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3 years ago

12

What is the answer to this

2 answers:

mamaluj [8]3 years ago

6 0

The slope of this line is 0

Gwar [14]3 years ago

4 0

The slope of this line is 0, it would be undefined if the line were vertical

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Find the surface area of the cylinder in terms of pi. 9cm and 19cm

Natali [406]

Answer:

Surface area of cylinder= 211.5π

Step-by-step explanation:

Given,

Height of cylinder = 19cm

Diameter of cylinder = 9cm

i.e Radius of cylinder = diameter/2 = 9/2 = 4.5cm

Surface area of cylinder = 2πrh + 2πr²

Plug corresponding values of r and h in surface are formula.

Surface area of cylinder = 2πrh + 2πr² = 2π*4.5*19 + 2π*4.5²

Surface area of cylinder = 171π+40.5π = 211.5π

Hence we get surface area of cylinder= 211.5π

3 0

3 years ago

Lucy had math and reading homework tonight. Lucy can solve each math problem in 5 minutes and she can read each page in 2.5 minu

drek231 [11]

Answer:

$x=18,y=6$ , graph is there for reference.

Step-by-step explanation:

Given,

$x$ is the number of math problem Lucy solved.

$y$ is the number of pages she read.

She can do each math problem in $5$ minutes, therefore she can solve $x$ number of questions into $5 \times x=5x$ minutes.

She can read each page in $2.5$ minutes, therefore she can read $y$ pages in 2.5y minutes.

As per given detail,

$5x+2.5y=105$ equation 1.

And,

It is given that number of math problems Lucy solved is 3 times the number of pages she read.

$x=3y$ equation 2.

We need to find $x$ and $y$ intercept of each of the equation to graph them.

For $x-intercept$ put y=0

We will get $x=\frac{105}{5} =21$

Thus the point is $(21,0)$

Let us find $y-intercept$ by assuming $x=0$

we get $y=\frac{105}{2.5} =42$

Thus the point is $(42,0)$

Join these two points.

Similarly considering the other equation $x=3y$

Here x-intercept would be at $y=0$

We will get $x=0$

Thus the point is $(0,0)$

Let us assume on more point, say $x=30$ , we get $y=10$

Thus the point is $(30,10)$

Join these two points.

We will get a point of intersection at $(18,6)$

Thus $x=18$ and $y=6$

8 0

3 years ago

It takes nate four hours to paint a wall and it takes jill seven hours to paint the same wall about how many hours will it take

loris [4]

If Nate paints the wall in 4 hours, it means that he can paint 1/4 of the wall every hour.

Similarly, if Jill paints the wall in 7 hours, it means that he can paint 1/7 of the wall in one hour.

So, together, they paint the following fraction of the wall in one hour:

$\frac{1}{4}+\frac{1}{7} = \frac{4+7}{28} = \frac{11}{28}$ .

At this rate, they need 28/11 hours to paint the whole wall, in fact, after that amount of time they paint

$\frac{11}{28}\frac{28}{11} = 1$

i.e. the whole wall

7 0

3 years ago

Gloria has 4 ¼ gallons of fruit punch to share. Each serving is 1 pint. How many servings does she have to share?

Aloiza [94]

Answer:

D. 34 servings.

Step-by-step explanation:

1 gallon is 8 pints.

4.25 gallons * 8 pints = 34 servings of 1 pint each.

Hope this helps!

5 0

3 years ago

Sara solved the equation -6(x-2) + 3x = -3(x+3) + 21 What is the solution? <br> pls help :)

kirill115 [55]

To solve you can use inverse operations.

Here are the steps to find the answer:

1. Write out the equation: -6(x-2)+3x= -3(x+3) +21

2. Distribute both sides: -6x+12+3x= -3x-9+21

3. Simplify both sides: -3x+12=-3x+12

4. This equation is true for all values, or infinity, because the equation is the same on both sides

Let me know if you need further explanation. I hope this helps.

6 0

3 years ago