AACB = ADCE
ZA = 3x-10, ZC = 45°, ZD = 2x+10

Answer:

Step 1: Add 3y to both sides.

4x−3y+3y=1+3y

4x=3y+1Step 2: Divide both sides by 4.

4x /4 = 3y+1 /4

Answer: x= 3 /4 y+ 1 /4

Step-by-step explanation: hope it helped

Answer:

that would be 6

Step-by-step explanation:

hope this helped!  C:

Answer:

its 6 minutes u take 60/10=6

Answer:

Trapezoid

Step-by-step explanation:

The math

Answer:

2 I think

Step-by-step explanation:

first, simplify it

-7+4-3x+8x-7+4-3x+8x

-6+10x

2 terms

Using linear function you would need to cross the bridge 30 times for the costs of the two toll options to be the same.

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SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

The details of the solution are as follows:

CONCLUSION:

The length of the radius, x, ( to the nearest tenth of an inch) = 3.0 inches

Answer:

4·(4x-3)

Step-by-step explanation:

Answer:

Largest integer in the interval [−∞, 31] is 31.

Step-by-step explanation:

Given the interval: [−∞, 31]

To find: The largest integer in this interval.

Solution:

First of all, let us learn about the representation of intervals.

Two kind of brackets can be used to represent the intervals. i.e. () and [].

Round bracket means not included in the interval and square bracket means included in the interval.

Also, any combination can also be used.

Let us discuss one by one.

1. [p, q] It means the interval contains the values between p and q. Furthermore, p and q are also included in the interval.

Smallest p

Largest q

2. (p, q) It means the interval contains the values between p and q. Furthermore, p and q are not included in the interval.

Smallest value just greater than p.

Largest value just smaller than q.

3. [p, q) It means the interval contains the values between p and q. Furthermore, p is included in the interval but q is not included in the interval.

Smallest value p.

Largest value just smaller than q.

4. (p, q] It means the interval contains the values between p and q. Furthermore, p is not included in the interval but q is included in the interval.

Smallest value just greater than p.

Largest value q.

As per above explanation, we can clearly observe that:

The largest integer which belongs to the following interval: [−∞, 31] is 31.

Answer:

Answer 4. (5 1/3 hours)

Step-by-step explanation:

240/45=5.333333333

Answer:

4. 5 1/3 hours

Step-by-step explanation:

Mike's music:

y = 45x

Tim's Tunes:

y = 80 + 25x

Mike's music:

y = 45x

240 = 45x

x = 240/45

x = 5 1/3

Thus, the one notebook' price n = $6 and the price of one pencil is p = $2.4.

Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. Once an equation is given in this format, finding both intercepts is rather simple (x and y). When attempting to solve systems involving two linear equations, this form is also quite helpful.

Let cost of a notebook to be 'n' dollars

Let the cost of a pencil to be 'p' dollars,

Then, the system of equations are-

3n + 5p = 30   ..eq 1

n + 10p = 30  ....eq2

multiply eq 2 with 3

3n + 30p = 90 ...eq 3

Subtract eq 3 from eq 1

3n + 5p - 3n - 30p = 30 - 90

25p = 60

p = 2.4

n + 10(2.4) = 30

n = 30 - 24

n = 6

Thus, the price of one notebook n = $6 and the price of one pencil is p = $2.4.

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The area of the rhombus, obtained from the dimensions, of the diagonals, found from the trigonometric of sines of the angle can be presented as follows;

Area = 8·√3

The area of a plane figure is the two dimensional space occupied by the figure on a plane.

The measure of the angle ABC, m∠ABC = 60°

The length of the segment AE = 2 units

The diagonals of a rhombus bisect each other at right angles, and the right angles through which they pass, therefore;

BE = ED, m∠AEB = 90°

m∠ABE = 30°

sin(30°) = AE/AB

sin(30°) = 2/AB

AB = 2/(sin(30°)) = 4

AB = 4

BE = √(4² - 2²) = √(12) = 2·√3

Therefore; AC = 2 + 2 = 4

BD = 2·√3 + 2·√3 = 4·√3

The area of a rhombus = (1/2) × The product of the length of the diagonals

Therefore;

Area of the rhombus = (1/2) × (4·√3) × 4 = 8·√3

The area of the rhombus = 8·√3

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Answer:

F(k) = 2k e-2 / k!

Mean =µ = 2 x 3 = 6

f(k) = 6k e-6 / k!

