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3 years ago

Equivalent ratio

Mathematics

1 answer:

Svetradugi [14.3K]3 years ago

6 0

Answer:

D.) 1:6

E.) 8:48

Step-by-step explanation:

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Jasper's lawn is 3/4 of an acre in size. The fertilizer bag states that 5 1/2 bags are required for 1 acre. How many bags does J

Nady [450]

Answer: $4\dfrac{1}{8}\ \text{bags}$

Step-by-step explanation:

Given

Jasper lawn is three-fourth of an acre

1 acre of land requires $5\frac{1}{2}$ bags

convert mixed numeral to fraction

$\Rightarrow 5\dfrac{1}{2}=\dfrac{11}{2}$

$\therefore 1\ \text{acre}\equiv\dfrac{11}{2}\ \text{bags}\\\\\Rightarrow \dfrac{3}{4}\ \text{acre}\equiv \dfrac{11}{2}\times \dfrac{3}{4}=\dfrac{33}{8}\ \text{bags}$

$\Rightarrow \dfrac{33}{8}\ \text{bags}=4\dfrac{1}{8}\ \text{bags}$

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3 years ago

Find the 13th term of the arithmetic sequence whose common difference is d=7 and whose first term is a1=-3

timama [110]

Answer:

Step-by-step explanation:

the formula for an arithmetic sequence:

aₙ = a₁ + (n-1)d

where aₙ = the nth term

a₁ = the 1st term = -3

n = the term number = 13

d = the common difference = 7

Plugging in those values into the formula to find a₁₃:

a₁₃ = -3 + (13-1)7

= -3 + (12)7

= -3 + 84

= 81

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1 year ago

Your job in a company is to fill quart-size bottles of oil from a full 30-gallon oil drum. Then you are to pack 8 quarts in a ca

emmainna [20.7K]

Answer: 15 cases

Step-by-step explanation:

1 gallon = 4 quarts

Hence from 30 gallon oil drum, 30 x 4 = 120 quart-size bottles can be filled.

One case will pack 8 quart size bottles.

Hence number of cases = 120/8 = 15 cases

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3 years ago

If you place a 10-foot ladder against the top of a 6-foot building, how many feet will the bottom of the ladder be from the bott

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Answer: 8 feet

Step-by-step explanation:

Draw a right triangle and label the sides using the given information. (Drawing below) Use pythagorean theorem to find the missing length:

a^2 + b^2 = c^2

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6^2 + x^2 = 10^2

36 + x^2 = 100. subtract 36

x^2 = 64. square root of both sides

x = 8

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3 years ago

What will be the cost price of a television when

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3+3+4+3+-3+4-66+44+3=34x

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3 years ago