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3 years ago

What is 1/4+3/8+1/2+5/8+7/8

Mathematics

1 answer:

Vadim26 [7]3 years ago

6 0

Answer:

2⅝

Step-by-step explanation:

You must convert each fraction to a <em>common denominator</em>.

The <em>least common multiple</em> of 2, 4, and 8 is 8.

1/4 +3/8 + 1/2 + 5/8 + 7/8 Convert to a common denominator

= 2/8 + 3/8 + 4/8 + 5/8 + 7/8

= (2 + 3 + 4 + 5 + 7)/8

= 21/8 Convert to a mixed number

= (16 + 5)/8

= 2 + ⅝

= 2⅝

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4 years ago

The base of a triangular sail is 16 m shorter than its height. The area is 96 m squared . Find the base and height of the sail.

HACTEHA [7]

Answer:

Step-by-step explanation:

Lets start by labeling the triangle. Lets say the height is x and the base is x-16.

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3 years ago

What is the system is equations 5x+4y=8 2x-3y=17

Tomtit [17]

Answer:

(4, -3)

Step-by-step explanation:

The system of equations can be described a number of ways. One possible description is "a consistent pair of linear equations in two variables."

Perhaps you want to know the solution to this system of equations. I find it easiest to graph them. The attached graph shows the solution to be ...

(x, y) = (4, -3)

You can also use "elimination" to simplify the system to a single equation in a single variable. Adding 4 times the second equation to 3 times the first will do that.

3(5x +4y) +4(2x -3y) = 3(8) +4(17)

23x = 92 . . . . . simplify

x = 4 . . . . . . . . divide by 23

Substituting this value into the first equation, we have ...

5(4) +4y = 8

5 +y = 2 . . . . . . divide by 4

y = -3 . . . . . . . . subtract 5

The solution is (x, y) = (4, -3).

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4 years ago