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Orlov [11]
3 years ago
11

The larger of two numbers is 15 more than 3 times the smaller number. If the sum of the two numbers is 63 find the numbers

Mathematics
1 answer:
scoray [572]3 years ago
3 0

Answer:

X = 51

Y = 12

Step-by-step explanation:

2 numbers: (Larger) Number 1 is x and Number 2 is y

The equation is x + y = 63

  • x = 3y +15
  • y = y

New equation is:

  • 3y + 15 + y = 63

Combine like variables:

  • 4y + 15 = 63

Solve:

  • 4y + 15 - 15 = 63 - 15
  • 4y = 48

Divide 4 from each side:

  • <em><u>y = 12</u></em>

To find x fill in the variables from the 'x =' equation:

  • x = 3y + 15
  • x = 3( 12) + 15
  • <em><u>x = 51</u></em>
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Find the volume of a cube<br> whose surface area is 150<br> ft2?
Brrunno [24]

Given:

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To Find:

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As here in Question we are given Surface area of cube is 150 sq. feet. So, firstly we have find the side of edge of cube. Let 'a' be the edge of the cube

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\: \: \: \: \dashrightarrow \sf \: \: \: \: Surface  \: area_{(Cube)} = 6a^2  \\  \\

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\: \: \: \: \dashrightarrow \sf \: \: \: \: 150 = 6a^2  \\  \\ \: \: \: \: \dashrightarrow \sf \: \: \: \:   \frac{150}{6}   =  {a}^{2}  \\  \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: 25 =  {a}^{2}  \\  \\ \: \: \: \: \dashrightarrow \sf \: \: \: \:  \sqrt{25}  = a \\  \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: { \underline{ \boxed{ \sf{ \pink{5 = a}}}} } \\  \\

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7 0
2 years ago
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