Demonstrate using your own unique example how to divide a segment by a given ratio.

Answers

Answer 1
Answer: To find the point P that divides a segment AB into a particular ratio, determine the ratio k by writing the numerator over the sum of the numerator and the denominator of the given ratio. Next, find the rise and the run (slope) of the line. Finally, add (k. the run) to the x-coordinate of A and add

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Baseball tickets cost $15 for general admission or $20 for box seats. the sales tax on each ticket is 8%. What is the final cost of each type of ticket

Answers

Answer:

the final cost of a box seat ticket is $21.60.

Step-by-step explanation:

To calculate the final cost of each type of ticket, we need to add the sales tax to the original ticket prices.

For the general admission ticket:

Original price = $15

Sales tax = 8% of $15 = 0.08 * $15 = $1.20

Final cost of general admission ticket = Original price + Sales tax = $15 + $1.20 = $16.20

Therefore, the final cost of a general admission ticket is $16.20.

For the box seat ticket:

Original price = $20

Sales tax = 8% of $20 = 0.08 * $20 = $1.60

Final cost of box seat ticket = Original price + Sales tax = $20 + $1.60 = $21.60

Therefore, the final cost of a box seat ticket is $21.60.

Identify the solution to the system of equations

Answers

Answer:

(-2, -1).

Step-by-step explanation:

When trying to find the solution to a system of equations graphically, all you need to do is find the point of intersection between the two equations.

In the graph pictured, we can see that the two equations intersect at (-2,-1).

Solve for m: 18d – 2m + 9k < 5k + 10.

Answers

Simple,

just go with the flow,

18d-2m+9k<5k+10
             -9k  -9k

18d-2m<-4k+10....

18d-2m<-4k+10
-18d      -18d

-2m<-18d-4k+10

Now, divide.. (but remember when dividing by a negative the sign gets flipped)

(-2m)/(-2) \ \textless \ (-18d-4k+10)/(-2)

Thus, m>9d+2k-5.

Your answer.. :D

Samir buys x cans of soda at 30 cents each and (x+4) cans of soda at 35 cents each. The total cost was $3.35. Find x

Answers

An equation is formed of two equal expressions. The value of x is 3.23.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The cost of x cans can be written as =x * 0.30

The cost of (x+4) cans can be written as,

(x+4) * 0.35\n= 0.35 x+ 1.4

Now, the total cost of the cans is given to us like $3.35, therefore, the value of x can be written as,

(0.30x) + 0.35x+ 1.4 = 3.35\n\n0.65x = 3.5-1.4\n\nx = (2.1)/(0.65)\n\nx = 3.23

Hence, the value of x is 3.23.

Learn more about Equation:

brainly.com/question/2263981

0.30is the cost of the first type of soda. 0.35(x+4) is the cost of the second type of soda. Put these into an equation looking like:

Cost of Soda A + Cost of Soda B = Total Cost
0.30+ 0.35(x+4)=3.35 --> Expand 0.35(x+4)
0.30x + 0.35x + 1.4 = 3.35 --> Add the x's and subtract 1.4
0.65x = 1.95 --> Divide by 0.65
x = 3

Samir buys 3 cans of soda at 30 cents each and 7 (3+4) cans of soda at 35 cents each. Samir buys a total of 10 cans of soda.

I need help right away with the next problem.

Answers

Answer:

  see below

Step-by-step explanation:

To convert the numbers to percentages, divide each number by the table total (80) and multiply by 100%. That is equivalent to multiplying each number by 1.25%. For example, 18·1.25% = 22.5% (middle table number).

which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Check all that apply. y = –x + 1 3x − 4y = −4 4x − 3y = −3 y – 2 = –(x – 4) y + 2 = (x + 4)

Answers

Answer:

\text{The equation represent the line that is parallel to 3x - 4y = 7 and passes through the point (-4, -2) is 3x-4y=-4}      

Step-by-step explanation:

Given the equation 3x - 4y = 7

we have to find the equation which represent the line that is parallel to          3x - 4y = 7 and passes through the point (-4, -2)

As parallel lines have same slope therefore we find the slope of given line

3x-4y=7

4y=3x-7

y=(3)/(4)x-(7)/(4)

Comparing above equation with general equation y=mx+c, where m is slope

m=(3)/(4)

\text{The equation of line having slope }(3)/(4)\text{ and passing through the point (-4,-2) is}

y-y'=m(x-x')

y-(-2)=(3)/(4)(x-(-4))

y+2=(3)/(4)(x+4)

4y+8=3x+12

3x-4y=-4

which is required equation.

Option 2 is correct.