30 ounces = how many pounds and ounces

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:

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.

For more such information on: tangent function

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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:

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

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.

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:

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:

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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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:

The area of the entire yellow region is 48 cm^2.

Step-by-step explanation:

See the attached image :)

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.

It is a nonlinear function.

When the points are graphed, they do not all lie on the same line. The lines connecting the points have positive slope, so the function is neither constant nor decreasing.

Answer: It is a nonlinear function.

Step-by-step explanation:

A function is said to be linear if the rate of change of dependent varaible (y) with respect to independent variable (x) is constant.

Rate of change in function [tex]=\dfrac{\text{Change in y}}{\text{Change in x}}[/tex]

The table gives the speeds recorded by the speedometer on Sully's car with respect to time. :

x                                        y

(seconds)                       (mph)

2                                     60

8                                    120

16                                   170

For x= 2 and x= 8 , the rate of change in function will be

[tex]\dfrac{\text{Change in y}}{\text{Change in x}}\\\\=\dfrac{120-60}{8-2}=\dfrac{60}{6}=10[/tex]

For x= 8 and x= 16 , the rate of change in function will be

[tex]=\dfrac{170-120}{16-8}=\dfrac{50}{8}=6.25[/tex]

But 10 ≠ 6.25.

⇒ Rate of change is not constant.

It means the function non- linear.

Also , it is not a constant function because values of y is not constant w.r.t to x.

It is not a decreasing function because values of y increase with increase in x.

Answer:

Equation: 29+ 4.50x= 42.50

Answer: 3

Step-by-step explanation:

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:

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:

C) 4/1

Step-by-step explanation:

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

(m, a, b, c) ∈ {(1, 196, 441, 210), (7, 28, 63, 30)}

m is a common factor of 196, 210, 441

The prime factors of those numbers are

... 196 = 2²×7²

... 210 = 2×3×5×7

... 441 = 3²×7²

7 is the only prime factor common to all the numbers. Hence the possible values of m are 1 and 7.

For m = 1, (a, b, c) = (196, 441, 210).

For m = 7, (a, b, c) = (196, 441, 210)/7 = (28, 63, 30).

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.

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]

The values of x and y are 5/7 and 11 respectively.

Similar triangles are triangles with equal corresponding angles and equal side ratios.

We use similarity theorem to solve for x and y

x/3+x = 11/18

18x = 33 + 11x

collect like terms

18x - 11x = 33

7x = 33

x = 33/7

x = 4 5/7

y/7+y = 11/18

18y = 77 + 11y

7y = 77

y = 11

Therefore, the values of x and y are 4 5/7 and 11 respectively.

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:

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

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:

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:

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 correct answer is option C, Multiplying by 1/5 is the same as multiplying by 20%.

Step-by-step explanation:

The equation 1/5 = 1 divided by 5 = 0.2

and 0.2 can be expressed as 20%

Thus both the factor 1/5 and 20 % are same

Answer:

c is the answer

Step-by-step explanation:

Answer:

R(x) = 850x + 9600

Step-by-step explanation:

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