = 8

2x+1 = 2•8+1 = 17

2x+3 = 2•8+3 = 19

2x+5 = 2•8+5 = 21

Check:

2x+1+2x+3 = 16+1+16+3 = 36

36+27 = 63

63:3 = 21 = 2x+5


Related Questions

-4 times -1 +(-3) need ASAP plz

Answers

Answer:

1

Step-by-step explanation:

-4(-1)+-3

4+(-3)

=1

Answer: [tex]1[/tex]

Multiply

[tex]-4*-1=4[/tex]

Note: Multiply a negative to a negative will equal a positive.

Add

[tex]4+(-3)=1[/tex]

solve for x

-x + 1 = x + 21

Answers

Answer:

[tex]x=-10[/tex]

Step-by-step explanation:

[tex]-x+1=x+21[/tex]

Subtract 1 from both sides:

[tex]-x+1-1=x+21-1\\-x=x+20[/tex]

Subtract x from both sides:

[tex]-x-x=x+20-x\\-2x=20[/tex]

Divide both sides by -2:

[tex]\frac{-2x}{-2}=\frac{20}{-2}\\x=-10[/tex]

A puppy is on sale at a pet store for $324,marked down 10% from an original selling price of 360.
A. if the markup from coast to sale price was $54,what was the cost? Round to the nearest dollar.
B. How would you solve the problem if you were given the sale price? please help me if you can

Answers

Answer:

$ 360

Step-by-step explanation:

Puppy is on sale for = $ 324

It is marked down by 10% from original selling price of $ 360

Markup from the original buying cost = $ 54

Original Cost was = 360 - 54 = $ 306

$ 360 was the original price which was marked down by 10%  i.e. $ 36 to the sale price of $ 324

Write and solve an equation to find the number n. Six times the sum of a number and 15 is -42.

Answers

Answer:

8

Step-by-step explanation:

6*(n + 15) = -42

Divide both sides by 6

6*(n - 15)/6 = -42/6

n - 15 = -7

n = -7 + 15

n = 8

The equation is solved and the number is n = -22

Given data ,

The sum of a number and 15 can be written as (n + 15)

Six times the sum of a number and 15 can be expressed as 6(n + 15).

According to the given information, this expression is equal to -42. So, we can write the equation:

6(n + 15) = -42

To solve for n, we need to simplify and isolate the variable.

Distribute 6 to the terms inside the parentheses:

6n + 6(15) = -42

Simplify:

6n + 90 = -42

Next, we want to isolate the variable term. Subtract 90 from both sides of the equation:

6n + 90 - 90 = -42 - 90

Simplify:

6n = -132

Finally, divide both sides of the equation by 6 to solve for n:

n = -132 / 6

Simplify:

n = -22

Hence , the number n is -22

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dinner at a restaurant cost $55.00. the diners decide to leave a 20% tip. what is the cost of their total bill.
A. $11
B. $30
C. $72
D. $66

Answers

Answer:

D. 66

Step-by-step explanation:

20% of 55 is 11

11 + 55 = 66

Answer:

A.11

Step-by-step explanation:

so 55 * 0.2 = 11

20% = 2/10

Which decimal is less than 0.8?

Answers

Answer:

0.79 or 0.80 I am pretty sure

Find the perimeter of the triangle with coordinates A(5,2), B(5,4), and C(1,1). Round to the nearest tenth.

Answers

Answer:

A 5,2

Step-by-step explanation:

If 3 is one-quarter of some number, what is that number

Answers

12 because 1/4 is 3 so then multiply
that by 4 and you get the whole number which is 12

Hector has caught 13 fish whose total weight on the scale is 43 pounds
5 ounces. He tells his friend that each fish likely weighs more than 3
pounds. The inequality below represents Hector's statement.
w>3 where w=weight of one fish
How reasonable is Hector's estimate?

Answers

Answer:

Hector's estimate is reasonable.

Step-by-step explanation:

His estimate is reasonable because:

43.5 ÷ 13 = 3.3461538461538461538461538461538‬This means that the weight of one fish is greater than three, therefore Hector's estimate is reasonable and correct.

Ð1 and Ð2 are vertical angles. If mÐ1 = 64°, find mÐ2.

