What is the ratio of the area of ABC to the area of ABD ?

A . 3/5
B. 9/16
C. 8/15
D. 3/4

Answer:

1/99

Step-by-step explanation:

total is 99 and there is only one 99 between 0-99 so the probability is 1/99

Kayla's profit per kilogram is $60 when the price of Crottin de Chavignol varies after months.

Profit is the term used to describe the financial gain experienced when the revenue from a commercial activity exceeds the costs, costs, and taxes associated with maintaining that activity.

Given Data

Since the price and quantity are settled in the future using futures contracts, they are both agreed upon.

Profit per kilogram is equal to:

Purchasing Crottin de Chevignol without a futures contract cost more money than purchasing it with a futures contract.

Profit = (3500 x 230) - (3500 x 170)

Profit = 210,000

Profit per kilogram = \(\frac{210000}{3500}\)

Profit per kilogram = 60

Profit per kilogram is $60.

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By using the division property of equality we can divide both sides by -12 to get the solution x = -4

An equation:

A = B

Says that the number A is equal to the number B, so basically, are the same number.

So, if we divide both A and B by the same number C, we will get:

A/C and B/C

And A and B are the same numbers, then A/C and B/C also are the same numbers.

So in an equation, we can divide both sides by the same number (except 0) and the equation will not change.

In this case we have:

-12*x = 48

We could divide both sides by -12, so we will get:

-12*x/-12 = 48/-12

x*(-12/-12) = -4

x = -4

And thus we used the division property of equality to solve the equation.

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The following triangle is a right-angle triangle. Option B is correct.

If any of its inner angles is 90 degrees, the triangle is said to be right-angled. Another term for this triangle is the right triangle or 90-degree triangle.

From the given triangle, it is observed that one of the angles is 90°, showing the given triangle is a right-angle triangle.

Hence, option B is correct.

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Answer:

225 is the answer

15 times 15

Step-by-step explanation:

Answer:

b=60

Step-by-step explanation:

Add 8 to both sides to receive the equation of 20=b/3

Multiply all sides by 3 to get 60 as b

Answer:

Step-by-step explanation:

To find the original price given the new price and percentage discount we use the formula

\(original \: \: price = \frac{100}{(100 - x)} \times new \: \: price \\ \)

where

x is the percentage discount

From the question

new price = $ 84

% discount = 30%

Substitute the values into the above formula and solve

That's

\(original \: \: price = \frac{100}{100 - 30} \times 84 \\ = \frac{100}{70} \times 84 \\ = \frac{10}{7} \times 84 \\ = 12 \times 10\)

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

84*0.30= $25.2

84+ 25.2 = $109.2

The fοci οf the given ellipse are apprοximately (-0.65, 3) and (-3.35, 3).

An ellipse is a clοsed curve in a plane that is symmetric abοut twο intersecting perpendicular axes, called the majοr axis and the minοr axis.

The given equatiοn represents an ellipse centered at the pοint (-2, 3) with semi-majοr axis οf length 4 and semi-minοr axis οf length 3. Tο find the fοci, we can use the fοrmula \(\rm c = \sqrt{(a^2 - b^2)\), where a is the length οf the semi-majοr axis and b is the length οf the semi-minοr axis.

In this case, a = 4 and b = 3, so:

\(\rm c = \sqrt{(4^2 - 3^2) }= \sqrt7\)

The foci are located on the major axis of the ellipse, which is parallel to the x-axis and passes through the center (-2, 3).

Therefore, the coordinates of the foci are \((-2 + \sqrt7, 3)\) and \((-2 - \sqrt7, 3)\).

Hence, the foci of the given ellipse are approximately (-0.65, 3) and (-3.35, 3).

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Answer:

18 people

Step-by-step explanation:

So for each person, the carter charges $19.25. With $350, you can have 350/19.25 people. This make 18.18 people. You can't have 0.18 of a person, so you can only have 18 people at your party.  

Answer:

A. 2x + 20

B. 20y + 15

C. 21c - 7

D. 24n + 28

E. 10x - 50

F. 18n + 45

Answer:

a)2x+20

b)20y+15

c)21c-7

d)24n+28

e)10x-50

f)18n+45

Step-by-step explanation:

a)2(x+10)=2*x+2*10=2x+20

b)5(4y+3)=5*4y+5*3=20y+15

c)7(3c-1)=7*3c-7*1=21c-7

d)4(6n+7)=4*6n+4*7=24n+28

e)10(x-5)=10*x-10*5=10x-50

f)9(2n+5)=9*2n+9*5=18n+45

Answer:

it is too blury to read

Step-by-step explanation:

The maximum value of the original data set is 109.

To determine the maximum value of the original data set from the given stemplot, we need to look at the rightmost digits in each stem and identify the highest value.

Looking at the stemplot:

O 10 | 0 0 8 9 8 9 0 0 0

0 20 | 5 4 7 9 6

0 30 | 1 4 6 7 7 9 7

0 40 | 0 0 2 5 5 7 7 9 9 8

0 50 | 1 2 2 2 3 4 5 5 7 8 9 9

0 60 | 0 0 0 3 3 3 3 6 8

The rightmost digits in each stem represent the original data values. We can see that the highest value occurs in the stem "10" with a rightmost digit of "9".

Therefore, the maximum value of the original data set is 109.

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Answer:

Step-by-step explanation:

plug in 7

f(x)=3(7)+2

multiply 3 and 7 which is 21

and 2

f(x)=23.

The solution to the system of equations is x = -3 and y = -4.

To solve the system of equations:

Equation 1: 2x - y = -10

Equation 2: 3x + 2y = -1

We can use the method of substitution or elimination to find the values of x and y.

