The sum of three consecutive integers is 174. What are the​ integers?

Answer:

This will be rational.

Step-by-step explanation:

Keep in mind that a rational number is (of a number, quantity, or expression) expressible, or containing quantities that are expressible, as a ratio of whole numbers. When expressed as a decimal, a rational number has a finite or recurring expansion.

Answer:

24x

Step-by-step explanation:

Calculate the product

8 and 10

(8x-2x)-(-10x-8x)

Collect like terms

(6x)-(-18x)

Remove any unnecessary parentheses

6x-(-18x)

When there is a - in front of an expression in parentheses, change the sign of each term in the expression

6x+18x

Collect like terms

24x

Answer = 24x

Answer:

y= 52, x = 5

Step-by-step explanation:

since A = 52 degrees its the same on the otherside

so y= 52

to work out x:

(14x + 6) + 52 + 52 = 180 (sum of all angles in a triangle)

(14x + 6 ) + 104 = 180

14x +6 = 76

14x = 70

x = 5

Answer:

85 beats per minute

Step-by-step explanation:

khan academy

Answer:

70 percent. good luck. have a great day

Answer:

70%

Fraction to percent conversion table

Fraction   Percent

6/10             60%

7/10             70%

8/10             80%

9/10             90%

Answer:

4x2 − 3x = 0

Factorization:

x(4x − 3) = 0

Solutions based on factorization:

x = 0   ⇒   x1 = 0

4x − 3 = 0   ⇒   x2 = 34 = 0.75

hope this helps if wrong sorry

Step-by-step explanation:

Answer:

Hello why you thank me I have not given answer

3²

Hi there !

3⁻⁶ ₓ (3⁴ : 3⁰)² =

= 3⁻⁶ ₓ (3⁴ ⁻ ⁰)²

= 3⁻⁶ ₓ (3⁴)²

= 3⁻⁶ ₓ 3⁸

= 3⁻⁶⁺⁸

= 3²

use

aⁿ : aᵇ = aⁿ ⁻ ᵇ

(aⁿ)ᵇ = aⁿˣᵇ

aⁿ ₓ aᵇ = aⁿ⁺ᵇ

Good luck !

Answer:

fff

Step-by-step explanation:

ffcfgg

Answer:

To find the square root of any number you must see what the number that you are trying to find the square of then you look at it and think what number times itself equals this number that you are trying to find the square root of the you solve it...

But in this case you have to divide 8 by 2 then find the square root of 4 which is 2

So there is your answer, Hope this helps:)

Step-by-step explanation:

Well, the answer is 2.

Answer:

If the line RS has been rotated 90 degrees, then VU will be perpendicular to RS and the two slopes must be opposite and reciprocal, i.e. product of the two slopes will equal -1.

As a verification, we find the locations of V and U from rotations of R & S.

(actually, the triangle had been rotated -90°, 90 ° clockwise)

Step-by-step explanation:

Slope RS, m1:

Slope VU, m2

Hence m1*m2=1*-1=-1, meaning that m1 and m2 are opposite (in sign) and are reciprocal to each other, as expected

The lines RS and VU have the opposite and reciprocal slopes because                               Slope of QRS is 1, where as Slope of TVU is -1

Slope of a triangle represents the angle that are formed between positve X-axis moving anticlockwise towards y-axis.

RQ=3

SQ=3

 slope (Tan∅)=[tex]\frac{perpendicular}{base}[/tex]

                       =RQ/SQ

                        =3/3 =1

           TanФ=45°

UT=3

VT=-3

 slope (Tan∅)=[tex]\frac{perpendicular}{base}[/tex]

                       =UT/VT

                        =3/-3 =-1

           TanФ=135°

Slope of QRS is 1, where as

Slope of TVU is -1

∴ RS and VU have the opposite and reciprocal slopes.

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Answer: x = 75/2

Step-by-step explanation:

First, separate the 1/3d and 10 by subtracting 1/3d to the right side so the equation is now: 10 = 3/5d - 1/3d

Next, Make the two fractions have a common denominator: (3/5 = 9/15) and (-1/3 = -5/15) and solve to get 4/15x

Then, your equation should be 10= 4/15x

So now multiply the 10 by 4/15's reciprocal (15/4) to get the variable x by itself: 10 × 15/4 or

(10×15) / (4×1) to get x = 150/4 now simplify

4 can go into 150 twice so the simplified answer is 75/2 or 37.5 in decimal form

Answer:

-5

Step-by-step explanation:

-3-2=-5

Answer:

20 games

Step-by-step explanation:

Part A:

45 = 14.75 + 1.50g

Part B:

45 - 14.75 = 30.25

30.25/1.5 = 20.1666666666667

20 is the maximum number of games he can play.

Answer:

4

Step-by-step explanation:

g(x) = 3(x-2)

g(x) = 6

6 = 3(x-2).     3(x-2) = 3x-6

So the final answer is x = 4

Answer:

-5.17 , 5 , 6 , 26 , 33 , 37

Step-by-step explanation:

the negative numbers are usually the least . All u had to do was put the other numbers from least to greatest <3

- Mark me brainliest !

Answer:

- 5.17

5

6

26

33

37

hope this helps :)

Answer:

Logic puzzles use grids to help you make eliminations based on deciphering the truth in the clues provided.

We can use the method to solve a logic puzzle is;

''Logic puzzles use grids to help you make eliminations based on deciphering the truth in the clues provided.''

Here,

We have to find a method to solve the logic puzzle.

What is Logic puzzle?

A problem that can be solved through the deductive reasoning is called Logic puzzle.

