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3 years ago

7

89 more tan the quotient of an unknown number and 62is 94 what is the value of the unknown number

1 answer:

alexira [117]3 years ago

4 0

So,

"89 more than" = 89 +

"the quotient of an unknown number and 62" = 62 over x

"is 94" = 94

$89 + \frac{62}{x} = 94$

Multiply both sides by x.
89x + 62 = 94x

Subtract 89x from both sides.
62 = 5x

Divide both sides by 5.
$\frac{62}{5}$ = x

Simplify.
$12 \frac{2}{5}\ or\ 12.4 = x$

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. Which ordered pairs in the form (x, y) are solutions to the equation 7x – 5y = 28?

Brut [27]

we know that

If a ordered pair (x,y) is a solution of the equation, then the ordered pair must satisfy the equation

we have the equation

$7x-5y=28$

Let's verify all the cases to determine the solution to the problem.

<u>case A)</u> point $(-6,-14)$

Substitute the values of x and y in the equation

$x=-6\\y=-14$

$7(-6)-5(-14)=28$

$-42+70=28$

$28=28$ -------> is true

therefore

The point $(-6,-14)$ is a solution of the equation

<u>case B)</u> point $(-1,-7)$

Substitute the values of x and y in the equation

$x=-1\\y=-7$

$7(-1)-5(-7)=28$

$-7+35=28$

$28=28$ -------> is true

therefore

The point $(-1,-7)$ is a solution of the equation

<u>case C)</u> point $(4,10)$

Substitute the values of x and y in the equation

$x=4\\y=10$

$7(4)-5(10)=28$

$28-50=28$

$-22=28$ -------> is not true

therefore

The point $(4,10)$ is not a solution of the equation

<u>case D)</u> point $(7,9)$

Substitute the values of x and y in the equation

$x=7\\y=9$

$7(7)-5(9)=28$

$49-45=28$

$4=28$ -------> is not true

therefore

The point $(7,9)$ is not a solution of the equation

therefore

<u>the answer is </u>

$(-6,-14)$

$(-1,-7)$

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Read 2 more answers

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Answer:

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Step-by-step explanation:

Altitude of an equilateral triangle splits it into 2 equal right triangles, it bisects the base and the angle opposite to the base.

<u>Let the altitude be x. Then as per Pythagorean theorem:</u>

x² = 40² - (40/2)²
x²= 1600 -400
x²= 1200
x= √1200
x= 20√3 cm

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