Square number (2x+5y)(3x^2-4xy+2y^2)

Answer:

x=3y2-7

x=3×1-7

x=3-7

x=-4

The pair of ratios that form a proportion is given by:

B) 5/15 and 4/12.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

A pair of ratios will form a proportion if the division of the denominator by the numerator is the same, hence:

The pair of ratios that form a proportion is given by:

B) 5/15 and 4/12.

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Grew Davis next step would be to give homework for the students and conduct a test in the next week .

Gwen Davis is a middle school math teacher.

she starts today's lesson by introducing the topic of percent increase and percent decrease and reviewing decimals and percent

How do I calculate a percentage decrease?

Percentage decrease formula can be obtained by simply dividing the decreased value by the original value and multiplying that with 100. Here, Decreased Value = Original Value – New Value.

How do you calculate a 20% increase?

Multiply the original value by 0.2 to find the amount of a 20 percent markup, or multiply it by 1.2 to the original value

Hence , Grew Davis next step would be to give homework for the students and conduct a test in the next week .

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The result of the exponent given is 7^12

In order for us to solve the exponential expression given, we will use the law of exponent below;

(a^m)^n = a^mn (multiply the powers)

Given the expression

[tex](7^{6})^{2}[/tex]

Multiply the exponents to have;

7^6(2)

7^12

Hence the result of the exponent given is 7^12

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A subset of a statistical population called a simple random sample is one in which each member has an equal chance of being chosen.

What is Probability sampling?

A random/ arbitrary sample is similar to a straightforward arbitrary sample. The distinction between the two is that any object in the population has an equal probability of being named with a simple arbitrary slice. Every item doesn't inescapably have an equal chance of being chosen in an arbitrary slice.

A random/ arbitrary sample is one that was named at arbitrary. It should really be labeled as a sample that was chosen at arbitrary. In order to help bias and other negative goods, arbitrary samples are employed. In fact, it's not as easy as it seems to opt for a arbitrary sample that involves further than simply opting for 100 people from a population of 1000. Make sure your arbitrary sample is actually random/ arbitrary before using it.

The liability of a straightforward random/ arbitrary slice, a subset of a statistical population called a simple random/ arbitrary sample is one in which each member has an equal chance of being chosen. A straightforward arbitrary sample is intended to offer an objective definition of a group.

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Answer:

-4 [tex]\leq[/tex] x [tex]\leq[/tex] 3

Step-by-step explanation:

The filled in dots mean that those numbers are included

The numerical value is a statistic.

A parameter is a value that is used to describe a whole population. A statistic is a number that describes a sample.

There would be more than 2707 homeowners in Michigan. Thus, only a sample of all homeowners was used. Since a sample was used the numerical value is a statistic.

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The solution of the equation 20x = x + 3 will be 3 / 19. Then the correct option is A.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

Ten times a number, x, is one-half the sum of the number and three. Then the equation will be

10x = 1/2(x + 3)

Simplify the equation, then we have

20x = x + 3

19x = 3

x = 3 / 19

Thus, the solution of the equation 20x = x + 3 will be 3 / 19. Then the correct option is A.

Your question was incomplete, probably the question was...

Ten times a number, x, is one-half the sum of the number and three. Which answer represents this situation?

A. 10x = 1/2(x + 3)

B. 10x = 1/2x

C. 10x = 1/2x + 3

D. 10x = (x + 3)

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Answer:

[tex](10+3x)(10-3x)[/tex]

Step-by-step explanation:

[tex]100-9x^2\\\sqrt{100} =10\\\sqrt{9} =3\\3*-3=-9\\\sqrt{x^2} = x \\(10-3x)(10+3x)[/tex]

________________________________________________________

Considering both terms are perfect squares, factor using the difference of squares formula:

[tex]a^2-b^2=(a+b)(a-b)[/tex]

In this situation, a = 10 and b = 3x. With this, now plug in your data into the formula.

