What is the least common multiple of 9 and 12? Enter your answer in the box.

5 = 30/54 * x

30x = 5 * 54 = 270

x = 9

Hey there!

5/x = 30/54

FIRST: CROSS MULTIPLY the EQUATION

5 * 54 = x * 30

5 * 54 = 30 * x

270 = 30x

30x = 270

SECOND: DIVIDE 30 to BOTH SIDES

30x/30 = 270/30

CANCEL out: 30/30 because it give you 1

KEEP: 270/30 because it help solve for the x-value

NEW EQUATION: x = 270/30

THIRD: SIMPLIFY IT!

x = 9

Therefore, your answer is: x = 9

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

1.43 ounces

Step-by-step explanation:

384 / 60 = 6.4

7.83 - 6.4 = 1.43

The equation is correct, and the value on both sides of the equation is 40.

To verify if the equation 90 × 4/9 = 40 is true, we can perform the calculation on both sides and compare the results.

On the left side of the equation:

90 × 4/9 = (90 × 4) / 9 = 360 / 9 = 40

On the right side of the equation:

40

Both sides of the equation evaluate to 40, which means they are equal. Therefore, the equation 90 × 4/9 = 40 is indeed true.

In summary, the equation is correct, and the value on both sides of the equation is 40.

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Answer:

three

Step-by-step explanation:

stem. is the tens place and the leaf is the. ones place

so you want to find 68 so you look in the stem column and look for six

in the row there are 6 numbers which mean:

60, 61, 67, 68, 68, 68

as you can see there is three 68 there for the answer ths 3

Answer:

D

Step-by-step explanation:

The surface area of the rectangular prism is 396 square inches

He will need 504 tlles

From the question, we have the following parameters that can be used in our computation:

7 in by 12 in by 6 in

The surface area of the rectangular prism is calculated as

Area = 2 * (7 * 12 + 7 * 6 + 12 * 6)

Evaluate

Area = 396

Hence, the area is 396 square inches

The number of tiles is 7 * 12 * 6 = 504

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Question

wants to tile the surface of a rectangular storage case that is 7 inches​ long, 12 inches​ wide, and 6 inches tall. If he uses all green​ tiles, how many tiles will he​ need?

Answer:

y = -8/3, z = -1

Answer:

translation

hope this helps:) !!

Answer:

A. 2.5

B. 56 |\ 77

C. 15 /| 9

The dimensions of the rectangular garden which minimize the cost is equal to 9.6ft and 14.6ft respectively.

As given in the question,

Cost of brick wall is equal to $40/ft

Cost of metal fencing is equal to $20/ft

Let 'x' and 'y' are the dimensions of the rectangular garden

Area of the rectangular garden = 142 square feet

⇒ 142 = xy

⇒x = 142/y

Costing of four side fencing 'C' = 40x + 20x + 20y + 20y

⇒ C = 60x + 40y

⇒C = 60(142/y) + 40y

⇒C = 8520/y + 40y

Differentiate with respect to y

dC/dy = -8520/ y² + 40

Put dC/dy = 0

-8520/ y² + 40 = 0

⇒y² = 8520/40

⇒y = √213

⇒ y= 14.6 ft

⇒ x= 142/14.6

     = 9.7 ft

Therefore, the dimensions of the rectangular garden with the given area which minimize the cost is equal to 14.6ft and 9.7ft.

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Answer:

29 degrees

Step-by-step explanation:

Note how both triangles are isosceles triangles, which mean two angles will be equivalent. In the triangle with the marked angle measurement, since the total of angles in a triangle is 180, then the measurement of the unmarked angles have a sum of 180-64, which is 116. Then, as stated before, this triangle is isosceles, so the measurement of each unmarked angle is 116/2, which is 58.
Next, notice how the angle below angle x in that triangle shares a line with one of the 58 degree angles. This means that angle is 180-58, which is 122. Now, since the total of angles in a triangle is 180 and the triangle is isosceles, then angle x is (180-122)/2, which is 58/2, or 29 degrees

9514 1404 393

Answer:

  >180° (more than 180°)

Step-by-step explanation:

Angles are classified as ...

It seems that we're looking at definitions:

  obtuse : >90° :: reflex : >180°

Answer:

36.3636364%

or 36.36

Step-by-step explanation:

Answer:

its 1.944

Step-by-step explanation:

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. The formula used to calculate percentage is: (value/total value)×100%.

The speed limit for the highway in rounded to the nearest whole is 33 mi/h.

The speed is the ratio of the distance in a given time interval. The distance is represented by a unit of length and the time is represented by a unit of time.

There are different units for the length or distance. In the International System Units (SI), the standard unit of distance is the meter (m) and the standard unit of time is the second (s). Nonetheless, there are others units, for example: inches (in), miles (mi) and  yards (yd).

