Mara carried water bottles to the field to share with her team at halftime . the water bottles weighed a total of 60x^2+48x+24 ounces which factorization could represent the number of water bottles and weight of each water bottle

4x6-24/4

24-24/4

24-6

Answer: 18

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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Answer:

z = 131

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

z - 49 - 13 = 59

Step 2: Solve for z

Answer:

[tex] \small \sf \: z = \fbox{121}[/tex]

Step-by-step explanation:

z - 49 - 13 = 59

We need to find z.

solve for z

z - 49 - 13 = 59

z - 62 = 59

z - 62 + 62 = 59 + 62

z = 59 + 62

z = 121

a. 2x+3x-6=10+4x

5x-6=10+4x

5x-4x=10+6

x=16

one solution

b. 17+5x=23+4x-6+x

17+5x=17+5x

infinite number of solutions

c. 7x+4=5x+8+2x-10

7x+4=7x-2

no solution

(a) 2x + 3x - 6 = 10 + 4x  ---> Answer: x = 16, it has one solution, it is an identity.

Adding the like terms on the same side of the equation to solve for x:

2x + 3x - 4x = 10 + 6

x = 16

(b) 17 + 5x = 23 + 4x - 6 + x ---> Answer: it has infinite number of solutions, it is a contradiction

Adding the like terms on the same side of the equation to solve for x:

5x - 4x - x = 23 - 17 - 6

5x - 5x = 6 - 6 (this equation is cancelling everything on each side so it can not be true no matter what value we assign, therefore it has infinite number of solution)

(c) 7x + 4 = 5x + 8 + 2x - 10 ---> Answer: no solution, its a contradiction.

Adding the like terms on the same side of the equation to solve for x:

7x - 5x - 2x = -10 + 8 - 4

7x - 7x = -6 (the terms of x are cancelled by each other, therefore no solution.

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.

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:

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.

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!

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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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

5. Simple multiplication: 12 * 4 = 48 books in total

6. Simple multiplication: 29 * 4 = 116 cards in total

7. You could turn 5 * 198 into (5 * 200) - (5 * 10) using the Distributive Property and use mental math to solve

8. subtraction, multiplication

9. Simple multiplication: 5 * 78 = $3.90, so C

The slope is the factor in front of x, so slope is 9.

The y intercept is 7 (that's the point of cross the y axis, where x=0)

There are multiple definitions of "standard form" for lines, so here are the two i can think of:

9x - y = -7    (the implicit function form)

or

y-7 = 9*(x-0)  (the point-slope form)

Lmk if you have questions.

Answer:

[tex]\frac{1}{5} -12=-7[/tex]

Answer:

y = 5x

D is the correct option.

Step-by-step explanation:

We have been given that sheltie puppy gets 2.5 cups of food twice per day.

It means that in a day she eats 5 cups of food. It means the rate is 5 cups of food per day.

The equation will be linear.

Let y be the number of cups of food she eat and x is the number of days.

Hence, we have

Slope = 5

And the equation that represents the number of cups of food she eats is given by

y = 5x

D is the correct option.

Answer:

D) y = 5x

Step-by-step explanation:

D is the correct answer.

Hope this helps!

23s+56s=21

79s=21

79/79    21/79

s=0.265822785

1.

Platinum Gym charges a one-time registration fee of $60, and membership is $20 a month.

Super Fit charges a one-time registration fee of $150, and membership is $10 a month.

(a) Write a expression to represent the membership cost of Platinum Gym for x months.

Let x = months

20x + 60 is your expression

(b) Write an expression to represent the membership cost of Super Fit for x months

Let x = months

10x + 150 is your expression

(c) You are solving for both one month and twelve months of membership.

One month: Plug in 1 for x.

20(1) + 60 = 20 + 60 = 80

10(1) + 150 = 10 + 150 = 160

Platinum Gym is cheaper overall for one month by $80

One year: There are twelve months in a year. Plug in 12 for x.

20(12) + 60 = 240 + 60 = 300

10(12) + 150 = 120 + 150 = 270

Super Fit is cheaper than Platinum Gym overall for one year by $30

(d) Set the two expression equal to each other.

20x + 60 = 10x + 150

Isolate the x. Subtract 10x and 60 from both sides

20x (-10x) + 60 (-60) = 10x (-10x) + 150 (-60)

20x - 10x = 150 - 60

Simplify

20x - 10x = 150 - 60

10x = 90

Isolate the x. Divide 10 from both sides

10x/10 = 90/10

x = 9

It takes 9 months for the cost to be the same.

(e) It really depends on how long you want to work out at a gym. If you are working out for less than a year, than Platinum Gym is the better choice. If more than a year, then Super Fit is the better choice.

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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.

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

PLZ GIVE BRAINLYEST!!!

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

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}

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

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.

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]

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

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

-3x > 12       |change the signs

3x < -12      |divide both sides by 3

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.

The answer is D Because -0.16 + 0.53 = 0.37

-16 + 8y + {-3} =

-16 + 8y - 3 =

8y - 19