Write two equivalent fractions for 2/3

The length of each side of the square can be represented by the equivalent expressions 30x + 80, 10(3x + 8), and 2(15x) + 2(40), with the first expression being in the simplest form and containing only two terms.

The student is provided with an expression for the side length of a square and is asked to write equivalent expressions representing the lengths of the other three sides. Since all four sides of a square are equal, we simply need to simplify the given expression and use it to represent each side. The given expression is 6(3x+8)+32+12x.

First, we can simplify this by distributing and combining like terms:

6(3x+8) becomes 18x + 48

Adding the 32 gives us 18x + 48 + 32

Finally, add the 12x to get 18x + 12x + 48 + 32

Combining like terms results in 30x + 80.

Now we have our simplified expression, which is 30x + 80, to represent the length of each side of the square. For different but equivalent forms:

As two terms: 30x + 80 (this meets the requirement of containing only two terms)

Factored form: 10(3x + 8)

Expanded form by distributing a common factor: 2(15x) + 2(40)

These are three different equivalent expressions we can use to represent the lengths of each side of the square.

Answer:

C. 42

Step-by-step explanation:

Answer:

The answer on edgenuity for dividing fractions is -3 on the assignment good luck!

Step-by-step explanation:

The expression 3a4b-2c3 is already in its most simplified form because they are not like terms, thus cannot be combined.

The given expression 3a4b-2c3 cannot be simplified further because it consists of variable components. Each of these components -- 3a, 4b, and 2c3 -- represent distinct and separate entities in the equation. Unlike in some mathematics problems, these components cannot be combined or simplified because they are not like terms. In algebra, like terms are terms that contain the same variables and powers. So only if the given equation was 3a + 2a or 4b - 3b, then they could be combined. But as it stands, 3a4b-2c3 is already in its most simplified form.

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Answer:

The lower, middle, and upper quartiles of this data are 80.5, 98 and 118 respectively.

Step-by-step explanation:

The given data set is

122, 164, 71, 98, 84, 147, 114, 111, 98, 85, 104, 71, 77

Arrange the data set in ascending order.

71, 71, 77, 84, 85, 98, 98, 104, 111, 114, 122, 147, 164

Divide the data set in equal parts.

(71, 71, 77, 84, 85, 98), 98, (104, 111, 114, 122, 147, 164)

Now divide each parenthesis in two equal parts.

(71, 71, 77), (84, 85, 98), 98, (104, 111, 114), (122, 147, 164)

Lower quartile is

[tex]Q_1=\frac{77+84}{2}=80.5[/tex]

Middle quartile is

[tex]Median=Q_2=98[/tex]

Upper quartile is

[tex]Q_3=\frac{114+122}{2}=118[/tex]

Therefore, the lower, middle, and upper quartiles of this data are 80.5, 98 and 118 respectively.

the answer is option A. 5

it's C: It is the graph of y = log2x translated 9 units down and 3 units to the left.

A 4th degree polynomial will have at most 3 extreme values. Since the degree is even, there will be one global extreme, with possible multiplicity. The remainder, if any, will be local extremes that may be coincident with each other and/or the global extreme.

(The number of extremes corresponds to the degree of the derivative, which is 1 less than the degree of the polynomial.)

Final answer:

There are 1326 different 2-card hands possible when drawing without replacement from a standard deck of 52 playing cards, using combinations to calculate it.

Explanation:

To determine how many different 2-card hands are possible from a standard deck of 52 playing cards when drawing without replacement, we need to consider combinations since the order of the cards does not matter. Using the combination formula C(n, r) = n! / (r!(n - r)!), where n is the total number of items and r is the number of items to choose, we calculate C(52, 2).

We have:

n = 52 (total number of cards)

r = 2 (number of cards to choose)

Therefore, the calculation is as follows:

C(52, 2) = 52! / (2!(52 - 2)!) = 52! / (2! * 50!) = (52 * 51) / (2 * 1) = 1326.

So, there are 1326 different 2-card hands possible when drawing without replacement from a standard deck of cards.

Its Simple! 1 minute and 47 seconds! You gotta do 31 mins and 21 seconds - 29 mins and 38 seconds! Which give you a whooping 1 minute and 47 seconds! I hope i helped you!

the correct answere is B

The correct answer is D) The correlation between the variables implies causality.

A survey is a research method used for collecting data from a predefined group of respondents to gain information and insights into various topics of interest.

