(a) 95 = (x+7)*(x-7)
(b) 95 = (x+7)*(x-7)
Expand the brackets:
95 = x² -7x + 7x -49 = x² - 49
Subtract x² from both sides:
95-x² = -49
Subtract 95 from both sides:
-x²=-49-95
-x²= -144
Divide both sides by -1 to get rid of the negative numbers:
-x²/-1=-144/-1
x²=144
Take the square root of 144:
x = ± squareroot of 144
x = 12 or -12
x = 12 because you cannot have a negative age so Trina is 12 years old.
Answer:
37/40
Step-by-step explanation:
There are 3 numbers between 1 and 40 that are a multiple of 13: 13,26,39.
So, your probability should be 40-3/40, = 37/40.
Answer:
The constant of proportionality is 5.
Step-by-step explanation:
If the quantity q varies inversely with the square of m and directly with the product of r and x, then the variation equation is

When q=2.5, m= 4 and the
product of rx = 8.
We plug in this values to get;



Multiply both sides by 2

The constant of proportionality is 5.
The answer is times the 5500 adding the 6600 and as it adds up the box rate to 1.75 the answer is 1.75 insterest rate and 132000 dollars left
Probabilities are used to determine the chances of selecting a kind of donut from the box.
The probability that Warren eats a chocolate donut, and then a custard filled donut is 0.068
The given parameters are:



The total number of donuts in the box is:


The probability of eating a chocolate donut, and then a custard filled donut is calculated using:

So, we have:

Simplify

Multiply

Divide

Hence, the probability that Warren eats a chocolate donut, and then a custard filled donut is approximately 0.068
Read more about probabilities at:
brainly.com/question/9000575