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pshichka [43]
3 years ago
11

I need help with all of them and if you can't help with all of them just answer one of them please. Look at the picture

Mathematics
1 answer:
likoan [24]3 years ago
5 0
All you have to do is substitute the y value from the 1st equation into the second equation and solve...

a) y= 2-x
5x + 4y = 5

Substitute (2-x) into the second equation anywhere there is a y...

5x + 4y = 5
5x + 4(2-x) = 5

Now solve

5x + 8 - 4x = 5
5x - 4x + 8 = 5
x + 8 = 5
x = -3

Now that you have a solution for x, substitute -3 into either of the original equations anywhere there is an x then solve for y...

y = 2 - x
y = 2 - (-3)
y = 2+3 = 5

You solved for x and got -3 and solved for y and got 5, so your solution set is
(-3, 5).

Now check it by substituting both numbers into one of the original equations and you should have a true statement if it is correct...

y = 2 - x
5 = 2 - (-3)
5 = 2+3
5 = 5

True statement... it checks!


note* during the check, if the equation would have worked out to something like 2 = 5, then that is a false statement therefore the solution set would be wrong and you'd have to go back and find the mistake.
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Maggie and Amelia filled up 40 water balloons shaped like spheres. Each water balloon had a radius of 6.5 cm.​
jenyasd209 [6]

The total volume of the 40 sphere shaped water balloons is 46032.38 cubic cm.

Radius of 1 sphere = 6.5 cm

We know that the volume of the sphere is given by 4/3 π r³

We will take the radius as 6.5 cm and π as 22/7

Now we will find the volume : 4/3 ×22/7×6.5³ = 1150.81 cubic cm.

Volume of 40 such spheres = 40 × 1150.81 = 46032.38 cubic cm.

The radius of all the spheres are 46032.38 cubic cm.

A sphere is a geometrical entity with three dimensions that resembles a two-dimensional circle. A sphere is a group of points in three dimensions that are all situated at the same r-distance from one another.

The supplied point is the sphere's center, while the letter r stands for the sphere's radius which is half the diameter. The earliest known allusions to spheres are found in the works of two ancient Greek mathematicians.

Therefore total volume of the 40 sphere shaped water balloons is 46032.38 cubic cm .

Disclaimer: The complete question is : Maggie and Amelia filled up 40 water balloons shaped like spheres. Each water balloon had a radius of 6.5 cm.​Find the total volume of water required.

To learn more about sphere visit:

brainly.com/question/9994313

#SPJ9

3 0
1 year ago
Factoring Trinomals (a=1)<br>b^2 + 8b + 7
yulyashka [42]
b^2+8b+7=b^2+b+7b+7=b(b+1)+7(b+1)\\\\=\boxed{(b+1)(b+7)}
4 0
3 years ago
an equilateral triangle has one angle measureme of 60. What is the measurement of the two remaining angles?
Anna [14]
The equilateral triangle has one angle measurement of 60 what is the measurement of two remaining angles divide 60 by 2 with sugar 30 that your answer
6 0
3 years ago
1. Multiply 3/10 x 5/6
elena-14-01-66 [18.8K]
15/60 is the Awnser. Cuz 3•5 is 15 and 10•6 is 60
8 0
3 years ago
5. Write an expression to represent "Six more than the difference of a number and three."​
ki77a [65]
N-3+6
i dot believe that is the correct answer have an amazing day love ;)
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3 years ago
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