Question 18 (5 points)
Which one of the following statements expresses a true proportion?
A) 3:4 = 9:12
B) 2:1 = 1:2
C) 7:9 = 8:9
D) 54:9 = 6:3

2c - 49 -200 for problem a

c + 64c -200 is problem b

Answer:

20 represent the cost per variable inputs

Step-by-step explanation:

C(x) = 20(4x) + 500

Total cost is the addition of variable cost and fixed cost

Fixed cost are cost that do not change during the production process such as machinery, furnitures and fittings.

Variable cost are cost of production that changes with production process such as cost of labor, cost of raw materials.

C(x) = 20(4x) + 500

C(x) represent the total cost

20(4x) represent the variable cost

500 represent the fixed cost

From the variable cost 20(4x)

20 represent the cost per variable inputs

Answer:

No, correct answer is D

Step-by-step explanation:

x² = 81/144

the squared sign crosses over and becomes root

x = √81/144

x = 9/12

x = 3/4

D

Answer:

Y=9

Step-by-step explanation:

Answer:

Y=9 is your answer

They each have two chocolates so those numbers of chocolates are the same.

Not counting the tubs, Arthur has one bag of chocolates and 25 loose chocolates; Oliver has two bags and 7 loose. If they both have the same total number of chocolates, then the difference in the number of loose chocolates they have (25-7=18) must be the number of chocolates in a bag.

There is no information given, in the problem as you show it, that allows us to determine the number of chocolates in a tub.

Answers: chocolates in a bag: 18. chocolates in a tub: unknown.

Answer:

[tex]\frac{-2±\sqrt{3} }{2}[/tex]

dec form: -0.13

Step-by-step explanation:

Answer:

[tex](x,y) = (\frac{28}{5},\frac{2}{5})[/tex]

Step-by-step explanation:

Given

A = (4,-2)

B = (12,-10)

Ration = 1/4

Required

Determine the coordinate of point at 1 million buys

The formula to use is as follows:

[tex](x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

Where m and n are the ratios

i.e.

[tex]\frac{m}{n} = \frac{1}{4}[/tex]

Convert to ratios

[tex]m:n = 1:4[/tex]

Considering A(4,-2) and B(12,10); we have

[tex](x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

[tex](x,y) = (\frac{1 * 12 + 4 * 4}{4+1},\frac{1*10 + 4*-2}{4+1})[/tex]

[tex](x,y) = (\frac{12 + 16}{5},\frac{10 -8}{5})[/tex]

[tex](x,y) = (\frac{28}{5},\frac{2}{5})[/tex]

Hence, the coordinate of the point is [tex](x,y) = (\frac{28}{5},\frac{2}{5})[/tex]

Answer:57465

Step-by-step explanation:

Answer:

The highest point reached by the firework is approximately 30.6 meters

Step-by-step explanation:

The upward velocity of the fireworks is given as 24.5 m/s

The equation of projectile motion for an object fired vertically upwards can be written as follows;

v² = u² - 2·g·s

Where;

v = The final velocity of the motion = 0 m/s at maximum height

u = The final velocity of the motion =  24.5 m/s

g = Acceleration due to gravity = 9.81 m/s²

s = The height reached = (The highest point reached by the firework)

By substituting the values, we have;

(0 m/s)² = (24.5 m/s)² - 2 × 9.81 m/s² × s

Which gives;

2 × 9.81 m/s² × s = (24.5 m/s)² = 600.25 m²/s²

19.62 m/s² × s = 600.25 m²/s²

s = 600.25 m²/s²/(19.62 m/s²) = 30.594 m ≈ 30.6 meters

The highest point reached by the firework is approximately 30.6 meters

I would compute sqrt(1 + 160pi^2) first to get approximately 39.75093337

Add this to 1 and we have 40.75093337

Then divide over 2pi to get a final approximate result of 6.48571248

So x = 6.48571248 is one approximate solution

In short, I computed [tex]\frac{1+\sqrt{1+160\pi^2}}{2\pi}[/tex] only focusing on the plus for now.

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

If you were to compute [tex]\frac{1-\sqrt{1+160\pi^2}}{2\pi}[/tex] you should get roughly -6.167402596 as your other solution. Each solution can then be plugged into the original equation to check if you get 0 or not. You likely won't land exactly on 0 but you'll get close enough.

