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Iteru [2.4K]
2 years ago
11

Marge cut 16 pieces of tape for mounting pictures on posterboard each piece of tape is 3/8 inches long how much tape did Marge u

se
Mathematics
1 answer:
daser333 [38]2 years ago
7 0

Answer:

6 inches of tape

Step-by-step explanation:

To find the total amount of tape that Marge used, you can take the measure of each piece (\frac{3}{8}) and multiply by the total number of pieces cut (16):

\frac{3}{8}*\frac{16}{1}=\frac{48}{8}=6inches

So, Marge used 6 inches of tape altogether.

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The dimension of a rectangular garden are 12 1/2 feet by 16 3/4 feet. If 1 5/8 feet is added to all the sides, find the new dime
Effectus [21]

Answer:

L=15\tfrac{6}{8} \ feet

B=20 \ feet

Step-by-step explanation:

Given that the dimensions of a rectangular field is (in feet)

l=12\tfrac{1}{2}=\frac{12 \times 2 +1}{2}=\frac{25}{2}

b=16\tfrac{3}{4}=\frac{16 \times 4 +3}{4}=\frac{67}{4}

Now we are being told that 1\tfrac{5}{8} feet is added to each side. Hence New Dimensions will be

1\tfrac{5}{8}=\frac{1 \times 8 +5}{8}=\frac{13}{8}

L = \frac{25}{2}+\frac{13}{8}+\frac{13}{8}

L=\frac{25 \times 4}{2 \times 4}+\frac{13}{8}+\frac{13}{8}

L=\frac{100}{8}+\frac{13}{8}+\frac{13}{8}

L= \frac{100+13+13}{8}

L= \frac{126}{8}

L=15\tfrac{6}{8}

B= \frac{67}{4}+\frac{13}{8}+\frac{13}{8}

B= \frac{67\times 2}{4\times 2}+\frac{13}{8}+\frac{13}{8}

B= \frac{134}{8}+\frac{13}{8}+\frac{13}{8}

B= \frac{134+13+13}{8}

B=\frac{160}{8}

B=20

Hence New Dimensions are

L=15\tfrac{6}{8} \ feet

B=20 \ feet

3 0
2 years ago
Read 2 more answers
The average low temperature by month in Nashville is represented by the function
malfutka [58]

Answer:

<h2>33</h2>

Step-by-step explanation:

Given the average low temperature by month in Nashville is represented by the function  f(x)=-1.4x² + 19x +1.7, where x is the month, the average rate of change is expressed as d[f(x)]/dx = 2(1.4x) + 19

d[f(x)]/dx  = 2.8x + 19

Since the number of months between March and August is 5 months and x is in months, hence we will substitute x = 5 into the resulting function to get  the average rate of change from March to  August as shown;

d[f(x)]/dx  at x = 5

= 2.8(5)+ 19

= 14 + 19

= 33

<em>Hence the average rate of change from March to August is 33</em>

4 0
2 years ago
What is the area of the regular octagon below? 9m
Feliz [49]

Answer:

No diagram and no explanation what 9 is.

However, if it is an octagon with each side equal to 9 then

area = (# of sides * side^2) / (4 * tan (180 # of sides))

area = 8 * 9 * 9 / (4* tan (180 / 8)

area = 648 / 4 * 0.41421

area = 391.1059607446

answer is C

Step-by-step explanation:

8 0
2 years ago
A sample with a sample proportion of 0.4 and which of the following sizes will produce the widest 95% confidence interval when e
Fed [463]

Answer:

C. 50

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

The higher the margin of error, the wider an interval is.

As the sample size increases, the margin of error decreases. If we want a widest possible interval, we should select the smallest possible confidence interval.

So the correct answer is:

C. 50

6 0
2 years ago
Which statement shows how two polynomials 5x − 6 and 6x + 2 demonstrate the closure property when multiplied?
Sunny_sXe [5.5K]
I dont see any statements. When you multiply the two you get: 30x^2 - 26x -12.
8 0
2 years ago
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