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4 years ago

Which is more, 1 quart or 7 cups? A. 1 quart B. 7 cups C. neither; they are equal

Mathematics

2 answers:

xz_007 [3.2K]4 years ago

8 0

b) 7 cups

7 cups is more then 1 quart.

Hope this helped!

cricket20 [7]4 years ago

5 0

1 quart is equal to 4 cups so the answer is B.

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How to estimate the square root of a number that is not a perfect square? Give an example and explain how to find it step by ste

tangare [24]

Answer:

See below

Step-by-step explanation:

There is a formula for estimating square root of non-perfect square numbers
√(A²±B) = A ± B/2A
where A² is the nearest perfect square, B is the difference between the original number and the perfect square

Examples

1) √75 = √(8²+11) = 8 + 11/(2*8) = 8 + 11/16 = 8.6875
2) √114 = √(11² - 7) = 11 - 7/(2*11) = 10.6818

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3 years ago

The ratio of berries to oranges is 10:1 if there are 25 oranges, how many berries are there?

Natali [406]

Answer:

250 berries

Step-by-step explanation:

berries : oranges

10 1

We have 25 oranges so we need to multiply each side by 25

berries : oranges

10*25 1*25

250 25

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3 years ago

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Step-by-step explanation:

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3 years ago

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Natalka [10]

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3 years ago

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Which represent geometric sequences? A marathon runner runs half of a race, then runs half the distance left to the finish line,

dimulka [17.4K]

Answer:

Step-by-step explanation:

1). Let the length of a marathon race = x miles

Marathon runner runs this race in the sequence formed as,

$\frac{x}{2},\frac{x}{4},\frac{x}{8}.........$

Common ratio = $\frac{\frac{x}{4}}{\frac{x}{2}}$

= $\frac{x}{4}\times \frac{2}{x}$

= $\frac{1}{2}$

Therefore, it's a geometric sequence.

2). First movie rental cost = $2

Followed by each additional movie rental cost = $1

Therefore, rental of movies will be in the form of a linear equation,

y = 2x + 1

where x = number of movies

And y = Rental of movies

It's not a geometric sequence.

3). 10, 1, 0.1, 0.01.......

Ratio in 2nd and 1st term = $\frac{1}{10}=0.1$

Ratio in 3rd and 2nd term = $\frac{0.1}{1}=0.1$

Therefore, ratio in each term is common.

Sequence formed will be a geometric sequence.

4). $\sum_{k=1}^{7}4(0.2)^{k-1}$

Expression represents a common ratio of 0.2,

Therefore, expression given will represent a geometric sequence.

5). -4, 20, -100, 500, ...........

Ratio of 2nd and 1st term = $\frac{20}{-4}$ = -5

Ratio of 3rd and 2nd term = $\frac{-100}{20}$

= -5

There is a common ratio = -5

Therefore, it's a geometric sequence.

6). -1, 5, 11, 17.........

Ratio of 2nd and 1st term = $\frac{5}{-1}=-5$

Ratio of 3rd and 2nd term = $\frac{11}{5}=2.2$

-5 ≠ 2.2

Therefore, sequence is not a geometric sequence.

7). -500, 100, -20, 4........

Ratio of 2nd and 1st term = $\frac{100}{-500}=-\frac{1}{5}$

Ratio of 3rd and 2nd term = $\frac{-20}{100}=-\frac{1}{5}$

7 0

3 years ago