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sergeinik [125]
3 years ago
13

Adam is building birdhouses that requires 1/2-ft-long boards. How many pieces that are exactly 1/2 ft long can be made from a bo

ard that is 8 1/4 ft long?
Mathematics
1 answer:
Julli [10]3 years ago
4 0

Answer:

16

Step-by-step explanation:

Adam is building birdhouses that requires \frac{1}{2} i.e 0.5 feet long boards.

Now, he has an 8\dfrac{1}{4} i.e. 8.25 feet longboard and wants to cut each 0.5 feet longboards.

We have to calculate the number of pieces of exactly 0.5 feet length that can be made from this 8.25 feet longboard.

Now, \frac{8.25}{0.5}= 16.5

So, there can be 16 whole board of exact length 0.5 feet. (Answer)

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Write the equation of the line in fully simplified slope-intercept form.
Bad White [126]

Answer:

y = -\frac{2}{5} x-6

Step-by-step explanation:

1) First, find the slope of the line. Use the slope formula m =\frac{y_2-y_1}{x_2-x_1}. Pick two points on the line and substitute their x and y values into the formula, then solve. I used the points (-5,-4) and (0,-6):

m = \frac{(-6)-(-4)}{(0)-(-5)} \\m = \frac{-6+4}{0+5} \\m = \frac{-2}{5} \\  

So, the slope of the line is -\frac{2}{5}.

2) Next, use the point-slope formula y-y_1 = m (x-x_1) to write the equation of the line in point-slope form. (From there, we can convert it to slope-intercept form.) Substitute values for the m, x_1 and y_1 into the formula.

Since m represents the slope, substitute -\frac{2}{5}  in its place. Since x_1 and y_1 represent the x and y values of one point on the line, pick any point on the line (any one is fine, it will equal the same thing at the end) and substitute its x and y values in those places. (I chose (0,-6), as seen below.) Then, with the resulting equation, isolate y to put the equation in slope-intercept form:

y-(-6) = -\frac{2}{5} (x-(0))\\y + 6 = -\frac{2}{5} x\\y = -\frac{2}{5} x-6

6 0
3 years ago
A plane is descending into the airport. After 5 minutes it is at a height of 6500 feet. After 7 minutes it is at a height of 590
Jet001 [13]

Let's assume

height of plane  in feet =h

time in minutes =t

we are given

A plane is descending into the airport. After 5 minutes it is at a height of 6500 feet

so, we get one point as (5,6500)

After 7 minutes it is at a height of 5900 feet

so, we get another point as (7,5900)

we can use point slope form of line

y-y_1=m(x-x_1)

points as

(5,6500)

x1=5, y1=6500

(7,5900)

x2=7 , y2=5900

Calculation of slope(m):

m=\frac{y_2-y_1}{x_2-x_1}

now, we can plug values

m=\frac{5900-6500}{7-5}

m=-300

Equation of line:

we can use formula

y-y_1=m(x-x_1)

we can plug values

h-6500=-300(t-5)

h=-300t+8000

Time of landing:

we can set h=0

and then we can solve for t

h=-300t+8000=0

t=\frac{80}{3}min..............Answer

5 0
3 years ago
At the 2012summer olimpics in london
aivan3 [116]

Answer:

what happened?

Step-by-step explanation:

6 0
2 years ago
POS
meriva

Answer:

0.08 = 8%

2.3= 230%

0.34= 34%

1.05= 105%

0.7= 70%

0.049= 4.9%

7 0
3 years ago
Please I need help as soon as possible
blagie [28]

Answer:

Before cutting the square, Miguel would need to paint 12 ft². After cutting the square out, Miguel would need to paint 8 ft²

Step-by-step explanation:

Length x Width = Area

4×3=12

2×2=4

12-4=8

7 0
3 years ago
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