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torisob [31]
2 years ago
14

Jalisa is making bracelets with leather bands. Each bracelet uses 7 3/4 inches of leather banding. She plans to make 4 bracelets

. How many inches of leather banding will she need?
Mathematics
1 answer:
marysya [2.9K]2 years ago
4 0
31 inches because 7x4=28 3/4x4=12/4 and 12/4=3 so 28+3=31
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The line through (-1/2, -7/2) and (2, 14) in slope intercept form??
icang [17]
To find the equation of a line in slope-intercept form given two points, we must arrange the points this way to find the slope (m):

m =  \frac{y_{2}-y _{1}}{x_{2}-x_{1}}

We can replace the variables in this equation with the values from the points we have been given, (\frac{-1}{2},  \frac{-7}{2}) and (2, 14). We know that the x-values always come first in an ordered pair, so we can put those in our equation first.
It doesn't really matter which x-value goes in which x-value slot in the equation as long as you match up the y-values in the same fashion. But for the sake of convenience, we will call the 2 in the second ordered pair x_{2} and the \frac{-1}{2} in the first ordered pair x_{1}.
Now, we can match these values in our equation, and while we're at it, we can substitute the appropriate y-values into their places as well.

m =  \frac{y_{2}-y _{1}}{x_{2}-x_{1}}

m =  \frac{14 -  \frac{-7}{2} }{2 -  \frac{-1}{2} }

Now, we can see that we are subtracting negatives in this equation. Remember that whenever you subtract a negative, it is the same as adding a positive. So, this equation could be rewritten as

m =  \frac{14 +  \frac{7}{2} }{2 +  \frac{1}{2} }

and we can change the improper fraction in the numerator into a mixed number for ease of addition.

m =  \frac{14 + 3 \frac{1}{2} }{2+ \frac{1}{2} }

And here, we can add, since it's made simple for us.

m =  \frac{17  \frac{1}{2} }{2  \frac{1}{2} }

Finally, to get the slope we can complete the fraction by dividing.

17.5 ÷ 2.5 = 7

The slope of this equation, m, is 7, and so far, our equation looks like this:

y = 7m + b

Now, to find y-intercept.

To do this, we simply have to substitute one of the ordered pairs in for the appropriate x- and y-values and solve. To make it easier on ourselves, we can use (2, 14) so we don't have to deal with negative numbers or fractions.

y = 7x + b

Let us substitute in our values.

14=7(2)+b

Now, we can solve by multiplying the 7 and 2.

14=14+b

Here, we can subtract 14 from both sides, since it is added to both in the equation, and we are left with

0 = b

which can be flipped around to show

b=0

The y-intercept of this line is 0.

Now, we can make this known in our equation like this:

y=7x+0

Or, for neatness' sake, we can just say

y=7x

which is your final equation.

The line through (\frac{-1}{2},  \frac{-7}{2}) and (2, 14) in slope-intercept form is <span>y=7x.
Hope that helped! =) </span>


7 0
3 years ago
A football field measures 120 yards long and 54 yards wide. We know that the team can fit 26 players in 5 yards by 8 yards box.
wariber [46]

Answer:

4,212 people

Step-by-step explanation:

We are given;

  • Dimensions of the football field are 120 yards by 54 yards
  • 26 players can fit in a box measuring 5 yards by 8 yards

We are required to determine the number of people that can fit in the football field.

  • We are going to get the area of the field first;

Area = length × Width

Area of the field = 120 yards × 54 yards

                          =  6480 square yards

  • Then we get the area of the box

Area of the box = 5 yards × 8 yards

                           = 40 square yards

  • We then determine the number of boxes that can fit in the football field

Number of boxes = Area of the foot ball field ÷ Area of one box

                             = 6480 sq yards ÷ 40 sq yards

                             = 162 boxes

But, 26 people can fit in one box

Therefore,

Total number of people that can fit in the field is given by multiplying the number of boxes that can fit in the field by the number of people in a box

That is, Number of people = 26 players × 162 boxes

                                            = 4,212 people

Therefore, the number of people that can fit in the football field is 4,212 people.

6 0
3 years ago
A land developer is splitting up 1.19 hectares of land to form 9 identical properties. To the nearest tenth of a hectare, what s
OlgaM077 [116]

In this question , it is given that the land is 1.19 hectares. And the land developer splitting it into 9 identical properties . So to find the size of each property, we need to divide 1.19 by 9 and on doing that, we will get 0.13 hectares .

So the size of each property is 0.13 hectares .

4 0
3 years ago
A fire department in a rural county reports that its response time to fires is approximatelyNormally distributed with a mean of
____ [38]

Answer:

Option C) 0.25

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 22 minutes

Standard Deviation, σ = 11.9 minutes

We are given that the distribution of  response time is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(response times is over 30 minutes)

P(x > 30)

P( x > 30) = P( z > \displaystyle\frac{30 - 22}{11.9}) = P(z > 0.6722)

= 1 - P(z \leq 0.6722)

Calculation the value from standard normal z table, we have,  

P(x > 30) = 1 - 0.749= 0.251 = 25.1\%

Thus, the correct answer is

Option C) 0.25

3 0
2 years ago
Read 2 more answers
Find the product 2.25x0.04=?
Debora [2.8K]
The product to 2.25 x 0.04 is 0.09

3 0
3 years ago
Read 2 more answers
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