An equivalent fraction is a fraction formed by multiplying the numerator and the denominator of a fraction by a common number.
Answer:
Part 1) Subtraction Property of Equality
Part 2) This property can be used , because addition and subtraction have inverse relationships
Step-by-step explanation:
we know that
The<u><em> subtraction property of equality</em></u> tells us that if we subtract from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same
so
we have

Solve for y
Applying Subtraction Property of Equality
subtract 10.50 both sides


Remember that this property can be used , because addition and subtraction have inverse relationships.
Answer: Hello!
Ok, because the bulbs are wired in series, then if only one fails, all the string fails.
Then we need to see the probability for the 20 bulbs to not fail.
If the probability for each bulb to fail is 0.02, then the complement (or the probability of working fine) is 1 - 0.02 = 0.98
then we have 20 bulbs, and each one has a probability of 0.98 of working alright, then the probability for all them to work alright is the multiplication of this probabilities, this is
= 0.6676
rounded up in the decimal, we have 0.668
then the correct answer is c.
Answer:
120*2.75*60/5280
= 3.75
Step-by-step explanation:
So James is walking at 120 steps a minute, there are 60 minutes in one hour, and 5,280 feet in a mile. So, to find how quickly James is walking, we multiply how many steps he is taking a minute by how much distance each step is (120 * 2.75) that gives us how much distance in one minute, so we then multiply by 60 because there are 60 minutes in one hour. Then divide the entire equation by how many feet are in one mile (5,280) giving us the answer 3.75 miles per hour. And the equation 120*2.75*60/5280
To apply the changes to the equation of a vertical stretch of 4 and a translation of 3 units to the right, as well as the correct answer would be choice B.
The reason for this is when you apply a vertical stretch, because it changes the y-values (which causes it to vertically stretch or appear skinnier when graphed), you would multiply 4 to f(x) which would look like 4x^2.
Then, since you have a reflection over the x-axis, you must multiply a -1 to f(x) to reflect it over the x-axis which would result in -4x^2.
Finally, it also asks to shift the graph right 3 which by moving it right, you change the x values meaning you will perform f(x-3) to achieve this (subtract the value from x when you move right, and add the value to x when you move left).
This therefore results in your answer, the new graph would be
g(x)= -4(x-3)^2 or choice B.