Choose the correct description of the graph of the compound inequality

3x + 2 > 2 and 3x less than or equal to 6.

A) A number line with an open circle on 0, shading to the left, and a closed circle on 2, shading to the right
B) A number line with a closed circle on 0, shading to the left, and an open circle on 2, shading to the right
C) A number line with a closed circle on 0, an open circle on 2, and shading in between D) A number line with an open circle on 0, a closed circle on 2, and shading in between

Answer:

{0, 10, 100, 110} = {x : x = 10(n + k), n = 0, 10 and k = 0, 1}

Step-by-step explanation:

We have been given the set {0, 00, 10, 000, 010, 100, 110} which is in the Roster form.

Since repetition is not allowed in a set, let's rewrite the given set as:

{0, 10, 100, 110}

Note that the elements of the set are binary.

Now, let's write the set builder form of the above set as below:

{0, 10, 100, 110} = {x : x is an even binary number and its decimal equivalent is less than 7}

The bear lost an average of 8.6 pounds per month during hibernation. This was calculated by dividing the total weight loss (64.4 pounds) by the total duration of hibernation (7.5 months).

The student's question pertains to determining an average over a period of time. In this case, the black bear's average weight loss per month during hibernation. Given that the bear lost a total of 64.4 pounds in 7 1/2 or 7.5 months, we find the average by dividing the total weight loss by the total months. So, 64.4 pounds ÷ 7.5 months = approximately 8.59 pounds. When rounded to the nearest tenth, the black bear lost an average of 8.6 pounds per month during hibernation.

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A fact family is a group of math facts using the same numbers.

Example:

Using the numbers: 5, and 2,

5 ∙ 2 = 10

2 ∙ 5 = 10

10 ÷ 2 = 5

10 ÷ 5 = 2

A fact family is a set of related math facts using the same numbers to show the relationship between addition and subtraction or multiplication and division.

Definition of a Fact Family

A fact family in mathematics consists of a group of related math facts that use the same set of numbers. Specifically, in the context of addition and subtraction or multiplication and division, fact families demonstrate the relationship between these operations. For example, with the numbers 2, 4, and 6, a fact family would include the following equations: 2 + 4 = 6, 4 + 2 = 6, 6 - 2 = 4, and 6 - 4 = 2. Each pair of arithmetical operations, being related by inverse functions, create the concept of a fact family, illustrating how numbers and operations are interconnected.

Answer:

The fare in 1979 was $1.88.

Step-by-step explanation:

In 1999, bus fare in Atlanta was $4.70.

In 1979, the fare was 2/5 the fare in 1999.

This means the fare in 1979 was 2/5 of $4.70.

This means [tex]\frac{2}{5}\times4.70= 1.88[/tex] dollars

Hence, the fare in 1979 was $1.88.

Let us first describe how partial product and regrouping are alike:

Partial Products and Regrouping are alike because both methods are multiplied by one number and if the product of the number has 2 digits it can be carried.

Now let us discuss how they are different:

Partial Products and Regrouping are different because Partial Products are doing multiplication step by step and regrouping is regular multiplication.

Hope it helps.

-3x + 5 > 17      |subtract 5 from both sides

-3x > 12       |change the signs

3x < -12      |divide both sides by 3

x = 5 + y

4x = 5y

Because we already have a value for x, we can solve for the exact value of y.

4(5 + y) = 5y

Distributive property.

20 + 4y = 5y

Subtract 4y from both sides.

y = 20

Now that we have the exact value of y, we can solve for x.

x = 5 + 20

x = 25

Answer:

Option C.  [tex]6.3[/tex]

Step-by-step explanation:

we know that

To find the modulus of a complex number, apply the Pythagoras theorem

Let

c-----> the modulus

[tex]c=\sqrt{(-2)^{2}+(-6)^{2}}[/tex]

[tex]c=\sqrt{4+36}[/tex]

[tex]c=\sqrt{40}=6.3[/tex]

Answer:

1,728 × 10 to power twelve

Step-by-step explanation:

(5.4 × 100000000)(3.2×1000000)

(540,000,000)(3,200,000)

1,728,000,000,000,000

1,728 × 10 to power twelve

Answer:

The constant of proportionality is 3/2

B is correct.

