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4 years ago

A machine takes 5.4 hours to make 9 parts. At that rate how many parts can the machine make in 25.8 hours

Mathematics

2 answers:

Sveta_85 [38]4 years ago

6 0

9 divided by 5.4 = approx. 1.6
1.6 times 25.8 = 41.28
The machine can make approx. 41.28 parts in 25.8 hours

Sliva [168]4 years ago

4 0

$\frac{5.4}{9} = \frac{25.8}{x}$ Cross multiply.

5.4x=9*25.8

5.4x=232.2 Divide both sides by 5.4

x=43

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1. Write the standard form of the line that passes through the given points. (7, -3) and (4, -8)

Sveta_85 [38]

Answer:

1. $-5x+3y+44=0$

2. $2x+y-2=0$

3. $2x+y-4=0$

Step-by-step explanation:

Standard form of a line is $Ax+By+C=0$ .

If a line passing through two points then the equation of line is

$y-y_1=m(x-x_1)$

where, m is slope, i.e., $m=\dfrac{y_2-y_1}{x_2-x_1}$ .

The line passes through the points (7,-3) and (4,-8). So, the equation of line is

$y-(-3)=\dfrac{-8-(-3)}{4-7}(x-7)$

$y+3=\dfrac{-5}{-3}(x-7)$

$y+3=\dfrac{5}{3}(x-7)$

$3(y+3)=5(x-7)$

$3y+9=5x-35$

$-5x+3y+9+35=0$

$-5x+3y+44=0$

Therefore, the required equation is $-5x+3y+44=0$ .

We need to find the equation of the line, in standard form, that has a y-intercept of 2 and is parallel to $2 x + y =-5$ .

Slope of the line : $m=\dfrac{-\text{Coefficient of x}}{\text{Coefficient of y}}=\dfrac{-2}{1}=-2$

Slope of parallel lines are equal. So, the slope of required line is -2 and it passes through the point (0,2).

Equation of line is

$y-2=-2(x-0)$

$y-2=-2x$

$2x+y-2=0$

Therefore, the required equation is $2x+y-2=0$ .

We need to find the equation of the line, in standard form, that has an x-intercept of 2 and is parallel to $2x + y =-5$ .

From part 2, the slope of this line is -2. So, slope of required line is -2 and it passes through the point (2,0).

Equation of line is

$y-0=-2(x-2)$

$y=-2x+4$

$2x+y-4=0$

Therefore, the required equation is $2x+y-4=0$ .

5 0

3 years ago

Henry buys 6 circus tickets for himself and five friends for a total of $174. Each friend pays Henry back for his or her ticket.

Deffense [45]

Answer:

$11

Step-by-step explanation:

According to the statement, you have that 6 tickets for the price of each ticket is equal to $174 and from that, you can determine the price of each ticket:

6*P=174

P= price of each ticket

P= 174/6= 29

Now, as it says that one of Henry's friends gives him two $20 bills, that means that he gives him $40 and you have to subtract the price of the ticket from that:

40-29= 11

The answer is that if one of Henry's friends gives him two $20 bills, Henry has to return $11.

5 0

3 years ago

Help me please !!!!!!!!!!!!!!

tensa zangetsu [6.8K]

Answer:

$\large\boxed{V=\dfrac{49\pi}{3}\ in^3}\approx51.29\ in^3}$

Step-by-step explanation:

The formula of a volume of a cone:

$V=\dfrac{1}{3}\pi r^2H$

r - radius

H - height

We have

r = (7 : 2) in = 3.5 in

H = 4 in

Substitute:

$V=\dfrac{1}{3}\pi(3.5)^2(4)=\dfrac{1}{3}\pi(12.25)(4)=\dfrac{49\pi}{3}\ in^3$

$\pi\approx3.14\\\\V\approx\dfrac{(49)(3.14)}{3}\approx51.29\ in^3$

5 0

3 years ago

Use the pythagorean theorem to find the missing side. Round your answer to the nearest tenth

Monica [59]

Answer:

x=14.02

Step-by-step explanation:

Use b= $\sqrt{c^2-a^2}$ to solve for the missing side in the triangle. You will get a rounded answer of 8.49. Then you multiply that by 2 and subtract that value from 31. Then that will be your answer.

5 0

2 years ago

Can you fill the blank space; 19=8, 6=3, 70=7, 8=5, 4=4, 60=5, 15=7, 16=? 17=?<br><br>

Inga [223]

Answer:

Step-by-step explanation:

key is the number of letters in each word

16= sixteen= 7 letters

17= seventeen= 9 letters

3 0

3 years ago