Three consecutive integers have a sum of 45. Find the integers.

Answers

Answer 1

Answer:

14,15,16

Step-by-step explanation:

Call n the first integer so you get:

n+(n+1)+(n+2)=45

3n+3=45

3n=42

n=14

The integers are:

14,15,16

Answer 2

Answer:

14,15,16

Step-by-step explanation:

Let the integers be x, (x+1),(x+2)

So,

x+(x+1)+(x+2)=45

x+x+1+x+2=45

3x+3=45

3x=45-3

x= 42/3

x=14

Now put the value.

x= 14(x+1)= 14+1= 15(x+2)=14+2= 16

Now, Add these integers

you'll get

14+15+16=45


Related Questions

Write an equation of the line that passes through the point (2,3) and is perpendicular to the line x+4y-8

Answers

Answer:

[tex]y = 4x - 5[/tex]

Step-by-step explanation:

rewrite the equation

[tex]x + 4y - 8 = 0 \\ 4y = - x + 8 \\ y = - \frac{1}{4} x + 2[/tex]

perpendicular slope is a negative reciprocal. we will use the negative reciprocal to find the y-intercept

[tex]3 = 4(2) + b \\ 3 = 8 + b \\ b = - 5[/tex]

b) Hannah buys 2 1/2 pounds of dried fruit for $1.50. How much is she paying for one pound of dried fruit?

Answers

Answer:

hannah is paying 60 cents per pound or dried fruit

Step-by-step explanation:

1.5÷2.5=0.6

How would I find the derivative of 2^3^x^2 ​

Answers

Answer:

d

y

d

x

=

4

3

x

3

 

Explanation:

y

=

2

3

x

2

=

2

3

x

2

Applying the power rule:

d

y

d

x

=

2

3

(

2

)

x

3

=

4

3

x

3

Step-by-step explanation:

What is the domain of y=log 4(x+3)

Answers

Answer:

domain is the set of numbers you can use for x

Step-by-step explanation:

log_4(x+3)=y means

I mean it translates to

4^y=x+3

remember that x^m≥0 for all real values of x and m

it actually can equal 0 only when x=0 or when x is very small

so

therefor since 4^y>0, x+3>0 as well

solving we get

x>-3

all real numbers greater than -3

2nd option

Write the equation that shows the relationship in the table

Answers

Answer:

y= 20x

Step-by-step explanation:

[tex]40/2=100/5=200/10=20[/tex]  linear function.

I hope this help you

Dùng kí hiệu toán học để viết mệnh đề sau:
Định nghĩa : tam giác ABC gọi là tam giác cân nếu có hai góc bằng nhau

Answers

Answer:

g vs lhnkdeugyvsvjxbd shall

The functions r and s are defined as follows.
r(x)= -2x-2
s(x)=2x² +2
Find the value of s (r (2)).

Answers

[tex]r(x) = -2x-2\\ s(x) = 2x^2+2[/tex]

[tex]s\big(r(2)\big) = s(-2\cdot 2-2) = s(-4-2) = s(-6) = 2\cdot(-6)^2+2 = 2\cdot 36+2 =\\ = 72+2 = 74[/tex]

[tex]\Rightarrow \boxed{s\big(r(2)\big) = 74}[/tex]

Answer:

74

Step-by-step explanation:

Given functions:

r(x) = -2x - 2 s(x) = 2x² + 2

Find s(r(2)) in steps:

r(2) = -2*2 - 2 = - 4 - 2 = - 6s(r(2)) = s(- 6) = 2(-6)² + 2 = 72 + 2 = 74

Answer quickly! [tex]x^{2} = 6[/tex]

Answers

[tex]x = \pm \sqrt{6}[/tex]

please help me with this sum​

Answers

Answers:

59 × 9 = 531

63 × 8 = 504

83 × 4 = 332

38 × 5 = 190

72 × 6 = 432

48 × 4 = 192

19 × 3 = 57

58 × 2 = 116

73 × 8 = 584

60 × 7 = 420

36 × 5 = 180

56 × 7 = 392

75 × 3 = 225

63 × 6 = 378

73 × 3 = 219

70 × 5 = 350

57 × 6 = 342

53 × 7 = 371

27 × 6 = 162

29 × 4 = 116

73 × 3 = 219

49 × 9 = 441

92 × 2 = 184

57 × 9 = 513

36 × 3 = 108

which of the following expressions to 36x + 24y? choose all that apply.

