What is the least common denominator of the equation ? 2/9x+2/3x=7

For the quarts to cups:

First, you need to figure out how many cups are in 1 quart. This is 4 cups = 1 quart.

If you have 4 cups in one quart then you need to multiply 4 cups by 5 quarts which equals 20 cups.

For the cups to gallons, you first need to find out how many cups are in 1 gallon. This is 16 cups = 1 gallon.

If you have 16 cups in 1 gallon then you will need to multiply 48 cups by 16 to find out how many gallons you will have which equals 3 gallons.

Hope this helps.

Final answer:

To determine the ways to receive change for a ten-dollar bill when you have spent $9.74, you need to consider the coin denominations that sum up to the remaining $0.26. This is a combinatorial problem known as the 'coin changing problem,' which involves calculating the combinations of coins that can be used to make up the remaining change.

Explanation:

To calculate how many ways you can receive change for a ten-dollar bill, you would need to consider the different denominations of U.S. currency and how they could combine to total the difference between your purchase amount of $9.74 and a $10 bill, which is $0.26.

The ways you can receive change can include a combination of quarters, dimes, nickels, and pennies.

To model this as a mathematical problem, let's calculate the different combinations: You could receive one quarter and one penny, or two dimes and six pennies, or one dime, one nickel, and eleven pennies, and so on.

Since the question asks for the number of ways to receive change and not the specific combinations, we can use combinatorics to determine the total number of combinations.

Note:

Since the actual calculations for combinatorics can be complex and the question does not provide all the necessary details to give a definitive number, we can consider this as an example of a combinatorial problem in mathematics.

The coin changing problem is a classic example that could be applied here, where algorithms can be used to find the number of ways to make change for a certain amount using given denominations.

Answer:

A perfect cube is a number that is the result of multiplying a whole number by itself three times. Check a number by finding the cube root. If the cube root is a whole number, then the number is a perfect cube.

Answer:

you been waiting for your answer since 2017 bru im so sorry LLMA O the answer is 840

Answer:

840

Step-by-step explanation:

30 + 62 + 8 = 100

100 x 12 = 1,200

70 people out of 100 do activities for at least three hours a week.

70 x 12 = 840

100 x 12 = 1,200

840/1,200 in the school are expected to play outdoor games for at least three hours every week.

oml you asked this question in 2017. THATS 5 YEARS AGO

sorry

Answer:

The required inequality that shown in the given graph is [tex]y\geq 2x-2[/tex].

Step-by-step explanation:

Consider the provided graph.

The y-intercept of the line is, (0,-2)

The x-intercept of the line is, (1,0)

To find the equation of line use the formula:

[tex](y-y_1)=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Substitute [tex](x_1,y_1)=(0,-2)\text{and}(x_2,y_2)=(1,0)[/tex]

[tex]y-(-2)=\frac{0-(-2)}{1-0}(x-0)[/tex]

[tex]y+2=\frac{(2)}{1}(x)[/tex]

[tex]y+2=2x[/tex]

[tex]y=2x-2[/tex]

Therefore the equation of line is [tex]y=2x-2[/tex].

The graph is solid line and shaded region is above the line. So, use the inequality sign "≥".

Thus, the required inequality that shown in the given graph is [tex]y\geq 2x-2[/tex].

To find the number of boys at Molly's daycare that are under 1 year old, we can use the given fractions to calculate the answer.

To find the number of boys at Molly's daycare that are under 1 year old, we first need to determine the total number of boys at the daycare. Since 1/8 of the children are boys, we can assume that 1/8 of the total number of children are boys. Let's say there are a total of x children at the daycare. If 1/8 of x represents the number of boys, we can write the equation (1/8) * x = number of boys. Now, we need to find the number of boys that are under 1 year old. Since 2/5 of the boys are under 1 year old, we can write the equation (2/5) * (1/8) * x = number of boys under 1 year old. Simplifying this equation gives us the answer: (1/20) * x = number of boys under 1 year old.

Final answer:

The expression that could potentially yield a prime number when p is substituted with a prime number is 23p + 46, since it results in an odd number.

Explanation:

To determine which of the options could also be a prime number, we need to check each expression by substituting a prime number for p. Since we are looking for a possible prime number, we can start by excluding options that will always result in an even number (which can't be prime unless the value is 2).

We know that any prime number p (other than 2) will be odd, and hence 23p will also be odd. Adding an odd number (45, 47, 49) to an odd number results in an even number, which cannot be prime other than 2. On the other hand, adding an even number (46 or 48) to an odd number results in an odd number.

