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3 years ago

Add [1/2x-4+2y]+[2/5x+5-4y]=

Mathematics

1 answer:

SashulF [63]3 years ago

7 0

Answer:

9/10x-2y+1

Step-by-step explanation:

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The figure shows a cylinder of diameter 12cm and height = 15cm. A hole in the shape of cone is bored into one of its end. If the

Lisa [10]

Answer:

$\bold{495\pi} \approx \bold{1555.088 cm^3}$

Step-by-step explanation:

There was no figure but the question is clear

Volume of a cylinder is given by the formula $\bold{\pi r^2h}\\$

where r is radius of base of cylinder, h is the height

Volume of a cone is given by $\bold{\frac{1}{3} \pi r^2 h}$

where r is the radius of base of cone, h is the height

The radius of the cylinder = $\frac{1}{2}$ (diameter) = $\frac{1}{2}$ (12) = 6cm

Height of cylinder = 15cm

Volume of cylinder $V_{cyl} = \pi (6)^2 15 = \pi (36)15 = \bold{540\pi}$

Radius of cone = $\frac{1}{2}$ (radius of cylinder) = $\frac{1}{2}$ (6) = 3 cm

Height of cone same as height of cylinder = 15cm

Volume of cone, $V_{cone} = \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (3)^2 15 = \frac{1}{3}(9)15\pi = \bold{45\pi}\\$

Difference is the volume of the remaining solid

$V_{cyl} - V_{cone} = 540\pi - 45\pi = \bold{495\pi} \approx \bold{1555.088 cm^3}$

5 0

1 year ago

The following formula can be used to find the distance that a person has run.

Mrrafil [7]

So distance = rate × time. You would do 3/4 × 5.5, which would get you 4.125.

8 0

3 years ago

Read 2 more answers

Ingredients for 7 cakes

lisabon 2012 [21]

Answer:

He made 5 cakes

Step-by-step explanation:

49 divided by 7 = 7

56 divided by 7 = 8

70 divided by 7 = 10

63 divided by 7 = 9

So for one cake you would need 7 g sugar, 8 g butter, 10 g flour, and 9 ml milk. So, 50 divided by 10 = 5 cakes

3 0

2 years ago

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What is the y-intercept of the line? y= -2x - 8 y-intercept =

ivolga24 [154]

Like I said on the other question. Slope will ALWAYS be the number beside x and y-intercept will always be after that.

Slope-intercept form = y = mx + b

Slope goes where m is and y-intercept goes where b is.

Hope this helps!

3 0

3 years ago

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One canned juice drink is 20% orange juice, another is 5% orange juice, how many liters of each should be mixed together in orde

gavmur [86]

Answer:

11 L of 20% juice and 4 L of 5% juice

Step-by-step explanation:

Let

x L = amount of 20% juice

y L = amount of 5% juice

20% juice:

Amount = x L

Amount of juice $=0.2x$ L

5% juice:

Amount = y L

Amount of juice $=0.05y$ L

16% juice:

Amount = 15 L

Amount of juice $=0.16\cdot 15=2.4$ L

We mixed x L of 20% juice with y L of 5% juice to get 15 L of 16% juice, so

$x+y=15$

and

$0.2x+0.05y=2.4$

From the first equation:

$x=15-y$

Substitute it into the second equation:

$0.2(15-y)+0.05y=2.4\\ \\20(15-y)+5y=240\\ \\300-20y+5y=240\\ \\-20y+5y=240-300\\ \\-15y=-60\\ \\15y=60\\ \\y=4\ L\\ \\x=15-4=11\ L$

4 0

3 years ago