How can you record hundredths as fractions and decimals?

Answer : no solution

Step-by-step explanation:

The system of the equations have infinitely many solutions.

The solution of the equation means the value of the unknown or variable.

The linear equation of two variable is given below.

6x + 3y = –12

6x + 3y + 12 = 0  ...1

   –2x + 4 = y

2x + y – 4 = 0  …2

The standard equations are given as

a₁x + b₁y + c₁ = 0

a₂x + b₂y + c₂ = 0

Compare equation 1 and 2 with the standard equation. Then we have

a₁ = 6, b₁ = 3, c₁ = 12

a₂ = 2, b₂ = 1, c₂ = –4

If the ratio of the coefficient of x and y are different, then unique solution.

If the ratio of the coefficient of x and y are same, but constant term ratio is different, then no solution.

If the ratio of the coefficient of x and y and constant term is same, then infinitely many solutions.

a₁ / a₂ =  6/2 = 3

b₁ / b₂ =  3/1= 3

c₁ / c₂ =  12/(-4) = -3

Then the condition will be

a₁ / a₂ = b₁ / b₂ ≠ c₁ / c₂

The system of the equations have infinitely many solutions.

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Answer:

132 square cm = 20.46 square inches

Step-by-step explanation:

Total surface area = area of base (square) + 4 x area of one triangle.

[tex] = {6}^{2} + 4 \times \frac{1}{2} \times 6 \times 8 \\ = 36 + 2 \times 48 \\ = 36 + 96 \\ = 132 \: {cm}^{2} \\

= 20.46\: inches^2 [/tex]

Answer:

Divided by 3

1

1/3

1/27

Step-by-step explanation:

Answer: Divide by 3, 1, 1/3, 1/27

Step-by-step explanation:

Answer:

A : False

B : False

Step-by-step explanation:

A : The mode of a data set is whichever number comes up the most.

8 comes up the most times, so 8 is the mode.

B : The median is a number which is in the middle of a data set

This is the data set as a list of numbers :

2, 5, 5, 5, 6, 6, 8, 8, 8, 8

the two sixes are in the middle, if there are 2 numbers in the middle, add them together and divide by two,

6 + 6 = 12

12 / 2 = 6

6 is the median.

Final answer:

The question relates to data analysis in Mathematics, focusing on the mode and median within a data set, which cannot be determined without the provided figures. The median is the middle value in an ordered data set, while the mode is the most frequent value.

Explanation:

The subject of this question is Mathematics, specifically focusing on concepts related to data analysis such as mode, median, and box plots. Without the actual dot plot or box plot figures provided, we cannot verify the true or false nature of the statements provided. However, generally, the mode is the number that occurs most frequently in a data set, and the median is the middle number when the data set is ordered from least to greatest. To construct a box plot for a given data set, you would need to calculate the minimum, first quartile, median, third quartile, and maximum of the data. These five statistics are then used to create the box plot, which provides a visual representation of the data distribution.

When discussing the median in a box plot, it is the value that divides the data set into two equal halves. The mode in contrast, may or may not correspond to any of the box plot’s five statistical summaries; it entirely depends on the frequency of the individual values.

Answer:

 =12.56 ft^2

Step-by-step explanation:

First we need to find the radius

r = d/2 = 4/2 =2

Then we can find the area

A = pi r^2

   = pi ^ 2^2

   = 4pi

   = 4*3.14

   =12.56 ft^2

Answer:

12.56 ft²

Step-by-step explanation:

Radius = 4/2 = 2 ft

Area = 3.14 × 2²

= 12.56 ft²

Answer: x=3

Step-by-step explanation:

2 times (x)= 2x + 6 = 18 (equation) Then you multiply the 2 • 6 = (12) then subtract the 18-12 and you get 6 then you go back to the 2x and think what would (x) have to be for me to get the answer (6) then you think 2x3 = 6 then you get your answer of (3)

I hope this works for you bc this was the way I was taught.

