If you use a distributive or multiply is all kind a same
X = number of days it would take Kate to paint the house by herself. .
<span>x+5 = number of days it would take Jean to paint the house by herself.</span>
<span>Together, they paint the house in 6 days: </span>
<span>1/x + 1/(x+5) = 1/6 </span>
<span>Multiply both sides by 6x(x+5) </span>
<span>6(x+5) + 6x = x(x+5) </span>
<span>12x + 30 = x^2 + 5x </span>
<span>x^2 − 7x − 30 = 0
</span>therefore the answer is A.
Answer:
the numbers who's difference is 16 and the product is 720 is
36 &20
Explanation:
to finding numbers you have to express the equation in a quadratic equation then Factor it.
since the two numbers have a difference of 16 you can say that the first number is x and the second number is x -16 then their product is 720.
x(x-16)=720
x²-16x=720
x²-16x-720=0
(x-36)(x+20)
there are two possible value of x but since you are looking for the positive value of x, choose the positive value of x the first number is 20.
To find the second number
x-16=20
x=20+16
x=36
the second number is 36
<u>Now </u><u>to </u><u>check</u>
<u>3</u><u>6</u><u>-</u><u>2</u><u>0</u><u>=</u><u>1</u><u>6</u>
<u>2</u><u>0</u><u>*</u><u>3</u><u>6</u><u>=</u><u>7</u><u>2</u><u>0</u>
Answer:
<em>r=3x</em>
Step-by-step explanation:
<u>The Volume of a Cone</u>
The volume of a cone of radius r and height h is:
We are given the volume of a cone is
Equating:
Multiplying by 3:
Simplifying by pi:
Since h=x:
Dividing by x:
Taking square roots:
Thus: r=3x
Answer:
Wendy must mix .25 with .75
Step-by-step explanation:
Because 1 is a third of 3 which makes the process for the decimals.