Twelve-year old Aaron O'Leary of Columbus, Ohio bought old bikes at an auction for $350. He fixed them and sold them for $50 each. He made a $6200 profit. Solve 6200 = 50b - 350 to determine how many bikes he sold. a. 140 bikes b. 150 bikes c. 131 bikes d. 200 bikes

Aircraft A has 312 seats.

Let's assume that Aircraft B has x seats.

According to the given information, Aircraft A has 105 more seats than Aircraft B. So, the number of seats in Aircraft A can be expressed as x + 105.

The total number of seats in both aircraft is 519, which can be represented by the equation:

x + (x + 105) = 519

Simplifying this equation, we have:

2x + 105 = 519

Subtracting 105 from both sides, we get:

2x = 414

Dividing both sides by 2, we find:

x = 207

Therefore, Aircraft B has 207 seats.

To find the number of seats in Aircraft A, we substitute the value of x back into the expression x + 105:

Aircraft A = 207 + 105 = 312

Hence, Aircraft A has 312 seats.

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The equation that represents the line that has a slope of 1/3 and an x-intercept of 5 is y - 0 = 1/3(x - 5). The correct option is b. y - 0 = 1/3(x - 5)

From the question, we ae to write the equation of a line that has the given slope and x-intercept.

From the equation for the point-slope form of a line,

y - y₁ = m(x - x₁)

Where m is the slope

and (x₁, y₁) is a point on the line

From the given information,

m = 1/3

and

The x-intercept is 5, that is, (5, 0)

Thus,

The equation of the line is

y - 0 = 1/3(x - 5)

Hence, the equation is y - 0 = 1/3(x - 5)

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Answer:

(P+20)(p-2)

Step-by-step explanation:

p^2+18p-40

P^2+(20-2)p-40

P^2+20p-2p-40

P(p+20)-2(p+20)

(P+20)(p-2)

Answer:

I believe it would be B.

Let me know if you want work!

Answer: 834.142857143

Step-by-step explanation: I did it on paper this is like 3rd grade math.

Answer:

\((x + 1)(x + 8)\)

Thank you ☺️☺️

Answer:

h = -2

Step-by-step explanation:

1. Simplify the left hand side: 8h = -16

2. DIvide both sides by 8: h = -16 ÷ 8 = -2

Hope this helps!

Answer:

ℎ = − 1 6 /7

Step-by-step explanation:

Step 1: Combine like terms.

ℎ − 8 ℎ + 1 9 ℎ − 5 ℎ = − 1 6

7 ℎ = − 1 6

Step 2: Divide both sides of the equation by the same term.

7 ℎ = − 1 6

7ℎ/7=−16/7

Step 3: Simplify

ℎ=−16/ 7 = Answer

answer

0

Step-by-step explanation:

you plug in the 2 into every xbox value

Answer:

f(x)= x²-2x

For finding f(x²), replace x with x²

f(x²)= (x²)²-2x²

= x⁴-2x²

Hope it helps :-)

Using scientific notation, it i found that the result of the expression is given as follows:

C. 974,000.

A number in scientific notation is given by:

\(a \times 10^b\)

With the base being \(a \in [1, 10)\).

In this problem, to solve the sum, we have to place the numbers in the same base, hence:

\(7.4 \times 10^4 + 9 \times 10^5 = 0.74 \times 10^5 + 9 \times 10^5 = 9.74 \times 10^5 = 974000\)

Hence option C is correct.

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let number of green balls= x

let number of orange balls=x+4

x+x+4=38

2x=38-4

2x=34

x=17

number of green balls=17

number of orange balls=21

Answer:

First one

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

1/18

Step-by-step explanation:

1/2 divided by 9 = 1/2 * 1/9 = 1/18

Answer:(4,5π/4)

Step-by-step explanation:

Note that the point is on the circle whose radius is labeled 4, so r=4. The angle of the point is 5π4, so θ=5π4. Thus, the polar coordinates are (4,5π4).

The equation of the line through the point (3,5) that cuts off the least area from the first quadrant is 5x +3y -30 = 0.

An intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is the slope and c is the y-intercept.

There are basically two intercepts, x-intercept and y-intercept. The point where the line crosses the x-axis is the x-intercept and the point where the line crosses the y-axis is the y-intercept.

The equation of the line, which intersects the y-axis at a point is given by:

                           y = mx + c

Suppose the line passes through (t,0) and (3,5), where t>3. Then the y-intercept is at (0, 5t/t-3).

So the area of the triangle is:

\(\frac{1}{2}\)×\(t\)×\(\frac{5t}{t-3}\) \(=\)\(\frac{5(t^{2} )}{3(t-3)}\)

Then:

d(5t²/2(t-3))/dt = (5t/t-3) - 5t²/2(t-3)²

=  5t²(2(t-3)-t)/2(t-3)²

=5t(t-6)/2(t-3)²

Since we require t >3, the zero of the derivative that we see is when t=6.

We can write the equation of this line as: 5x +3y -30 = 0

Thus, the equation of the line through the point (3,5) that cuts off the least area from the first quadrant is 5x +3y -30 = 0.

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Answer: 2.556

Step-by-step explanation:

23/9 = 2.5555555555 (endless 5)

round to nearest thousandths... three places from the decimal point.

2.5555... round up since 5 is the number next to the thousandth place.

Answer:

22. Congruent traingle

24. Similar traingle

We need to compare their corresponding sides and angles to determine if the two triangles are congruent or similar.

