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brilliants [131]
2 years ago
10

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?

Mathematics
2 answers:
uysha [10]2 years ago
7 0
This is the concept of conversions;
given that:
1 gal=4 qt=3.7854 l
then:
28 gal will be equivalent to the following number of liters;
28/1*3.7854
=105.9912 l
thus the number of liters of wine that can be held in a wine barrel is 105.99 l
wel2 years ago
4 0

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.

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Marvin has a coupon the discount is the rental of a full-size car by $25 they decide to buy insurance for each day if the cost i
ipn [44]

Answer: Marvin needs approximately 19 days to rent the car.

Step-by-step explanation:

Since we have given that

Amount Marvin get on a discount coupon = $25

She decided to buy insurance for each day.

Let the number of days be x

cost of insurance = $465

According to question, it becomes,

25x=465\\\\x=\frac{465}{25}\\\\x=18.6\\\\x=19\ days

Hence, Marvin needs approximately 19 days to rent the car.

7 0
2 years ago
Read 2 more answers
Using the extended Euclidean algorithm, find the multiplicative inverse of a. 135 mod 61 b. 7465 mod 2464 c. 42828 mod 6407
rodikova [14]

Answer:

(a)1≡47 mod 61

(b)1≡2329 mod 2464

(c)Does not exist

Step-by-step explanation:

The operation a(mod b) has an inverse if the the two integers (a,b)

are co-prime. i.e. their g.c.d is 1.

(a)Given 135 mod 61

We first reduce it to its lowest form.

135 mod 61=13 mod 61

61=13(4)+9 ==> 9=61-13(4)

13=9(1)+4 ==> 4=13-9(1)

9=4(2)+1 ==> 1=9-4(2)

4=1(4)

Next we rewrite 1 as a linear combination of 13 and 61.

1=9-4(2)

=9-(13-9(1))2

=9(3)-13(2)

=(61-13(4))(3)-13(2)

=61(3)-13(12)-13(2)

1=61(3)-13(14)

1=61(3)+13(-14)

1≡-14 mod 61≡(-14+61)mod 61

1≡47 mod 61

(b)7465 mod 2464

Reducing it to its lowest form

7465 mod 2464=73 mod 2464

2464=73(33)+55 ==>55=2464-73(33)

73= 55(1)+18 ==> 18=73-55(1)

55=18(3)+1 ==>1=55-18(3)

18=1(18)

Rewriting 1 as a linear combination of 73 and 2464.

1=55-18(3)

=2464-73(33)-(73-55(1))(3)

=2464-73(33)-73(3)+55(3)

=2464-73(36)+55(3)

=2464-73(36)+(2464-73(33))(3)

=2464-73(36)+2464(3)-73(99)

=2464(4)-73(135)

1=2464(4)+73(-135)

Therefore:

1≡-135 mod 2464

1≡(-135+2464)mod 2464

1≡2329 mod 2464

(c)42828 mod 6407

The two numbers are not co-prime. In fact their g.c.d is 43.

Therefore their inverse does not exist.

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2 years ago
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Answer:

40°

Step-by-step explanation:

e = 20°

d = 20°

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b = 40°

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X is sugar
y is butter
z is total money

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the total money spent if the Baker bought 6 pounds of butter and 20 pounds of sugar would be $23.50.
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