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2 years ago

Find the product: (30 gallons 3 quarts 1 pint) × 5

Mathematics

2 answers:

Lostsunrise [7]2 years ago

8 0

Answer:

The product of (30 gallons 3 quarts 1 pint) × 5 = 151.875 gallons.

Step-by-step explanation:

Given : (30 gallons 3 quarts 1 pint) × 5

To find : The product of given statement

Solution:

Step 1 : We multiply each term by 5

$30 \text{ gallons }=30 \times 5=150 \text{ gallons}$

$3 \text{ quarts }=3\times 5=15 \text{ quarts}$

$1 \text{ pints }=1\times 5=5 \text{ pints}$

Step 2: Now we convert into similar unit

we know, 1 gallon=4 quarts

1 gallon= 8 pints

1 quart= 2 pints

1) we convert quarts in to gallon

$1 \text{ quarts }=\frac{1}{4} \text{ gallons}$

$15 \text{ quarts }=\frac{15}{4} \text{ gallons}$

2) we convert pints into quarts

$1 \text{ pint }=\frac{1}{2} \text{ quarts}$

$5\text{ quarts }=\frac{5}{2} \text{ quarts }$

3) Again convert quarts into gallon

$1 \text{ quarts }=\frac{1}{4} \text{ gallons}$

$\frac{5}{2}\text{ quarts }=\frac{\frac{5}{2}}{4} \text{ gallons}$

$\frac{5}{2}\text{ quarts }=\frac{5}{8} \text{ gallons}$

Total gallons in (30 gallons 3 quarts 1 pint)

$=150+\frac{5}{4}+\frac{5}{8}$ gallons

$=\frac{1200+10+5}{8}$ gallons

$=\frac{1215}{8}$ gallons

$=151.875$ gallons

Therefore, The product of (30 gallons 3 quarts 1 pint) × 5 = 151.875 gallons.

SpyIntel [72]2 years ago

4 0

30 gallons * 5 = 150 gallons

3 quarts * 5 = 15 quarts

1 pint * 5 = 5 pints

Four quarts in a gallon: 15/4 = 3 gallons, 2 quarts

2 pints in a quart: 5/2 = 2 quarts, 1 pint

2 quarts + 2 quarts = 1 gallon

150 + 3 + 1 gallons + 1 pint = 153 gallons, 1 pint.

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Step-by-step explanation:

Given intervals are,

(i) [a,a] (ii) [a,a) (iii) (a,a] (iv) (a,a) (v) (a,b) where a>b (vi) [a,b] where a>b.

To show all its elements,

(i) [a,a]

Imply the set including aa from left as well as right side.

Its elements are of the form.

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(ii) [a,a)

This means given interval containing a by left and exclude a by right.

Its elements are of the form.

$[ 1, 1),[-1,-1),[2,2),[-2,-2),[3,3),[-3,-3),........$

Since there is a singleton element a of real numbers withis the set, this set is empty.

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(iii) (a,a]

It means the interval not taking a by left and include a by right.

Its elements are of the form.

$( 1, 1],(-1,-1],(2,2],(-2,-2],(3,3],(-3,-3],........$

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