Find three consecutive integers such that the sum of the first and third is 22? need help with it

Step-by-step explanation:

Let us take ratio constant as 'x'

Therefore ratio of angles

3x:5x:9x:13x

Sum of interior angles of quadrilateral is 360 degree.

3x+5x+9x+13x=sum of interior angles of quadrilateral

=>3x+5x+9x+13x=360

=>30x=360

=>x=12

Answer: Every 12 months (aka once a year)

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Explanation:

List out the multiples of 4 and 3

Multiples of 4 = {4, 8, 12, 16, 20, 24, ...}

Multiples of 3 = {3, 6, 9, 12, 15, 18, 21, 24, ...}

The terms in bold are the common multiples between the two lists. The smallest or lowest common multiple (LCM) is 12. Every 12 months, or every 1 year, Tiki gets her hair cut and a new shirt in the same month.

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A shortcut to find the LCM is to multiply the values 4*3 = 12. This only works when the GCF of the two original numbers is 1.

Answer:

22.3

Step-by-step explanation:

divide 13/7 = 1.86

multiply 1.86x12 = 22.3

Answer:

5/6 and 75 1/3%

Step-by-step explanation:

8 1/3 = 25/3

25/3 pages of a book in 10 minutes

Multiply both numbers by the reciprocal of 10, which is 1/10

25/3 x 1/10 = 25/30 = 5/6

So, Charlotte reads 5/6 pages of a book in 1 minute.

Which is equal to 75 1/3%

hope this helps! :)

Answer:

A is the answer

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

circumference of about 5 ft means perimeter of 5 ft.

every full circle the wheel rotates it goes 5 ft

So 40 ft divided by 5 ft is 8

8 rotates

Answer:

8

Step-by-step explanation:

Answer:

t = (D/C - 1) (100/r)

Step-by-step explanation:

D = C(1+rt/100)

D/C = 1 + rt/100

D/C - 1 = rt/100

D/C - 1 = t (r/100)

Therfore,

Therefore the last option is correct.

Answer: t = (D/C - 1) / r/100

Step-by-step explanation:

Answer:

100 feet.

Step-by-step explanation:

The minimum perimeter of a rectangle with fixed area is always a square.

Length of square = √625 = 25.

Perimeter of square = 4 * 25 = 100 feet.

Answer:

3,3

Step-by-step explanation:

Answer:

Step-by-step explanation:

The term "about the origin" means that the origin is "the center of rotation".

Our coordinate right now is (3, 2).

90 degrees clockwise means we need to rotate to the left by 90 degrees. So if you rotate your image:

We now get (2, 3).

(I had some trouble reading the numbers, I'm reading them as (1, 2, 3, 4, 5,) for the X and Y axis, I hope I read them right.)

Answer:

-23 31/40

Step-by-step explanation:

Answer:

2.

Step-by-step explanation:

12 + (-16) + 24 - 18

= 36 - 34

= 2.

The value of the expression 12+(-16)+24-18 is 2, which can be computed using the commutative property.

The commutative property signifies that the order of terms in mathematical expressions does not matters. It applies only to addition and multiplication operations, and not to subtraction and division operations.

In the question, we are asked to evaluate: 12 + (-16) + 24 - 18.

By using the commutative property, we can write the expression

12 + (-16) + 24 - 18, as

= 12 + 24 + (-16) - 18

= 12 + 24 -16 - 18

= 36 - 34

= 2

∴ The value of the expression 12+(-16)+24-18 is 2, which can be computed using the commutative property.

Learn more about the commutative property at

https://brainly.com/question/778086

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Answer:

240000 cm^3

Step-by-step explanation:

For this problem, we need to know that 1 meter is equivalent to 100 centimeters.  With this in mind, we can use the equation:

Volume = Length x Width x Height

Volume = 200cm x 40cm x 30cm

Volume = 240000 cm^3

Cheers.

Answer:

-3

Step-by-step explanation:

-6-(-3)

=>-6+3

=>-3

Answer:

a. -3

Explanation:

-6+3

-3

The image point of A ( -7 , 4 ) after a translation of left by 3 units and up by 5 units is ( -10 , 9 )

What is Translation?

