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.
This is a unit multiplier of sorts
1,900,000 x 45/30
Simplify
1,900,000 x 3/2
2,850,000
Answer:
53 1/3 km/h
Step-by-step explanation:
The car is going at 80km in 1.5 hours, so if you divide that value you get 26 2/3 km for every half hour, now you would want to multiply this times 2 to find the value for every hour, so then this would give you the answer 53 and 1/3 kilometers per hour.
Answer:
36
Step-by-step explanation:
From the diagram, the following is true;
AY = YB = 7
BZ = ZC = 6
XC = XA = 5
perimeter of the triangle is the sum of all the sides
Hence ;
Perimeter = AY+YB+BZ+ZC+XC+XA
Perimeter of the triangle = 7+7+6+6+5+5
Perimeter of the triangle = 36
hence the perimeter of the triangle is 36
300 - 297 = 3
294 - 291 = 3
288 - 285 = 3
So, that is a sequence of sums of number 3: 3 + 3 + 3 + .... + 3
How may times will the number 3 be added?
Note that 300 is reduced in 6 units each time => 300 / 6 = 50 => 3 will be added 50 times.
=> 50 * 3 = 150
Answer: 150