Proportional Relationships Please help :3
Worth 25 per answer (i think cause i put 50 points)

Answer:

Marta’s equation has a positive y-intercept, but the scatterplot suggests a negative y-intercept.

Step-by-step explanation:

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Sorry if this does not help

Answer:

A

Step-by-step explanation:

D (0, 5), (5, 0)

Anything with -5 and 0 will not satisfy x+y=5. This eliminates the first three choices.

___

It is easiest to check the offered answers. You can also solve this graphically, or by solving the simultaneous equations.

You can, for example, square the first equation and subtract the second:

... (x+y)² -(x²+y²) = 5² -25

... 2xy = 0

This will be true for x=0 or for y=0, so (0, 5) and (5, 0) are solutions to the pair of equations.

To find the solution set to the given system, substitute the value of x into the second equation, factor, and solve for y. The solution set is (5,0).

To find the solution set to the given system of equations, we can solve them simultaneously. From the first equation, we have x = 5 - y. Substituting this value of x into the second equation, we get (5 - y)^2 + y^2 = 25. Expanding and simplifying this equation gives us 2y^2 - 10y = 0. Factoring out y, we have y(2y - 10) = 0. So either y = 0 or 2y - 10 = 0. Solving the second equation for y, we get y = 5.

Therefore, the solution set to the system of equations is (5,0).

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To find out if a set satisfies the inequality, you can either plug in the points into the equation, or you can plug in the points into the graph.

Any point in the shaded area and on the line satisfy the inequality. If the inequality had a sign of < or >, then the point can not be on the line, only in the shaded area.

A.) This is a solution because they are all in the shaded area

B.) This is not a solution because (7,-2) is outside the shaded area

C.) This is not a solution because (3,3) is outside the shaded area

D.) This is not a solution because (2,1) is outside the shaded area

Answer:

A) {(0, 0), (1, 2), (3, -3)}  

Step-by-step explanation:

Check by inserting values into the inequality.

y ≤ -2x + 4

Set A

(0,0): 0≤ 4 TRUE

(1,2): 2 ≤ -2×1 + 4

       2 ≤ -2 + 4

       2 ≤ 2 TRUE

(3,-3): -3 ≤ -2×3+4

         -3 ≤ -6 + 4

         -3 ≤ -2 TRUE

=====

Set B

(7, -2): -2 ≤ -2×7 + 4

          -2 ≤ -14 + 4

          -2 ≤ -10 FALSE

=====

Set C

(3,3): 3 ≤ -2×3 + 4

        3 ≤ -6 + 4

        3 ≤ -2 FALSE

=====

Set D

(2,1): 1 ≤ -2×2 + 4

       1 ≤ -4 +4

       1 ≤ 0 FALSE

Set A is the one that contains only points that satisfy the inequality.

Hello from MrBillDoesMath!

Answer:

x >=4

Discussion:

The inverse of q is

-1 +\-  (x-4)^(1/4)                             (the fourth root of x-4)

(Inverse found by solving  x= (y+1)^4 +4 for y)

The domain of the inverse is therefore x such that x -4 >=0 , i.e. x >=4

Regards,  

MrB

P.S.  I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!

Answer:

R(x) = 850x + 9600

Step-by-step explanation:

Answer:

should be the first table

Step-by-step explanation:

The table that can be used to determine how long it would take if Elias and Niko polished the silver together is table B

You can create a table to determine the time it would take Elias and Niko together to polish the silver based on their individual rates of completing the task.

Let's denote:

Elias's rate of polishing = 1 job / 40 minutes

Niko's rate of polishing = 1 job / 50 minutes

To find the combined rate when they work together, you can use the formula:

Combined rate = Elias's rate + Niko's rate

Elias's rate = 1 job / 40 minutes

Niko's rate = 1 job / 50 minutes

So, the combined rate when they work together will be:

Combined rate = 1/40 + 1/50

Combined rate = (5/200) + (4/200)

Combined rate = 9/200

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The volume of the sphere is given by :

V=[tex]\frac{4}{3}\pi r^{3}[/tex]

And volume of cylinder is given as :

V=[tex]\pi r^{2}h[/tex]

So, as given to select the radius randomly and the height of the cylinder will be the diameter of the sphere.

