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BartSMP [9]
3 years ago
14

Simplify the expression. 0.24 – 1.6

Mathematics
2 answers:
lukranit [14]3 years ago
4 0

Answer:

Step-by-step explanation:

IgorLugansk [536]3 years ago
3 0

Answer:

-1.36

Step-by-step explanation:

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A carpenter wants to cut a board 16 1/2 feet in length into 1 7/8 feet pieces. How many pieces can be cut from the board? The ca
yawa3891 [41]
<h3>Answer:</h3>
  • 8 pieces
  • 3/8 foot
<h3>Explanation:</h3>

a) Let n represent the number of 1 7/8 ft pieces. Then we have ...

... 16 1/2 ft = n × (1 7/8 ft)

We can find n by dividing this equation by 1 7/8.

... (16 1/2)/(1 7/8) = n = (132/8)/(15/8) = 132/15

... n = 8 12/15 = 8 4/5

The integer number of pieces that can be cut is 8 pieces.

b) The length of the left-over piece is 4/5 of the full length of a piece, so is ...

... (4/5) × (15/8 ft) = 12/8 ft

We want to divide this into 4 equal lengths, so each of those lengths will be 1/4 of the length of the left-over:

... (1/4) × (12/8 ft) = 3/8 ft

_____

<em>Comment on arithmetic with fractions</em>

This problem is easier if you <em>convert the mixed numbers to improper fractions</em>. This is done by expressing the integer as a number of fractional parts, then adding the fraction part of the mixed number:

... a + b/c = (a×c/c) + b/c = (ac +b)/c

Division with fractions is taught a couple of different ways. One way you can do it is to "invert and multiply". That is, you multiply the numerator fraction by the reciprocal of the denominator fraction:

... (a/b)/(c/d) = (a/b)×(d/c)

Another way you can do the division is to express each of the numerator and denominator fractions over the same denominator. Then the quotient is the ratio of numerators.

... (a/c)/(b/c) = a/b

This is the method we used here. Effectively, we converted 16 1/2 to 16 4/8 then to (16×8 +4)/8 = 132/8. Then the numerator and denominator fractions both had denominators of 8, so (132/8)/(15/8) = 132/15. This fraction can be reduced by removing a factor of 3 from numerator and denominator to give ...

... 132/15 = 44/5 = 8 4/5

7 0
2 years ago
Show me how to find the answer to 6x1/3
mamaluj [8]

Answer:

2

Step-by-step explanation:

Simplify. Remember to follow PEMDAS and the left-> right rule.

In this case, multiply the whole number (6/1) with the numerator (1)

6 x 1 = 6

Next, simplify by dividing 6 with 3:

6/3 = 2

2 is your answer.

~

7 0
3 years ago
Read 2 more answers
Solve –15 = 4m – 7.<br><br><br> –32<br><br> 2<br><br> –12<br><br> –2
Shkiper50 [21]

Answer:

-2 =m

Step-by-step explanation:

–15 = 4m – 7

Add 7 to each side

–15+7 = 4m – 7+7

-8 = 4m

Divide each side by 4

-8/4 = 4m/4

-2 =m

4 0
3 years ago
a card is chosen at random from a deck of 52 cards. it is replaced and a second card is chosen. what is the probability of choos
serious [3.7K]
P(2 aces) = (1/13)^2 
P(2 kings) = (1/13)^2 

P(king and ace) = 8C2/52C2 - 2(1/13)^2 = 0.0152 
7 0
3 years ago
Read 2 more answers
What type of number is 6√14 + √14?
sveta [45]

Answer:

Rational

Step-by-step explanation:

Quick Easy Eliminations:

We can get rid of positive integer as the sum of these roots is a decimal which is not a whole number. Hence, we can eliminate 2 options, C. Positive integer and D. Whole Number.

First solve:

6√14 + √14

= 7√14 (Decimal form: 26.191602)

What we need is the decimal form in order to determine if it's rational or irrational.

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

Rational

6 0
2 years ago
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