Answer: 25% of 300 is x x is 75

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello :

3x − 2y = −9 ...(*)

4x + 3y = 22...(**)

multiply (*) by 3 and(**) by 2    you have : 9x-6y = -27

                                                                  8x+6y =44

add this equations : 17x = 17    so : x=1

put this value in : 8x+6y=44

  8(1)+6y=44

6y=36

y=6

one solution : (1 ; 6)

Answer:0

Step-by-step explanation:

0+0

Answer:

47°

Step-by-step explanation:

M < AOC = M < AOB + m < BOC

Substitute the values

3x + 124 +6x +29 = 180°

Solve for x

9x + 153° = 180°

9x = 180° - 153°

9x = 27°

x= 3°

Find the measure of angle BOC

M < BOC= 6x + 29

Substitute the value of x

M< BOC= 6(3) + 29 + 47°

Answer:

20 tomatoes and 10 cucumbers so everybody gets 2 tomatoes and 1 cucumber like the smaller salad from before.

Step-by-step explanation:

Answer:

Ok, I got 4.176 x [tex]10^{15}[/tex]

Step-by-step explanation:

Hello! Your answer is D. 130. I hope this helps and I hope that you have a nice day!

~Mika

Answer:

The inverse of the statement is, " If A, B, C are not collinear, then they do not lie on the same line." Bob is not correct. The inverse statement is true. For any points to be collinear, they have to be one the same line. If these points are not collinear, it means they do not lie on the same line.

Step-by-step explanation:

The inverse of the statement is "If A, B, and C do not lie on the same line, then they are not collinear," which is logically true based on the definition of collinear points. Bob's claim that the inverse is not true requires clarification; without it, he is incorrect.

The inverse of the conditional statement "If A, B, and C are collinear, then they lie on the same line" is "If A, B, and C do not lie on the same line, then they are not collinear". When we discuss the inverse of a statement, we negate both the hypothesis and the conclusion of the original statement. In the given statement, collinear implies that the points lie on the same straight line. Hence, if they do not lie on the same line, logically they would not be collinear.

Bob's claim that the inverse of this statement is not true requires justification, as the truth of a statement's inverse is not necessarily linked to the truth of the original statement. However, in this particular case, the inverse does happen to be a logically true statement, because it is consistent with the definition of collinear points. If points don't lie on the same straight line, by definition, they cannot be collinear. So, if Bob is asserting that the inverse is always false without any context, Bob is incorrect.

It is important to note that this is a logical interpretation based on the definitions involved and is how geometric properties are understood. The truth of the inverse of the conditional is not dependent on the truth of the original statement but instead on the definitions of the terms used.

Answer:

it would be

bumblebee

mosquito

honey bee

Step-by-step explanation:

The insect wing pitch from lowest to highest is mosquito (600 flaps per second), honey bee (220 flaps per second), and bumblebee (145 flaps per second).

The insect wing pitch from lowest to highest would be as follows:

The mosquito has the highest wing pitch as it flaps its wings at 600 times per second, followed by the honey bee at 220 flaps per second, and the bumblebee at 145 flaps per second.

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Answer:

there has been probaly a lot more because there is a shorter distance and more cars go on a shorter route

Step-by-step explanation:

Answer:

4.6

Step-by-step explanation:

[tex]\frac{x}{8}=\frac{23}{40}[/tex]

x*40=40x

23*8=184

40x=184

x=4.6

Answer:

x = 23/5 = 4.600

Step-by-step explanation:

Step  1  :

Simplify  23/40

x/8 - 23/40 =0

Step  2  :

Simplify x/8

x/8 - 23/40 = 0

 Find the Least Common Multiple

     The left denominator is :       8  

     The right denominator is :       40  

       Number of times each prime factor

       appears in the factorization of:

Prime  

Factor   Left  

Denominator   Right  

Denominator   L.C.M = Max  

{Left,Right}  

2 3 3 3

5 0 1 1

Product of all  

Prime Factors  8 40 40

     Least Common Multiple:

     40 to be continued

Answer:

Step-by-step explanation:

Hi there,

If the boy wants 80 small action figures

that is equivalent to 40 x 7 (as 7 tickets

gives him 2 small action figures)

= 280 tickets.

The 380 tickets he has originally minus the

280 leaves 100 tickets to get 20 large action figures

(100/5)

He will have 80 small and 20 large action figures

80:20 = 4:1

Hope this helps:-)

Final answer:

Yes, the boy can exchange his 380 prize tickets for 80 small action figures and 20 large action figures, given the conversion rates and the desired ratio.