Attached flowchart to help you determine if two triangles are congruent or similar: See Attachment:

Properties of the similar triangle:

Properties of the Congruent Triangle:

Answer:

2,400.

Step-by-step explanation:

Since the shopkeeper bought 100 blankets at $ 2000 each, he spent a total of $ 200,000. He wants to make a total profit of 14% through his sale, that is, he wants to make sales for $ 228,000 (200,000 x 1.14).

Since he sold 10 defective blankets at $ 1200 each, he recovered a total of $ 12,000. Therefore, he has $ 216,000 (228,000 - 12,000) left to achieve his goal, through the sale of 90 blankets. Therefore, you must sell each blanket for $ 2,400 (216,000 / 90) to make the desired profit.

Answer:

31.43ft

Step-by-step explanation:

πd=22/7×10ft

=31.43ft

Answer:

78.5 sq feet

Step-by-step explanation:

Diameter = 10 feet

Radius = 5 feet

Area of circle=πr²

                     = π(5)²

                     = 25π

                     = 25 x 3.14

                     = 78.5 sq feet

The probability of having at least 2 red balls in the 3 that I picked will be 1/3.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

I have 3 red balls, 3 blue balls, and 3 yellow balls in a crate. All out of 9 balls.

If the three balls are picked randomly, then the probability of having at least 2 red balls in the 3 that I picked will be given as,

P = 3/9

P = 1/3

The probability of having at least 2 red balls in the 3 that I picked will be 1/3.

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The expression of the statement that is given above can be written as follows: 262144y³ + 27.

To determine how to express the given statement the following should be carried out.

When a number is said to be cubed, it means that the number should be times by itself three consecutive times.

That is (64y + 3)³. This means that various components should be multiplied by itself three times. That is,

= 64×64×64(y)³ + 3×3×3

= 262144y³ + 27.

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Answer: A, first one

Step-by-step explanation: screenshot

Answer:

A

Step-by-step explanation:

(5x4) - 6 / 2 = x

Answer:

OMGGG UHHH ITS EITHER A OR C B IS ELIMINATED IT WOULDN'T MAKE SENSE TO ADD PARENTHESIS

Answer:

If each sheet of paper were to make 8 pages, then you must multiply 75,000 by 8 to find the total amount of pages will be available to make notebooks.

75,000x8=600,000

Now, each notebook contains 200 pages so you must divide 600,000 by 200 to distribute the pages within the notebooks.

600,000/200=3,000.

In conclusion, 3,000 notebooks can be made from the paper currently available in your problem

The number of cannonballs in illustration is 506.

Math Illustrations enables you to produce more useful geometry figures for your students in less time by fusing the constraint-based design of Geometry Expressions with simple-to-use sketching and graphing features.

The number of cannonballs in the first layer = 1² = 1

Number of cannonballs in the second layer = 2² = 4

Number of cannonballs in the third layer = 3² = 9

So, the generalized formula to count the balls is given as

= n(n + 1) (2n + 1)/ 6

Here, n= the total number of layers

Put n =11

11(11 + 1)(2(11) + 1) / 6

= 11(12)(23)/6

= 3036/6
= 506

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The equation for hyperbola with given foci is \(\frac{(x+3)^{2}}{49}-\frac{(y-6)^{2}}{32}=1\)

What is hyperbola?

In analytical geometry, a hyperbola is a conic section that results from the intersection of a plane with a double right circular cone at an angle that touches both of the cone's halves. The two distinct unbounded curves that result from the intersection of the plane and cone are known as hyperbolas.

The standard equation of a horizontal hyperbola with center (h,k) is

\(\frac{(x-h)^{2}}{a^{2} } -\frac{(y-k)^{2}}{b^{2} }=1\)

The given hyperbola has vertices at (–10, 6) and (4, 6).

The length of its major axis is 2a= 4-(-10)

2a=14

a=7

The center is the midpoint of the vertices (–10, 6) and (4, 6).

The center is \((\frac{-10+4}{2} , \frac{6+6}{2} )= (-3,6)\)

Now, we need to use the relation a^2+b^2=c^2 in order to find b^2.

The c-value is the distance from the center (-3,6) to one of the foci (6,6)

c= 6-(-3)=9

So, 7^2+b^2=9^2

b^2= 9^2-7^2

b^2= 81-49

b^2= 32

Hence, on substituting the obtained values in the standard equation of hyperbola, we get

\(\frac{(x-(-3))^{2} }{7^{2}}-\frac{(y-6)^{2} }{32} =1\)

\(\frac{(x+3)^{2} }{49}-\frac{(y-6)^{2} }{32} =1\)

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Answer:

I'm not sure the right equation to used for this problem. can someone help me please.

Answer:

10

Step-by-step explanation:

The value of length BC is 18.9

Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

Therefore,

c² = a² + b² - 2abcosC

To find the length BC we use cosine rule.

c² = 13² + 7² - 2(13)(7)cos140

c² = 218 - 182cos140

c² = 218-(-139.42)

c² = 218+139.2

c² = 357.2

c = √357.2

c = 18.9

Therefore, the length of BC is 18.9

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In the triangle, the value of the side BC is 18.9cm to 1 decimal place

The side BC can be found using the cosine formula, Remember that Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

The cosine formula states that

c² = a² + b² - 2abcosC

To find the length BC we use cosine rule.

c² = 13² + 7² - 2(13)(7)cos140

c² = 218 - 182cos140

c² = 218-(-139.42)

c² = 218+139.2

c² = 357.2

c = √357.2

c = 18.9

In conclusion, the value of  the length of BC is 18.9cm

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