Describe a strategy for dividing a whole number or a mixed number by a fraction

Answer: The value of x is 133°.

Step-by-step explanation:

Since we have given that

Two lines intersect at a point forming two adjacent angles.

Measure of one adjacent angle is labeled as = x degrees

Measure of other adjacent angle is labeled as = 47 °

We need to find the value of x in degrees.

As shown in the figure:

Since they are adjacent angles.

So, we can write it as

[tex]x+47^\circ=180^\circ\\\\x=180^\circ-47^\circ\\\\x=133^\circ[/tex]

Hence, the value of x is 133°.

The condition 'p implies q' and 'q implies r' logically leads to the conclusion that 'p implies r' due to the transitive property of logical arguments, which forms a valid chain argument called syllogism.

Given two conditional statements p⇒q and q⇒r, we can deduce another conditional statement that must logically be true. When p implies q (p⇒q), and q implies r (q⇒r), we can conclude that p⇒r is also true. This is known as the transitive property in logic.

Chain argument or syllogism is a logical argument where a series of premises leads to a conclusion. Using this, when p happens before q, and q precedes r, it follows that p must also lead to r. Therefore, we can construct a logical chain: p⇒q⇒r, resulting in p⇒r.

The measure of missing angle can be obtained as 69°.

A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.

A quadrilateral can be drawn for the given case as below,

Suppose the angles A, B, C and D are 122, 79, 90 and Z.

Since the sum of the angles of a quadrilateral is 360°.

The following equation can be be written as,

122 + 79 + 90 + Z = 360

⇒ Z = 360 - 291

⇒ Z = 69

Hence, the missing angle is given as 69°.

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Answer:

its actually 1/2

We can conclude that: the 14- to 17-year olds spent more hours (6.8 hours) studying, on average, last weekend than the 10- to 13-year olds (4.3 hours).

Range for hours spent studying for 10 - 13 year olds = 8 - 1 = 7

Range for hours spent studying for 14 - 17 year olds = 10 - 4 = 6

Median for hours spent studying for 10 - 13 year olds = 4

Median for hours spent studying for 14 - 17 year olds = 7

Average for hours spent studying for 10 - 13 year olds = (1+1+2+4+4+4+4+6+6+7+8)/11 = 4.3

Average for hours spent studying for 14 - 17 year olds = (4+4+4+4+6+7+8+9+9+10+10)/11 = 6.8

Therefore, we can conclude that: the 14- to 17-year olds spent more hours (6.8 hours) studying, on average, last weekend than the 10- to 13-year olds (4.3 hours).

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Answer:  The probability of not rolling a 2 is [tex]\dfrac{5}{6}.[/tex]

Step-by-step explanation:  Given that a number cube has sides numbered 1 through 6. And the probability of rolling a 2 is [tex]\dfrac{1}{6}.[/tex]

We are to find the probability of not rolling a 2.

Let, 'A' denotes the event of rolling a 2.

So, we have

[tex]P(A)=\dfrac{1}{6}.[/tex]

The event of not rolling a 2 is given by the complement of event A.

The probability of the complement of event 'A' can be calculated as

[tex]P(A')=1-P(A)=1-\dfrac{1}{6}=\dfrac{5}{6}.[/tex]

Thus, the probability of not rolling a 2 is [tex]\dfrac{5}{6}.[/tex]

Answer:

 9cm is your height. I found it by multiplying 4 to itself to get 16 then dividing it by 144 to get 9.

Step-by-step explanation:

Answer:its 160 cubic feet hope it helps;)

Step-by-step explanation:

Let us suppose the number is x. Now we try to make an algebraic expression going step by step.

Step 1:

Five times the number means 5 multiplied by x.

So it becomes 5x.

Step 2:

Sum of 14 and five times the number means 5x+14.

Step 3:

Number multiplied by -8 means -8x.

