There are 52 candies in a packet, about how many packets would 22 packets contain? Estimate the answer by rounding off the numbers to the nearest ten.

Answer:

a 48 x 48 unit cube

Step-by-step explanation:

a 1x 1 has 4-line segments

a 2 x 2 has 6-line segments

a 3 x 3 has 8-line segments

we see a pattern here

3 * 2 + 2= 8

2 * 2+ 2+= 6

1 * 2 + 2= 4

so 48 * 2 + 2= 100

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{8}~,~\stackrel{y_1}{-3})\qquad B(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x +8}{2}~~~ ,~~~ \cfrac{ y -3}{2} \right) ~~ = ~~\stackrel{\textit{\LARGE M}}{(7~~,~~0)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ x +8}{2}=7\implies x+8=14\implies \boxed{x=6} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ y -3}{2}=0\implies y-3=0\implies \boxed{y=3}[/tex]

The required answers are,

The greatest number of binders Eula can buy is 5.

The greatest number of notebooks Eula can buy is 10.

If 7 notebooks are ordered, one binder may also be bought, costing $2 more for Eula.

A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.

Now the given inequality is,

4x + 2y ≤ 20

here x is the number of binders and y is number of notebooks.

Cost of 1 binder = $4

Cost of 1 notebook = $2

Now for maximum number of binders put y = 0 in the given inequality we get,

4x + 2*0 ≤ 20

Solving we get,

4x  ≤ 20

Dividing both the side by 4 we get,

x ≤ 5

Thus, Eula is permitted to acquire 5 binders in the absence of notebook purchases.

Now for maximum number of notebooks,

Putting x = 0 in the given inequality we get,

4*0 + 2y ≤ 20

Solving we get,

2y  ≤ 20

Dividing both the side by 2 we get,

y ≤ 10

Thus, Eula is permitted to purchase 10 notebooks if no binders are purchased.

Now if Eula buys 7 notebooks, putting y = 7 in the given inequality we get,

4x + 2*7 ≤ 20

Solving we get,

4x + 14 ≤ 20

Subtracting both the side by 14 we get,

4x ≤ 6

Dividing both the side by 4 we get,

x ≤ 3/2

⇒ x ≤ 1.5 ≈ 2

Thus, If 7 notebooks are ordered, one binder may also be bought, costing $2 more for Eula.

Hence,If 7 notebooks are ordered, one binder may also be bought, costing $2 more for Eula.

Thus, the required answers are,

The greatest number of binders Eula can buy is 5.

The greatest number of notebooks Eula can buy is 10.

If 7 notebooks are ordered, one binder may also be bought, costing $2 more for Eula.

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Answer: 1) 5      2)10    3) 1

Step-by-step explanation:

on edge its correct

Answer: Bikes were ordered as part of new order order is = 80 bikes

scooters were ordered as part of new order order is = 32 scooters.

Step-by-step explanation:

Given data,

A sporting goods store ordered new bikes and scooters.

For every 3 bikes ordered, 4 scooters were ordered.

Then, The ratio of the bike and scooter is equal to = 3:4

where,

bike ratio is 3

scooter ratio is 4

Then 48 bikes

original order = 64 scooter

                       = 64/4

                       = 16 scooters

However, bike is more popular than scooter.

So,

they changed it into new ratio = 5:2

where,

5 is equals to bikes ratio

and 2 is equal to scooter ratio.

Then,

5(original order) = 5(16)

                           = 80 bikes

2(original order) = 2(16)

                           = 32 scooters.

Therefore,

bikes were ordered as part of new order order is = 80 bikes

scooters were ordered as part of new order order is = 32 scooters.

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The area of the rectangular deck is 20 ft²

The length of a rectangular deck is five times its width.

Therefore,

l = 5w

perimeter of the rectangular deck = 2(l + w)

where

Therefore,

24 = 2(5w + w)

24 = 2 × 6w

12w = 24

divide both sides by 12

w = 24 / 12

w = 2

Therefore,

area of the rectangular deck = lw

area of the rectangular deck = 2 × 10

area of the rectangular deck = 20 ft²

Therefore, the area of the rectangular deck is 20 ft²

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Answer:

x=1/2

Step-by-step explanation:

Hope this helps

Sorry if I'm wrong

The total pages read by Edwin's little brother is 5 and his father is 55 pages in reading competition.

Example: 5 is the number.

If the number 5 is multiplied by ten, the process looks like this.

5 × 10 = 50

50 + 5 = 55

55 as a final result

For, the given question,

Edwin read 50 pages in a week in reading competition.

Edwin reads 10 times more than his brother.

Thus, if the pages read by his little brother is x.

Then,

10 x = 50

x = 5

Thus, pages read by his little brother is 5 pages.

Now, the pages read Edwin is 10 times more than his father.

his father = 50 + 5 = 55

Thus, the pages read by his father is 55 pages.

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Answer:

20,200

Step-by-step explanation:

Let the number of lines in each cube be a term in the sequence:

4, 12, 24, 40, ...

