Match the vocabulary word with the correct definition.
1. a comparison of two quantities or numbers as a quotient
2. a statement that says two ratios are equal
3. multiplying diagonally across the equal sign in a proportion

cross multiplication
proportion
equal

Answer:

r=20

Step-by-step explanation:

Answer:

0.1

Step-by-step explanation:

\(y = rx\)

\(1.4 = r * 14\)

\(1.6 = r * 16\)

\(2.1 = r * 21\)

\(r = 0.1\)

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer: one senior ticket is $8 and one student ticket is $14

Hope this helps a little

Answer:

yes ur friend is correct

Step-by-step explanation:

because the value of x .

The diagram only shows that angles M and B are supplementary ( add up to 180 degrees) and that angel 4x is adjacent to angel M.However, there is no information about the measure of angle B or angel M, so we cannot determine the value of x

Answer:

Step-by-step explanation:

Alonzo has spent $22 on gifts so far, and he plans to spend at most $30 in total. Therefore, he can spend at most:

$30 - $22 = $8 more

We can represent the additional amount Alonzo will spend as c, where c is between 0 and 8 dollars. Then we can write the inequality:

0 ≤ c ≤ 8

This means that c can be any value between 0 and 8, inclusive. Therefore, the possible additional amounts Alonzo will spend are between $0 and $8, inclusive.

Answer:

the answer is -7+-25=-32

Answer and Explanation:

First, we can find the factored areas of the circle (the non-shaded area) and the rectangle (which includes the shaded and non-shaded areas).

We can use the rule:

if \(x^2 + cx + d = (x + a)(x + b)\), then \(c = a + b\) and \(d = a \cdot b\).

__

\(A_\circ = \dfrac{x+1}{x^2 + 6x + 8}\)

\(\boxed{A_\circ = \dfrac{x+1}{(x + 2)(x + 4)}}\)

__

\(A_\square = \dfrac{x+1}{x^2 - 6x -16}\)

\(\boxed{A_\square = \dfrac{x+1}{(x+2)(x-8)}}\)

Since we want to subtract the area of the circle from the area of the rectangle, we need them to have a common denominator.

We can achieve this by multiplying the area of the circle by \(\dfrac{(x-8)}{(x-8)}\) and the area of the rectangle by \(\dfrac{(x+4)}{(x+4)}\) because then both fractions will have the denominator \((x+2)(x+4)(x-8)\).

\(A_\circ = \dfrac{(x+1)(x-8)}{(x + 2)(x + 4)(x-8)}\)

\(A_\square = \dfrac{(x+1)(x+4)}{(x+2)(x-8)(x+4)}\)

Now that they have a common denominator, we can subtract them to get the area of the shaded region.

\(A_\text{shaded} = A_\square - A_\circ\)

\(A_\text{shaded} = \left(\dfrac{(x+1)(x+4)}{(x + 2)(x + 4)(x-8)}\right) - \left(\dfrac{(x+1)(x-8)}{(x+2)(x+4)(x-8)}\right)\)

Now, we can foil out the numerators of each fraction and combining like terms.

\(A_\text{shaded} = \left(\dfrac{x^2 + 5x + 4}{(x + 2)(x + 4)(x-8)}\right) - \left(\dfrac{x^2 - 7x - 8}{(x+2)(x+4)(x-8)}\right)\)

↓ rewriting as one fraction ... \(\dfrac{x}{y} - \dfrac{z}{y} = \dfrac{x-z}{y}\)

\(A_\text{shaded} = \dfrac{ (x^2 + 5x + 4) - (x^2 - 7x - 8)}{(x + 2)(x + 4)(x-8)}\)

↓ distributing the negative

\(A_\text{shaded} = \dfrac{x^2 + 5x + 4 - x^2 + 7x + 8}{(x + 2)(x + 4)(x-8)}\)

↓ grouping like terms

\(A_\text{shaded} = \dfrac{(x^2 - x^2) + (5x + 7x) + (4 + 8)}{(x + 2)(x + 4)(x-8)}\)