Step 4:

Subtract the expression in step (3) from expression in step (2)

5x+14-(-8x)

Now we can simplify it further,

5x+14+8x

Combining like terms,

13x+14

Answer: The final expression becomes 13x+14.

It takes 12 for 1 pint containers to fill the birdbath.

Edgar has birdbath that holds 2 gallons of water.

There are 2 pints in 1 quart.

Similarly there are 4 quarts in a gallon.

So, there are 8 pints in a gallon.

2 x 8 =16.

So there are 16 pints in total.

3/4 of 16 is

[tex]\frac{3}{4} *\frac{16}{1}\ =12[/tex]

Therefore,It takes 12 for 1 pint containers to fill the birdbath.

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In probability, the probability of an outcome is a value between 0 and 1, inclusive. From your list, 1.015 and -0.234 do not fall within this range and thus can't be considered as valid probabilities, whilst 45%, 0.45%, 0.995, 2/3, and 0.66 are valid probabilities.

In probability theory, the probability of an outcome is always expressed as a value between 0 and 1, inclusive. In other words, the minimum probability is 0 (representing an event that will not occur) and the maximum is 1 (representing an event that is certain to occur). Probabilities can also be represented as fractions, percentages, or decimal numbers that fall within this range.

Looking at your list, 1.015 and -0.234 cannot be considered valid probabilities, because they fall outside the 0 to 1 range. All percentages should also be converted to decimals before comparison, meaning that 45% is equivalent to 0.45 and is a valid probability, while 0.45% is equivalent to 0.0045 and is also valid. Similarly, 2/3 and 0.66 are valid probabilities because they lie within the 0-1 range.

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The set C shows a positive nonlinear association between x and y

The set is given as:

Set A

x 1 2 3 4 5 6 7 8 9

y 10 9 8 7 6 5 4 3 2

Set B

x 1 2 3 4 5 6 7 8 9

y 3 4 5 6 7 8 9 10 11

Set C

x 1 2 3 4 5 6 7 8 9

y 8 6 5 4 3.5 3 2.5 2 2

Set D

x 1 2 3 4 5 6 7 8 9

y 1 2.5 2.5 3 4 5 6 8 9

For the set to represent a non linear association, then the variables increases or decreases as the other variable changes but the direction must form a curved pattern.

Sets A, B and D are linear asociation because the output variables increases or decrease as the input variable increases

Hence, the set C shows a positive nonlinear association between x and y

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Answer:

→△ABC is reflected to form​​ ​ △A′B′C′ ​.

→→Vertices of △ABC are A(-1, 3) , B(2, 4) , and C(-5, 6)  and the vertices of △A′B′C′ are A′(3, −1) , B′(4, 2) , and C′(6, −5) .

Drawing the two images of ΔABC and ΔA'B'C'on two Dimensional Coordinate Plane

When, reflection takes place,the two, Image, and Pre-Image are Congruent, that is neither the shape nor the Size changes only translation of the shape takes place on the coordinate plane.

Option C: → Reflection across y = x.

Answer:

Step-by-step explanation:

The given transfomation is

[tex]A(-1,3) \implies A'(3,-1)\\B(2,4) \implies B'(4,2)\\C(-5,6) \implies C'(6,-5)[/tex]

Notice that the rule of the given transformation is

[tex](x,y) \implies (y,x)[/tex]

That is, the coordinates were change of position, like an inverse.

According to transformation rules, this represents a reflection across the line [tex]y=x[/tex].

Therefore, the right answer is C.

To determine P percent when 9 is a percent of 17, we calculate P ≈ 52.94%. Therefore, P is between 50% and 60%.

To find what P percent is when 9 is a percent of 17, we use the formula for percentage: P = (part/whole) x 100. Here, the part is 9, and the whole is 17. Thus, the calculation will be:

First, divide 9 by 17, which equals approximately 0.5294. Next, multiply this result by 100 to convert it to a percentage:

So, P is approximately 52.94%. This means that P falls between 50% and 60%.