Work out the differences between the terms until the differences are the same:

[tex]4 \underset{+8}{\longrightarrow} 12 \underset{+12}{\longrightarrow} 24 \underset{+16}{\longrightarrow} 40[/tex]

     [tex]8 \underset{+4}{\longrightarrow} 12 \underset{+4}{\longrightarrow} 16[/tex]

As the second differences are the same, the sequence is quadratic and will contain an n² term.  The coefficient of n² is always half of the second difference.  Therefore, the coefficient of n² is 2.

To work out the nth term of the sequence, write out the numbers in the sequence 2n² and compare this sequence with the given sequence.

[tex]\begin{array}{|c|c|c|c|c|}\cline{1-5} n & 1 & 2 & 3 & 4\\\cline{1-5}2n^2 & 2 & 8 & 18 & 32\\\cline{1-5}\sf operation & +2&+4&+6&+8 \\\cline{1-5}\sf sequence & 4 & 12 & 24 & 40\\\cline{1-5}\end{array}[/tex]

From inspection of the table, we can see that the "operation" is to add 2n to 2n².

Therefore, the nth term is:

[tex]a_n=2n^2+2n[/tex]

To find the number of lines in the 100th cube, substitute n = 100 into the equation for the nth term:

[tex]\begin{aligned}n=100 \implies a_{100} & = 2(100)^2+2(100)\\& = 2(10000)+200)\\& = 20000+200\\& = 20200\end{aligned}[/tex]

Therefore, the 100th cube has 20,200 lines.

The graph for y=2x and y=2x + 5 is drawn at bottom.

A common technique for graphically showing data linkages is the graph. While taking up less space, a graph accomplishes the goal of conveying information that are either too many or complicated to be completely stated in the text.

A graph is a diagram or graphical representation that organizes the display of facts or values. The points on a graph are typically used to depict the relationships between two or more things.

For the given question,

y = 2x

The coordinates are -

(1,2), (2,4), (3,6), (4,8)

y=2x + 5

The coordinates are -

(1,7), (2,9), (3,11), (4,13)

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(B) 1 line can be drawn through points J and K.

So,

Therefore, (B) 1 line can be drawn through points J and K.

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The correct question is given below;
Points J and K lie in a plane. How many lines can be drawn through points J and K?

a. 0

b. 1

c. 2

d. 3

Answer:9514 1404 393

Answer:

 y = 95°

 x = 60°

Step-by-step explanation:

The applicable theorem is the one that says the exterior angle (120°) is the sum of the remote interior angles:

 120° = 25° +y

 95° = y . . . . . . . . . . subtract 25° from both sides

_____

If you like, you can get there by calculating x (or not):

 x = 180° -120°

 y = 180° -25° -x = 180° -25° -(180° -120°)

 y = 120° -25° . . . . . simplify — notice we didn't actually have to compute x

Step-by-step explanation:

The modal class of the given frequency distribution table is found as: 0-10.

The mean found for the frequencies of swimming pool  is 36.5.

The given grouped class interval is-

Time(min):                 0-10    11-20    21-30    31-40

Number of people:   68     42       20          16

Modal class: The modal class is indeed the class interval within such a set of data that has the greatest number of data points, also known as the highest frequency.

Thus, from the given frequencies, the maximum frequency that is 68 occurred for the class of 0-10.

Thus, the modal class is: 0 - 10.

For the calculation of mean;

mean = sum of all frequencies/number of frequencies

mean = (68 + 42 + 20 + 16)4

mean  = 146/4

mean = 36.5

Therefore, the mean of the frequency for the swimming pool is 36.5.

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Answer:

2

Step-by-step explanation:

Answer:

[tex] \frac{3}{4} x[/tex]

The driver that is predict to win the next drag race will be A. Driver A had a mean race time of 3.81 seconds and a standard deviation of 0.21 seconds.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation implies that the values are dispersed over a wider range, a low standard deviation shows that the values tend to be close to the mean of the collection.

Given that we are aware that standard deviations indicate variability in a data collection, the variability is greater the higher the standard deviations.

In this case, A has the higher standard deviation. Therefore, the driver that is predict to win the next drag race will be Driver A had a mean race time of 3.81 seconds and a standard deviation of 0.21 seconds.

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Answer: C

Step-by-step explanation:

The solution to the given system of equations is x = -2, y = 4, and z = -2. That is, the solution is (-2, 4, -2)

From the question, we are to solve the given system of equations

The given system of equations is

4x - y -2z = -8      ------------ (1)

-2x + 4z = -4        ------------ (2)

x + 2y = 6            ------------ (3)

From equation (2)

-2x + 4z = -4

4z = -4 + 2x

Divide through by 2

2z = -2 + x         ----------- (4)

From equation (3)

x + 2y = 6

2y = 6 - x

y = 3 - 1/2(x)      ---------- (5)

Substitute equations (4) and (5) into equation (1)

4x - y -2z = -8

4x -(3 -1/2(x)) - (-2 +x) = -8

4x -3 + 1/2(x) + 2 - x = -8

Multiply through by 2

8x - 6 + x + 4 -2x = -16

Collect like terms

8x + x -2x = -16 + 6 - 4

7x = -14

x = -14/7

x = -2

Substitute the value of x into equation (4)