The radius are = 3, 5, 8, 10, 12

And height will be = 6, 10, 16, 20, 24

1. Volume of sphere with radius 3 = [tex]\frac{4}{3}*3.14*3*3*3= 113.04[/tex] units

Volume of cylinder with radius 3 and height 6 = [tex]3.14*3*3*6=169.56[/tex] units

2. volume of sphere with radius 5 = 523.60 units

volume of cylinder with height 10 = 785.40 units

3. volume of sphere with radius 8 = 2144.66 units

volume of cylinder with height 16 = 3216.99 units

4. volume of sphere with radius 10 = 4188.79 units

volume of cylinder with height 20 = 6283.19 units

5. volume of sphere with radius 12 = 7238.23 units

volume of cylinder with height 24 = 10857.34 units

Answer:

Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 2. and then rotating it about the origin by 180 degrees

Step-by-step explanation:

All the coordinates of A'B'C' are -1/2 times those of ABC. The dilation factor is 1/2, and rotation by 180° is indicated.

A'(-1, -1) = (-1/2) × A(2, 2)

B'(-1, -5) = (-1/2) × B(2, 10)

C'(-4, -6) = (-1/2) × C(8, 12)

___

Rotation by 180° negates both coordinates. It is equivalent to reflection across the x-axis and reflection across the y-axis, in either order.

Answer:

its basically B

Step-by-step explanation:

Answer:

x=63

y=27

Step-by-step explanation:

As we can see from the graph x+ 117 form a straight line

x+ 117 = 180

Subtract 117 from each side

x+117-117 = 180 -117

x = 63

The graph indicates that x+y forms a right angles

x+y = 90

We know x = 63

63+y = 90

Subtract 63 from each side

63-63+y = 90-63

y = 27

Answer:

y=27 simple one

Step-by-step explanation:

ez

Simplify each term: 5x^4y + 7x^4y - 5x^5 - 5x^3z + 3x^3z

Combine like terms: -5x^5 + 12x^4y -2x^3z  

That is the most simplified form.

If necessary, factor:

x^3(-5x^2+12xy-2z)

Answer:

96

Step-by-step explanation:

Let x represent the number of adult tickets sold. Then (182-x) is the number of child tickets sold. The total sales is then ...

... 6.60·(182 -x) +9.80·x = 1508.40

... 3.20x = 1508.40 -1201.20 . . . . . simplify, subtract 1201.20

... 307.20/3.20 = x = 96 . . . . . . . . divide by the coefficient of x

96 adult tickets were sold that day.

Final answer:

By setting up and solving a system of equations, it is determined that 96 adult tickets were sold at the movie theatre.

Explanation:

To solve the problem of how many adult tickets were sold at the movie theatre, we need to set up a system of equations based on the given information: child admission is $6.60, adult admission is $9.80, 182 tickets were sold in total, and the sales amounted to $1508.40.

Let's denote the number of child tickets sold as c and the number of adult tickets sold as a. We can then create the following two equations:

c + a = 182 (since the total number of tickets sold was 182)

6.60c + 9.80a = 1508.40 (representing the total sales from the tickets)

We can solve these equations using substitution or elimination methods. Here's the step-by-step solution using the elimination method:

First, we multiply the first equation by -6.60 to set up for elimination:

-6.60c - 6.60a = -1201.20

Now we add this to the second equation:

6.60c + 9.80a = 1508.40

3.20a = 307.20

Dividing both sides by 3.20 gives us a = 96.

Therefore, 96 adult tickets were sold that day.

Answer:

The coordinates of point C are (a,0).

Step-by-step explanation:

Given information: ABC is right isosceles triangle.

From the given figure it is noticed that the side BC is hypotenuse of the triangle ABC.