Step-by-step explanation:

We are given a table of Time (x) and Number of pages (y)

In x minutes printer prints y number of pages.

As we know the it would be direct proportion because if time increase number of printing page increase.

Thus, y=kx

x is time ( independent variable)

y is number of pages (dependent variable)

k is constant of proportionality.

From table we will take the value of x and y and to solve for k

x=2, y=3

3=2k

[tex]k=\dfrac{3}{2}[/tex]

Hence, The constant of proportionality is 3/2

Answer:

Option B) [tex]\frac{3}{2}[/tex]      

Step-by-step explanation:

We are given the following information in the question:

A table showing the number of pages printed(y) in time(x).

x:       2       6       8       18

y:       3        9      12       27

We have to find the constant of variation.

Constant of variation

Constant of variation =

[tex]\displaystyle\frac{y_2-y_2}{x_2-x_1}\\\\(x_1.y_1), (x_2,y_2)\text{ are the points belonging to the given table.}[/tex]

Putting the values, we get:

[tex]\text{Constant of variaion} = \displaystyle\frac{9-3}{6-2} = \frac{12-9}{8-6} = \frac{27-12}{18-8} = \frac{3}{2}[/tex]

Hence, the constant of variation is [tex]\frac{3}{2}[/tex]

To make an equation into slope intercept form, Y must have no coefficient.

So to solve

[tex]3y + 5x = -15\\3y = -5x-15\\y = -\frac{5}{3}x-3[/tex]

Answer:

I think it is Option C

Because if you do it then you get it XD

Find out how much money one woman would pay a year by multiplying $140 and 12 months together like this.

140×12=1680

Next, find out how much she'd be paying for 20 years by multiplying the product by the years like this.

1680×20=33600

Now, to find out how much money all 1000 women are paying for the 20 years, multiply the previous product with the number of women.

33600×1000=3600000

Therefore, all 1000 women would be paying $3,600,000 total during the 20 year time period.

HOPE THIS HELPS!

That would be 236. Quotient means divide the numbers from one another.

Hope I could help! :)

Answer,

1,180/5 = 235

Hope this helps :-)

The absolute value of -19, expressed as |-19|, is +19.  That of |+17| is 17.  We are thus left with +19 - 17, or 2.

Answer:

The florist should make 9 Easter bouquet and 6 Spring bouquet to maximize the profit.

Step-by-step explanation:

Suppose, the number of the Easter bouquet is [tex]x[/tex] and the number of Spring bouquet is [tex]y[/tex].

The Easter bouquet requires 10 jonquils and 20 daisies, and the Spring bouquet requires 5 jonquils and 20 daisies.

So, the total number of jonquils required [tex]=10x+5y[/tex]

and the total number of daisies required [tex]=20x+20y[/tex]

Given that, there are total 120 jonquils and 300 daisies are available. So, the constraints will be........

[tex]10x+5y\leq 120;\\ \\ 20x+20y\leq 300;\\ \\ x\geq 0; y\geq 0[/tex]

(As the number of each type of bouquet can't be negative)

Now, each Easter bouquet produces a profit of $1.50 and each Spring bouquet produces a profit of $1. So, the profit function will be:  [tex]P=1.50x+1y[/tex]

If we graph the constraints now, then the vertices of the common shaded region are:      [tex](0,0), (12,0), (9,6)[/tex] and [tex](0,15)[/tex]

For (0, 0) ⇒  [tex]P=1.50(0)+1(0)=0[/tex]

For (12, 0) ⇒  [tex]P=1.50(12)+1(0)=18[/tex]

For (9, 6) ⇒  [tex]P=1.50(9)+1(6)=13.50+6= 19.50[/tex]

For (0, 15) ⇒  [tex]P=1.50(0)+1(15)=15[/tex]

So, the profit will be maximum when  [tex]x=9[/tex] and [tex]y=6[/tex]

Thus, the florist should make 9 Easter bouquet and 6 Spring bouquet to maximize the profit.

