For the first problem the answer is -5/2
2x−7+10=−2
Step 1: Simplify both sides of the equation.
2x−7+10=−2
2x+−7+10=−2
(2x)+(−7+10)=−2
(Combine Like Terms)
2x+3=−2
Step 2: Subtract 3 from both sides.
2x+3−3=−2−3
2x=−5
Step 3: Divide both sides by 2.
2x/2=−5/2
x=−5/2
Answer:
x= -5/2
0W 6G = 1POSSIBILITY
1W 5G = 1POSSIBILITY
2W 4G, 2W 4G = 2 POSSIBILITIES
3W 3G, 3W 3G = 2 POSSIBILITIES
4W 2G, 4W 2G = 2 POSSIBILITIES
5W 1G = 1POSSIBILITY
6W 0G = 1POSSIBILITY
TOTAL IS 10 DIFFERENT CUBES
Answer:
26/3 or 8.66666 (8.6 with a line over the 6)
Step-by-step explanation:
According to the problem, 13/2 pounds is only 3/4 of a quart. A unit rate, however, has a denominator value of 1. To solve this question, we must change the value of 3/4 to 1.
The first step to this is changing 3/4 to 1/4. This means affecting the value 13/2 pounds. 1/4 is a third of 3/4. We must find a third of 13/2 to properly change this relationship. So, we should do 13/2 ÷ 3. This can also be written as 13/2*3. So, a third of 13/2 is 13/6. Our new relationship is 13/6 pounds = 1/4 quart.
Now, we can multiply 13/6 and 1/4 by 4 to get ? and 4/4, or 1. We can multiply the numerator by 4 to finish this step. 13/6 becomes 13*4/6, which equals 52/6. 52/6 can be divided by 2 to simplify the fraction and becomes 26/3.
So, the <em>unit rate of 13/2 pounds per 3/4 quart is 26/3</em>. 26/3 can also be written as 8.66666, or 8.6 with a line over the 6, in decimal form.
Answer:
Step-by-step explanation:

Given:
and
.
To find:
The combinations without repetition are possible if
and
.
Solution:
Combination of selecting r item from total n items is:

We have
and
. By using the above formula, we get



Therefore, the correct option is D.