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3 years ago

How do you determine whether to use 22/7 or 3.14 for π ?

Mathematics

1 answer:

Korolek [52]3 years ago

6 0

Answer:

Use the value the problem statement tells you. Otherwise, use a better approximation.

Step-by-step explanation:

π ≈ 3.141592653589793238... (a non-repeating infinite decimal)

3.14 = 3.14

22/7 = 3.142857142857_142857

355/113 = 3.14159292035... (a very long repeating decimal)

You can see that the third decimal place is wrong in both of your approximations. The last approximation shown has 7 good decimal digits. A good scientific or graphing calculator will have an internal value for pi that is good to 10 or 12 digits or more (preferably, at least 32 digits).

You should use a value for pi that has at least one more digit of accuracy than the number of significant digits in your answer.

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Giovanni has been hired by a local clothing accessory store to make decorative belts that have green and blue beads carefully gl

Len [333]

The system of inequalities that model the number and types green (g)

and blue (b) beads in a belt are as follows;

70 < g + b < 74

10 < g < 14

56

$\underline{\dfrac{1}{4} \leq \dfrac{b}{g} \leq \dfrac{1}{6}}$

<h3>How can s system of inequalities be written?</h3>

The waist size for the belt = ±28 inches

The x represent the number of beads on each belt, we have;

Number of beads per belt 70 < x < 74

Minimum ratio of blue to green beads = 1 : 4

Maximum ratio of blue to green beads = 1 : 6

Therefore;

Minimum number of blue beads = $\frac{70}{1 + 6}$ = 10

Maximum number of blue beads = $\frac{74}{1 + 4}$ ≈ 14

The number of blue beads, b, in a belt is therefore;

10 < g < 14

Minimum number of green beads = $\frac{4}{1 + 4}$ × 70 = 56

Maximum number of green beads = $\frac{6}{1 + 6}$ × 74 ≈ 63

The number of green beads, g, in a belt is therefore;

56

The sum of the beads on each belt = g + b = x

Therefore;

70 < g + b < 74

From the given maximum and minimum ratios, we have;

$\underline{\dfrac{1}{4} \leq \dfrac{b}{g} \leq \dfrac{1}{6}}$

Learn more about inequalities here:

brainly.com/question/371134

6 0

2 years ago

If y = 4x – 1, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?

Helga [31]

Hello!

To do this you will pick an x value, multiply it by the slope and add the y- intercept. Let's try 0.

y=4(0)-1
y=-1

So here, an ordered pair could be (0,-1)

We can try this again for different x-values.

y=4(1)-1
y=3

This gives us the ordered pair (1,3)

y=4(100)-1
y=399

This would give us the ordered pair (100,399)

I hope this helps!

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3 years ago

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Irina-Kira [14]

Answer:

630

Step-by-step explanation:

you need to do a 2 step equation, first finding the amount of students that get accepted, and then use the info you just got solving how many people actually enroll.

formula:

part part %

---------- = -----------

total total %

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mario62 [17]

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