Let's use the method of elimination:

Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:

2(2x - y) = 2(-10)

4x - 2y = -20

Now, we can eliminate y by adding Equation 2 and the modified Equation 1:

(3x + 2y) + (4x - 2y) = -1 + (-20)

7x = -21

x = -3

Substitute the value of x into Equation 1 to solve for y:

2(-3) - y = -10

-6 - y = -10

y = -10 + 6

y = -4

Therefore, the solution to the system of equations is x = -3 and y = -4.

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Answer:4x - 2 = 12

Step-by-step explanation:

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Answer:

Step-by-step explanation:

The expression simplifies as follows:

  aΔb = (a² -b)/(b -a²) = -(b -a²)/(b -a²) = -1 . . . . . for b≠a²

That is, for any values of 'a' and 'b', the expression evaluates to -1.

  2 Δ 1/2 = -1

  5 Δ -3 = -1

_____

Additional comment

The purpose of simplifying the expression is to avoid having to do unnecessary arithmetic. If you actually want to see the arithmetic, it looks like this:

  2 Δ 1/2 = (2² -(1/2))/(1/2 -2²) = (7/2)/(-7/2) = -1

  5 Δ -3 = (5² -(-3))/(-3 -5²) = 28/-28 = -1

Answer:

The answer is 56°. Angle B is an exterior angle of triangle ABC, which means it is equal to the sum of the two remote interior angles (angles A and C). Angle A is 35°, angle C is 121°, so angle B is 56°.

Answer:

7%

Step-by-step explanation:

Interest = Principle × Rate as a decimal × Time in years

840 = 4000 × r × 3

840 = 12,000r

r = 840/1200 = 0.07

Answer:

Option 3

(3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Step-by-step explanation:

Factorize polynomials:

Use exponent law:

                   \(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)

9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²

25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²

Now use the identity:  a² - b² = (a +b) (a -b)

Here, a = 3xy³ & b = 5x²y⁴

9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²

                       = (3xy³)² - (5x²y⁴)²

                      = (3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

This represents the distance that Mr. Stein drove, given that Mr. Smith drove x miles. The value of x must be between 0 and 140, since Mr. Smith cannot drive more than 140 miles and less than 0 miles.

An algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. It can be simplified, evaluated, or manipulated using algebraic rules and properties.

Let x be the number of miles Mr. Smith drove. Then, the number of miles Mr. Stein drove is \(140 - x\)  , since they drove a total of 140 miles and Mr. Smith already drove x miles.

the algebraic expression for how many miles Mr. Stein drove is:

\(140 - x\)

Therefore, This represents the distance that Mr. Stein drove, given that Mr. Smith drove x miles. The value of x must be between 0 and 140, since Mr. Smith cannot drive more than 140 miles and less than 0 miles.

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The sum of integers from 33 to 47 is 600.

So, the sum of integers:

Simply perform addition as follows:

Therefore, the sum of integers from 33 to 47 is 600.

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Answer:

11

Step-by-step explanation:

Step 1:

Since b = 3, substitute 3 into the expression for b

2(3) + 5

Step 2:

2(3) = 6 so the expression is now 6 + 5

Step 3:

6 + 5 = 11

Answer:

180

Step-by-step explanation:

Divide 540 by 3 to get 180 which is your answer!

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Solution:

Note that:

Simplify the equation to know how much beats in 1 minute.

The beats per minute in this song is 180 beats per minute.

The length of the field is greater than the width by the expression \((14x - 3x^2 + 2y) - (5x - 7x^2 + 7y).\)

1. The length of the field is represented by the expression \(14x - 3x^2 + 2y.\)

2. The width of the field is represented by the expression \(5x - 7x^2 + 7y\).

3. To find the difference between the length and width, we subtract the width from the length: (\(14x - 3x^2 + 2y) - (5x - 7x^2 + 7y\)).

4. Simplifying the expression, we remove the parentheses: \(14x - 3x^2 + 2y - 5x + 7x^2 - 7y.\)

5. Combining like terms, we group the \(x^2\) terms together and the x terms together: \(-3x^2 + 7x^2 + 14x - 5x + 2y - 7y.\)

6. Simplifying further, we add the coefficients of like terms:\((7x^2 - 3x^2) + (14x - 5x) + (2y - 7y).\)

7. The simplified expression becomes: \(4x^2 + 9x - 5y.\)

8. Therefore, the length of the field is greater than the width by the expression \(4x^2 + 9x - 5y.\)

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Answer:

6¼ in

Step-by-step explanation:

¾ = 0.75

25 mi ÷ 3 mi = 8.333

8.333 * 0.75 in = 6.25 in = 6¼ in

The linear function for the total cost C is:

A function is an expression, rule, or law that defines a relationship between one variable.

Example:

\(f(\text{x}) = 2\text{x} + 1\)

\(f(1) = 2 + 1 = 3\)

\(f(2) = 2 \times 2 + 1 = 4 + 1 = 5\)

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The total cost for x cubic yards.

\(\bold{C = 28 + 48x}\)

Thus, the function is C = 28 + 48x.

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The flying squirrel travels a total of 46 feet to get from its nest to the acorn and back again.

We can use the Pythagorean theorem to calculate the distance that the flying squirrel travels when gliding from the nest to the acorn and then back to the base of the tree.

Let's call this distance d:

d² = 10² + 24²

d² = 676

d = √676

d = 26

Therefore, the distance that the flying squirrel travels when gliding from the nest to the acorn and then back to the base of the tree is 26 feet.

To find the total distance that the flying squirrel travels, we need to add the distance that the squirrel climbs up the tree.

Since the tree is 10 feet tall, the total distance that the flying squirrel travels is:

26 + 10 + 10 = 46

Therefore, the flying squirrel travels a total of 46 feet to get from its nest to the acorn and back again.

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