F(2) = 22 e-2 / 2!

        = 0.2707

F(6) = 66 e-6 / 6!

        = 0.1606

f(5) = 45 e-4 / 5!

      = 0.1563

Step-by-step explanation:

Solution:

Given:

Mean = µ = 2 per time period

Poisson probability:

F(k) = µk e-µ / k!

(a) Poisson probability for one time period.

Put µ = 2 in formula, we get:

F(k) = 2k e-2 / k!

(b) Expected number of occurrence in three time period.

Mean of one time period is multiply with number of time period.

Mean =µ = 2 x 3 = 6

(c) Probability of occurrence in three time period.

Put the value of µ = 6 in the given formula, we get:

f(k) = 6k e-6 / k!

(d) Probability of two occurrences in one time period.

Put k = 2 in given formula:

F(2) = 22 e-2 / 2!

        = 0.2707

(e) Probability of six occurrences in three time period.

Put k = 6, in given formula, we get:

F(6) = 66 e-6 / 6!

        = 0.1606

(f) Probability of five occurrences in two time period.  

Mean of one time period is multiply by the number of time periods.

µ = 2 x 2 = 4

put k = 5 and µ = 4 in formula, we get:

f(5) = 45 e-4 / 5!

      = 0.1563

Answer:

whats the question?

Step-by-step explanation:

Answer:

pls provide more info

Step-by-step explanation:

The number of ways the 6 books can be arranged on the 4 shelves by Amanda is 360 ways

From the question, we have the following parameters that can be used in our computation:

Total number of books, n = 6

Total number of shelves, r = 4

The number of ways the books could be arranged on the shelves is calculated using the following permutation formula

Total = ⁿPᵣ

Where

n = 6 and r = 4

Substitute the known values in the above equation, so, we have the following representation

Total = ⁶P₄

Apply the permutation formula

ⁿPᵣ = n!/(n - r)!

So, we have the following representation

Total = 6!/2!

Evaluate the quotient

Total = 360

Hence, the number of ways is 360

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Answer:

0.8438

0.8438 is a decimal and 84.38/100 or 84.38% is the percentage for 27/32.

Step-by-step explanation:

Answer:

0.84375

Step-by-step explanation:

well, the tax amount is simple, it was $71 and it went up to $86.45, that's a 15.45 difference, so that IS the tax amount.

now, if we take 71(origin amount) to be the 100%, what's 15.45 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 71 & 100\\ 15.45& x \end{array} \implies \cfrac{71}{15.45}~~=~~\cfrac{100}{x} \\\\\\ 71x=1545\implies x=\cfrac{1545}{71}\implies x\approx 21.76\)

Answer:

D

Step-by-step explanation:

If the scale is 1 centimeter per 8 miles, and there is a distance of 51.5 centimeters on the map, what you have to do is multiply 51.5 and 8

51.5 times 8 is 412.

The actual distance is 412 miles

Your answer would be D: 412 miles

You're welcome ;)

Using the integers −9 to 9 at most one time each, place a digit in each box (1, 3) and (9, 3) or (-9, 3) to create endpoints for the longest possible line segment both numerically and graphically whose midpoint is (1, 3).

To find the endpoints of the longest possible line segment with midpoint (1, 3), we can use the midpoint formula, which states that the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is ((x₁+x₂)/2, (y₁+y₂)/2).

In this case, we know the midpoint is (1, 3), so we can set up two equations using the variables for the endpoints (x and y) and solve for them:

(x₁ + x₂)/2 = 1

(y₁ + y₂)/2 = 3

We also know that the line segment must be as long as possible, so the endpoints should be as far away from each other as possible. To maximize the distance between the endpoints, we can choose one endpoint to be -9 and the other endpoint to be 9. This gives us:

(x₁ + x₂)/2 = 1 => x₁ + x₂ = 2

(y₁ + y₂)/2 = 3 => y₁ + y₂ = 6

Now we can solve for x₁ and y₁, since x₂ and y₂ will be 2-x₁ and 6-y₁ respectively:

x₁ + (2-x₁) = 2 => x₁ = 1

y₁ + (6-y₁) = 6 => y₁ = 3

So the endpoints of the longest possible line segment with midpoint (1, 3) are (1, 3) and (9, 3) or (-9, 3), and its length is 8 units.

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Answer:

D

Step-by-step explanation:

If there are 7 red balls and 10 black balls in a bag, then we can say that  red and black balls are present in the bag in ratio 7: 10

Ratio is a relationship between two or more values. a  units per b units.

a/b or a:b .