Explanation:

The student's question involves determining if a boy with 380 prize tickets can get 80 small action figures and still have enough tickets for 20 large action figures at a prize booth, given the exchange rates and the desire for 4 times as many small figures as large ones. To analyze this, we'll use the information that 5 tickets can be exchanged for a large action figure and 7 tickets can be exchanged for 2 small action figures. The boy wants 4 times as many small figures as large figures.

Let's denote large action figures as L and small action figures as S. According to the information given:

To have 4 times as many small figures as large, this means that if he gets x large figures, he needs 4x small figures. The total cost in tickets for the large figures would be 5x for the large and 14x for the small, totaling 19x tickets.

If he wants to get 80 small figures (S = 80), we would have 4x = 80 and thus x = 20 for large figures. So, the total ticket cost would be 19x which equals 19*20 = 380 tickets.

Therefore, the boy can get 80 small figures and 20 large figures with his 380 tickets. The correct answer is 'Yes, because he would still have enough tickets for 20 large action figures'.

Answer:

=6/20

or 3/10

Step-by-step explanation:

3/4 ÷ 2 1/2

= 3/4 ÷5/2

using keep change flip

3/4 x 2/5

=6/20

or 3/10

Answer:

3/10

hope i helped

Final answer:

To convert 2447457.62712 into standard form, write it in scientific notation as 2.447457 × 10^5.

Explanation:

To convert 2447457.62712 into standard form, we need to write it in scientific notation. In scientific notation, a number is written as the product of a decimal number between 1 and 10, and a power of 10.

First, count the number of decimal places in the original number. In this case, there are 5 decimal places.

Next, move the decimal point 5 places to the left to create a number between 1 and 10. The result is 2.447457.

Finally, write the number in scientific notation by multiplying it by 10 raised to the power of the number of decimal places. In this case, the power of 10 is 5, so the scientific notation of 2447457.62712 is 2.447457 × 105.

Without additional information, it is not possible to determine the missing dimension of the rectangular face of the pyramid given only one dimension (3 feet).

To find the missing dimension of the rectangular face of a pyramid when one dimension is given (3 feet), you generally need additional information about the pyramid such as the ratio of the dimensions, the area of the face, or an association with another geometric figure that reveals the missing dimension's value. Without this information, the second dimension remains undefined. As no such information is provided in the question or the provided context about various historical pyramids and their dimensions, it is not possible to accurately determine the 'blank' feet dimension of the pyramid's rectangular face.

The perimeter of a semicircle with a diameter of 2 yards is 5.14 yards when using 3.14 for pi.

To calculate the perimeter of a semicircle with a diameter of 2 yards, we first need to find the radius, which is half of the diameter. Therefore, the radius (r) is 1 yard. Using the value of pi (π) as 3.14, the formula for the perimeter (P) of a semicircle is P = πr + 2r, where πr is the length of the semicircle's curved edge and 2r is the length of the diameter.

Plugging the radius into the formula, we get P = 3.14 × 1 yard + 2 × 1 yard. Simplifying this, we find P = 3.14 yards + 2 yards, which equals to 5.14 yards. Therefore, the perimeter of the semicircle is 5.14 yards.

Final answer:

The perimeter of a semicircle with a diameter of 2 yards is 5.14 yards, calculated by taking half the circumference of a full circle and adding the diameter.

Explanation:

To calculate the perimeter of a semicircle with a given diameter of 2 yards, we need to consider both the straight edge of the diameter and the curved edge of the semicircle.

The formula for the perimeter (P) of a full circle is P = πd, where π (pi) is approximately 3.14 and d is the diameter. Since we have a semicircle, we will take half of the circumference of the full circle and then add the diameter. So, the formula for the perimeter of the semicircle (P_semicircle) will be:

P_semicircle = (πd)/2 + d.

Let's plug in the values:

P_semicircle = (3.14 × 2 yards)/2 + 2 yards
P_semicircle = 3.14 yards + 2 yards
P_semicircle = 5.14 yards.

The perimeter of the semicircle is 5.14 yards.

Hope this will help u....

Answer:

$6.89

Step-by-step explanation:

Since she spent $4.69 and $5

She has the total amount of$16.58

So let's solve

4.69+5

9.69

So the amount spent will be deducted from the total amount in her account

16.58-9.69

6.89

So the amount left is $6.89

Answer:

The area of the pyramid’s base is 36 in².