Answers

Answer:

116°

Step-by-step explanation:

mD1+mD2=180°

64°+mD2=180°

mD2=180°-64°

mD2=116°

The sum of a number B and three is greater than 8 and less than 12

Answers

Answer six seven and eight

Step-by-step explanation:

15x+6=10x+21 what’s x

Answers

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

[tex]15x+6=10x+21[/tex]

Subtract 6 from both sides:

[tex]15x+6-6=10x+21-6[/tex]

[tex]15x=10x+15[/tex]

Subtract 10x from both sides:

[tex]15x-10x=10x+15-10x[/tex]

[tex]5x=15[/tex]

Divide both sides by 5:

[tex]\frac{5x}{5}=\frac{15}{5}[/tex]

[tex]x=3[/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 3}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{15x + 6 = 10x + 21}[/tex]

Move 10x to left hand side and change it's sign

Similarly, move 6 to right hand side and change it's sign

[tex] \dashrightarrow{ \sf{15x - 10x = 21 - 6}}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{5x = 21 - 6}}[/tex]

Subtract 6 from 21

[tex] \dashrightarrow{ \sf{5x = 15}}[/tex]

Divide both sides by 5

[tex] \dashrightarrow{ \sf{ \frac{5x}{5} = \frac{15}{5}}} [/tex]

Calculate

[tex] \dashrightarrow{ \sf{x = 3}}[/tex]

Hope I helped!

Best regards! :D

Arrange these numbers in order from least to greatest.

0.352
3.3%
1/5

Answers

Answer:

1/5, 3.3%, 0.352

Step-by-step explanation:

1/5 as a decimal is 0.2

the greatest is 0.352 because it has the highest number in the tenths place.

that is why the answer is:

1/5, 3.3%, 0.352

Answer:0.352, 3.3%, 1/5

Step-by-step explanation:

0.352 is the smallest amount and 1/5 is obviously the biggest if you go from 100, 1/5 would be 20 and 3.3% would be 3.3 and then .352 would be last not even equaling 1.

explain how would you find the square root of a number​

Answers

Answer:

multiply

Step-by-step explanation:

i know this from 3rd grade

Answer:using division method

Step-by-step explanation:

Example is the square root of 144

144 divided by the less prime number till 144 can not be divided again

144÷2=72

72÷2=36

36÷2=18

18÷2=9

9÷3=3

3÷3=1

Then you group the prime numbers used

(2×2)×(2×2)×(3×3)

Then take one of the prime numbers form each group

2×2×3=12

any crime and violation of _______ has a specific punishment​

Answers

The law???????????????

A coffee shop served 24 people before 7:00am. Two-thirds had regular coffee, one-eighth had decaf, and the remaining ordered a specialty coffee. How many customers ordered a specialty coffee?

Answers

Answer:

5 people

Step-by-step explanation:

Regular- 2/3 times 24/1 gets you 16 people

Decaf- 1/8 times 24/1 gets you 3 people

16+3 is 19

24-19=5 people

The number of customers that ordered a specialty coffee is 5.

What is a fraction?

Fractions represent the parts of a whole or collection of objects.

A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.

Now it is given that,

Total number of customers = 24

Customers having regular coffee = Two-thirds

Number of customers having regular coffee = 2/3 * 24 = 16

Customers that had decaf = one-eight

Number of customers having decaf = 1/8 * 24 = 3

Total number of customers having regular coffee and decaf = 16 + 3 = 19

Therefore, Customers that ordered a specialty coffee = Total number of customers - Total number of customers having regular coffee and decaf

Customers that ordered a specialty coffee = 24 - 19

Customers that ordered a specialty coffee = 5

Thus, the number of customers that ordered a specialty coffee is 5.

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I NEED HELP with this problem !!!

Answers

The answer to the question mark would be “0”

PLEASEEE HELP ASAPPP!!!!
Set the sliders for radius and central angle to the predetermined values in the table. Then complete the table with the required values and your observations.

Answers

Answer:

Measure of Central Angle/360:

1/4

1/2

3/4

1/4

1/2

3/4

Visually, how much of the circle is covered by the sector?

one-fourth

one-half

three-fourths

one-fourth

one-half  

three-fourths  

Step-by-step explanation: Plato Answer

Plato exsample :) good luck

5х+4+8x+2y+ 10y
combine like term

Answers

Answer:

13x+4+12y

Step-by-step explanation:

Talia has 2red, 1 blue, and 4 green balls in the same size bag. What probability that talia would pull red out the bag.