(10 + 3x) (10 - 3x)

_________________________________________________________

Hope this helps! If so, lmk! Thanks and good luck!

The value of x as given in the diagram is 18

The sum of supplementary angles is 180 degrees. From the given figure;

The measure of the angle 2x and 8x are supplementary such that;

2x + 8x = 180

10x = 180

Divide both sides by 10 to have:

10x/10 = 180/10

x = 18

Hence the value of x as given in the diagram is 18

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The answer for the following questions are:

An angle is formed when two straight lines or rays meet at a common endpoint.

11. 5+35x + 24x - 2 = 180 (linear pair)

       59x = 177

          x= 3

12. 15 + 10x = -5 + 12x (corresponding angle)

          20 = 2x

           x= 10

13. 13x -4 + 8 +9x =180 (linear pair)

        22x +4 = 180

        22x = 176

           x= 4

14. 24x + 3 = 25x (alternate interior angle)

             3 = x

15. 32x + 4 = 1 + 33x ( corresponding angle)

          3 = x

16. 13x+ 11 = 15x - 5 (alternate interior angle)

    -2x = -16

      x= 8

17. 15x + 8x -4 = 180 (linear pair)

    23x = 184

       x=8

18. 9x +16 = 11x -2 ( Vertically opposite angle)

    -2x = -18

       x=9

19.  5+ 17x = 19x -5 (alternate interior angle)

      2x = 10

        x=5

20. 8x - 3 + 23x -3 =180 ( Linear pair)

      31x = 186

       x=6

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Answer:

0.136

Step-by-step explanation:

If we want to find out how many times larger a number is, they need to have the same amount of exponents to make it easier.

We can move the decimal point in (8 * 10^-1) (which equals 0.8) by 1 to the right, so it's exponent is now 1, same as the (1.088 * 10^1). Now we can divide.

1.088/8 is 0.136, so that is your answer.

The percent of the large circle is covered by the small circle will be 33.3%.

It should be noted that the radius of the small circle will be r.

The radius of the big circle will be 3r.

Therefore, the percent of the large circle is covered by the small circle will be:

= r / 3r × 100

= 1/3 × 100

= 33.3%

The percent of the large circle is covered by the small circle will be 33.3%.

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Answer:

Agnes would need to score a 85 to get an average of 80.

Step-by-step explanation:

[tex]\frac{82+69+84+x}{4}[/tex] = 80  multiply both sides by 4

82+69+84+X = 320

235+X = 320  subtract both sides by235

x = 85

The integers from least to greatest is -12<-9<-8<0<2<5<10.

The given set of numbers are -9, 5, 2, -8, 0, 10, -12.

We need to order the integers from least to greatest.

Ascending order refers to the arrangement of numbers or other items in increasing order from smallest to largest. Numbers that we see on a number line from left to right are examples of ascending order. We usually represent it by putting commas between numbers or by using the 'less-than symbol (<)' between numbers.

With negative numbers, the highest number with the negative sign has the least value.

So, -12<-9<-8<0<2<5<10.

Therefore, the integers from least to greatest is -12<-9<-8<0<2<5<10.

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Answer:

4.     [tex]6.3 \times 10^4[/tex]

6.     [tex]3.75 \times 10^{-19}[/tex]

Step-by-step explanation:

9.45 * 10^10 / (1.5 * 10^6) = 9.45 / 1.5 * 10^10 / 10^6 = 6.3 * 10^4

9 * 10^(-11) / (2.4 * 10^8) = 9 / 2.4 * 10^(-11) / 10^8 = 3.75 * 10^(-19)

The length of the given rectangle is x + 5 meters.

Given:

To find: Length of the rectangle

Finding:

Let 'a' be the length of the rectangle.

