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swat32
2 years ago
14

Instructions:Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Si

x times Jason's collection of books and one-third of Nathan's collection add up to 134 books. One-third of Jason's collection and Nathan's entire collection add up to 31 books.
Mathematics
1 answer:
ollegr [7]2 years ago
4 0
6j+1/3n=134 
Hope this helps!!

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How many liters of wine can be held in a wine barrel whose capacity is 28.0 gal? 1 gal = 4 qt = 3.7854 l?
wel

Answer:

105.9912 liters of wine can be held in a wine barrel whose capacity is 28.0 gal.

Step-by-step explanation:

Proportion states that the two ratios or fractions are equal.

Let x be the liters of wine can be held in a wine barrel whose capacity is 28.0 gal.

Given that:

1 gal = 3.7854 l

then

by definition of proportions;

\frac{1}{3.7854} =\frac{28}{x}

By cross multiply we get;

x = 28 \times 3.7854 = 105.9912 liters

Therefore, 105.9912 liters of wine can be held in a wine barrel whose capacity is 28.0 gal.

4 0
2 years ago
Read 2 more answers
Mr. Rico's small business is starting to make a profit. His costs last week were -$352. His profit last week was $22. How many t
MrRa [10]

Answer:

The Answer is -16

Step-by-step explanation:

The equation to this would be -352 / 22, which would give you 16, hope this helped!

5 0
2 years ago
A merchant buys an old carpet for $25.00. He spends $15.00 to have it restored to good condition and then sells the rug for $50.
alekssr [168]
He get 125% more than he spent for it. So he got 25% more.
6 0
1 year ago
According to the Rational Root Theorem, which statement about f(x) = 66x4 – 2x3 + 11x2 + 35 is true? Any rational root of f(x) i
Kamila [148]

Answer:

The correct option is Any rational root of f(x) is a factor of 35 divided by a factor of 66....

Step-by-step explanation:

According to the rational root theorem:

if a_{0} and a_{n} are non zero then each rational solution x will be:

x= +/- Factors of a_{0} / Factors of  a_{n}

In the given polynomial we have:

66x4 – 2x3 + 11x2 + 35

a_{0} = 35

a_{n} = 66

Therefore,

x= +/- Factors of 35/ Factors of 66.

Thus the correct option is Any rational root of f(x) is a factor of 35 divided by a factor of 66....

3 0
2 years ago
Read 2 more answers
​(c) if the corresponding terms of two arithmetic sequences are​ added, is the resulting sequence​ arithmetic?
Harman [31]

To determine whether the corresponding terms of 2 arithmetic sequence's added will give new arithmetic sequence or not, Let' take 2 Arithmetic sequences.

In one first term is a1 and common difference is d1, in the other first term is a2 and common difference is d2.

Now nth term for first sequence = a1+(n-1) d1

  nth term for second sequence = a2+(n-1) d2

Now add the 2 terms: a1+(n-1)d1 +a2 +(n-1)d2

                                   = a1+a2 + (n-1)(d1+d2)

This is again new arithmetic sequence with first term a1+a2 and common difference d1+d2.

Hence if we add corresponding terms of 2 arithmetic sequence, we will again get an arithmetic sequence.

5 0
1 year ago
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