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3 years ago

Please someone help me

Mathematics

1 answer:

Mariana [72]3 years ago

4 0

9514 1404 393

Answer:

121/14 or 8 9/14

Step-by-step explanation:

The quotient of 1/8 and 1/4 is ...

(1/8)/(1/4) = (1/8)(4/1) = 4/8 = 1/2

The product of 2 2/3 and 3 3/7 is ...

(2 2/3)(3 3/7) = (8/3)(24/7) = (8·24)/(3·7) = 64/7

Subtracting the first result from the second gives ...

64/7 -1/2 = (128 -7)/14 = 121/14 = 8 9/14

_____

Additional comment

When subtracting fractions with denominators that have no common factors, I find it useful to make use of the formula ...

$\dfrac{a}{b}-\dfrac{c}{d}=\dfrac{ad-bc}{bd}$

In this case, that gives us (64·2 -7·1)/(7·2) = (128 -7)/14.

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The line passes through the points (-5,0) and (-1,-4) The slope of the line is

kotykmax [81]

Answer:

-1.

Step-by-step explanation:

First, you find the distance from the first x coordinate to the second. This is done by doing -5 - -1 (aka -5 + 1), which equals -4. Then, you find the distance form the first y coordinate to the second. THis is done by doing 0 - -4 (aka 0 + 4), which equals 4. Then, you divide the distance of the y's over the distance of the x's, which gets you the slope, which is -1. Hope this helped!

8 0

3 years ago

Find the height of a right cylinder with surface area 160pie square units and radius 5 units

jenyasd209 [6]

Given:

Radius of a cylinder = 5 units.

Surface area of the cylinder = $160\pi$

To find:

The height of the right cylinder.

Solution:

Surface area of a cylinder is:

$A=2\pi rh+2\pi r^2$

Where, r is radius and h is the height of the cylinder.

Putting $r=5, A=160\pi$ in the above formula, we get

$160\pi =2\pi (5)(h)+2\pi (5)^2$

$160\pi =10\pi h+2\pi (25)$

$160\pi =10\pi h+50\pi$

Subtract $50\pi$ from both sides.

$160\pi -50\pi=10\pi h$

$110\pi=10\pi h$

Divide both sides by $10\pi$ .

$\dfrac{110\pi}{10\pi}=h$

$11=h$

Therefore, the height of the cylinder is 11 units.

8 0

3 years ago

If (x-10) is a factor of the polynomial P(x), which of the following do we know to be true?

Anon25 [30]

Answer:

Option 3, p(0) = -10

Option 4, p(10) = 0

Step-by-step explanation:

Step 1: Check

x - 10 + 10 = 0 + 10

x = 10

f(0) = 0 - 10 = -10

x = -10

p(10) = 0

Answer: Option 3, p(0) = -10, Option 4, p(10) = 0

4 0

3 years ago

Read 2 more answers

The sum of two numbers is 31. twice the smaller number is 11 more than the larger number. the positive difference between the nu

Artist 52 [7]

(x+y=31)2
2x-y=11
2x+2y=62
- 2x -y=11
3y=51
y=17
x+17=31
x=14
y-x=3

4 0

3 years ago

What’s the area and perimeter

Yuki888 [10]

Answer:

The Perimeter is 4.5in and the Area is 1.125in²

Step-by-step explanation:

Perimeter is gotten by adding up the length/height of every side of the polygon (1.5in + 1.5in + 0.75in + 0.75in), while the Area of a rectangle is gotten by multiplying the height and length. (1.5in × 0.75in)

7 0

3 years ago