2 feet to 2 yards ratio

Mathematics

1 answer:

vredina [299]1 year ago

8 0

Answer:

$\frac{1}{3}$

Step-by-step explanation:

Three feet make a yard, so 2 yards is 6 feet

$\frac{2}{6}$ If we divide the top (numerator) and the bottom (denominator) by 2 we get

$\frac{2}{6}$ ÷ $\frac{2}{2}$ = $\frac{1}{3}$

You might be interested in

Use sigma notation to represent the sum of the first seven terms of the following sequence -4,-6,-8.....

lina2011 [118]

Answer:Answer:

$\sum\left {{7} \atop {1}} \right -n(3+n)$

Step-by-step explanation:

Given the sequence -4,-6,-8..., in order to get sigma notation to represent the sum of the first seven terms of the sequence, we need to first calculate the sum of the first seven terms of the sequence as shown;

The sum of an arithmetic series is expressed as $S_n = \frac{n}{2}[2a+(n-1)d]$

n is the number of terms

a is the first term of the sequence

d is the common difference

Given parameters

n = 7, a = -4 and d = -6-(-4) = -8-(-6) = -2

Required

Sum of the first seven terms of the sequence

$S_7 = \frac{7}{2}[2(-4)+(7-1)(-2)]\\\\S_7 = \frac{7}{2}[-8+(6)(-2)]\\\\S_7 = \frac{7}{2}[-8-12]\\\\\\S_7 = \frac{7}{2} * -20\\\\S_7 = -70$

The sum of the nth term of the sequence will be;

$S_n = \frac{n}{2}[2(-4)+(n-1)(-2)]\\\\S_n = \frac{n}{2}[-8+(-2n+2)]\\\\S_n = \frac{n}{2}[-6-2n]\\\\S_n = \frac{-6n}{2} - \frac{2n^2}{2}\\S_n = -3n-n^2\\\\S_n = -n(3+n)$

The sigma notation will be expressed as $\sum\left {{7} \atop {1}} \right -n(3+n)$ . <em>The limit ranges from 1 to 7 since we are to find the sum of the first seven terms of the series.</em>

3 0

3 years ago

Which set of ordered pairs represents a function?

34kurt

The answer is b because no x-value can repeat.

4 0

3 years ago

Read 2 more answers

Diana bought a package of water balloons for $0.30. Her friend bought 5 times as many packages. How much did her friend spend?

NISA [10]

$1.50 because you have to multiply $0.30 times the 5 and you get $1.50.

4 0