The pyramid has 4 lateral faces.  

The surface area of each lateral face is 27 in².

Step-by-step explanation:

"Lateral" means side, so the lateral faces are triangles.

The base is the bottom, which is a square.

To calculate the area of the base, use the formula for area of a square.

[tex]A_{base} = s^{2}[/tex]

[tex]A_{base} = (6 in)^{2}[/tex]

[tex]A_{base} = 36 in^{2}[/tex]

To calculate the area of a lateral face, find the area of a triangle.

[tex]A_{lateral} = \frac{bh}{2}[/tex]

[tex]A_{lateral} = \frac{(6 in)(9 in)}{2}[/tex]

[tex]A_{lateral} = \frac{54 in^{2}}{2}[/tex]

[tex]A_{lateral} = 27 in^{2}[/tex]

In a pyramid, the number of lateral faces is the same as the number of sides in the base. The square base as 4 sides, so there are 4 lateral faces.

The area of the pyramid's base is 36 square inches. The pyramid has 4 lateral faces, each with a surface area of 27 square inches. The total surface area is 144 square inches.

Area of the Base :

Lateral Faces :

Surface Area of Each Lateral Face :

Total Surface Area :

Therefore, area of the pyramid's base is 36 square inches, the pyramid has 4 lateral faces, each with a surface area of 27 square inches and the total surface area is 144 square inches.

YOUR ANSWER IS IN THE ATTACHMENT PLZZ REFER TO THE ATTACHMENT

By using exterior angle theorem of triangle, Angle A is <A = [tex]47^{0}[/tex]

"If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles is known exterior angle theorem."

By using Exterior angle theorem

<A + <D = [tex]100^{0}[/tex]..............(1)

From the figure we can find <D

<D = [tex]180^{0}-127^{0}[/tex]

⇒ <D = [tex]53^{0}[/tex]

Substituting <D in equation (1)

<A + <D = [tex]100^{0}[/tex]

⇒ <A + [tex]53^{0} = 100^{0}[/tex]

⇒ <A = [tex]100^{0}-53^{0}[/tex]

⇒ <A = [tex]47^{0}[/tex]

From the straight line in the figure, we can write using exterior angle theorem

<A + <B = [tex]180^{0}[/tex]

⇒ <B = [tex]180^{0} -47^{0}[/tex]

⇒ <B = [tex]133^{0}[/tex]

Thus, By using exterior angle theorem of triangle, <A = [tex]47^{0}[/tex]

Learn more about exterior angle theorem here

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Answer:

37.7 inches

Step-by-step explanation:

[tex]C = 2\pi r = 2 \times 3.14 \times 6 = 37.68 \\ \\ \huge \: C \approx37.7 \: inches[/tex]

Answer:

IQR=4

Step-by-step explanation:

Answer:

3.59

Step-by-step explanation:

-×-=+

-2.31+5.9

=3.59

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Answer:

1/2x^2 -3

Step-by-step explanation:

The first equation is 1/2x^2 + 1 and since this equation is the first one minus 4 1-4= -3 so you would get this new equation.

Answer:

For the sampling distribution,

a) Mean = μₓ = 55.0 students.

b) Standard Deviation = 1.8 students.

Step-by-step explanation:

The complete Question is attached to this solution.

The Central limit theorem explains that for the sampling distribution, the mean is approximately equal to the population mean and the standard deviation of the sampling distribution is related to the population standard deviation through

σₓ = (σ/√n)

where σ = population standard deviation = 4

n = sample size = 5

Mean = population mean

μₓ = μ = 55 students.

Standard deviation

σₓ = (σ/√n) = (4/√5) = 1.789 students = 1.8 students to 1 d.p

Hope this Helps!!!

To solve for n when divided by negative two equals negative sixteen (n/-2 = -16), we multiply both sides by -2 to isolate n, yielding n = 32.

To find the value of n, we need to follow the rule of signs for division which states that when a positive number is divided by a negative number, the result is negative (and vice-versa). So to solve n divided by negative two equals negative sixteen (n/-2 = -16), we need to multiply both sides of the equation by -2 to isolate n. The multiplication of -2 (a negative number) with -16 (also a negative number) will result in a positive outcome according to the multiplication rules for signs.

Step-by-step solution:

Therefore, the value of n is 32.

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