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Lady_Fox [76]
2 years ago
11

- Trisha is making flags with 40 5/16 yards of fabric. If each flag requires 3 1/8 yards, how many flags can she make?​

Mathematics
1 answer:
Westkost [7]2 years ago
4 0

Answer:

She can make 13 flags

Step-by-step explanation:

40 5/6 divided by 3 1/8

245/6 divided by 25/8

245/6 x 8/25

Use cancellation for a more simplified result

49/6 x 8/5

49/3 x 4/5 = 196/15 = 13 1/15

She can make 13 flags

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6 0
3 years ago
Solve 0 = (x – 4)2 – 1 by graphing the related function.
fomenos

Answer:

Therefore, the solutions of the quadratic equations are:

x=5,\:x=3

The graph is also attached.

Step-by-step explanation:

The solution of the graph could be obtained by finding the x-intercept.

y=\left(x-\:4\right)^2-1

Finding the x-intercept by substituting the value y = 0

so

y=\left(x-\:4\right)^2-1

\:0\:=\:\left(x\:-\:4\right)^2\:-\:1        ∵ y = 0

\left(x-4\right)^2-1=0

\left(x-4\right)^2-1+1=0+1

\left(x-4\right)^2=1

\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}

\mathrm{Solve\:}\:x-4=\sqrt{1}

\mathrm{Apply\:rule}\:\sqrt{1}=1

x-4=1

x=5

\mathrm{Solve\:}\:x-4=-\sqrt{1}

\mathrm{Apply\:rule}\:\sqrt{1}=1

x-4=-1

x=3

So, when y = 0, then x values are 3, and 5.

Therefore, the solutions of the quadratic equations are:

x=5,\:x=3

The graph is also attached. As the graph is a Parabola. It is visible from the graph that the values of y = 0 at x = 5 and x = 3. As the graph is a Parabola.

8 0
3 years ago
The measure of the perimeter of a triangle is 24x - 2. It is known that two of the sides of the triangle have measures of 10x +
stealth61 [152]

Answer: 6x-3

Step-by-step explanation: Say that the third side is y. The equation for the perimiter is side 1+ side 2+ side 3= perimeter which if you intput what we have turns out like (10x+2) +(8x-1)+y=24x-2. If you add 10x+2 and 8x-1 you get 18x+1. We can update the previous equation making it (18x+1)+y=24x-2. Since your trying to find y, you isloate it by subtracting (18x+1) from both sides. This leaves us with y=6x-3 as the length of thr missing side.

7 0
3 years ago
How do you find the area of this composite figure?
Illusion [34]
If you notice the picture below

the composite figure is just a trapezoid sitting on top of a rectangle
and then, the rectangle has a triangular hole in it

so.. get the area of the trapezoid   \bf \textit{area of a trapezoid}=A=\cfrac{h}{2}(a+b)\qquad 
\begin{cases}
h=height\\
a,b=\textit{parallel sides or bases}
\end{cases}

then get the area of the rectangle, which is just a 12x14
and then get the area of the triangle, which surely you know is 1/2 bh

then, subtract the triangle's area from the rectangle's area

and whatever is left, namely the difference, add that to the area of the trapezoid, and that's the composite's area

namely the area of the trapezoid plus the rectangle's, minus the triangle's

6 0
3 years ago
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