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miv72 [106K]
3 years ago
14

Write an expression to represent: Four less than the quotient of a number x and 5.

Mathematics
1 answer:
Studentka2010 [4]3 years ago
6 0

Answer:

(x/5) - 4

Step-by-step explanation:

You want four less than the quotient of x and 5 so you make x/5 a single term. Then subtract 4

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g Two different factories named A and B both produce an automobile part. If a part came from A, the probability that the part is
Fed [463]

Answer:

0.0444 = 4.44% probability that a part chosen at random (from the sample) was defective.

Step-by-step explanation:

Probability of a defective part:

0.04 of \frac{100}{180}, that is, coming from A.

0.05 of \frac{80}{180}, that is, coming from B. So

p = 0.04\frac{100}{180} + 0.05\frac{80}{180} = \frac{0.04*100 + 0.05*80}{180} = 0.0444

0.0444 = 4.44% probability that a part chosen at random (from the sample) was defective.

3 0
3 years ago
Find the product of following:(i) (x+3) (x+2) (ii) (2x-1) (2x-7)​
Inga [223]

Part (i)

<h3>Answer:  x^2 + 5x + 6</h3>

-----------------

Work Shown:

(x+3)(x+2)

y(x+2) ..... Let y = x+3

y*x + y*2 ... distribute

x(y) + 2(y)

x(x+3) + 2(x+3) .... plug in y = x+3

x*x + x*3 + 2*x + 2*3 ... distribute

x^2 + 3x + 2x + 6

x^2 + 5x + 6

=====================================================

Part (ii)

<h3>Answer:  4x^2 - 16x + 7</h3>

-----------------

Work Shown:

We could follow the same set of steps as shown back in part (i), but I'll show a different approach. Feel free to use the method I used back in part (i) if the visual approach doesn't make sense.

The diagram below is a visual way to organize all the terms. Many textbooks refer to it as "the box method" which helps multiply out any two algebraic expressions.

Each inner cell is found by multiplying the corresponding outer terms. For instance, in the upper left corner we have 2x*2x = 4x^2. The other cells are filled out the same way.

The terms in those four inner cells (gray boxes) are:

  • 4x^2
  • -14x
  • -2x
  • 7

The like terms here are -14x and -2x which combine to -16x, since -14+(-2) = -16.

We end up with the answer 4x^2-16x+7

8 0
3 years ago
A pair of shoes costs $109 at Sneaker City. At the labor Day sale, they are 20% off. What is the
Alik [6]

Answer: $108.8

Step-by-step explanation: you do 109.00-20% and you get 108.8

8 0
2 years ago
What is the value of X=
frozen [14]

Answer:

In x + 2 = 7, x is a variable,

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Finding the volume of the solid.Use unit cubes to help.
9966 [12]

Answer:

the answer is 125. if you cut them slice to slice you'll get 25 because of there five slices of 25 all you got to do is 25 x 5 and you'll get 125.

Hope this help

Have a nice day :)

4 0
2 years ago
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