Now,

To solve a logic puzzle we can use grids which help to make eliminations based on deciphering in providing the truth in the clues.

Hence,

We can use the method to solve a logic puzzle is;

⇒ 'Logic puzzles use grids to help you make eliminations based on deciphering the truth in the clues provided.'

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Answer:

The image of [tex]D[/tex] must lie on the ray [tex]BA[/tex], since ray [tex]BA[/tex] is antiparallel to ray [tex]BD[/tex]. That is, the angle between both rays is 180 degrees.

Step-by-step explanation:

Let be [tex]D'[/tex] the image of [tex]D[/tex] such that [tex]D[/tex] is rotated 180 degrees counterclockwise with [tex]B[/tex] as center of rotation.

[tex]D'[/tex] must lie on the ray [tex]BA[/tex], since ray [tex]BA[/tex] is antiparallel to ray [tex]BD[/tex]. That is, the angle between both rays is 180 degrees.

Answer:

The slope is y=-8x+13

A point would be (0,13)or (3,-11)

Step-by-step explanation:

Answer:

slope: -8 point: (1,-5)

Step-by-step explanation:

point slope form is: y - y₁ = m(x - x₁)

y - 5 = -8(x - 1)

the point would be (1,-5)

y - 5 = -8(x-1)

the slope would be -8

[tex]\tt Step-by-step~explanation:[/tex]

[tex]\tt Area:[/tex]

To solve for the area of a triangle, we multiply the length and height, then divide that by two. L = 10. H = 7.

[tex]\tt 10*7=70\\70/2=35\\35=A[/tex]

[tex]\tt Perimeter:[/tex]

[tex]\tt Step~1:[/tex]

To solve for the perimeter, or edges, of the triangle, we need to use the Pythagorean Theorem: a² + b² = c² to solve for the third side. We already know two measures: 10 and 7. Now we need to square them, add them together to get c², then take the root of that number.

[tex]\tt 7^2=49\\10^2=100\\100+49=\sqrt{149}\\\sqrt{149[/tex]

We cannot simplify √149, so we either leave it, or round it.

[tex]\tt \sqrt{149}\\12.2066[/tex]

This is rounded to the nearest 10,000.

[tex]\tt Step~2:[/tex]

Now that we have the measure of the longest side, we can add all three sides together to get the perimeter of the triangle.

[tex]\tt 10+7+\sqrt{149}=17+\sqrt{149}=P\\Rounded~to~the~nearest~1,000th:~29.207=P[/tex]

[tex]\large\boxed{\tt Our~final~answer: ~A=35,~P=17+\sqrt{149}}[/tex]

Answer:

$215.25

Step-by-step explanation:

Answer:

Cat = 6kg

Dog = 18kg

Step-by-step explanation:

Total mass combine = 24 g

dog = 3 x c

cat = c

the cat is 6kg and the dog is 18kg

The mass of the dog and cat are 18 kg and 6 kg respectively

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the mass of the cat be = x

And , mass of dog = 3x

x + 3x = 24

On simplifying the equation , we get

4x = 24

Divide by 4 on both sides , we get

x = 6 kg

So , the mass of cat is 6 kg

And , the mass of dog is 18 kg

Hence , the equations are solved

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Answer:

7

Step-by-step explanation:

factors of 63-1,3,7,9,21,63

factors of 14-1,2,7,14

Answer:

n = -20

Step-by-step explanation:

n - 8 = 2n+12 (equation)

  +8         +8

n = 2n +20

-2n   -2n

-n = 20

/-1    /-1  

n = -20

Answer:

Step-by-step explanation:

Answer:

2029

Step-by-step explanation:

5 x 6 - 7 + 513 x 4

30 - 7 + 2052

30 - 2059

2029

Answer: vw=r

Step-by-step explanation:

Got it right on the test

Answer:I think it's C although I might be wrong

Step-by-step explanation:

Answer: B

Hope this helps :)

Answer:

=7y2−5x−z

Step-by-step explanation:

Question 1:

We are going to add.

1/5 + 1/2

2/10 + 5/10

7/10

Note that we are going DOWN so the number will be negative.

Therefore, the answer is A.) -7/10

Question 2:

We are going to subtract.

4 1/2 - 1 2/3

9/2 - 5/3

27/6 - 10/6

17/6 or 2 5/6

Note that we are still BELOW sea level so the number will be negative.

Therefore, the answer is C.) -2 5/6

Question 3:

We are going to subtract.

2 2/3 - 1 1/5

8/3 - 6/5

40/15 - 18/15

22/15 or 1 7/15

Therefore, the answer is B.) 1 7/15

Best of Luck!

Answer:

Domain {x : x  > 1}

Range {y : y ∈ R}

Vertical asymptote x = 0

x-intercept (1, 0)

End behavior consistent

Graph attached down

Step-by-step explanation:

Let us study the equation:

∵ y = log(x)

→ It is a logarithmic function, so no negative values for x

∴ Its domain is {x : x  > 1}

∴ Its range is {y : y ∈ R}, where R is the set of the real numbers

→ An asymptote is a line that a curve approaches, but never touches

∵ x can not be zero

∴ It has a vertical asymptote whose equation is x = 0

→ x-intercept means values of x at y = 0, y-intercept means

   values of y at x = 0

∵ x can not be zero

∴ There is no y-intercept

∵ y can be zero

∴ The x-intercept is (1, 0)

→ The end behavior of the parent function is consistent.

   As x approaches infinity, the y-values slowly get larger,

   approaching infinity

∵ y = log(x) is a parent function

∴ The end behavior is consistent

→ The graph is attached down