Answer:

x = 6.49

Step-by-step explanation:

1st is to calculate [tex]\sqrt{1 + 160 pi^2}[/tex] = 39.75 then add 1 = 40.75

2nd divide it by 2pi = 40.75/(2pi) = 6.49

therefore your x = 6.49

the equation would look like

   1 ± [tex]\sqrt{1 + 160 pi^2}[/tex]            1  ±  39.75

= --------------------------  =  ---------------- = 6.49

           2*pi                        6.28

[tex]173.45 = 1.7345 × {10}^{2} [/tex]

missing number should be 2

hope this helps ^-^

Answer: 214 - 5d

Which of the following real-world scenarios could be represented by the algebraic expression 7.65 - 2p? Select all that apply.

Answers:

1) You buy 2 equally priced party favors, spending from your $7.65 gift card.

4) you give Tim twice the amount of face paint he had from your supply of 7.65 ounces.

You decide to order pizzas for your party. A large pizza is cut into 12 slices. If each pizza is shared evenly among G guests, which expression represents the number of slices that each guest will eat?

Answer: 12/g

(these are the rest of the answers for the rest of the 7 slides of "Writing expression" assignment on e2020

4th: $25 dollars is the constant team so the cost for h hours is 15h and the correct expression is 15h+25 and 15(h+25) would be interpreted as adding 25 hours to the number of hours rented, and then multiplying by 15.

5th: m + 2m - s

6th: No it's not true. Each table began with x/8 balloons. If two pop then you will not be able to distribute it equally among 8 tables. There are x/8 - 2 balloons left. Not all tables will be equal.

7th: n - (1/4)n - 15

8th: 12n/r

9th: (x+3)/5

10th: (3r)/2 is what the second DJ had. 3 times as many songs as 3r and half as many is translated as division to 2 so half as many is translated as multiplication by 1/2. So therefore, the second DJ had (3r)/2 songs.

Step-by-step explanation:

Answer:

214-5d

Step-by-step explanation:

Answer:

w = 6

Step-by-step explanation:

5w-26 = - 4 (w - 7)   multiply -4 through

5w - 26 = - 4w + 28  add 4w to each side to cancel it out on the right

5w + 4w - 26 = 28  

9w - 26 = 28  Now add 26 to each side

9w - 26 + 26 = 28 + 26

9w = 54   Now divide each side by 9

(9w)/9 = 54/9

w = 6

Answer:

Hey there!

When multiplying fractions, we multiply the numerator by the numerator, and denominator by denominator.

1 x [tex]\sqrt{3}+1[/tex] = [tex]\sqrt{3}+1[/tex]

[tex]\sqrt{3} -1 (\sqrt{3} +1)[/tex] = 2

Thus, the answer is ([tex]\sqrt{3}+1[/tex])/2

Let me know if this helps :)

Answer:

0< k < 2

Step-by-step explanation:

x = 2k

3x + 2y = 12

Substitute the first equation into the second equation

3(2k) +2y = 12

6k+2y = 12

Subtract 6k from each side

2y = 12 -6k

Divide by 2

y = 6 - 3k

For this to be in the first quadrant y > 0

6 - 3k > 0

6 > 3k

Divide by 3

2 > k

The lower limit is when it reaches the axis or when k=0

0 <k <2

Checking for x

x = 2k

If 0<k <2 then it will be in the first quadrant

Answer:

k = any value between 0 and 2

Step-by-step explanation:

We can start by considering the graph of 3x + 2y = 12. If you convert this line into point - slope form it will have a negative slope, and hence will extend infinitely in the negative direction. Therefore if we calculate the x - intercept, k will be bound by 0 to the x - intercept if their intersection lies in the first quadrant.

3x + 2y = 12,

3x + 2(0) = 12,

3x = 12,

x = 4 - this is the x - intercept

As x = 4 is the x - intercept, k can be any value between 0 and 4, and will lie in the first quadrant. But remember that we have the equation " x = 2k. " k will only be between 0 and 4 is the equation is " x = k. "

- Therefore k will instead be any positive value between 0 and 2.

Answer:

never

Step-by-step explanation:

Reflections do not change the size or shape, just the location of the figure

Answer:

x=20

Step-by-step explanation:

Substitute 15 for y

it will be 2/3 multiplied by 15 then you get 10

you add 10 to 30 getting 40

then you divide 40 by 1/2 getting 20

:)))

Answer:

x = 80

Step-by-step explanation:

First, plug the 15 into the y.