↓ combining like terms

\(\boxed{A_\text{shaded} = \dfrac{12x + 12}{(x + 2)(x + 4)(x-8)}}\)

Answer:

approx. 9.06 for one pound

Step-by-step explanation:

Answer:

15b-x=4

Step-by-step explanation:

i am a smart teacher

The perimeter and area of the square are; 24√2 units and 12 units² respectively

Given the coordinates of the midpoints of the four sides of a square are S(-4,11), Q(2,5), U(-4,-1), A (-10,5)

But since we have the midpoints of all the sides, we can assume they're equidistant from one another since the figure is a square.

SQ = √(x₂ - x₁)² + (y₂ - y₁)²

SQ = √(2 - (-4)² + (5 - 11)²

SQ = 6√2

Let's find QU

QU = √(-4 - 2)² + (-1 - 5)²

QU = 6√2

Let's find UA ;

UA = √(-10 - (-4))² - (5 - (-1)²

UA = 6√2

And the distance AS = 6√2

The perimeter of the square = 4 (6√2)

Perimeter = 24√2 units

The area of the square = l²

Area of the square = (6√2)²

Area of square = 12 units²

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1a. The percentage total return is -19.56%

1b. The dividend yield is 2.42%.

1c. The capital gains yield is -21.98%.

2a. The arithmetic average annual return on large-company stocks in nominal terms is 14.5%.

2b. The arithmetic average annual return on large-company stocks in real terms is 9.67%.

3a. The real return on long-term government bonds is 3.195%

3b. The real return on long-term corporate bonds is 3.291%

In Financial accounting, the percentage total return (P) can be calculated by using this formula;

P = [(Ending price - Initial price) + Dividend] ÷ Initial price

P = [(71 - 91) + 2.20] ÷ 91

P = -0.1956 or -19.56%

1b. For the dividend yield, we have:

Dividend yield = Dividend ÷ Initial price

Dividend yield = 2.20 ÷ 91

Dividend yield = 0.0242 or 2.42%

1c. For capital gains yield, we have:

Capital gains yield = (Ending price - Initial price) ÷ Initial price

Capital gains yield = (71 - 91) ÷ 91

Capital gains yield = -0.2198 or -21.98%.

Part 2.

a. The arithmetic average of annual return on large-company stocks in nominal terms is equal to 14.5%.

b. For arithmetic average annual return in real terms, we have:

(1 + 0.145) = (1 + r)(1 + 0.044)

r = (1.145/1.044) - 1

r = 9.67%

Part 3.

a. For real return on the long-term government bonds, we would apply Fisher equation:

(1 + i) = (1 + r)(1 + h)

Where:

(1 + 0.066) = (1 + r)(1 + 0.033)

1 + r = 1.066/1.033

r = 3.195%

b. For real return on long-term corporate bonds:

(1 + 0.067) = (1 + r)(1 + 0.033)

1 + r = 1.067/1.033

r = 3.291%

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Step-by-step explanation:

a triangle is equal to 180 degrees

180 minus 36 gives us 144

144 divided by 8c equals 18

c equals 18

Answer:

 number one is 4.5

Step-by-step explanation:

Answer:

y= 20 m

x= 15 m

z= 22 degree

Step-by-step explanation:

15+x=30 m

x=30-15

x= 15 m

z-18=40

z= 40-18

z= 22m

Answer:

f=1               e=2          d=3

Step-by-step explanation:

Answer:

o.ooo7

Step-by-step explanation:

The square root of 49/10,000 is 0.0007.

Hope this helps

please mark as brainlist

Answer:

27 plates

Step-by-step explanation:

81 ÷3=27 chicken pieces

27 pieces of corn (one piece of corn per plate)

54÷2=27 two pieces of bread per plate

The probability of landing on the dark blue target is 2/5.

Probability is the ratio of required to the total possible outcomes of an event.

