MATHEMATICS HIGH SCHOOL

Simplify the question
10x /(divide) -2y

Answers

Answer 1

Answer:

-5x/y is the answer

Step-by-step explanation:

10x/-2y

Dividing by 2

=5x/-y

=-5x/y

I hope this will help you :)

Answer 2

Answer:

Answer:

(-5x)/y

Step-by-step explanation:

I'm assuming you meant:

10x

---------

-2y

-5x

This reduces to ----------

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THere are 7 people on the bus, and the bus picks up 4 additional people at each stop. How many stops will it take to have 31 people on the bus?

Answers

Answer:

6 stops.

Step-by-step explanation:

The answer is 6 stops, because 4 times 6 is 24 and 24 plus 7 is 31.

Find the value of x (3x+38)5x

Answers

Answer:

Step-by-step explanation:

3x = -38 + 5x

3x + -5x = -38 + 5x + 5x

3x + -5x = -2x

-2x = -38 + 5x + -5x

5x + 5x =0

-2x = -38 + 0

-2x = -38

-2x / -12 = 38 / -2

x=19

Which inequality is represented by this graph?

Answers

Answer: Choice B. $y \le -(1)/(3)x+1$

=====================================================

Explanation:

We need to know the equation of the boundary line. This boundary goes through (0,1) and (3,0). Find the slope of the line through these points

m = (y2-y1)/(x2-x1)

m = (0-1)/(3-0)

m = -1/3, negative slope means the line goes downhill as we move from left to right.

The y intercept is b = 1 as this is where the boundary crosses through the y axis

y = mx+b turns into y = (-1/3)x+1 after replacing m and b with m = -1/3 and b = 1 respectively.

The equation of the boundary line is y = (-1/3)x+1

-------------

The shading is below the boundary, so we'll have a "less than" sign involved here. More specifically, we'll have a "less than or equal to" sign because the boundary is a solid line rather than a dashed one. A solid line tells us "points on the boundary are part of the solution set". The inclusion is because of the "or equal to" portion.

Change the equal sign to a less than or equal to sign to get the final answer of $y \le -(1)/(3)x+1$ which is choice B.

Which of the following is the surface area of the right cylinder below?height 2
radius 9

A. 174 units2
B. 187 units2
C. 198 units2
D. 162 units2

Answers

The lateral area of a cylinder (i.e. without the bottom and top lids) is 2πrh = 2π(9)(2) = 36π

The area of the two lids is 2[π(r^2)] = 162π

The sum is: 36π + 162π = 198π

I guess the answers included π but you couldn't type it.

Answer: The surface area of right cylinder is $198\pi \text{ units}^2$

Step-by-step explanation:

To calculate the total surface area of cylinder, we use the formula:

$\text{Total surface area of cylinder}=2\pi r(r+h)$

where,

r = radius of cylinder = 9 units

h = height of the cylinder = 2 units

Putting values in above equation, we get:

$\text{Total surface area of cylinder}=2\pi * 9(9+2)\n\n\text{Total surface area of cylinder}=2\pi * 9* 11\n\n\text{Total surface area of cylinder}=198\pi \text{ units}^2$