6x (6+4y)
6(6x + 4y)
12(36x + 24y)
12(3x + 2y)
4y(9x + 6)
4(9x + 6y)

Answers

6(6x + 4y)

12(3x + 2y)

4(9x + 6y)

Four balls of wool will make 8 knitted caps. How many balls of wool Malcome needs if he wants to make 6 caps?

Answers

Answer:

3 balls of wool

Step-by-step explanation:

8/4=2

6/2=3

Which of the following satisfies 3x+1=4(mod9)

Answers

Answer:

X=1

Step-by-step explanation:

3x+1=4

3x=4-1

3x=3

x=1

PLEASE HELP WITH THIS ONE QUESTION

Answers

Answer:

dont know

Step-by-step explanation:

sorry

suzanne bought 50 apples at the apple orchard.She bought 4 times as many red apples as green apples. how many more red apples than green apples did suzanne buy?

Answers

Answer:

30 more red apples

Step-by-step explanation:

let 'a' = # of green apples

let '4a' = # of red apples

a + 4a = 50

5a = 50

a = 10

# of red apples:  10(4) = 40

# of green apples:  10

In a school 2/3 parts of the total numbers of students. 3/10 parts are between 8 to 12 years and the remaining are above 12 years . What parts of the students are above the age of 12 years.​
ans:3/10​

Answers

3/10

As you know the answer already I don't think you need any further explanation :)

표에 제시된 상품의 품목 및 2015 년도의 수량이 소비자물가지수를 계산하는 기준이
된다면 2015 년도의 소비자 물가지수를 100 이라고 할 때 2020 년도의 소비자물가지수는
얼마인가?

Answers

Answer:

wat? HWHAHWhhwhwhwhwwhwhw

Given that lines a and b are parallel:
If m48 = (-x + 13), and
= +
m42 = (9x - 27),

Answers

Answer:

[tex]x= 9m+69​ ,m 48​ =− 9m​ + 316​[/tex]

 

 

 

Solve the equation for x, and enter your answer in the box below. 7x = 21

Answers

Answer:

x=3

Step-by-step explanation:

start with 7x=21

divide each side by 7 to get your answer:

x=3

The ratio of dogs to cats at the animal shelter is 4:5. if there are 20 cats, how many dogs are there?

Answers

Answer:

Ratio of cats to dogs is 4:5

Step-by-step explanation:

There are 20 dogs.

4:5=x:20

(5)(4)=20

(4)(4)=16

Answer: 16 cats

You can find the number of cats by using proportion

When the mortgage is completely paid off your house, it will be 5 times as old as it is now. If you have 28 years left on the mortgage, how old is the house now?

Answers

Well this will depend on if you have a 30 year mortgage and if there is 28 years left you paid 2 years only. 0.214

Is this the correct sum, be honest pls.

Answers

Answer:

the answer is B. the sum will be close to ½

½= 14/28

1/4 + 2/7

= (7+8)/28

= 15/28

so, the answer is B

Step-by-step explanation:

hope it helps you

brainliest plz

Please help and answer both of the questionssss

Answers

Answer:

(n + 6) / -4 = 10

n + 6 = 10 × -4

n + 6 = -40

n = -40 - 6

n = -46

(n - 2) / -3 = -6

n - 2 = -6 × -3

n - 2 = 18

n = 18 + 2

n = 20

Step-by-step explanation:

brainliest plz

sin⁻¹(-[tex]-\frac{\sqrt{3} }{2}[/tex]

Answers

Answer:

240,300

[tex] \frac{4\pi}{3} . \: \: \frac{5\pi}{3} [/tex]

Choose the number sentence that illustrates the distributive property of multiplication over addition.
A. 2 × (6 + 9) = (2 × 6) + 9
B. 2 × (6 + 9) = (2 × 6) + (2 × 9)
C. 2 × (6 + 9) = (2 + 6) × (2 + 9)

Answers

The answer is B It basically just expressing the 2×(6+9)

The expression 2 × (6 + 9) = (2 × 6) + (2 × 9) represents the distributive property option (B) is correct.