2z = -2 + x

2z = -2 + (-2)

2z = -2 - 2

2z = -4

z = -4/2

z = -2

Substitute the value of x into equation (5)

y = 3 - 1/2(x)

y = 3 - 1/2(-2)

y = 3 + 1

y = 4

Hence, the solution to the given system of equations is x = -2, y = 4, and z = -2. That is, (-2, 4, -2)

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The cost function expressed as the number of times spent calling is cost function = c(x) = 31 + 0.35x

The cost function that can be written as per the number of units that she used is given as

c(x) = a + bx

x = 320

a + 320b = 143

When x = 710

we would have

a + 710b = 279

subtract the equations

710 b - 320 b = 279 - 143

390b = 136

b = 136/390

= 0.35

Put the value of b in equation 1

a + 320 x 0.35 = 143

a + 112 = 143

a = 31

cost function =

c(x) = 31 + 0.35x

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A) Express the monthly cost C as a function of a, the number of minutes of calling time she used.

The point slope form of the given slope intercept form is:

y ₋ 9 = ₋1/3 (x ₋ 0)

Given, we have the slope intercept form as :

y = ₋1/3x ₊ 9

To convert the given form into point slope form we first need to determine the slope and the point.

A straight line is represented as a point on the line and its slope in point slope form. That means using the point slope form, one may find the equation of a line passing through the points (x ₁, y ₁) and having a slope of "m".

from the given equation y = ₋1/3x ₊ 9

the above equation is in the form of: y = mx ₊ b

slope (m) = ₋1/3

y intercept (b) = 9

x intercept = 0

Therefore, the points are: (0,9) = (x₁ , y₁)

hence the point slope form is:

y - y₁ = m(x ₋ x₁)

y ₋ 9 = -1/3(x ₋ 0)

hence we get the required point slope form.

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Answer:

10p, assuming p is a variable

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$16000\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases}[/tex]

[tex]A=16000\left(1+\frac{0.03}{1}\right)^{1\cdot 2} \implies A = 16974.4~\hfill \underset{earned~interest}{\stackrel{16974.4~~ - ~~16000}{ 974.40}}[/tex]

The required solution from the graph that variable X and Y have a strong negative association.

Correlation is a statistical measure that expresses the extent to which two variables are linearly related. Correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data.

Given:

The given graph attached below .The graph is between variable x and variable y.

According to given question we have

The graph slopes downwards as variable X increases, hence we have a negative relationship between X and Y.

The graph shows strong negative because we see a correlation of downwards sloping.

The trend produced by the graph is straight forward with points close to one another, hence forming a well - defined pattern. These depicts a Strong association between the variable.

Therefore, the required solution from the graph that variable X and Y have a strong negative association.

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Answer:

529 cm

Step-by-step explanation:

Given problem is,

→ 165cm + 567cm - 203cm

Let's solve the problem,

→ (165 + 567) - 203

→ 732 - 203

→ 529 cm

Hence, solution is 529 cm.

Explanation/Answer:

Use long addition and long subtraction to solve

→ [tex]165 + 567\\5 + 7 = [1]2\\6 + 6 = 1+2 = 3\\1 + 5 = 6 + 1 = 7\\700 + 30 + 2 = \bold{732}[/tex]

→ [tex]732 - 203\\3 - 12 = 9(Because~of~borrowing)\\2 - 0 = 2(Borrowed~1~for~3-2)\\7 - 2 = 5\\500 + 20 + 9 = \bold{529}[/tex]

Thus,

your answer is 529 cm.

Answer:

20 or - 20 is the answer

Step-by-step explanation:

20×20 = 400

or

-20 × -20 = 400

4 Feet = 121.92 cm.

The formula is to multiply the length value by 30.48.

Feet (ft) Centimeters (cm)

1 ft        30.48 cm

2 ft        60.96 cm

3 ft        91.44 cm

4 ft        121.92 cm

[tex]S^{C}[/tex] ∩ T sets is the option C.

Venn diagram is an illustration that uses circles to show the relationships among things or finite groups of things.

A set is a collection of items.

S is a set and T is also a set.

[tex]S^{C}[/tex] simply means S complement.

Complement of S simply means not in S. It means everything not in S.

∩ simply means intersection

Therefore,

[tex]S^{C}[/tex] ∩ T implies not in S intersection T sets.

Hence, [tex]S^{C}[/tex] ∩ T is the option C.

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Based on the information provided, we have the following:

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:

Next, we would determine whether or not the given values of variable x are solutions to the given inequality by evaluating as follows:

When x = 10, we have:

15 < 10; No, it is not a solution.

When x = 16, we have:

15 < 16; Yes, it is not a solution.

When x = 13, we have:

15 < 13; No, it is not a solution.

When x = 20, we have:

15 < 20; Yes, it is not a solution.

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Complete Question:

For each value of x, determine whether it is a solution to  15 < x.

Is it a solution?

10: yes or no

16: yes or no

13: yes or no

20: yes or no