For solving this exercise, you need to know the relation between the given units for distance and time.

The question gives - 100 km/h. The kilometer (km) is a multiple of the  standard unit of distance -  the meter (m) and the hour is a submultiple of the  standard unit of time  - the second (s)

For solving this question, it is necessary that you know the relation between km/h and mi/h. See  below.

\(\text{1 km/h}= 0.6213712 \ \text{mi/h}\)

Now you can solve the question from a math tool - Rule of three. Thus,

\(\text{1 km/h}= 0.6213712 \ \text{mi/h}\)

\(100 \ \text{km/h}= \text{x mi/h}\)

\(\text{x}= 100 \times 0.6\)

\(\text{x}=33 \ \text{mi/h}\)

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Answer:

1. 43, 45, and 47

2. 50, 52, and 54

3. 47 years old

4. 106 degrees

5. 66 degrees

Step-by-step explanation:

1. Let's assume that the first number in the three consecutive odd numbers is x.

We can write an equation to express this now. \(x + (x+2) = (x+4) + 41\).

Combining like terms, we get \(2x+2 = x+45\). Subtracting by (x+2) on each side, we get \(x = 43\). Since the smallest number is 43, we can find the two larger numbers as well, since they are 2 more than one another. Therefore, the numbers are 43, 45, and 47.

2. Let's assume that the first number in the three consecutive even integers is x.

We can write an equation to express this now. \(x + (x+2) = (x+4)+48\)

Combining like terms, we get \(2x+2 = x+52\). Subtracting by (x+2) on each side, we get \(x = 50\). Since the smallest number is 50, we can find the two larger numbers as well, since they are 2 more than one another. Therefore, the numbers are 50, 52, and 54

3. We can write his current age in years as x. Next year, his age will be x+1. We know that the sum of his current age and his age next year is 73, so we can write an equation to express this.

\(x + (x+1) = 73\). Therefore, 2x + 1 = 73, or 2x = 72. This means that x = 36, or his current age is 36. In 11 years, his age will be 36 + 11 = 47 years old.

4. \((21x+1) + (14x+4) = 180\). Combining like terms, we get \(35x + 5 = 180\) Subtracting by 5 on both sides, we get \(35x = 175\) This means that \(x = 5\). Now, we can find the degree measures of both angles and find the larger one. The degree measure of the angle on the left is 21(5) + 1 = 106 degrees, and the degree measure of the angle on the right is 14(5) + 4 = 74 degrees. Therefore, the degree measure of the larger angle is 106 degrees.

5. We know that the sum of the angles in a triangle is 180 degrees. Therefore, we can sum the angles up and equate them to 180 degrees.

(x-24) + (2x-108) + (1/3x+12) = 10/3x - 120 = 180. Adding 120 to both sides, we get 10/3x = 300. Multiplying both sides by 3/10, we get x = 900/10 = 90. Therefore, plugging in x = 90, we get 66 degrees.

The size of a patch on a surface is determined by its area. The area of the wall is 36 square feet, which is option E.

To find the area of the wall, we need to calculate the area of the trapezoid shape. The formula for a trapezoid's area is:

Area = \((a + b) * h / 2\)

where a and b are the lengths of the parallel sides and h is the height of the trapezoid.

In this case, the parallel sides are the top and bottom of the wall, which are both 6 feet long. The height of the wall is also 6 feet. So we can plug these values into the formula:

Area = \((6 + 6) * 6 / 2\)

Area = \(12 * 3\)

Area = 36 square feet

Therefore, the area of the wall is 36 square feet, which is option E.

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You invested $12,000 in the company when you originally started it. Additionally, you borrowed $12,000 for a five-year (long-term) loan and paid back $2,018 of it.

Businesses, a noun in plural. a group of people who are connected or who have joined together. a guest or guests: We're having people over for dinner. a collection of individuals together for social purposes. association, camaraderie, and fellowship She is a lot of joy to be around.

The Old French word "compagnie," which was first used in the Salic code and meaning "one who eats bread with you," is where the English word "company" originates. To describe a "society, friendship, closeness, or body of troops," it was first used in 1150.

You invested $12,000 in the company when you originally started it. Additionally, you borrowed $12,000 for a five-year (long-term) loan and paid back $2,018 of it.

Total Amount to be when start the company is $12000 + $12000

= $24000

Out of which company owns land and a building worth $8,878 and equipment worth $4,230 and have retained $1,291 in earnings to be reinvested in the company, and you decided to put $1,000 of it aside for a long-term investment.

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The domain of the expression is all real numbers except where the expression is undefined.

In order to identify the values of the independent variable x and acquire the domain, we simply solve the equation y = f(x). Simply put, x=g(y) will calculate the function's range after we identify g's domain (y).