By pythagoras theorem,

[tex]hypotenuse^2=leg^2+leg^2[/tex]

[tex]hypotenuse^2=2leg^2[/tex]

[tex]hypotenuse=leg\sqrt{2}[/tex]

Therefore hypotenuse cannot be equal to leg. So, we can say that in triangle ABC,

[tex]AB=AC[/tex]

Length of AB is

[tex]AB=\sqrt{(a-0)^2+(0-0)^2}=a[/tex]

From the figure it is noticed that the point C lies on the x-axis, therefore the y-coordinates of C is 0.

Let the coordinates of C be (x,0) and length of AC must be a.

[tex]AC=\sqrt{(x-0)^2+(0-0)^2}[/tex]

[tex]a=x[/tex]

Therefore coordinates of point C are (a,0).

Answer:

C) 4/1

Step-by-step explanation:

Any integer can be expressed as a fraction by using a denominator of 1.

Answer:

0.153

Step-by-step explanation:

It has been a long time since I've done this, so I hope it is correct:

cos = adjacent side / hypotenuse

cos x = 13 / 85 = 0.153

The decimal value of cos X can be found using a calculator or trigonometric table. Cosine is a trigonometric function that gives the ratio of the length of the adjacent side to the hypotenuse of a right triangle.

The decimal value of cos X can be found using a calculator or trigonometric table. Cosine is a trigonometric function that gives the ratio of the length of the adjacent side to the hypotenuse of a right triangle. For example, if cos X is equal to 0.6, this means that the adjacent side of the triangle is 0.6 times the length of the hypotenuse.

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Answer:

The ratio of Messi : Ronaldo

                   7:6

Step-by-step explanation:

The ratio of Messi : Ronaldo

   700 :600

Divide each side by 100

7:6

You cannot tell who is better because we do not know how many shots they took.

Answer:

5/16

Step-by-step explanation:

In 5/2 the time, we expect that 5/2 × 1/8 = 5/16 of the test will be complete.

_____

5/2 × (2/5 h) = 1 h

Answer:5/16

Step-by-step explanation: In 5/2the time, we expect that 5/2 *1/8= 5:16

The expression written as a square of a monomial is [tex](4x^3)^3[/tex]

Given the indices expression [tex]64x^9[/tex]

We are to express as a square of a monomial. This is expressed as shown:

[tex]=64x^9\\=(4 \times 4 \times 4)(x^3)^3\\= 4^3(x^3)^3\\=(4x^3)^3[/tex]

Hence the expression written as a square of a monomial is [tex](4x^3)^3[/tex]

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Final answer:

To write 64x^9 as a square of a monomial, we can write it as (8x^4)^2. To write it as a cube of a monomial, we can write it as (4x^3)^3.

Explanation:

To write 64x^9 as a square of a monomial, we need to find a monomial that, when squared, equals 64x^9. To do this, we need to identify the square root of 64, which is 8, and the square root of x^9, which is x^4. Therefore, 64x^9 can be written as (8x^4)^2.

To write an expression as a cube of a monomial, we need to find a monomial that, when cubed, equals the given expression. In this case, we need to find the cube root of 64, which is 4, and the cube root of x^9, which is x^3. Therefore, 64x^9 can be written as (4x^3)^3.

Answer:

29.1°

Step-by-step explanation:

You can use your good sense to select the correct answer.

You know it is not near zero (so, not 0.01 or 0.03—neither of which is rounded to the nearest tenth). Since the adjacent side is longer than the opposite side, you know the angle is less than 45°. (Of the two complementary angles X and T, X is the smaller.) That only leaves one answer choice.

If you really need to figure it out, use SOH CAH TOA to remind you ...

... Tan(X) = Opposite/Adjacent = (5 in)/(9 in)

... X = arctan(5/9) ≈ 29.1° . . . . . make sure your calculator is in degrees mode

In this trigonometric problem, intuitive reasoning and basic principles were used to deduce the angle X as approximately 29.1 degrees, before employing the tangent function for precise calculation.