What is distributive property?

The distributive property is the property that expresses the distributive law of algebraic multiplication. Similarly, in polynomial expression we can use the distributive property, for example we can write a(c+b)  in the form of (ac+bc).

We have an expression:

= 2 × (6 + 9)

After applying the distributive property:

= (2 × 6) + (2 × 9)

= (12) + (18)

= 30

Thus, the expression 2 × (6 + 9) = (2 × 6) + (2 × 9) represents the distributive property option (B) is correct.

Learn more about the distributive property here:

brainly.com/question/5637942

#SPJ2

Jaden goes to dinner with his family. Their total bill comes to $52.25. They received
great service, so they decide to leave a 20% tip. How much should they leave for a
tip?
$16.12
$1.05
$10.45
$2.61

Answers

Answer:  $10.45  (choice C)

Work Shown:

20% = 20/100 = 0.20

20% of 52.25 = 0.20*52.25 = 10.45

side note: The total cost, including the tip, is 52.25+10.45 = 62.70 dollars

. A store is going to mark down all of their items by 33%. The cost of a computer you really want is $750. How much will the computer get marked down?

Answers

Answer:

$247.50

Step-by-step explanation:

33/100x750=247.50

Since 33% in a fraction is 33/100, use that x 750 and you will get how much the computer gets marked down.

Hope this helps! Thanks.

Adjoa’s gross salary for last month was Ghc4,687.24. If Ghc421.78 was deducted from Adjoa’s salary pay, how much take-home pay did Adjoa earn this past month?

Answers

Adjoa take-home pay earned for the past month is Ghc4,265.46

From the question,

We are to determine the amount of take-home pay Adjoa earn the past month

From the given information, we have that

Adjoa’s gross salary for last month was Ghc4,687.24

Also

Ghc421.78 was deducted from Adjoa’s salary pay

To determine how much take-home pay Adjoa earn the past month,

We will subtract the amount deducted from Adjoa’s salary pay from Adjoa’s gross salary for last month

That is,

Adjoa take-home pay = Ghc4,687.24 - Ghc421.78

Adjoa take-home pay = Ghc4,265.46

Hence, Adjoa take-home pay earned for the past month is Ghc4,265.46

Learn more here: https://brainly.com/question/17336888

the differentiation of x^4 + y^4=0 is..?​

Answers

Answer:

I am doinnnnnmngggg gggg

2(x-3)< 8 or x+5> 6

Solve the compound inequality

Answers

Answer:

1 < x < 7

Step-by-step explanation:

1. Solve for 2(x - 3)

Step 1: Simplify both sides of the equation.

[tex](2)(x)+(2)(-3)<8[/tex] [tex]2x - 6 < 8[/tex]

Step 2: Add 6 to both sides.

[tex]2x - 6 + 6< 8 + 6[/tex] [tex]2x < 14[/tex]

Step 3: Divide both sides by 2.

[tex]\frac{2x}{2} <\frac{14}{2}[/tex] [tex]x< 7[/tex]

2. Solve for x + 5 > 6

Step 1: Subtract 5 from both sides.

[tex]x + 5 - 5 > 6 - 5[/tex] [tex]x > 1[/tex]

3. Now that we know x is more than one but less than 7, we can write the solution as this: 1 < x < 7.

Therefore, the answer is 1 < x < 7.

Answer: 1. Solve for 2(x - 3) Step 1: Simplify both sides of the equation. Step 2: Add 6 to both sides. Step 3: Divide both sides by 2. 2. Solve for x + 5 > 6. Step 1: Subtract 5 from both sides.

Step-by-step explanation:

I need help please hurry<343

Answers

Answer:

42 inches

Step-by-step explanation:

1. To convert feet into inches, multiply the # of feet by 12.

[tex]3\frac{1}{2}*12[/tex] [tex]\frac{7}{2} *12[/tex] [tex]\frac{84}{2}[/tex] [tex]42[/tex]

Therefore, 3 1/2 feet in inches is 42 inches.

Answer:

42 inches

Step-by-step explanation:

3.5 feet x 12 inches = 42 inches

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