Answer:
<em>C. 1/(4^10)</em>
Step-by-step explanation:
<h2>Let's break it down: 4^-2 = 1/(4^2)</h2><h2>(1/(4^2))^5 = (1^5)/(4^2)^5 = 1/(4^10)</h2>
7x20=140. 7x2000=14000. The only thing that changes the product of these numbers is the amount of zeros behind the 2. Since the only two numbers that affect the answer is the 7 and the 2. (7x2=14). The number of zeros behind the 2 affect how many zeros will be included in the product.
Step-by-step explanation:
he has 900-230 = 670 more push-ups to do in the remaining 20 days.
so, he has to do every day
670/20 = 67/2 = 33.5 push-ups.
fractions of push-ups don't make sense.
we cannot say, he has to do at least 33 per day, because then he might come short in the end (if he sticks to the low limit) .
so, we have to say he has to do more than 33 or at least 34 push-ups per day to be sure he will at least reach his goal.
p > 33
or
p >= 34
both should be correct in the context of using only whole numbers.
bur in case of doubt I would pick p >= 34.
Answer:
C. y +3 = x +3
Step-by-step explanation:
We need to find in below option x has direct variation with y.
We solve for each;
A. 
From above equation we can state that 2 times y is equal to 7 less than 3 times of x.
Hence it doesn't represent direct variation.
B. 
Solving above expression we get;

From above equation we can state that y is equal to 10 more than x.
Hence it doesn't represent direct variation.
C. 
Solving above expression we get;

From above equation we can state that y is equal to x.
Hence it represent direct variation.
D. 
Solving above expression we get;

From above equation we can state that 4 times y is equal to 2 less than 4 times of x.
Hence it doesn't represent direct variation.
Hence the Answer which represent direct variation of x and y is,
C. 
Answer:
3 1/3
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x
=
10
/3
Decimal Form:
x
=
3.
3
3
Mixed Number Form:
x = 3 1/3