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2 years ago

Which of the following rational numbers is equivalent to a repeating decimal? a. 24/60 b. 30/64 c. 29/50 d. 35/60

Mathematics

1 answer:

andrey2020 [161]2 years ago

6 0

Answer:

answer is D. 35/60

Step-by-step explanation:

35 divided by 60 is = 0.583333

which is a repeating decimal

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Find the GCF ( Greatest Common Factor) 18;45 24;16

nika2105 [10]

18;45 = 9

24;16 = 8

I hope this helps

8 0

4 years ago

Your computer server recently crashed and you need to make changes to a large manual. The manual contains approximately 16,000 w

tensa zangetsu [6.8K]

Answer:

The manual cost that will take to recreate by the firm is $ 90.51

Step-by-step explanation:

Given:

Number of words the manual contains= 16000

Number of words typed by a clerk in one hour and 20 minutes = 4160

To Find:

The total cost for recreating the manual = ?

Solution:

Step 1: Finding the Number of hours is need to type 4160 words :

= $1\frac{20}{60}$ hours

$\\\\=1\frac{1}{3}$ hours

$\\\\=\frac{4}{3}$ hours

So it takes $\frac{4}{3}$ hours to type 4160 word

Step 2 : Finding the Number of hours is needed to type 1 word

= $\frac{4160}{\frac{4}{3}}$

= $4160 \times \frac{3}{4}$

= 3120 words per hour

Step 3 : Finding the Number of hours is needed to type 16000 words

= $\frac{\text{ total number of words}} {\text{ number of words written per hour}}$

Substituting the values

= $\frac{16000}{3120}$

= 5.1282 hours

Step 4 : Finding the cost for recreating the manual.

= number of hours x cost per hour

= 5.1282 x $17.65

= 90.51

5 0

3 years ago

Solve the following system of equations for all three variables.

nignag [31]

  5x - 2y + 1z = 8 ⇒   5x - 2y + 1z = 8
-9x + 2y + 2z = 5 ⇒ -9x + 2y + 2z = 5
-9x - 2y - 5z = 4 -4x + 3z = 13

5x - 2y + 1z = 8
-9x + 2y + 2z = 5 ⇒ -9x + 2y + 2z = 5
-9z - 2y - 5z = 4 ⇒ -9x - 2y - 5z = 4
-18x - 3z = 9

-4x + 3z = 13
  -18x - 3z =   9
-22x = 22
  -22 -22
  x = -1
  -18x - 3z = 9
-18(-1) - 3z = 9
18 - 3z = 9
- 18 - 18
-3z = -9
-3 -3
z = 3

5x - 2y + z = 8
5(-1) - 2y + 3 = 8
-5 - 2y + 3 = 8
-2y - 5 + 3 = 8
-2y - 2 = 8
  + 2 + 2
  -2y = 10
-2   -2
y = -5
  (x, y, z) = (-1, -5, 3)

6 0

3 years ago

Explain how the identity property in the problem, 2/3 (1) = 1 (2/3) = 2/3, is the same with any rational number. ANSWER FAST PLE

Morgarella [4.7K]

First of all, the identity property of multiplication (which is what this is I'm assuming) is that the number 1 multiplied by any other number is that number itself. (An example would be 2 multiplied by 1, which would be two) So in this problem, this rule applies too, since 2/3 multiplied by 1 would be 2/3!

Hope this helped :)

7 0

3 years ago

A sample of n = 9 college students is used to evaluate the effectiveness of a new Study Skills Workshop. Each student’s grade

forsale [732]

Answer:

B) μD = 0.60 ± 0.10(1.397)

Step-by-step explanation:

The confidence interval is given by:

$MD±t_{\alpha/2, n-1} \frac{s}{\sqrt{n} }$

Where

MD=60

n=9

df=n-1=8

$t_{\alpha/2, n-1}=1.397$

$s=\sqrt{0.09} =0.3$

Then the confidence interval is

μD=0.60±1.397*(0.3/√9)

μD=0.60±0.10*(1.397)

6 0

3 years ago