if xr-st=r, which expression represents x

Answer:

All you have to do is add a line in between them, angle bisectors cut the angle in half, and make those angles equal to one another.

Step-by-step explanation:

Answer:

D. $2304.70

Step-by-step explanation:

a typical 2000 square foot house may cost anything from $200000 to $300000

Step-by-step explanation:

How much of a premium do you pay for a steel house worth $190,000 with $49,000 worth of content in a suburban area?

B. $1372.70

Answer:

25/51

Step-by-step explanation:

If the first card was a heart, we've drawn one red card already.

The ratio of black to red cards in the deck is now 26:25.

On the second draw, there will be only 51 cards to choose from, rather than 52 because you have already taken out a card. Therefore, you only have a 25/51 chance of drawing a red card compared to the 26/52 or 1/2 chance on the first draw.

Answer is 25/51.

Just off the bat 17$is 12 rides and then 17.25 +0.75 is 18 so 13 rides

Answer:

386.75

Step-by-step explanation:

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The cost of joining the gym for 6 months is 386.75.

Given,

The function G(m) = 49.5m + 89.75 represents the cost of joining the gym in addition to the one-time membership fee.

The cost, G, is measured in dollars for m months.

We need to find the value of G(6).​

Here,

The one-time membership = 89.75.

Now,

Putting m = 6 months in:

G(m) = 49.5m + 89.75

G(6) = 49.5 x 6 + 89.75

       = 297 + 89.75

       = 386.75

Thus the cost of joining the gym for 6 months is G(6) = 386.75.

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Answ

70

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

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The cost of students ticket is $37.5and the cost of general admission is $187.5.

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, also known as a system of equations or an equation system.

Assume s be the students tickets cost and g be the general admission cost.

From the given information,

⇒  s + g = 225             ..(1)

 5s + 7g = 1500         ..(2)

From equation (1),

s = 225 - g

Plug the value of s in equation (2)

5(225 - g) + 7g = 1500

1125 - 5g + 7g = 1500

                  2g = 1500 - 1125

                  2g = 375

                    g = 187.5

Plug g = 125 in equation (1),

s + 187.5= 225

        s = 225 - 187.5

        s = 37.5

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Answer:

ok

Step-by-step explanation:

Answer:

88%

Step-by-step explanation:

Answer:

8.5 inches

Step-by-step explanation:

First let's find the time t when the depth of the snow is 7 inches.

To do this, we just need to use the value of D = 7 then find the value of t:

\(7 = 1.5t + 4\)

\(1.5t = 3\)

\(t = 2\ hours\)

We want to find the depth of snow one hour from now, so we just need to use the value of t = 3 to calculate D:

\(D = 1.5*3 + 4\)

\(D = 4.5 + 4 = 8.5\ inches\)

The depth of snow one hour from now will be 8.5 inches.

The depth of the snow one hour from now is 8.5 inches.

Let D represent the depth of snow in inches at time t. It is given by the relationship:

D=1.5t + 4

Since  the depth of the snow is 7 inches now, hence, the time now is:

7 = 1.5t + 4

1.5t = 3

t = 2 hours

One hour from now, the time would be t = 2 + 1 = 3 hours. Hence the depth at this time is:

D = 1.5(3) + 4 = 8.5 inches

Therefore the depth of the snow one hour from now is 8.5 inches.

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The series of rigid motion transformations that map polygon A to Polygon A''' are;

A rigid transformation is a transformation in which the distance between all pairs of points on the pre-image is preserved following the transformation.

The series of rigid motion transformations that map polygon A to polygon A''' are;

Transformation from A to A'

Transformation from A' to A''

Transformation from A'' to A'''

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Answer:

First choice, 0

Step-by-step explanation:

y - intercept is where the line intercepts on the y-axis. Ans as u can see it's touching 0 so yea.

Answer:

Sarah multiplied the denominator by the denominator and the numerator by the numerator instead of finding the cross products. The equation should be 5x = 42, so the cost should be $8.40.

Step-by-step explanation:

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The surface area of the square pyramid, in square inches is found to be 184.29 square inches.

Since the square pyramid has a square base, its surface area is the sum of the area of the base and the area of the four triangular faces. The area of the square base is simply the side length squared,

Area of base = (7.1 inches)² = 50.41 square inches

The area of each triangular face can be found using the formula for the area of a triangle,

Area of triangle = 1/2 x base x height where the base is 7.1 inches and the height is 9.4 inches. Thus, the area of each triangular face is,

Area of triangle = 1/2 x 7.1 inches x 9.4 inches = 33.47 square inches

Since there are four triangular faces, the total area of the four triangular faces is,

4 x (33.47 square inches) = 133.88 square inches

Therefore, the total surface area of the square pyramid is,

Total surface area = Area of base + Area of four triangular faces

= 50.41 square inches + 133.88 square inches

= 184.29 square inches

Hence, the surface area of the square pyramid is 184.29 square inches.