P(dark blue ) = 40/100

divide through by 20

P(dark blue ) = 2/5

Therefore, the probability of landing on target is 2/5

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The improper fraction is a fraction when the numerator is greater than or equal to the denominator

Given the number 4.2

It can be written as a mixed fraction as:

And when converted to an improper fraction will become:

So, the numerator will be equal to 42

The function g(x), considering that h(x) is the composite function of f(x) and g(x), is given as follows:

g(x) = x + 6.

The composite function of f(x) and g(x) is given by the following rule:

h(x) = (f ∘ g)(x) = f(g(x)).

It means that the output of the inside function serves as the input for the outside function.

The functions for this problem are defined as follows:

Hence the function g(x) is defined as follows:

g(x) = x + 6.

As the application of the composite function is given as follows:

\(h(x) = (f \circ g)(x) = f(x + 6) = \sqrt[4]{x + 6 + 1} = \sqrt[4]{x + 7}\)

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Answer:

...

Step-by-step explanation:

To find the number of calories Davis burns while running for 30 minutes, we can use the information that he burns 1080 calories running for 2.5 hours.

We know that 30 minutes is 1/120 of 2.5 hours. So, we can divide the total number of calories by 120 and we get the calorie burn for 30 minutes:

1080 calories / 120 = 9 calories

The number of calories Davis burns while swimming for 30 minutes can be determined by using the equation y = 266x, where x represents the number of hours he swims. We know that he swims for 30 minutes, or 1/120 hours, so we can plug that value into the equation:

y = 266(1/120) = 2.216 calories

So, Davis burns 7 calories more running for 30 minutes than swimming for 30 minutes, assuming the rates remain constant.

Solving equations with algebra tiles or balance scales is difficult due to its limitation which is explained below.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Because of their 2-d existence, algebra tiles can only model graduate degrees or reduced polynomials. Their physical nature furthermore restricts the number of different factors that can appear in the algebraic expressions they model, as well as the complexity of their understanding of contradiction and subtraction.

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Answer:

The first choice

Step-by-step explanation:

So you see that square down there, does mean that the angle is 90 degrees. So 90-50 = 40 so yea the first choice.

Answer:

(x,y)=(0,4)

Step-by-step explanation:

write as systems as equations, multiply both sides of the equation by -1, sum the equations vertically to eliminate at least one variable, divide both sides of the equation by -19, substitute the given value of x into the equation 5x+y=4, The possible solution of the system is the ordered pairs (x,y) =(0,4), then you're done. whew. ;)

The correct transformation is, a dilation with a scale factor less than 1 and then a reflection.

A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.

Given that, a transformation that maps polygon ABCD to polygon A'B'C'D',

We are asked to select the correct composition of similarity transformations,

According to the graph, there is a scale factor of 1/2 which is smaller than 1,

Also, the polygon is dilating and then reflected.

Hence, the correct transformation is, a dilation with a scale factor less than 1 and then a reflection.

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Answer:

x  =  28 m

y  =  14  m

A(max)  =  392 m²

Step-by-step explanation:

Rectangular garden    A (r ) =  x * y

Let´s call x the side of the rectangle to be constructed with a rock wall, then only one x side of the rectangle will be fencing with wire.

the perimeter of the rectangle is  p  =  2*x  +  2*y    ( but in this particular case only one side x will be fencing with wire

56   =   x    +  2*y      56   -  2*y  =  x

A(r)   =  ( 56  -  2*y ) * y

A(y ) =  56*y  -  2*y²

Tacking derivatives on both sides of the equation we get:

A´(y )  =  56  - 4 * y        A´(y) = 0     56  -  4*y  =  0    4*y  =  56

y =  14 m

and x  =  56  - 2*y    =  56 - 28  = 28 m

Then dimensions of the garden:

x  =  28 m

y  =  14  m

A(max)  =  392 m²

How do we know that the area we found is a local maximum??

We find the second derivative

A´´(y)  = - 4     A´´(y)  <  0   then the function A(y) has a local maximum at y = 14 m

Answer:

24in

Step-by-step explanation:

You didn't give the full question...

Answer:

irritational because 0 is uneven