Answer:

0 - 0.23 - 1.02 - 3/2 - 1.89 - 1.98 - 13/5

Step-by-step explanation:

We have to put the number in an increasin order:

0 - 0.23 - 1.02 - 3/2 - 1.89 - 1.98 - 13/5 or

0 - 0.23 - 1.02 - 1.5 - 1.89 - 1.98 - 2.6

CF + FE = CE.  Since F is the midpoint, then CF = FE, So, CF + CF = CE ⇒ 2CF = CE

Now, set up the proportion:

[tex]\frac{BF}{CF} = \frac{AE}{CE}[/tex]

[tex]\frac{23}{CF} = \frac{5x - 4}{2CF}[/tex]    substituted known values

23(2CF) = CF(5x - 4)   cross multiplied

23(2) = 5x - 4      divided both sides by CF

46 = 5x - 4    simplified

50 = 5x         added 4 to both sides

10 = x           divided both sides by 5

Answer: 10

-1 plz mark brainliest

Find 4 on the x-line (the horizontal line).

Find where the red line crosses through that is where the 4 is at.

Once you find it, trace the line in which the 4 is x, and find the y.

The line gives (4, -1)

Find the slope of the line.

(4, -1) = (x₁ , y₁)

(0, 2) = (x₂ , y₂)

slope = (y₂ - y₁)/(x₂ - x₁) = (2 - (-1)/(0 - 4) = 3/-4

y = (-3/4)x + b

Plug in a point, for example (0, 2)

2 = (-3/4)0 + b

Simplify

2 = 0 + b

b = 2

Plug in 2 for b

---------------------------------------------------------------------------------------------------------------------------

f(x) = (-3/4)x + 2 is your equation.

Now, plug in 4 for x (as you are solving for x.

f(x) = (-3/4)(4) + 2

Simplify

f(x) = -3 + 2

f(x) = -1

-1 is your function when x = 4

hope this helps

Answer:

Step-by-step explanation:

Given a ladder AP of length = 10m is kept against a wall AB such that it reaches a window at A, such that AB=6m .

Consider a triangle ABP

By Pythagoras theorem,

[tex](Hypotenuse)^2=(Perpendicular)^2+(Base)^2\\\\i.e.\ (10)^2=(6)^2+(BP)^2\\\Rightarrow100=36+(BP)^2\\\Rightarrow(BP)^2=64\\\Rightarrow\ BP=8\ m[/tex]

Now,The same ladder reaches another window at C when it is rested against the wall opposite to AB .

Let D be a point which represent the foot of the second building CD on the ground which is 14 m away from B.

∴ BD = BP+ PD              

⇒ 14 = 8+PD

⇒PD =14-8 = 6m

Now consider another triangle CPD

Again by Pythagoras theorem,

[tex](Hypotenuse)^2=(Perpendicular)^2+(Base)^2\\\\i.e.\ (CP)^2=(CD)^2+(PD)^2\\\Rightarrow\ (10)^2=(CD)^2+(6)^2\\\\\Rightarrow100=(CD)^2+36\\\Rightarrow(CD)^2=64\\\Rightarrow\ CD=8\ m[/tex]

Therefore, the height of the window at C from the ground CD=8m

Answer:

Length = 10

Step-by-step explanation:

Normally you would use

d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )

But the 2 y values are the same so y2 - y1 = 0.

d then becomes sqrt(x2 - x1)^2

d = (x2 - x1) because the square root of (x2 - x1)^2 is just (x2 - x1)

x2 = 7

x1 = -3

d = (7 - - 3) = 10

5.34, because the 3 is in the tenths place

To find the largest number among 5.034, 5.34, and 5.043, let's compare these numbers one-by-one:

1. First, we compare 5.034 and 5.34. Since 0.34 is larger than 0.034, therefore, 5.34 is larger than 5.034.

2. Next, we need to compare this larger number (5.34) with the remaining number 5.043. Here, 0.34 is also larger than 0.043.

