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Illusion [34]
3 years ago
10

Solve for c: 6/15=2/c

Mathematics
1 answer:
Solnce55 [7]3 years ago
7 0

6/15 = 2/c

c = 2/6 * 15

c = 5

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What is the mean number of days in past week that the 25 respondents exercised?
Natali [406]
I believe that the mean is 6
6 0
2 years ago
Pls show your work if possible ​
jenyasd209 [6]

Answer:

32 in²

Step-by-step explanation:

A= ((a+b)/2)*h

A= ((6+10)/2)*4

A=32

6 0
3 years ago
Inga divided two identical rectangles into equal parts. She colored one part of each rectangle.
likoan [24]

Answer:

The areas are equal.

Step-by-step explanation:

Let the first rectangle be R and

the second rectangle be R'.

Sine R and R' are identical, their lengths are equal and their breadths are equal.

So, if Inga divided each into equal parts, then each part of both rectangles are equal.

Hence, the colored parts of both rectangles are equal.

8 0
3 years ago
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
3 years ago
What's (6+5i)(6-5i) using the foil method
I am Lyosha [343]

Answer:

Step-by-step explanation:

Remember:\\(a+b)(a-b)=a^2-b^2\\\\(6+5i)(6-5i)=6^2-(5i)^2=36-(-1)*25=36+25=61\\

8 0
3 years ago
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