Now it is said that, A radio station sent a letter in the mail to 1000 randomly chosen residents within its broadcast area. The letter contained one dollar and a survey. The survey asked recipients to track their radio habits over a week. The survey was to be filled out and sent back in to the radio station.

So, here the problem with the survey that the survey is the self filled thus there is a possibility that the people may not be honest while filling the survey.Hence causing casualities.

Thus the correct answer is D) The correlation between the variables implies causality

To learn more about radio station:

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Answer: There is approximately 8.2 amount of radioactive material that will remain after 10 hours.

Step-by-step explanation:

Since we have given that

[tex]f(x)=10(0.98)^x[/tex]

where, f(x) represents the amount of radioactive material that will remain after x hours in the container.

Since we have given that x = 10 hours.

So, our equation becomes,

[tex]f(10)=10\times (0.98)^{10}\\\\f(10)\approx 8.17\\\\f(10)\approx 8.2[/tex]

Hence, there is approximately 8.2 amount of radioactive material that will remain after 10 hours.

To find out how many plants are needed, we calculate the perimeter of the square flower bed, convert that to inches, and then divide by the spacing of the plants. In this case, about 48 plants would be needed.

This problem can be solved using the properties of a square and unit conversion. Since a square has four equal sides and each side of the square flower bed is 22 feet long, the total perimeter of the flower bed would be calculated as 22 feet * 4, which is 88 feet. Next we need to convert these feet to inches since the plants are spaced 22 inches apart. There are 12 inches within a foot, so 88 feet equals 1,056 inches (88*12).

Once you have the total length in inches, you can determine the number of plants by dividing the total length in inches by the distance each plant is to be spaced. Thus, 1,056 inches divided by 22 inches gives us approximately 48 plants.

So, if you want to space your plants 22 inches apart around a square flower bed where each side is 22 feet, you will need 48 plants.

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Answer: there are 3 root of f(x)  which are rational numbers (2,0), (3,0) and (4.5,0)

Explanation:

Rational numbers are those that can be written in the form of p/q: q should not be equal to zero

since, the graph cuts x-axis at three points but rational are two

all integers are rational numbers

attached is the graph please have a look at it

Answer:

(6,7)

Step-by-step explanation:

The center of a circle is (4, 6), and an endpoint of a diameter is (2, 5)

Since center is the mid point of two end points of diameter .

So, we will use mid point formula

[tex](x,y)=(4,6)[/tex]

[tex](x_1,y_1)=(2,5)[/tex]

Mid point formula : [tex]x =\frac{x_1+x_2}{2}[/tex] and [tex]y =\frac{y_1+y_2}{2}[/tex]  

Substitute the values

[tex]4 =\frac{2+x_2}{2}[/tex] and [tex]6 =\frac{5+y_2}{2}[/tex]  

[tex]8 =2+x_2[/tex] and [tex]12 =5+y_2[/tex]  

[tex]6=x_2[/tex] and [tex]7=y_2[/tex]  

Thus [tex](x_2,y_2)=(6,7)/tex]

Thus the other endpoint of the diameter is (6,7)

Final answer:

Mora ate a total of 45.9 ounces of yogurt after consuming 8.5 containers, with each container holding 5.4 ounces.

Explanation:

The student asked how many ounces of yogurt Mora ate after consuming 8.5 containers, with each container holding 5.4 ounces. Mora ate 8.5 containers of yogurt, with each container holding 5.4 ounces of yogurt. To calculate the total amount of yogurt consumed, we multiply the number of containers by the amount of yogurt each container holds.

To solve this, simply calculate 8.5 containers × 5.4 ounces/container = 45.9 ounces of yogurt in total. This is the total amount of yogurt Mora ate during that week.

To find the measure of angle OPQ, set up an equation using the given angles in triangle NOP. Simplify the equation and solve for x. Substitute the value of x back into the expression for angle OPQ to find the measure of the angle.

To find the measure of angle OPQ, we can set up an equation using the given angles in triangle NOP:
(x+17) + (2x-4) + (5x-17) = 180
Simplifying the equation, we get: 8x - 4 = 180
From this, we can solve for x: 8x = 184, x = 23.
Now that we have the value of x, we can substitute it back into the expression for angle OPQ: 5(23) - 17 = 108 degrees.
Thus, the measure of angle OPQ is 108 degrees.

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