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3 years ago

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Alyssa cut a piece of string that was 17 feet long Darnell cut a piece of string that was 5 yards long Alyssa wanted to cut her

string so that it was the same length as Darnells how many feet did she need to cut off

1 answer:

ValentinkaMS [17]3 years ago

4 0

There is 3 feet in one yard 3 times 5 is 15 and you have 17 15-17=2

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Consider the sequence of numbers: 3/8, 3/4, 1 /18, 1 1/2, 1 7/8

vredina [299]

Question:

Consider the sequence of numbers: $\frac{3}{8}, \frac{3}{4}, 1\frac{1}{8}, 1\frac{1}{2}, 1\frac{7}{8}$

Which statement is a description of the sequence?

(A) The sequence is recursive, where each term is 1/4 greater than its preceding term.

(B) The sequence is recursive and can be represented by the function

f(n + 1) = f(n) + 3/8 .

(C) The sequence is arithmetic, where each pair of terms has a constant difference of 3/4 .

(D) The sequence is arithmetic and can be represented by the function

f(n + 1) = f(n)3/8.

Answer:

Option B:

The sequence is recursive and can be represented by the function

$f(n + 1) = f(n) + \frac{3}{8} .$

Explanation:

A sequence of numbers are

$\frac{3}{8}, \frac{3}{4}, 1\frac{1}{8}, 1\frac{1}{2}, 1\frac{7}{8}$

Let us first change mixed fraction into improper fraction.

$\frac{3}{8}, \frac{3}{4}, \frac{9}{8}, \frac{3}{2}, \frac{15}{8}$

To find the pattern of the sequence.

To find the common difference between the sequence of numbers.

$\frac{3}{4}-\frac{3}{8}=\frac{6}{8}-\frac{3}{8}= \frac{3}{8}$

$\frac{9}{8}-\frac{3}{4}=\frac{9}{8}-\frac{6}{8}= \frac{3}{8}$

$\frac{3}{2}-\frac{9}{8}=\frac{12}{8}-\frac{9}{8}= \frac{3}{8}$

$\frac{15}{8}-\frac{3}{2}=\frac{15}{8}-\frac{12}{8}= \frac{3}{8}$

Therefore, the common difference of the sequence is 3.

That means each term is obtained by adding $\frac{3}{8}$ to the previous term.

Hence, the sequence is recursive and can be represented by the function $f(n + 1) = f(n) + \frac{3}{8} .$

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3 years ago

7. The table shows the location and magnitude of some notable earthquakes. How many times more energy was released by the earthq

kolezko [41]

Answer:

I had this on a quiz recently, the answer is 5.01. Hope this helps!

Step-by-step explanation:

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1/2 is the sample space

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Which of the following is the correct formula for the volume of a cube whose sides are s inches long?

Paladinen [302]

The formula for the volume of a cube whose sides are s inches longs is volume = s^3 cu. in which is A on the choice you provided. We all know that 3 is for cube and the s^3 in the formula saying that s^3 is s cube, we will just include the inches and the cube o the formula which will be the choice A.

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3 years ago

A recipe for nut bread calls for 1/4 cup of walnuts and 2/6 cup

Hitman42 [59]

Answer:

$\sf Total \ amount \ of \ walnuts \ and \ pecans \ needed = \dfrac{7}{12}$

Step-by-step explanation:

<h3>Fraction addition:</h3>

$\sf Amount \ of \ walnut \ needed = \dfrac{1}{4}$

$\sf Amount \ of \ pecans \ needed =\dfrac{2}{6} =\dfrac{1}{3}$

To find the total amount of walnut and pecans, we have to add the fractions.

Find the LCM of the denominators.
Find equivalent fractions using the LCM
Now, add the fractions

LCM of 4 & 3 = 12

Equivalent fractions:

$\sf \dfrac{1}{4}=\dfrac{1*3}{4*3}=\dfrac{3}{12}\\\\\dfrac{1}{3}=\dfrac{1*4}{3*4}=\dfrac{4}{12}$

Now, add

$\sf \dfrac{3}{12}+\dfrac{4}{12}=\dfrac{3+4}{12}$

$\sf = \dfrac{7}{12}$

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2 years ago