Answers

Answer:

I believe is is 2/7.

Step-by-step explanation:

Add green red and blue together and made that the denominator, 7, and make how many red balls their are, 2, the numerator.

6. Which of the following is equivalent to (2x + 2)(3x+1)
(1) 6x² +2
(3) 6x² +8x+2
(2) 5x2 + 8x+3
(4) 16x ^3

Answers

Answer:

6x2+8x+2

this is the answer

It’s 1 because u have to multiply 6 by 2 then add 2

Please help me out!! 90 points if you help me!! 4.5x-7=20

Answers

Answer:

x = 6

Step-by-step explanation:

We can add both sides by 7:

4.5x = 20 + 7 = 27.

Then, we can divide both sides by 4.5, getting x = 27 / 4.5 = 6.

If f left parenthesis x right parenthesis equals 3 x plus 4 evaluate to find what f left parenthesis negative 2 right parenthesis space equals space ?

Answers

Answer:

-2

Step-by-step explanation:

Given the function f(x) = 3x+4. To find f(-2), we will substitute x = -2 into the given function as shown;

F(-2) = 3(-2)+4

F(-2) = -6+4

F(-2) = -2

Hence the value of f(-2) is -2

find the measure , I need help

Answers

Answer:

166°

Step-by-step explanation:

Since ∠A = ∠B,

the equation below helps to find the value of x and angle A:

7x + 40° = 3x + 112°7x - 3x = 112° - 40°4x = 72°x = 72°/4x = 18°∠A = 7*18° + 40° = 166°

7x+40-180=3x+112-180

7x-3x=112-40

4x=72

x=18

A=7*18+40=126

B=21+112=133

Find the other endpoint of the line segment with the given endpoint and midpoint.
Endpoint: (5,3). Midpoint: (-5,10)

Answers

Answer:

B

Step-by-step explanation:

because it is (5,15) and B is (5,15)

-3-(-5) =
I am stupid help me

Answers

Answer:

2

Step-by-step explanation:

-3+5= 2

Answer:

2

Step-by-step explanation:

y=-7x-2 through (-4,6)
what is the equation in slope-intercept form?

Answers

Answer:

the equation that passes through this is y= -7x-22

Step-by-step explanation:

You want to find the equation for a line that passes through the point (-4,6) and has a slope of -7.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was -7. So you can right away fill in the equation for a line somewhat to read:

y=-7x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(-4,6). When x of the line is -4, y of the line must be 6.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: b is what we want, the -7 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the point (-4,6).

So, why not plug in for x the number -4 and for y the number 6? This will allow us to solve for b for the particular line that passes through the point you gave!.

(-4,6). y=mx+b or 6=-7 × -4+b, or solving for b: b=6-(-7)(-4). b=-22.


9/4 divided by 3/8 ?

Answers

Answer:

6

Step-by-step explanation:

order the numbers from least to greatest. √9/4 2.5 5/3 5

Answers

Answer:

least:  sqrt( 9/5)

                5/3

             sqrt(5)

greatest: 2.5

Step-by-step explanation:

The least to greatest order is √9/4, 5/3, √5, and 2.5 after simplification the numbers.

What is the number?

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

As we know,

The integer can be defined as the whole number it can be a negative whole number or a positive whole number for example 2, 4, 1, -8, 0, etc.

It is defined as the numbers in all real numbers which cannot be represented as rational numbers, in other words, the irrational number cannot be expressed in the form of p/q form.

A rational number is a sort of real number that has the form p/q and does not equal zero.

Thus, the least to greatest order is √9/4, 5/3, √5, and 2.5 after simplification the numbers.

Learn more about the number here:

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Joe pays $26.78 for 6.5 gallons of gas.
Find the unit price in dollars per gallon.
If necessary, round your answer to the nearest cent.

Answers

Answer:

$4.12

Step-by-step explanation:

$26.78 / 6.5 gallons = $4.12 per gallon

Answer: $4.12

Step-by-step explanation: For every gallon the unit rate is $4.12 per gallon.

Hope this helped!

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