So, after these comparisons, we see that 5.34 turns out to be the largest number among the three numbers 5.034, 5.34, and 5.043.

-16 + 8y + {-3} =

-16 + 8y - 3 =

8y - 19

X<17, if i got it correct

Answer:

3 is less than or equal to x-9 is less than or equal to.

3<= x-9<=8

<= these mean less than or equal to.

hope I helped you!

Answer:

The last ONE!!!

Step-by-step explanation:

In the attachment!

Answer:

 y > -3.

5y ≥ -4x -10.

Step-by-step explanation:

Given : Graph.

To find : Which system of linear inequalities is graphed.

Solution: We have given graph with two line one is dotted and other is solid.

Both the line are shaded up.

For dotted line :

We show the line by y = mx + b

Where, m = slope of line and b = y intercept .

The dotted line represent by the greater sign , slope of dotted line is zero and y intercept is -3.

So, equation would be y > 0x - 3.

y > -3.

For solid line : It represented by the greater than equal to sign for solid and shaded up. y intercept of solid line is -2.

Then equation would be 5y ≥ -4x -10.

Therefore, Equation would be  y > -3.

5y ≥ -4x -10.

The company makes a $40 profit per dozen sweaters sold. With selling 3000 dozen, they make a total profit of $120,000. Economies of scale are not determinable with the given information.

The subject of this question is Business, specifically related to cost, revenue, and profit calculations. In this case, the cost to manufacture a dozen sweaters is $60, and these are sold for $100 per dozen, creating a profit of $40 per dozen. If the manufacturer sells 3000 dozen, the total revenue is the number of items sold times the price, which is 3000 dozen * $100 per dozen = $300,000. The total cost is the number of items made times the cost to manufacture each item, which is 3000 dozen * $60 per dozen = $180,000. Subtracting the total cost from the total revenue gives the total profit, which in this case is $300,000 - $180,000 = $120,000.

Economies of scale, as shown in Figure 7.9, shows how the cost of manufacturing decreases as more items are produced. In this scenario, however, we are not given sufficient information to determine if the sweater manufacturer enjoys economies of scale.

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The answer is D Because -0.16 + 0.53 = 0.37

To find the unknown number, one must solve the equation (10 + x) / 4 = 17, which simplifies to x = 58.

The student has asked to find a number such that when 10 is added to this number and the sum is divided by four, the result is 17. This can be written as an equation: (10 + x) / 4 = 17, where x represents the unknown number. To solve for x, we first multiply both sides of the equation by 4 to get rid of the denominator, resulting in 10 + x = 68. Then, we subtract 10 from both sides to isolate the variable, yielding x = 68 - 10. Therefore, x equals 58.

The value of x is [tex]-1/11[/tex]

To find the value of xin the equation [tex]34x-12x+5=3[/tex], follow these steps:

1. Combine like terms on the left-hand side:

[tex]34x-12x+5=3[/tex]

2. Simplify the equation:

[tex]22x+5=322x + 5 = 322x+5=3[/tex]

3. Subtract 5 from both sides to isolate the term with xxx:

[tex]22x=3-522x = 3 \\- 522x=3-5 22x\\=-222x = -222x=−2[/tex]

4. Divide both sides by 22 to solve for xxx:

[tex]x=−222x \\= \frac{-2}{22}x=22-2 x\\=-111x =\frac{-1}{11}x=\\-1/11[/tex]

So, the value of x is [tex]-1/11[/tex]

Answer:

Louise used the most flour.

Step-by-step explanation:

Okay so first off 12% of 5 pounds would be 0.6 pounds. So we can put that Stan used 0.6 pounds. Then 0.11 of the total flour would be the same as 11% of 5 pounds, which is 0.55 pounds. So Liam used 0.55 pounds. We already know that Louise used 0.7 pounds of flour so we can order it like this.

Louise=0.7 Pounds

Stan=0.6 Pounds

Liam=0.55 Pounds

Answer:

Louise used the most flour.  

Louise   =   00.70 Pounds

Stan      =   00.60 Pounds

Liam      =   00.55 Pounds

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