Mathematical procedures are comparable to those of a soda vending machine. You can choose from a variety of sodas after you deposit a particular sum of money.

Similar to how we enter different numbers into functions, we also receive new numbers as the outcome. The two essential characteristics of functions are domain and range. A soda can be purchased using quarters and one dollar bills. If pennies are put into the machine, no soda flavour will be provided.

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The total amount of sugar that was consumed by Kylie in the past nine (9) days is equal to 3 units of sugar.

In Mathematics and Statistics, a line plot refers a type of graph that is used to graphically represent a data set above a number line, while using crosses, dots, or any other mathematical symbol.

Based on the data and information provided in the line plot shown in the image attached above, we can calculate the total amount of sugar that was consumed by Kylie in the past nine (9) days as follows:

Total sugar consumed = (1/8 + 1/8 + 1/8) + 1/4 + (3/8 + 3/8 + 3/8) + (5/8 + 5/8)

Total sugar consumed = 3(1/8) + 1/4 + 3(3/8) + 2(5/8)

Total sugar consumed = 3/8 + 1/4 + 9/8 + 10/8

Total sugar consumed = 22/8 + 1/4

Total sugar consumed = (22 + 2)/8

Total sugar consumed = 24/8

Total sugar consumed = 3 units of sugar.

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Answer:

  D.  54 feet

Step-by-step explanation:

One side will be 1/10 of the total length of all 10 sides.

  (1/10)(540 ft) = 54 feet . . . length of one side

The used values are;

p = $10,000

r = 3.3%

n = 9 years

And, The amount after 9 years will be $14,593.

What is Simple interest?

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Given that;

A bank features a savings account that has an annual percentage rate of r = 3.3% with interest compounded quarterly.

And, Maia deposits $10,000 into the account.

Now,

Since, The interest rate is for compounded quarterly.

So, The used formula is,

⇒ \(A = P (1 + \frac{r}{4} )^n^t\)

Here, P = $10,000

r = 3.3% = 0.033

n = 4

t = 9

Substitute all the values, we get the amount after 9 years,

⇒ \(A = P (1 + \frac{r}{4} )^n^t\)

⇒ A = $10,000 (1 + 0.033/4)³⁶

⇒ A = $10,000 (1 + 0.008)³⁶

⇒ A= 10,000 × (1.008)³⁶

⇒ A = 10,000 x 1.45

⇒ A = $14,593

Thus, The amount after 9 years will be $14,593.

Therefore, The used values are;

p = $10,000

r = 3.3%

n = 9 years

And, The amount after 9 years will be $14,593.

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Answer:

B is the correct answer of this question

Answer:

9/676

Step-by-step explanation:

Since there are 26 skittles altogether, the probability of selecting a blue skittle is 3/26, and the probability of selecting a yellow skittle is 3/26.

Since the question requires both a blue ball and a yellow ball to be selected, and the blue must be selected first and then the yellow, the probability is

(3/26) x (3/26) = 9/676

Answer:

The temperature change is 23 because 18 - (-5)=23

Step-by-step explanation:

A statistical question that can result in numerical data is How many times did you go swimming this year? So, the correct option is A).

The statistical question that can result in numerical data is "How many hours this week did you spend on homework?" and "How many times did you go swimming this year?".

These questions involve counting or measuring quantities, which can be represented using numerical data. The other two questions do not involve numerical data and therefore cannot be considered statistical questions that result in numerical data. So, the correct answer is B).

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Answer:

How many pink erasers do the students in your class have?

The area that was removed from the shape was 3.9 square inches, and the remaining area is 50.1 square inches. (None of the options given)

The area of the parallelogram is given by the formula A_p = b * h, where b is the base and h is the height. In this case, the base is 2 feet or 24 inches, and the height is 2.25 inches. Therefore, the area of the parallelogram is:

A_p = b * h = 24 inches * 2.25 inches = 54 square inches

Next, we compute the area of the cut-out rectangle. The area of a rectangle is given by the formula A_r = L * W, where L is the length and W is the width. In this case, L = 3 inches and W = 1-5/8 inches.

A_r = L * W = 3 inches * 1-5/8 inches

A_r = 3 inches * 13/8 inches

A_r = 3.9 square inches

Therefore, the area that was removed from the parallelogram is 3.9 square inches.

To find the remaining area of the parallelogram that was not cut-out, we simply subtract the area of the cut-out rectangle from the area of the parallelogram:

Remaining area = Area of parallelogram - Area of cut-out rectangle

Remaining area = 54 square inches - 3.9 square inches

Remaining area = 50.1 square inches

None of the answer options provided matches with the correct calculation above.

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Answer:

A= l×l

= 13×13

A= 169

P= 4l

= 4×13

= 52

so the answer is C