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The surface area of the square pyramid is calculated to be 184.29 square inches.

Because the square pyramid has a square base, its surface area is the sum of the base and the four triangular faces. The area of a square base is simply the square of the side length: Area of base = (7.1 inches)2 = 50.41 square inches

The area of each triangular face can be calculated using the triangle area formula: Triangle area = 1/2 x base x height, where the base is 7.1 inches and the height is 9.4 inches. As a result, the area of each triangular face is as follows: Area of triangle = 1/2 x 7.1 inches x 9.4 inches = 33.47 square inches

The total area of the four triangular faces is, because there are four triangular faces.

133.88 square inches = 4 x (33.47 square inches)

As a result, the square pyramid's total surface area is,

Total surface area = base area + four triangular face areas

= 133.88 square inches + 50.41 square inches

equals 184.29 square inches

As a result, the square pyramid has a surface area of 184.29 square inches.

Yes, she did buy additional carrot seed. No, the total number of seeds was 1120. No, the total price is $171. She did buy more maize and beans than carrots.

Multiplication is one of the four basic mathematical operations of arithmetic, along with addition, subtraction, and division. A product is the outcome of a multiplication operation. Multiplication is a way of calculating the product of two or more integers in mathematics. It is one of the most fundamental mathematical operations that we utilize every day. When we multiply two numbers, the result is known as the product. The multiplicand is the number of items in each group, and the multiplier is the number of such equal groupings. In our situation, the multiplicand is, the multiplier is, and the product is 6.

Here,

Beans=12*40

=480

cost of beans=12*5

=$60

Carrot=15*36

=540

cost of carrot=15*7

=$105

Corn=2*50

=100

cost of corn=2*3

=$6

Total seeds=1120

Total cost=$171

Yes she bought more of carrot seed. No the total seeds was 1120. No the total cost is $171. Yes she bought more corn and beans than carrot.

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The volume of right rectangular prism = 42 1/2 cm³.

We have,

height of prism = 2 cm

width of prism = 5 cm

length of prism = 4 1/4 cm  

Now, The volume of right rectangular prism = Length × Width × Height

Substitute all the values, we get;

= 2 × 5 × 4 1/4

= 10 × 17/4

= 170/4 cm³

= 42 1/2 cm³

Thus, The volume of right rectangular prism = 42 1/2 cm³

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(a) The probability of seeing at least 17% fours converges to zero as the number of rolls tends to infinity.

(b) For a large enough number of rolls, the probability of all frequencies being between 16% and 17% is at least 0.999.

(a) Let X be the number of fours observed in n rolls of the die, then X follows a binomial distribution with parameters n and 1/6. The expected value and variance of X are given by E(X) = n/6 and Var(X) = 5n/36, respectively. Using Chebyshev's inequality, we have

P(X ≥ 0.17n) ≤ Var(X)/(0.17n - E(X))²

≤ 5n/36 / (0.17n - n/6)²

= 1/(9n/425 - 17/100)².

As n → ∞, the denominator of the last expression goes to zero, and hence the probability of seeing at least 17% fours goes to zero.

(b) Let Y1, Y2, ..., Y6 be the frequencies of the outcomes 1, 2, ..., 6 after n rolls of the die. Then Yi's follow a multinomial distribution with parameters n and (1/6, 1/6, ..., 1/6). Let μ = n/6 be the expected frequency of each outcome. We need to show that P(|Yi - μ| ≤ μ/6 for all i) ≥ 0.999 for large enough n.

Using the Chernoff bound, we have

P(|Yi - μ| ≥ μ/6) ≤ 2 exp(-μ/72)

for any i. Hence,

P(|Yi - μ| ≤ μ/6 for all i) ≥ 1 - 12 exp(-μ/72).

For n ≥ 2000, we have μ ≥ 16.67 and hence exp(-μ/72) ≤ 0.008. Therefore,

P(|Yi - μ| ≤ μ/6 for all i) ≥ 1 - 12 exp(-μ/72) ≥ 0.999.

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Trains make up approximately 49.04% of the total journeys across all modes of transportation.

We must divide the total number of train trips by the total number of trips made using all modes of transportation, then multiply the result by 100 to get the percentage that trains make up of the total.

There have been 2320 train trips overall, and there have been 4730 trips overall using all forms of transportation.

