An unknown number b is 10 more than an unknown number k. The number b is also k less than 8. The equations to find k and b are shown below:b = k + 10
b = −k + 8

Which is a correct step to find k and b?
Write the points where the graphs of the equations intersect the x-axis. Write the points where the graphs of the equations intersect the y-axis. Add the equations to eliminate k. Multiply the equations to eliminate b.

Answer:

y=2/3x+4

Step-by-step explanation:

Use rise over run to find slope, then find where the line touches the y-axis to find the y-intercept

Answer:

The number of tickets bought is 1000 adults tickets and 700 children were present  

Explanation:

Let the number of children and adults present in the circus be x and y respectively

According to question,

Then, x + y = 1700  ……………..equation (1)

And, cost of ticket to circus for children and adult be 19, 42 respectively

Totalcost of ticket;

for adults = 42y; for children = 19x

19x + 42y = 55300  …………………equation (2)

Multiplying equation (1) by 19

19x + 19y = 32300  ……………… eqn (3)

Subtracting equation 1 and 3, we get

23y = 23000

y = 1000

putting this value in eq (1), we get x = 700

Therefore, 1000 adults and 700 children were present.

Final answer:

The length of the rectangle is 1 unit.

Explanation:

To find the length of the rectangle, we need to solve for the width first. We are given that the length of the rectangle is the width minus 8 units. Let's assume the width is 'w'. So the length would be 'w-8'. The area of the rectangle is given as 9 units. We can write the equation: (w-8) * w = 9. Solving this equation, we get w^2 - 8w - 9 = 0. Factoring or using the quadratic formula, we find that the width is approximately -1 or 9. Since the width cannot be negative, we discard -1 and conclude that the width is 9 units. Now, we can substitute this value back into the length equation to find the length: length = width - 8 = 9 - 8 = 1 unit.

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Answer:top box will be 86

2nd box will be 192

3rd box will be 144

Step-by-step explanation:

24x8= 192 subtract that to 206 , equals to 14, bring down the 4 makes to 144

24x6= 144 subtract that by 144 ,equals to 0

The area of the polygon is,

⇒ 140 units²

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

A polygon is shown in figure.

Now, We get;

The polygon is made by two rectangles.

Hence, The area of the polygon is,

⇒ 17 x 5 + 11 x 5

⇒ 85 + 55

⇒ 140 units²

Thus, The area of the polygon is,

⇒ 140 units²

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