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marishachu [46]
3 years ago
6

There are 30 books on the library shelf, Sam noted that 1/6 of them are non fiction. Dan notes that 3/5 of the books are fiction

. How many books remain?
Mathematics
1 answer:
ehidna [41]3 years ago
3 0

Answer:

7

Step-by-step explanation:

Fiction books:  (1/6) of 30 books = 5 books

Non-fiction books:  (3/5) of (30) books = 18 books

The subtotal here is 5 + 18, or 23.  

23 of the books are either fiction or non fiction.

30 - 23, or 7, of the books remain (are neither fiction nor non-fiction).

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Aliun [14]

-55+13= -42

94i -12i = 82i

answer = -42+82i

4 0
2 years ago
Write the equation described in each case.
Lapatulllka [165]

Answer:

The Answer is: y = -1/4x + 6

Step-by-step explanation:

Given point: (4, 5)

Given equation: y = -1/4x - 11

Slope: m = -1/4, a parallel line will have the same slope.

Start with the point slope form and solve for y:

y - y1 = m(x - x1)

y - 5 = -1/4(x - 4)

y - 5 = -1/4x + 1

y = -1/4x + 1 + 5

y = -1/4x + 6

Proof:

f(x) = -1/4x + 6

f(4) = -1/4(4) + 6

= -1 + 6 = 5, giving (4, 5)

Hope this helps!! Have an Awesome day!!! :-)

4 0
3 years ago
A carpenter has at most $250 to spend on lumber the inequality 8x+12y<250 represents the numbers x of 2 by 8 boards and the n
malfutka [58]

Answer:

The carpenter will not be able to buy 12  '2 by 8 boards' and 14 '4 by 4 boards'.

Step-by-step explanation:

Given:

Amount a carpenter can spend at most = $250

The inequality to represent the amount he can spend on each type of board is given as:

8x+12y

where x represents  '2 by 8 boards' and y represents '4 by 4 boards'.

To determine whether the carpenter can buy 12  '2 by 8 boards' and 14 '4 by 4 boards'.

Solution :

In order to check whether the carpenter can buy 12  '2 by 8 boards' and 14 '4 by 4 boards' ,  we need to plugin the x=12 and y=14 in the given inequality and see if it satisfies the condition or not or in other words (12,14) must be a solution for the inequality.

Plugging in  x=12 and y=14 in the given inequality

8(12)+12(14)

96+168

264

The above statement can never be true and hence the carpenter will not be able to buy 12  '2 by 8 boards' and 14 '4 by 4 boards'.

6 0
3 years ago
What is -0.4 as a fraction or mixed number?<br><br>​
NISA [10]

Answer:

-0.4 = −2/5

Step-by-step explanation:

Rewrite the decimal number as a fraction.

-0.4/1

Multiply to remove 1 decimal places.

-0.4/1 x 10/10 =4/10

Find the GCF.

4 ÷ 2/10 ÷ 2 = 2/5

x = 2/5

-2/5

3 0
3 years ago
A number is greater than 8. The same number is less than 10. The inequalities x greater-than 8 and x less-than 10 represent the
jok3333 [9.3K]

Answer:

There are a few solutions because there are some fractions and decimals between 8 and 10

Step-by-step explanation:

Let the unknown number be 'x'

If the number is greater than 8 and the same number is less than 10, this can be expressed as;

x>8 and x < 10

Note that if x>8, then 8<x

The resulting inequalities are now;

8<x and x<10

Combining both inequalities we have: 8<x<10

Since the inequality didn't tell us that the variable 'x' is equal to 8 and 10, this means that our solution falls between 8 and 10 and the value of integer that falls within this range is 9. Other values that falls within this range are decimals and fractions.

Therefore it can be concluded that there are a few solutions because there are some fractions and decimals between 8 and 10

4 0
3 years ago
Read 2 more answers
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