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algol [13]
3 years ago
5

Elena brought 49 packets of red balloons,66 packets of blue balloons,and 35 packets of yellow balloons.Each packet contained 12

balloons.She mixed them up and gave away same balloons.She then repacked the balance into packets of 25.
A.How many balloons were there altogether?

B.She gave away 225 balloons.How many large packets of 25 balloons were there?

A.She paid $3 for each packet of a dozen ballons.She sold each new packet of 25 balloons at $10 each.How much money did she make?
Mathematics
1 answer:
Alex_Xolod [135]3 years ago
4 0
The answer is A. how many balloons were there altogether because the question is asking you the balance in the packets of 25.
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The given system of equations is:

2x+y=1

x-2y=8

To find:

The solution to this system of equations by graphing.

Solution:

We have,

2x+y=1

x-2y=8

The table of values for first equation is:

x       y

0      1

1      -1

Plot the points (0,1) and (1,-1) on a coordinate plane and connect them a straight line.

The table of values for second equation is:

x       y

0      -4

2      -3

Plot the points (0,-4) and (2,-3) on a coordinate plane and connect them a straight line.

The graphs of given equations are shown in the below figure.

From the below figure, it is clear that the lines intersect each other at point (2,-3). So, the solution of the given system of equations is (2,-3).

Therefore, the solution to this system of equations is:

x-coordinate: 2

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3 years ago
help please!! find the area of each triangle. round intermediate values to the nearest tenth. use the rounded values to calculat
White raven [17]

Area of a triangle = (1/2)*base*height

For both of the triangles, you have the base (8.8 for the triangle on the left, 7.6 for the triangle on the right) and the side lengths, but not the height. But since both are isosceles triangles, you can find the height using the pythagorean theorem.

5.

First divide the triangle vertically into two triangles (see attached picture). Now you have two right triangles, you can apply the pythagorean theorem on either one of them to find the height. The pythagorean theorem says that for a right triangle, a^2+b^2=c^2, where c is the hypotenuse and a and b are the sides of the triangle.

Substituting the given values and rounding to nearest tenth:

a^2+b^2=c^2\\4.4^2+h^2=10^2\\h=9.0

Now that you have the height, you can find the area of the entire triangle.

A = (1/2)*base*height

A = (1/2)*8.8*9.0 = 39.6

6.

Same procedure.

a^2+b^2=c^2\\3.8^2+h^2=10^2\\h=9.2

A = (1/2)*base*height

A = (1/2)*7.6*9.2 = 35.0

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Answer:

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Step-by-step explanation:

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