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.

Given data ,

Let the point be A ( x₁ , y₁ ) be = A ( -7 , 4 )

Now , the translation of point A ( -7 , 4 ) by left 3 units is

A ( -7 - 3 , 4 )

Now , the new point after the translation by left 3 units

A' ( -10 , 4 )

And the translation of point A' ( -10 , 4 ) by up 5 units is

A'' ( -10 , 4 + 5 )

Now , the new point after the translation up by 5 units is

A'' ( -10 , 9 )

So , the image after the translation of left by 3 units and up by 5 units is

A'' ( -10 , 9 )

Hence , the image after translation is is A ( -10 , 9 )

To learn more about translation click :

https://brainly.com/question/19007400

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Answer:

it is easy use the formula of triangle which is 1/2(base × height) and base is the side where the height touches and height means the perpendicular line.

And in some cases there may be the use of pythagoras theorem

Answer:

1/2 (9)3.1 = 13.95

1/2 (6)5.5 = 16.5

1/2 (12)4.4 = 26.4

1/2 (4)6.7 = 13.4

Answer:

Your number is 0.5, 2/4, or 1/2

Step-by-step explanation:

You need to set up your equation and then solve for x. We know that quadruple your number (x) plus 7 equals -5. Quadruple your number is the same as multiplying by 4. So it would be 4x + 7 = -5. We add seven to both sides and that would leave us with 4x = 2. Then we divide both sides by 4 to get x on it's own. x = 2/4 or 1/2

Answer:

- 4/5

Step-by-step explanation:

Step 1:

n + 7/10 = - 1/10

Step 2:

n = - 1/10 - 7/10

Answer:

n = - 4/5

Hope This Helps :)

Answer:

The time it will take to get to the bowling alley while driving at 65 mph on the freeway is approximately 20.8 minutes

Step-by-step explanation:

The given parameters are;

The time it takes through the streets to drive to the nearest bowling alley = 45 minutes

The speed of driving through the streets = 30 miles per hour (mph)

The speed of driving through the freeway to the bowling alley = 65 mph

From the speed of driving through the streets and the time taken we have;

The formula for speed, S, is S = Distance/Time

Therefore, 30 mph = Distance/45 minutes

Where, 1 hour = 60 minutes, 45 minutes = 1/60×45 hour = 3/4 hour

30 mph = Distance/45 minutes = Distance/(3/4 hour)

30 mph = Distance/(3/4 hour)

Distance = 30 mph × 3/4 hour = 22.5 miles

Given that the distance through the freeway and through the streets are the same, we have from speed = Distance/Time;

Time = Distance/Speed

The speed through the freeway = 65 mph while the distance remain 22.5 miles

Therefore;

Time = 22.5 miles/(65 mph) ≈ 0.346 hour ≈ 20.8 minutes

The time it will take to get to the bowling alley while driving at 65 mph on the freeway is approximately 20.8 minutes.

Answer:

Step-by-step explanation:

Part A;

[tex]\frac{3.9\times10^3^3}{1} = \frac{x}{1.44\times 10^7} \\Cross\Multiply\\x = 3.9\times 10^3^3 \times 1.44 times 10^7\\\\x = 6.045\times 10^4^0[/tex]

Part B ;

[tex]1.435 \times 10^3 \:mm = 1.4\m\\1.435 \times 10^-^3\: mm = 0.001435\m[/tex]

The more reasonable one is 1.4m .0.001435 is too small(its not even up to 1)

Answer:

1.2675 × 10^37. 

Step-by-step explanation:

you would have to multiply 3.9 x 3.25= 12. 675 and it is not in scientific notation so you would do 1.2675 x 10^37

Hope it helps!

Answer:

67

Step-by-step explanation:

you need to get 180 degrees, so 67 plus the 113 should get your answer

Answer:

6x5.04 =30.24

Step-by-step explanation:

I just multiplied.

Answer:

46

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Answer:

C. QRT and TRQ

Answer:

4

Step-by-step explanation:

let the number=x

8x-7=25

8x=25+7

8x=32

x=32/8=4