Marisol is making a rectangular wooden frame. She wants the length of the frame to be no more than 12 inches. She has less than 30 inches of wood to use. Which system of inequalities represents the possible length, l, and the possible width, w, that her frame could have?

l ≤ 12
2l + 2w < 30
l > 12
2l + 2w < 30
l ≤ 12
l + w < 30
l > 12
l + w < 30

x=x

Step-by-step explanation:

finding by mathematical operation and distribution law over multiplication added with subtraction is the formula now it might be easy for you

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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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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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:

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 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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The value of the expression [3.5⁷ / 3.5⁶]² will be 12.25. Then the correct option is D.

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

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The expression is given below.

⇒ [3.5⁷ / 3.5⁶]²

Simplify the expression, then the value of the expression will be

⇒ [3.5⁷ / 3.5⁶]²

⇒ [3.5]²

⇒ 12.25

The value of the expression [3.5⁷ / 3.5⁶]² will be 12.25. Then the correct option is D.

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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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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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Answer:

1/4

Step-by-step explanation:

(0.2+0.3) / 2 = 0.25

0.25 = 25% = 25/100 = 1/4

Answer: 3/2

Step-by-step explanation:

[tex]\displaystyle\\0.3:0.2=\\\\\frac{3}{10} :\frac{2}{10}=\\\\ \frac{3}{10}*\frac{10}{2} =\\\\\frac{(3)(10)}{(10)(2)}=\\\\ \frac{3}{2}[/tex]

The answer is -28

We're asked to multiply 4 by -7

The multiplication is straight forward, the first number is a positive integer and the second number is a negative integer

4 × (-7)

= -28

Hence the multiplication of both numbers will give -28

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The slope of the line as shown in the diagram attached below = rise/run = 3/5.

The rise of a line over the run of a line would give us the slope of a line on a coordinate plane.

With the given line in the diagram, the image attached below shows the rise as represented by a red line while the run is represented by the blue line.

Therefore, we have:

Run = 10 units

Rise = 6 units

Slope (m) of the line = rise/run = 6/10

Simplify

Slope (m) of the line =  3/5

Therefore, the slope of the line as shown in the diagram attached below = rise/run = 3/5.

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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)

Answer:

C

Step-by-step explanation:

y = mx +b  The b is where the graph crosses the y axis.  If you look a the graph it is crossing at 5.  The m is the slope.  It is the change in y over the change in x.  If you start at 5 and go up10 and over 1, you will be on the line.  So our slope is 10/1 which is just 10

Answer:

C

Step-by-step explanation:

it starts on 5 and goes up by 10

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:

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

Step-by-step explanation:

The filled in dots mean that those numbers are included

Answer:

[tex]\frac{(5+a)}{(a-1)}[/tex]

Choice A

Step-by-step explanation:

[tex]f\left(x\right)\:=\:\frac{\left(3+x\right)}{\left(x-3\right)}[/tex]

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

Substitute x with a+2

Numerator becomes [tex]3 + (a+2) = 5+a[/tex]
Denominator becomes [tex](a+2) - 3 = a+2-3 = a - 1[/tex]

Therefore the fraction becomes [tex]\frac{(5+a)}{(a-1)}[/tex]

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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Answer:

7/8

Step-by-step explanation:

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

The area and perimeter of a polygon with vertices (1,-2) , (1,5) , (7,-2)

A=23.27644 units^2

Let

A= (1,-2) ,

B=(1,5) ,

C=(7,-2)

Therefore, the equation for distance is  mathematically given as

d=\sqrt {(x^2-x^1)^2+(y^2-y^1)^2}

Therefore For AB

[tex]d=\sqrt {(-2-1)^2+(5-1)^2}[/tex]

d=5

For BC

[tex]d=\sqrt {(5-1)^2+(-2-7)^2}[/tex]

d=9.84

for CA

[tex]\sqrt {(5-1)^2+(-2-7)^2}[/tex]

9.486

Hence, Perimeter

P=9.486+9.84 +5

P=24.326

In conclusion, the Area of a triangle

A = √s(s−a)(s−b)

Where

s=24.326/2

Therefore

[tex]A=\sqrt{24.326/2((24.326/2)-5)((24.326/2)-9.486 )((24.326/2)-9.84 )}[/tex]

A=23.27644 units^2

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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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The  proportion of initial sales were spent on marketing by small businesses  is between 5 and 10%.

The correct option is A.

The U.S. Small Business Administration estimates that small businesses typically want to spend between 7-8% of one‘s revenue on marketing, provided that their companies have profit margins of 10-12%.

In order for sales to know exactly where the buyers are and assist them in progressing toward a purchase, marketing can give sales representatives the opportunity to be as knowledgeable as the buyers themselves. In summary, marketing can actually improve sales representatives' performance, which can have an effect on revenue generation.

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I understand that the question you are looking for is:

In one study, small businesses starting out spent what percentage of sales on marketing?

A) 5 to 10%

B) 8 to 15%

C) 15 to 19%

D) 25 to 32%

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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Answer:

18

Step-by-step explanation:

-56+2(-3) - (-80)

Simplify.

-56+2(-3) - (-80)=

=-56 - 6 + 80=

=-62+80=18

Hope this helps!

Please mark as brainliest if correct!

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 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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