The answer could be 23p + 46 or 23p + 48. However, 48 is divisible by 2, which would make 23p + 48 even (hence not prime for any p greater than 2). Therefore, the only potential expression that could yield a prime is 23p + 46, as long as p is chosen such that the result is not divisible by any other number.

19.   13(x+5)=91

20.   (-8)×x-15=30

21.   p=23w

22.   S=P+2

23.   7

24.   -13

25.   -8

26.   13

27.   -10

28.   -72

29.   -6

30.   3

The length of the number line segment satisfying the inequality (x-4)² ≤ 9 is 6 units, found by solving the inequality to get the range 1 <= x <= 7 and subtracting the lower endpoint from the higher endpoint.

To find the length of the segment of the number line for the points that satisfy the inequality (x-4)² ≤ 9, we first solve the inequality. Taking square roots of both sides gives us |x-4| ≤ 3.

This means that the distance from x to 4 on the number line is less than or equal to 3. We can express this as two separate inequalities: x-4 ≤ 3 and x-4 ≥ -3. Solving these gives us x ≤ 7 and x ≥ 1, which represent the endpoints of the segment on the number line.

The length of this segment is the difference between the endpoints, which is 7 - 1 = 6. So, the length of the number line segment that contains all points satisfying the original inequality is 6 units.

Fathi will need 12 sheets of paper to print a 48 page PDF document by printing two pages on each side of the paper. The total page count is halved twice, once for each side of a sheet and again for each pages printed per side.

Fathi has a PDF document that is 48 pages long and he wants to print it in a way that saves paper. This involves printing two pages on each side of a sheet of paper and then using both sides of the sheet. To find out how many sheets he will need, we can start by halving the total page count because printing two pages on each side means we effectively halve the number of pages. So, 48÷2 equals 24 'effective' pages. Then, because he's printing on both sides of each sheet, we halve that number again, giving us 24÷2 equal 12 sheets of paper. So Fathi will need 12 sheets of paper to print his 48-page document.

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The equivalent expression of the expression -21.8 - (-18.3) will be -3.5.

What is an expression?

Expression in math is defined as the collection of the number, variables and functions by using operations like addition, subtraction, multiplication, and division.

The mathematical expression is given as;

⇒ - 21.8 - (- 18.3)

Now, Solve the expression as;

The mathematical expression is

⇒ - 21.8 - (- 18.3)

= -21.8 + 18.3        

(Since, Two negative sign give positive sign after combine.)

After subtract the numbers we get;

= - 3.5

So, The equivalent expression is;

⇒ - 21.8 - (- 18.3) = - 3.5

Thus, The equivalent expression of the expression -21.8 - (-18.3) will be -3.5.

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r = 62 mph

t = 4.5 hours

d = 4.5*62 = 279 total miles

L= 2+w

I cannot solve this, however, because you have not included the total perimeter/area

The length and width of a rectangle can be represented as x + 2 cm and x cm, respectively.

In this problem, we are given that the length of a rectangle is 2 centimeters more than the width. Let's say the width of the rectangle is x centimeters. Then, the length of the rectangle would be x + 2 centimeters.

So, the dimensions of the rectangle are: length = x + 2 cm and width = x cm.

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To produce a pie chart reflecting 2/3, the pie must be divided into 3 equal parts, representing the whole. Two of these sections are then filled in or marked, representing the 2 in the fraction 2/3 or roughly 66.7% of the total pie chart.

To create a pie chart representation of the fraction 2/3, you need to think of the pie as representing the whole or 1. From there, we split the pie into 3 equal parts (since your denominator is 3), then, you will shade in 2 of those parts (as your numerator is 2). That shaded area of the pie chart represents 2/3.

It's essential to remember that each slice of the pie in a pie graph represents a share of the total or percentage. Thus, if you consider your pie to be 100%, then each one-third piece would be roughly 33.3%, and two of these would give you approximately 66.7%, which is the decimal equivalent of 2/3.

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Answer:

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Step-by-step explanation:

This question is based on the concept of Euler’s Formula. Therefore, there are 40 edges.

Given:

Faces: 25 Vertices: 17

We need to determined the number of edges by using the  Euler’s Formula (F + V = E + 2).

According to the question,

It is given that,

Faces: 25

Vertices: 17

By using Euler’s Formula ,

F + V = E + 2

Now put all the given values in the formula.

We get,

25 + 17 = E + 2

42 = E + 2

42 - 2 = E

E = 40

Therefore, there are 40 edges.

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