We know that area of a rectangle = length * width

On substituting the given values in the above formula, we get:

=>  x² + 8x + 15 = a (x + 3)

=> a = [tex]\frac{x^2+8x + 15}{x+3}[/tex]

=> a = [tex]\frac{(x+5)(x+3)}{x+3}[/tex]

=> a = x + 5

Hence, The length of the given rectangle is x + 5 meters.

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Answer:

0.063

Step-by-step explanation:

0.504 divided by 8 is 0.063

Hope It Helps

Sorry If I'm Wrong

Answer: The answer is 0.630

Step-by-step explanation: The picture proves my answer :D

48 boxes did she receive from the store initially in probability.

How does probability explain work?

Based on the given conditions formulate = 28 + 5 * 4

Calculate the product or quotient = 28 + 20

calculate the sum or difference = 48

get the result  = 48

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Answer:

7/8

Step-by-step explanation:

add your decimal your fraction inside parentheses then divide it by the rest of the equation

190 handshakes take place.

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order. Permutations and combinations can be mixed up. The sequence in which the chosen components are chosen is crucial in permutations, too. For instance, the arrangements ab and ba are distinct in permutations but equivalent in combinations (regarded as one arrangement).

Combinatorics is the study of combinations, although mathematics and finance are two other fields that employ combinations.

EXPLNATION : For a handshake you need two people. Therefore, select two from twenty, that is, 20C2 ways. It is 20*19/2 = 190.

In general, if there are ’n’ number of people there can be nC2 handshakes.

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Answer:

D

Step-by-step explanation:

D, because 6* -2.5a = -15a and 6*5= 30 so it equals -15a+30.

The average building height and the standard deviation for two separate cities' samples are shown. The true statements are:

City A’s heights are more spread out than city B’s heights.

City A has a lower average height than city B.

In daily life, an average is a number chosen to represent a group of numbers; it is often the sum of the numbers divided by the total number of numbers in the group (the arithmetic mean). The average of the integers 2, 3, 4, 7, and 9, for instance, is 5, which equals 25. An average could alternatively be another statistic like the median or mode, depending on the situation. The median is sometimes used in place of the mean since the mean would be unnaturally high if it included the personal incomes of a few billionaires. The median is the amount below which 50% of personal incomes fall and above which 50% of personal incomes rise.

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The value of y for which the left hand side of the equation is equal to Right hand side is 11.

Solution of a linear equation is the value of the variable for which the left hand side and right hand side of the equation are equal.

Given is the following equation -

9y = 99

In order to solve the equation. we have to find the value of y for which 9y is equal to 99. Now -

9y = 99

Divide both sides by 9 -

9y/9 = 99/9

y = 11

Therefore, the value of y for which the left hand side of the equation is equal to Right hand side is 11.

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[The given question is written in Spanish. The following is the statement converted onto English as

9y=99 Enter your answer.}

The required measure of the sine of angle ∠ MQP for Right triangle MNR is evaluated as 0.83.

As given in the question, the Right triangle MNR is represented with the right angle at vertex M. Angle R measures 34 degrees, and angle N measures 56 degrees.
We have to determine sin ∠MQP.

The angle can be defined as the one line inclined over another line.

Here,
For right-angle triangle MNR,
To calculate the sin of the angle in the right angle triangle we need hypotenuse and perpendicular.
But in the question value of angle ∠MQP is given, So directly,
sin 56 = 0.83.

Thus, the required value of the sine of angle  ∠MQP is 0.83.

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Answer:

hlpp

Step-by-step explanation:

The dimensions of the rectangular play area should be: 41.5 x 8.3 feet.

Now,

Given:

To find: Length and Width.

Let the width of the rectangular play area be x.

Then, the length = 5x

According to the formula of perimeter of a rectangle,

100 = 2 (x + 5x)

=> 50 = 6x

=> x = 8.3 feet (Approx.)

That is the width of the play area = 8.3 feet

=> Length = 5(8.3) = 41.5 feet.

Hence, The dimensions of the rectangular play area should be: 41.5 x 8.3 feet.

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