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3 years ago

a machine takes 4.2 hours to make 7 parts . At that rate how many parts can the machine make in 28.8 hours.

Mathematics

1 answer:

muminat3 years ago

5 0

17.28 because 4.2 divided by 7 is .6 then .6 times 28.8 is 17.28

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What value of b will cause 16x ^ 2 + bx + 4 = 0 to have one real solution ?

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Answer:

b = 16

Step-by-step explanation:

16*x + b*x + 4 = 0

Solving for x we get:

x₁,₂ = - b ± √ b² - 4*a*c ] / 2*a (1)

If we take a look to the square root

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2 years ago

What is the slope of the line that passes through the points (4, -6) and (4, -2)?

katen-ka-za [31]

Answer:

undefined

Step-by-step explanation:

Since we have two points we can use the slope formula

m = (y2-y1)/(x2-x1)

= (-2--6)/(4-4)

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We cannot divide by 0 so the slope is undefined

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3 years ago

Select all the expressions with a product less than 2/3.

Monica [59]

The expressions with a product less than 2/3 are:

2/3 × 2/3 and 5/6 × 2/3 ⇒ 2nd and 4th

Step-by-step explanation:

Let us revise some fact about the product of two numbers

If x is multiplied by y where y > 1, then the product is greater than x (Ex: if x is 3/4 and y is 2, then xy = (3/4)(2) = 3/2 which is greater than 3/4)
If x is multiplied by y where 0 < y < 1, then the product is less than x (Ex: if x = 2/5 and y = 1/3, then xy = (2/5)(1/3) = 2/15 which is less than 2/5)

We need to select all the expressions with a product less than 2/3

∵ 4 and 1/8 × 2/3

- 4 and 1/8 means mixed number $4\frac{1}{8}$

∵ $4\frac{1}{8}$ > 1

- That means the product of it and 2/3 will be greater than 2/3

as the first fact above

∴ $4\frac{1}{8}$ × $\frac{2}{3}$ > $\frac{2}{3}$

∵ $\frac{2}{3}$ × $\frac{2}{3}$

∵ $\frac{2}{3}$ is between 0 and 1

- That means the product of it and 2/3 will be less than 2/3

as the second fact above

∴ $\frac{2}{3}$ × $\frac{2}{3}$ < $\frac{2}{3}$

∵ $\frac{2}{3}$ × 2

∵ 2 > 1

- That means the product of it and 2/3 will be greater than 2/3

as the first fact above

∴ $\frac{2}{3}$ × 2 > $\frac{2}{3}$

∵ $\frac{5}{6}$ × $\frac{2}{3}$

∵ $\frac{5}{6}$ is between 0 and 1

- That means the product of it and 2/3 will be less than 2/3

as the second fact above

∴ $\frac{5}{6}$ × $\frac{2}{3}$ < $\frac{2}{3}$

The expressions with a product less than 2/3 are:

2/3 × 2/3 and 5/6 × 2/3

Learn more:

You can learn more about the fractions in brainly.com/question/1312102

#LearnwithBrainly

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2 years ago