[tex]1/2x - 2/3(15) = 30[/tex]

Use PEMDAS to solve the parentheses, 2/3 of 15 is 10.

[tex]1/2x - 10 = 30[/tex]

Add 10 to both sides of the equation.

[tex]1/2x = 40[/tex]

Divide each side by 1/2 (or multiply by it's reciprocal, which is 2)

That will get you your answer of x = 80

Answer:

y = 5 units

Step-by-step explanation:

It is given from the image that both the polygons are similar.

Corresponding sides of the similar polygons will be proportional.

By this property ratio of the sides of the given polygons will be,

[tex]\frac{4}{x}=\frac{z}{9}=\frac{2}{6}=\frac{3}{w}=\frac{y}{15}[/tex]

We have to find the value of y.

Therefore, we will take the ratio,

[tex]\frac{2}{6}=\frac{y}{15}[/tex]

y = [tex]\frac{2\times 15}{6}[/tex]

y = 5

Measure of side y = 5 units will be the answer.

third picture shows cube root of 64=4

Answer:

4th and 5th figures are attached below. There would be about 400 dots in the 100th figure.

Answer:

Three collinear points

Step-by-step explanation:

AC's length has been given to us as 15 units and AB is 10 units so to find BC you will need to subtract AC from AB

so let's subtract

15-10

= 5 units

So , BC is 5 units !

option C!!!

Answer:

Step-by-step explanation:

      10            BC

A-----------B--------------C

|<-----------15------------>|

10 + BC = 15

BC = 15 - 10

Answer:

176.8

Step-by-step explanation:

If you multiply all three numbers you get 176.8

Heres a Simple Answer:

1. The one on the left follows the Vertical Line test, while the one on the right doesn't

2. A function is either y = mx+b, or a Nonlinear function. The one on the right is a Parabolic Function becuase it has the x^2 on it. The right one is y^2, which is not a function.

(Not very good, but I gtg so I rushed.)

Hi there! Hopefully this helps!

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[tex]4.5(5.6 \times 2) + 1.2[/tex]

Multiply 4.5 and 5.6 to get 25.2.

[tex]25.2 \times 2 + 1.2 = 51.6[/tex]

Multiply 25.2 and 2 to get 50.4

[tex]50.4 + 1.2 = 51.6[/tex]

[tex]\boxed{51.6}[/tex]

To solve this, we will first use order of operations to multiply the terms inside the parentheses, multiply the product by the term outside of the parentheses, and then add from left to right.

5.6 * 2 = 11.2

11.2 * 4.5 = 50.4

50.4 + 1.2 = 51.6

Therefore, 51.6 is the solution.

Answers: 16 states and [tex]\frac{16}{50}[/tex]

Explanation:

Question A involves finding the number of states that do not have a store operated by company A. This can be easily found by subtracting the number of states where the company operates stores, which is 34 states, from the total of states, which is 50.

50 - 34 = 16

This means 16 states do not have a store operated by this company

Question B involves writing a fraction to represent the number of states that do not have a store operated by the company. A fraction includes a numerator (top number) that represents the parts selected (number of states without a store: 16), and a denominator, which is the total of parts (total of states: 50). Thus, the fraction is [tex]\frac{16}{50}[/tex]. Moreover, this can be simplified as [tex]\frac{8}{25}[/tex] by dividing both numbers by the seame number (2).

Answer:

5040

Step-by-step explanation:

Given

Digits: 0 - 9

Required

Number of combinations of 4 digits where no repetition is allowed

First, we need to count the number of digits

[tex]Number = 10[/tex]

Then, we perform the following analysis.

The first space can contain any of the 10 digits;

The second space can contain any of the remaining 9 digits;

The third space can contain any of the remaining 8 digits;

The fourth space can contain any of the 7 digits;

Hence; the umber of combination is

[tex]Number = 10 * 9 * 8 * 7[/tex]

[tex]Number = 5040[/tex]

Hence, there are 5040 possible combinations

ΔABC ~ ΔDEF

that means the ratio of DF to AC = the ratio of DE to AB

[tex]x:3.5 \\6:4[/tex]

cross multiply

[tex]4x=6(3.5)\\4x=21\\x=\frac{21}{4}\\ x= 5.25[/tex]

so DF = 5.25 cm