When faced with a problem involving trigonometry, sometimes you can intuitively deduce the correct answer using logic and a basic understanding of trigonometric principles. Let's break down how to approach the problem step by step:

Eliminate Options: In this case, you are provided with multiple answer choices. You can start by ruling out certain options based on your intuition. You can eliminate answers that are "near zero," such as 0.01 and 0.03, which are not rounded to the nearest tenth.

Analyze the Triangle: By examining the given information, you can infer that the angle you are looking for (angle X) is less than 45°. This deduction is based on the fact that the adjacent side is longer than the opposite side in a right triangle, and X is the smaller of the two complementary angles.

Use SOH CAH TOA: If you want to calculate the angle more precisely, you can apply trigonometric ratios. In this case, you use the tangent function: Tan(X) = Opposite/Adjacent = 5 in / 9 in. Then, you can find the angle using the arctan function, which yields X ≈ 29.1°.

In summary, while you can employ trigonometric functions for precise calculations, sometimes a logical approach and a good understanding of the problem can lead you to the correct answer more efficiently. In this scenario, the angle X is approximately 29.1 degrees, provided your calculator is in degrees mode.

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A. y = (-6/5)x +10

The given line has a negative slope (downward to the right). The only equation offered with a negative slope is the one of selection A.

_____

Complete working

A parallel line will have the same slope. If there are less-obvious choices to select from, you need to know the slope of the given line. That is computed from ...

... slope = (change in y)/(change in x)

The coordinates of two points are given, so we can find the slope as ...

... slope = (-4-2)/(-1-(-6)) = -6/5

There are a number of ways to write the equation of a line, but in slope-intercept form, the slope is the coefficient of x. You will be looking for a choice that has an x-coefficient of -6/5.

Answer:

I would say your answer is B.

Step-by-step explanation:

5.3 times 10^5 + 3.8 times 10^4

Tirn them into their regular form and add them together you will get the answer

Answer:

Equation: 29+ 4.50x= 42.50

Answer: 3

Step-by-step explanation:

Answer:

The values for both of the missing sides is 8.

Step-by-step explanation:

The hypotenuse of a right triangle = a(square root of 2)

Therefore the other two missing sides equal a.

Therefore, the other two sides equal 8.

now, recalling the pythagorean theorem a little.

the hypotenuse here is 8√2, and then we have the other two sides, BUT, the opposite angle for each is actually the same 45°, if each opposite angle is the same, the length of the side on the other end is also the same.

so we have say side "b" and side "a", but because each has an opposite angle of 45°, that means "b" and "a" are actually twins.

[tex]\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies (8\sqrt{2})^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{8\sqrt{2}}\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \stackrel{\textit{since we know that \underline{a = b}}}{[8^2(\sqrt{2})^2]=a^2+a^2}\implies 64(2)=2a^2\implies \cfrac{64(2)}{2}=a^2\implies 64=a^2 \\\\\\ \sqrt{64}=a\implies 8=a=b[/tex]

Answer:

x=-6, y=-1

Step-by-step explanation:

−x+2y=4 and −2x−2y=14

I will solve by elimination.  We can eliminate the y variable by adding these together.

 −x+2y=4

−2x−2y=14

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

-3x      = 18

Divide each side by -3

-3x/-3 = 18/-3

x = -6

But we still need to solve for y

-x + 2y =y

Substitute x in

- -6 +2y =4

6 +2y = 4

Subtract 6 from each side

6-6 + 2y = 4-6

2y = -2

2y/2 = -2/2

y= -1

To solve the system, we added the two equations, resulting in -3x = 18. Solving for x, we found x = -6 and then substituted this value into one of the original equations to solve for y, yielding y = -1. The final solution is (x, y) = (-6, -1).

To solve the system of linear equations -u+2y=4 and -2x-2y=14, we can utilize the elimination method. This involves adding the two equations together in order to eliminate one of the variables, resulting in an equation with a single variable which can be easily solved.

