Let the original length of the square be x cm.
(x+5) X (x-2) = 60
Or, x^2-2x+5x-10-60 = 0
Or, x^2+3x-70=0
Or, x^2+10x-7x-70=0
Or, x(x+10)-7(x+10)=0
Or, (x-7)(x+10)=0
Therefore, x=7 or x=-10 (rejected as the length cannot be negative)
Ans: Area of the square=l^2=7^2=49 square meters.
Answer:
8 cups of blue and 12 cups of red
Step-by-step explanation:
Combine 1/3 c of blue + 1/2 c of red = 5/6 c of purple.
(5/6)x = 20
x = (6/5)20 = 24
this is applied to each of the above measurements to show that you need 8 c of blue + 12 c of red.
The key concept you must have to remember is that, the rate is kept constant, as what is specified in the problem. Our basis for the rate is the first situation.
Rate = 20 facts/ 1 min.
Let's equate this to the second situation using x as the time unknown.
20/1 = 35/x
Solving for x,
<em>x = 1.75 minutes</em>
Answer:
The answer is 9.4 cm.
Step-by-step explanation:
To solve for the circumference of the circle, use the circumference formula, which is C = 2
.
Next, in the problem, the circle has a diameter measure but no radius measure. To find the radius of this circle, divide the diameter (3 cm) by 2, and it will equal 1.5 cm. The radius is being divided by 2 because the radius of any circle is equal to half the diameter of the circle.
Then, plug in the information given from the problem into the formula, and the formula will look like C = (2) (
) (1.5 cm).
Finally, solve the equation, and the answer is 9.4 cm.
Answer:
1/3
Step-by-step explanation:
i got it right on the test because 2 divided by 6 is closest to 0.3 and 0.3 is the decimal version of 1/3