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Tomtit [17]
2 years ago
12

the sum of two numbers is 123. when the larger number is added to 5 times the smaller, the sum is 343. find the numbers.​

Mathematics
2 answers:
vovikov84 [41]2 years ago
3 0
Create a system of equations
x + y = 123
5x + y = 343

I use substitution
y = 123 - x
5x + 123 - x = 343
4x + 123 = 343
4x = 220
x = 55

Plug in
x + y = 123
55 + y = 123
y = 68

Check
5x + y = 343
5(55) + 68 = 343
275 + 68 = 343
343 = 343
nordsb [41]2 years ago
3 0
234+657=985 62793)2799994)252888
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This tells you that all 3 points are in the same plane, that plane again is A

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3 years ago
The axis of a great circle of a sphere is 24 inches. If its radius is 9 inches, how far is the plane of a section from the cente
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A great circle is a section of a sphere that passes through its center. If the earth were a sphere, a great circle would be the equator and its axis would be the line connecting the geographic north and south pole. The length of the axis is then equal to the diameter of the sphere. For this problem, the radius of the sphere is 12 inches. A section is formed by slicing through the sphere and all sections of a sphere are circles. Considering the plane to be cut above and parallel with the equator (which is a great circle), the distance of the plane from the center of the sphere would then be the distance between the centers of the sphere and section. It is also given that the radius of the section is 9 inches. A right triangle is formed by connecting the center of the sphere, an edge of the section, and back to the center of the sphere whose hypotenuse is 12 inches (radius of the sphere), one leg is the 9 inches (radius of the section), and another leg is the distance of the plane from the sphere's center. Thus, the distance can be calculated using the Pythagorean theorem, d = sqrt(12^2 - 9^2) = sqrt(144 - 81) = sqrt(63) = 3*sqrt(7).


I hope my answer has come to your help. Thank you for posting your question here in Brainly.
6 0
3 years ago
I like Pho shudbixbuebxubeuxbuebxube
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7 0
3 years ago
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Consider the function f(x)=-2/3x +5 <br> what is f(-6) <br> enter your answer in the box <br> f(-6)=
GaryK [48]

Answer:

f(- 6) = 9

Step-by-step explanation:

to evaluate f(- 6), substitute x = - 6 into f(x)

f(- 6) = - \frac{2}{3} × - 6 + 5

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4 0
3 years ago
5
natulia [17]

Answer:

1648

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5/9 = ?/3708

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3708-2060= 1648

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3 years ago
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