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Tema [17]
3 years ago
13

A pillowcase requires 1 1/3 yards of material. If Mrs. Huerta plans to sew six pillowcases, then how many yards of fabric does s

he need?
Mathematics
2 answers:
Neko [114]3 years ago
7 0
8 yards bc you just multiply the unit cost of each pillow (1 1/3 yards) by 6 bc that’s the total amount of pillows she’s making
Daniel [21]3 years ago
7 0

Answer:

8 yards

Step-by-step explanation:

We can model this with a simple expression of

1 1/3 *6 since he is sewing 6 pillowcases

to make this easier we can turn 1 1/3 to 4/3 and 6 into 6/1

so 4/3*6/1

we multiply the numerators together and the denominators together

24/3

or

8

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The level of the tide in a harbor changed from 9 1/4 ft to 4 1/2 ft above sea level over a period of 3 1/4 hr
kumpel [21]

Answer:

The answer is "\bold{- \frac{19}{13} \ / hour}"

Step-by-step explanation:

Please find the complete question in the attached file.

Calculating the difference of 9 \frac{1}{4}\ and \ 4 \frac{1}{2}  dividing the value by 3 \frac{1}{4}

\to 4 \frac{1}{2} - 9 \frac{1}{4}\\\\ \to  \frac{9}{2} - \frac{37}{4}\\\\  \to  \frac{18-37}{4} \\\\ \to -\frac{19}{4}\\\\\to -\frac{19}{4} \div \frac{13}{4}= -\frac{19}{4} \times \frac{4}{13} = -\frac{19}{13}\\

3 0
3 years ago
Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of converge
tresset_1 [31]

Answer:

Radius of the convergence is R = \frac{1}{21}

and,

The Interval of convergence is -\frac{1}{21}

Step-by-step explanation:

Given function : Σ(21x)^k

Now,

Using the ratio test, we have

R = \lim_{n \to \infty} |\frac{21x^{k+1}}{21x^{k}}|

or

R = \lim_{n \to \infty} |\frac{21x^{k}\times21x^{1}}{21x^{k}}|

or

R = \lim_{n \to \infty} |21x^{1}|

now,

for convergence R|x| < 1

Therefore,

\lim_{n \to \infty} |21x^{1}| < 1

or

-\frac{1}{21}

and,

Radius of the convergence is R = \frac{1}{21}

and,

The Interval of convergence is -\frac{1}{21}

8 0
3 years ago
April shoots an arrow upward at a speed of 80 feet per second from a platform 25 feet high. The pathway of the
zaharov [31]

Answer:

The maximum height of the arrow is 125 feet.

Step-by-step explanation:

The pathway of the arrow can be represented by the equation,

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Where h is height in in feet and t is time in seconds.

It is required to find the maximum height of the arrow. For maximum height, \dfrac{dh}{dt}=0.

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Put t = 2.5 s in equation (1). So,

h = -16(2.5)^2 +80(2.5) + 25\\\\h=125\ \text{feet}

So, the maximum height of the arrow is 125 feet.

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