Trains therefore account for the following proportion of the total:

(2320 / 4730) x 100% = 49.04%

Train travel thus accounts for roughly 49.04 percent of all travels made using all modes of transportation.

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Answer:

The area formula of a triangle is (base * height) / 2 and the area of a square is s² where s is the length of one side.

Answer: total sum of 180°.

Step-by-step explanation:

Answer:

144 - 36×3.142 = 30.888

30.888 ÷4 = 7.722

The composite mapping (f o g)(x) ≥ 3 for the functions f(x) = 2x + 1 and g(x) = x² + 1. And (f o g)(x) > 0 for the functions f(x) = x² and g(x) = x.

A mapping is composite when the co- domain of the first mapping is the domain of the second mapping.

For the functions f(x) = 2x + 1 and g(x) = x² + 1

If x > 0, say x = 1 then;

g(x) = 1² + 1

g(x) = 2

(f o g)(x) = 2(2) + 1

(f o g)(x) = 4 + 1

(f o g)(x) = 5

If x = 0, then;

g(x) = 0² + 1

g(x) = 1

(f o g)(x) = 2(1) + 1

(f o g)(x) = 2 + 1

(f o g)(x) = 3

For the functions f(x) = x² and g(x) = x

If x < 0, say x = -0.5, then;

g(x) = -0.5

(f o g)(x) = (-0.5)²

(f o g)(x) = 0.25

In conclusion, the composite mapping (f o g)(x) ≥ 3 for functions f(x) = 2x + 1 and g(x) = x² + 1 and (f o g)(x) > 0 for the functions f(x) = x² and g(x) = x.

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Answer:

  D(6, -2)

Step-by-step explanation:

You want the coordinates of point E in ∆DEF congruent to ∆ABC after, it has been translated 4 units to the right.

The triangle names tell us that point E is the image of point B after the translation.

Moving a point to the right 4 units adds 4 to its x-coordinate.

  B(2, -2) ⇒ E(2+4, -2) = E(6, -2)

Answer:

12 pieces

Step-by-step explanation:

3/0.25 = 12 pieces

Answer:

12 pieces

Step-by-step explanation:

3/.25=12

9514 1404 393

Answer:

Step-by-step explanation:

The relevant relations are ...

These give rise to two equations. (x and y are in degrees)

  6y +6y +4x = 360

  6y = 2(2x)

Substituting the latter into the former gives ...

  6y +6y +6y = 360

  y = 20 . . . . . . . . . . . . divide by 18

Then using this in the second equation, we have ...

  6(20) = 4x

  30 = x . . . . . . . . divide by 4

The measures of x and y are 30° and 20°, respectively.

The algebraic expression that represents the number of beads per necklace is given as follows:

250/8.

The algebraic expression representing the number of beads per necklace is obtained applying the proportion in the context of the problem.

The proportion is given by the division of the total number of beads by the total number of necklaces, as follows:

Beads per necklace = Number of beads / Number of necklaces.

The parameters for this problem are given as follows:

Hence the algebraic expression that represents the number of beads per necklace is given as follows:

250/8.

(dividing the number of beads by the number of necklaces given in this problem).

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The given Mayan number which is: :|| :|| in decimal (base 10) is 42.

The Mayan number system is a base-20 system that uses three symbols: a dot (.), a horizontal bar (|), and a shell-like symbol (:). The symbol for zero is a shell-like symbol (:).

In order to obtain the decimal equivalent (base 10) of a Mayan numeral, it is imperative to comprehend the positional significance of each constituent symbol.

The numerical system employed here assigns a weight to each digit that corresponds to a certain power of 20. Specifically, the weight associated with the least significant digit is 20 raised to the exponent of 0, while the weight of the digit to its immediate left is 20 raised to the exponent of 1, and so forth.

The Mayan number given, : :|| :||, can be broken down as follows:

The leftmost position has no symbol, which represents a value of 0.

The second position from the left has two shell-like symbols (:), which represent a value of 2x20¹ = 40.

The third position from the left has two horizontal bars (||), which represent a value of 2x20⁰ = 2.

The given Mayan number in decimal (base 10) is 40 + 2 = 42.

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Answer:

3:11

Step-by-step explanation:

3x=11y

Rearrange to the format of the ratio.

11y = 3x

Let's find y/x. y/x is y:x.

11y = 3x

Divide both sides by 11.

11y/11 = 3x/11

y = 3x/11

NOW LET'S DIVIDE BOTH SIDES BY x TO GET x AS THE DENOMINATOR OF y.

y = 3x/11

y/x = (3x/11)/x

y/x = (3x/11) * 1/x

y/x = 3/11

Therefore, y:x = 3:11

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