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3 years ago

A machine produces 264 bolts in 42 minutes. At the same rate, how many minutes would it take to produce 308 bolts?

Mathematics

1 answer:

schepotkina [342]3 years ago

5 0

Answer: 49.6 minutes

It takes 49.6 minutes to produce 308 bolts.

Step-by-step explanation:

6.2 bolts are produced per minute within a total of 42min

264 divided by 42 = 6.2

To find out how many bolts can be made within a certain amount of time,

308 divided by 6.2 = 49.6

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The cost in dollars y of producing x computer desks is given by y=80x+6000

Gnoma [55]

Answer:

(100,14000), (200, 22000), (300, 30000)

Step-by-step explanation:

y = 80x + 6000 ........ (1) is the equation which gives the cost (y) in dollars for making x number of computer desks.

Let, f(x) = 80x + 6000

So, f(100) = 80 × 100 + 6000 = 14000 {From equation (1)}

So, to produce 100 desks it costs $14000.

Again, f(200) = 80 × 200 + 6000 = 22000 {From equation (1)}

So, to produce 200 desks it costs $22000.

Again, f(300) = 80 × 300 + 6000 = 30000 {From equation (1)}

So, to produce 300 desks it costs $30000.

Then table will be (100,14000), (200, 22000), (300, 30000) (Answer)

5 0

3 years ago

Write an equation of the line that passes through (5,9) and is perpendicular to the line y=-1/3x+1

777dan777 [17]

Perpendicular = opposite sign and reciprocal slope
Slope would be 3
Y = 3x + b, plug in point
9 = 3(5) + b, b = -6
Solution: y = 3x - 6

7 0

3 years ago

A baker uses chocolate with 75% cocoa for his famous cake. But his supplier delivered 100 lb of chocolate with 70% cocoa, so the

Nonamiya [84]

Answer:

213 1/3

Step-by-step explanation:

Because I know where you got this question from.

4 0

3 years ago

Read 2 more answers

Which algebraic expression represents "the difference of 54 and a number"?

atroni [7]

$\huge{\boxed{54-x}}$

The difference is the result of a subtraction problem.

We are given two values that are being subtracted: 54 and a number, represented by $x$

So, represent this mathematically with $\boxed{54-x}$ .

5 0

3 years ago

Read 2 more answers

Please help thanks !

Kitty [74]

Answer:

option D

Step-by-step explanation:

$x^{2} + y^{2} = 16\\\\x^{2} = 16- y^{2}$

equation 2:

$\frac{x^{2}}{4} - \frac{y^{2}}{25} = 1$

so we have:

$\frac{16- y^{2} }{4}-\frac{y^{2}}{25}= 1$

7 0

3 years ago