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3 years ago

Explain how to compare 0.7 and 5\8

Mathematics

2 answers:

alexandr402 [8]3 years ago

5 0

You would first divide 5 by 8 to get 0.625.
Then you compare.
0.7 > 5/8 (0.625)

iogann1982 [59]3 years ago

5 0

To compare 0.7 and 5/8, you will have to turn 5/8 into decimal which will be 0.625 as a decimal. 0.7>5/8

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An injection-molded part is likely to be obtained from any one of 8 cavities on a mold. Round your answers to three decimal plac

konstantin123 [22]

Answer:

(b) The probability is 0.375

Step-by-step explanation:

The probability is calculated as a division between the number of options that satisfy a condition and the total number of options.

For part (b), we have 8 cavities or options for obtain the part but we want to obtain the part from cavity 1, 2 or 3, so we have 3 options. Therefore, the probability is:

$\frac{3}{8} = 0.375$

For part (c), We have 8 cavities or options for obtain the part and we want to obtain the part from any cavity except cavity 3 or 4, so we have 6 options. These options are cavity 1, cavity 2, cavity 5, cavity 6, cavity 7 and cavity 8. Then, the probability is:

$\frac{6}{8} = 0.750$

3 0

3 years ago

A car is traveling at a steady speed. It travels 1 3/4 miles in 2 1/3 minutes. How far will it travel in 47 minutes? In 1 hour?

aleksandrvk [35]

Answer:

Distance in 47 minutes = 0.75 × 47 = 35.25 miles

Distance in 1 hour or (60 minutes) = 0.75 × 60 = 45 miles

Step-by-step explanation:

Given that the car is traveling at a steady speed.

Distance traveled in 2 1/3 or 7/3 or (2.33) minutes = 1 3/4 miles

= 7/4 or 1.75 miles

Thus,

distance in 1 minute: 1.75/2.33 = 0.75 miles per minute

Thus,

Distance in 47 minutes = 0.75 × 47 = 35.25 miles

Distance in 1 hour or (60 minutes) = 0.75 × 60 = 45 miles

7 0

3 years ago

56. How many tangent lines to the curve <img src="https://tex.z-dn.net/?f=y%3Dx%20%2F%28x%2B1%29" id="TexFormula1" title="y=x /(

PIT_PIT [208]

There are 2 tangent lines that pass through the point

$y=\frac{1}{(-1+\sqrt{3)^2} } (x-1)+2$

and

$y=\frac{1}{(-1-\sqrt{3)^2} } (x-1)+2$

Explanation:

Given:

$y=\frac{x}{x+1}$

The point-slope form of the equation of a line tells us that the form of the tangent lines must be:

$y=m(x-1)+2$ $[1]$

For the lines to be tangent to the curve, we must substitute the first derivative of the curve for $m$ :

$\frac{dy}{dx} =\frac{d(x)}{dx}(x+1)-x^\frac{d(x+1)}{dx} \\ \\$

$\frac{dy}{dx} =\frac{x+1-x}{(x+1)^2}$

$\frac{dy}{dx}= \frac{1}{(x+1)^2}$

$m=\frac{1}{(x+1)^2}$ $[2]$

Substitute equation [2] into equation [1]:

$y=\frac{x-1}{(x+1)^2}+2$ $[1.1]$

Because the line must touch the curve, we may substitute $y=\frac{x}{x+1}:$

$\frac{x}{x+1}=\frac{x-1}{(x+1)^2}+2$

Solve for x:

$x(x+1)=(x-1)+2(x+1)^2$

$x^2+x=x-1+2x^2+4x+2$

$x^2+4x+1$

$x\frac{-4±\sqrt{4^2-4(1)(1)} }{2(1)}$

$x=-2$ ± $\sqrt{3}$

$x=-2$ ± $\sqrt{3}$ $and$ $x=-2-\sqrt{3}$

There are 2 tangent lines.

$y=\frac{1}{(-1+\sqrt{3)^2} } (x-1)+2$

and

$y=\frac{1}{(-1-\sqrt{3)^2} } (x-1)+2$

8 0

2 years ago

Pleeeeeeeeaaaseeeeee help meeeeeeee!!!!!!!!!

zaharov [31]

Answer:

Option D.

$A =96\pi\ cm^2$

Step-by-step explanation:

The area of the circular bases is:

$A_c = 2\pi(a) ^ 2$

Where

$a=4\ cm$ is the radius of the circle

Then

$A = 2\pi(4) ^ 2$

$A = 32\pi\ cm^2$

The area of the rectangle is:

$A_r=b * 2\pi r$

Where

$b=8\ cm$

b is the width of the rectangle and $2\pi r$ is the length

Then the area of the rectangle is:

$A_r=8 * 2\pi (4)$

$A_r=64\pi\ cm^2$

Finally the total area is:

$A = A_c + A_r\\\\A = 32\pi\ cm^2 + 64\pi\ cm^2\\\\$

$A =96\pi\ cm^2$

7 0

3 years ago

Read 2 more answers

Harper works at an electronics store as a salesperson. Harper earns a 6% commission on the total dollar amount of all phone sale

agasfer [191]

Answer:

The system of equations are

x + y = 2600 …….equation (1)

and, 6x + 5y = 13700 ……equation (2)

Explanation:

Let x = amount of sales of phone;

y = amount of sales of computer

For phone, 6% of sales is 6% of x, or 6% * x = 0.06x.

Similarly for computer,

5% of y = 0.05y

Given the total sales; x + y = 2600

And commission; 0.06x + 0.05y = 137; or 6x + 5y = 13700

Therefore the system of equations are

x + y = 2600 …….equation (1)

6 x + 5 y = 13700 ……equation (2)

7 0

3 years ago