What is the solution to 6.6-1/3 with out using a calculator

Answers

Answer 1
Answer:

The solution to 6.6 - 1/3 without using a calculator is 94/15.

Given is a subtraction expression 6.6 - 1/3, we need to solve it,

To solve 6.6 - 1/3, we can convert the decimal number 6.6 into an improper fraction.

Convert the decimal 6.6 to an improper fraction.

We can rewrite 6.6 as 6 + 0.6. Since there are 6 whole units and 6 tenths, we can express it as:

6.6 = 6 + 6/10

6.6 = 6 + 3/5

Now, subtract 1/3 from 6 + 3/5.

To subtract fractions, we need to find a common denominator. In this case, the common denominator is 15, which is the least common multiple (LCM) of 3 and 5.

6 + 3/5 - 1/3 can be rewritten with the common denominator of 15:

(6 x 15)/15 + (3 x 3)/15 - (1 x 5)/15

Simplifying the numerator, we get:

90/15 + 9/15 - 5/15

Now, combine the numerators:

(90 + 9 - 5)/15

Simplifying further:

94/15

Therefore, the solution to 6.6 - 1/3 is 94/15.

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Answer 2
Answer: it's either 6.3 or 3 repeating.. Decimals blended with fractions is not my strongpoint.. 

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What value of k make the equation |2k+2|=16 true?

Answers

k has to equal 7 to make that true
2x+2=16
2x=14
x=7

Therefore the value of k is 7

Martha Owens is paid $14.50per hour for a regular forty-hour work
week. Her overtime pay is one-and-one-
half times her regular hourly rate. This
past week Martha earned S754.00 in total
рау. .
How many hours of overtime did
Martha work this pas week?

Answers

Martha worked approximately 8 hours of overtime during the past week.

Martha's regular hourly rate is $14.50, and she works a regular forty-hour work week. Her overtime pay is one-and-one-half times her regular hourly rate.

Let's break down Martha's earnings for the week:

Regular Earnings (for 40 hours): Regular Hourly Rate × Hours Worked

Regular Earnings = $14.50 × 40 = $580

Total Earnings (including overtime): $754

Overtime Earnings = Total Earnings - Regular Earnings

Overtime Earnings = $754 - $580 = $174

Since Martha's overtime pay is one-and-one-half times her regular hourly rate, we can set up an equation:

Overtime Earnings = Overtime Hourly Rate × Hours of Overtime Worked

Solving for Hours of Overtime Worked:

Hours of Overtime Worked = Overtime Earnings / Overtime Hourly Rate

Overtime Hourly Rate = 1.5 × Regular Hourly Rate

Overtime Hourly Rate = 1.5 × $14.50 = $21.75

Now, plug in the values:

Hours of Overtime Worked = $174 / $21.75 ≈ 8

Martha worked approximately 8 hours of overtime during the past week.

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Answer:

Step-by-step explanation:

14.50*40=580 for reg pay

754-580=174 over time

14.50*1.5=21.75 an hour for ot

174/21.75=8 hours of overtime

Ray UW is the angle bisector of VUT. If mVUW = (4x + 6)° and mWUT = (6x – 10)°, what is the measure of WUT?
32°
38°
48°
76°

Answers

In the question "Ray UW is the angle bisector of VUT. If mVUW = (4x + 6)° and mWUT = (6x – 10)°, what is the measure of WUT?" It was given that UW is the angle bisector of VUT, which means that mVUW = mWUT. i.e. 4x + 6 = 6x - 10 6x - 4x = 6 + 10 2x = 16 x = 8 Therefore, the measure of WUT = 6x - 10 = 6(8) - 10 = 48 - 10 = 38

Answer:

B

Step-by-step explanation:

38

1/4x+3/8 factored by the GCF

Answers

Given:

(1)/(4)x+(3)/(8)

To find:

The factor form of given expression by the GCF.

Solution:

First we need to find the GCF of (1)/(4) and (3)/(8).

So, make denominators same.

(1)/(4)=(1* 2)/(4* 2)=(2)/(8)

Now,

GCF\left((2)/(8),(3)/(8)\right)=(1)/(8)

GCF\left((1)/(4),(3)/(8)\right)=(1)/(8)

We have,

(1)/(4)x+(3)/(8)

It can be written as

=(2)/(8)x+(3)/(8)

Taking out the GCF (1)/(8), we get

=(1)/(8)(2x+3)

Therefore, the required factor form is (1)/(8)(2x+3).

Larry has taken out a loan for college. He started paying off the loan with a first payment of $150. Each month he pays, he wants to pay back 1.3 times as the amount he paid the month before. Explain to Larry how to represent his first 15 payments in sigma notation. Then explain how to find the sum of his first 15 payments, using complete sentences. Explain why this series is convergent or divergent.

Answers

  14
   Σ  [(1.3^n) * (150)]
n = 0

Using the sigma notation to find the sum of his first 15 payments, each of the possible values of n (from 0 to 14) are substituted into the equation. After which, each of the results are then added to each other. Also, the problem states that only the first 15 payments are to be included in the notation. This shows that the series is limited and is finite. Therefore, it is a convergent series.

Which word best describes the degree of overlap between the two data sets?A.
high

B.
moderate

C.
low

D.
none

Answers

The right answer for the question that is being asked and shown above is that: "C. Low." The word that best describes the degree of overlap between the two data sets is low. The overlap is not that big enough or nothing at all. It is just low.