A part to part ratio of 7:10 can be written in the form of example given below:

If there are 7 red balls  and 10 black balls in a bag, then we can say that red and black balls are present in the bag in ratio 7:10

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Answer:

y=0

Step-by-step explanation:

So you would do -4(6y-3) and divide that by -4

then you would do 12 and divide that by -4

or

You could do

-6y-3 which equals -3

then

add three to both sides like this -6y-3+3=-3+3

then simplify it to -6y=0

then divide -6y over -6 and 0 over -6

then it will simplify to 0

The author of the review is disappointed with the meatball sub casserole recipe posted on Recipe Masters, which did not turn out well despite following the recipe.

The author recommends that others should not attempt to make the recipe and believes that Recipe Masters should ensure that their posted recipes are reliable and thoroughly tested. The author also implies that the quality of the recipes on Recipe Masters is not as advertised, which could potentially lead subscribers to lose faith in the service and seek out free recipe sites instead.

Therefore, a suitable summary of the author's point of view would be: The author is dissatisfied with the meatball sub casserole recipe on Recipe Masters, which did not work out well and believes that Recipe Masters should provide reliable, thoroughly tested recipes as advertised.

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Answer:

\((g \cdot h)(x)=x^2-2x+23\)

Step-by-step explanation:

For composite functions, it's important to understand what the functions mean:

\((g\cdot h)(x)\)  which is read as "g of h, of x" means \(g ( \text{ }h(x) \text{ })\) which is read as "g of, h of x" (with slight pauses at the comma).  This means that x goes into the h function, and the output of the h function goes into the g function.

Putting "x" into the h function

\(h(x)=-x+4\)

Since it is just "x" going into the h function, the function as written is the output when x is the input.

Putting the h function output, into the g function

\(g(x)=x^2-6x+3\)

\(g(h(x))=(h(x))^2-6(h(x))+3\)

Substitute

\(g(h(x))=(-x+4)^2+-6(-x+4)+3\)

Squaring means the something multiplied by itself

\(g(h(x))=(-x+4)*(-x+4)+-6(-x+4)+3\)

Use distributive property; (some people know binomial distribution as "FOIL" -- First, Outer, Inner, Last):

\(g(h(x))=[(-x)(-x)+4(-x)+4(-x)+4*4)]+[6x+4]+3\)

Simplify the binomial terms:

\(g(h(x))=[x^2-8x+16]+[6x+4]+3\)

Group like terms:

\(g(h(x))=x^2-2x+23\)

Remember that \((g\cdot h)(x)\)  means \(g ( \text{ }h(x) \text{ })\)

\((g \cdot h)(x)=x^2-2x+23\)

So, \((g \cdot h)(x)=x^2-2x+23\)

Answer:

4/3 square feet.

Step-by-step explanation:

To find the area of the replica, you need to use a formula that relates the area of the original figure and the area of the dilated figure by the scale factor1. The formula is:

Area of dilated figure = Area of original figure x (Scale factor)^2

In this case, the area of the original artwork is 12 square feet and the scale factor is 1/3. So, we plug these values into the formula and get:

Area of replica = 12 x (1/3)^2

Area of replica = 12 x 1/9

Area of replica = 4/3

So, the area of the replica is 4/3 square feet.

Hope this helps :)

Answer:

25 pencils.

Step-by-step explanation:

You have 30 blue pencils and 15 green ones. To find how many pencils of other colors are in the bag, we can solve: 70-15-30=25

So, there are 25 pencils of other colors in the bag.

Answer:

The number is 23

Step-by-step explanation:

23-10=13

Answer:

the answer is y=21

Step-by-step explanation:

hope this helps:)

Answer:

y=21

Step-by-step explanation:

92 = 5y - 13

92 + 13 = 5y - 13 + 13

105 = 5y

105/5 = 5y/5

21 = y

Hope this helps!

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Answer:

Pakistan is a south asian country that borders India, Iran, Afghanistan, and China

That is another country, it's right next door to India, Iran, Afganistan, Tajikistan, and across the water from it, is Oman.

La respuesta: 20-(-40)=60. 50-(-50)=100.

Para 20-___=60, tienes que restar 60 de 20. 20-60=-40

Para 50-___=100. tienes que restar 100 de 50. 50-100=-50.

Un negativo menos un negativo es igual a un positivo.