We begin by adding the two equations:

-(-x+2y)+(-2x-2y)=4+14

x - 2y - 2x - 2y = 18

-3x = 18

Divide both sides by -3 to find the value of x:

x = -6

With the value of x known, we substitute it back into one of the original equations to solve for y. Let's use the first equation:

-(-6) + 2y = 4

6 + 2y = 4

2y = -2

Divide both sides by 2 to find the value of y:

y = -1

The solution to the system of equations is (x, y) = (-6, -1).

Answer:

(25/54)x⁻⁶y⁻⁹  

Step-by-step explanation:

  [4(5x³y³)²]/(6x⁴y⁵)³                    Do the outside exponents first

= [4(25x⁶y⁶)]/(216x¹²y¹⁵)               Group like terms

= [(4×25)/216] × x⁶/x¹² × y⁶/y¹⁵     Reduce fractions to lowest terms

= 25/54 × x⁻⁶ × y⁻⁹                       Recombine the terms

= (25/54)x⁻⁶y⁻⁹

Answer:

27 total child tickets sold

Step-by-step explanation:

Price of child ticket = $5.20

Price of adult admission = $8.80

Now according to given condition of the day of Monday

Let no of child tickets sold are = x

then

total no of adult tickets sold are =4 x

Total sales = $ 1090.80

Now according to given

we know that

sales of child tickets + sales of adults tickets = total sales

Putting in the values

x * (5.20) + (4x)*(8.80) = 1090.80

5.20 x + 35.2 x = 1090.80

40.4 x = 1090.80

Dividing both sides by 40.4

[tex]\frac{40.4x}{40.4}=\frac{1090.80}{40.4}[/tex]

x= 27

So total no of child tickets sold are 27

Answer:

Sample Response: The math club has 8 members. The youngest member is 9. The oldest member is 13. Therer is a cluster between 11 and 13, with a peak at 13. There is a gap at 10.

Answer: C) 5

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

x = independent variable, y = dependent variable

Assuming this is a linear function, each increase of x by 2 leads to y going up by 10. So 10/2 = 5 is the unit increase each time x bumps up by 1.

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

An alternative is to use the slope formula to get

m = (y2 - y1)/(x2 - x1)

m = (25 - 15)/(4 - 2)

m = 10/2 <--- this expression shows up again

m = 5 <---- leading to the same answer as before

So we see that the slope formula is a more drawn out method to finding the answer.

Answer:

c) 5

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

1/3 ÷ 2/3

We will use copy dot flip

Copy the first number , change the divide to multiply, take the reciprocal of the second number.

1/3 × 3/2

1/2

Answer:

94 pounds

Step-by-step explanation:

Let "a" represent the weight of type A coffee Charlie used. Then 150-a is the weight of the type B coffee. The total cost of the blend is then ...

... 4.85a +5.95(150 -a) = 789.10

... -1.10a +892.50 = 789.10 . . . . . . simplify

... -1.10a = -103.40 . . . . . . . . . . . . . .subtract 892.50

... a = 94 . . . . . . . . . . . . . . . . . . . . . divide by -1.10

Charlie used 94 pounds of type A coffee.

Final answer:

Charlie used 94 pounds of type A coffee for the blend, which was found by setting up a system of equations based on the total weight and cost of the coffee blend and solving for the quantity of type A coffee.

Explanation:

To solve how many pounds of type A coffee Charlie used, we need to set up a system of equations based on the given information.

Let x be the amount of type A coffee and y be the amount of type B coffee. We have two types of coffee totaling 150 pounds, so x + y = 150.

The cost of the two types of coffee leads to the second equation: 4.85x + 5.95y = 789.10.

We solve this system of equations either by substitution or elimination. If we solve for y from the first equation (y = 150 - x) and substitute it into the second equation, it simplifies to 4.85x + 5.95(150 - x) = 789.10, which becomes 4.85x + 892.50 - 5.95x = 789.10. Simplifying further gives -1.10x = -103.40, which when solved for x gives x = 94.

Therefore, Charlie used 94 pounds of type A coffee for his blend.