-2 + (-1/3) equals what?
Answers
Answer:
-2
Step-by-step explanation:
Final answer:
To evaluate -2 + (-1/3), subtract -1/3 from -2, which simplifies to -7/3.
Explanation:
To evaluate -2 + (-1/3), we need to add the two numbers together. When adding negative numbers, we can think of it as subtracting the numbers.
- So, -2 + (-1/3) is the same as -2 - 1/3. To subtract fractions, we need to have a common denominator.
- The common denominator of 2 and 3 is 6, so -2 - 1/3 is equal to -12/6 - 2/6.
- Subtracting -12/6 - 2/6 gives us -14/6. But we can simplify this fraction by dividing both the numerator and the denominator by their greatest common factor, which is 2. So, -14/6 simplifies to -7/3.
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Related Questions
Find y when x=21/2, if y varies inversely as x and x=5 when y=3A. 2.5/3=3/4;6B. 2.5/3=3/4;3C. 2.5/3=5/3;6D. 2.5/3=5/4;3
Calculate cos to two decimal places
How many solutions does this linear system have? y = x+ 2 6x – 4y = –10
A rectangular shoebox has a volume of 728 cubic inches. The base of the shoebox measures 8 inches by 6.5 inches. How long is the shoebox?
Answers
5.9 years.
Explanation:
Let x be the number of years. For the checking account, our expression would be 10000-1200x, since he withdraws $1200 from his account each year, and he begins with $10,000.
The formula for simple interest is:
I=prt
where:
p is the principal, r is the rate and t is the time
using our information, we have
p=2000,
r=8%=8/100=0.08, and
t=x.
This gives us 2000(0.08)(x).
However, we must add the $2000 to this (interest is added on to the principal); this gives us:
2000+2000(0.08)(x).
Setting these two equal, we have:
10000-1200x = 2000+2000(0.08)(x).
Simplifying the right hand side, we have:
10000-1200x=2000+160x.
Add 1200x to both sides:
10000-1200x+1200x=2000+160x+2000x;
10000=2000+1360x.
Subtract 2000 from both sides:
10000-2000=2000+1360x-2000;
8000=1360x.
Divide both sides by 1360:
5.9=x.
Let x be the number of needed years.
1. He deposits $10,000 into his checking account and he will withdraw $1,200 from his checking account each year. Then after x years he will have $10,000-$1,200x in his checking account.
2. He deposits $2,000 into his savings account and his savings account earns 8% interest each year, then after x years he will have
3. Equate these amounts of money:
4. Solve this equation:
- divide the equation by 400:
- plot graphs of the function
and
(see attached diagram);
- find the common point of these two graphs: (6.663,5.01).
Conclusion: he needs nearly 6.663 years.
Answers
No, the triangular numbers are not a direct variation. There is not a constant of variation between a number and its position in the sequence. The ratios of the numbers to their positions are not equal. Also, the points (1, 1), (2, 3), (3, 6), and so on, do not lie on a line.
Answers
365 days = 365*24 hours
365*24 hours = 365*24*60 minutes
2.2 million deaths / year
2.2 * 10^6 deaths / (365*24*60) minutes
4.186 deaths / minute
Answer: Approximately 4 deaths per minutes.
Step-by-step explanation:
Since, 1 year = 365 days,
1 day = 24 hours,
1 hour = 60 minutes,
⇒ 1 year = ( 365 × 24 × 60 ) minutes = 525600 minutes,
If the numbers of deaths in one year = 2.2 million = 2200000
⇒ The numbers of deaths in 525600 minutes = 2200000
⇒ The number of deaths in 1 minute = 2200000/525600 = 4.18569254186 ≈ 4
Hence, There are approximately 4 deaths per minutes.
Answers
The complete question is:
At the gas station, each liter of gas costs $3dollar but there's a promotion that for every beverage you purchase you save $0.20 dollar on gas. Is your total savings on gas proportional to the number of beverages you purchase?
Answer:
- Yes, your total savings on gas is proportional to the number of beverages you purchase.
Explanation:
What is a proportional relationship?
A proportional relationship, also known as direct relation, between two variables exists when the ratio between every pair of data is constant.
In this case the variables are:
- number of beverage purchased
- savings
Thus, as per every beverage purchase you save $ 0.20 the ratio of total savings to the number of beverage purchases is:
- savings / beverages purchase = $ 0.20 / beverage
That means that you can determine the savings by multipliying the number of beverages times $ 0.20.
For proportional relationships it is easy to build a table that shows the behavior of the variables. This shows you that:
Number of beverages savings ratio
1 $ 0.20 $0.20 / 1 beverage = 0.20
2 $ 0.40 $0.40 / 2 beverages = 0.20
3 $ 0.60 $0.60 / 3 beverages = 0.20
4 $ 0.80 $0.80 / 4 beverages = 0.20
3x + 2y = 21
Answers
Solve y=2x for y
Substitute (2x) for y in 3x+2y=21
3x+2y=21
3x+22x=21
7x=21 (Simplify)
7x / 7 = 21 / 7(Divide both sides by 7)
x=3
Substitute (3) for x in y=2x:
y=2x
y=(2)(3)
y=6 (Simplified)
y=6 and x=3
Answers
Final answer:
The correct option is d.
To solve for x in similar triangles ABC and PQR, set up the proportion AB/PQ = DC/QR and solve for x.
Explanation:
To set up the proportion to solve for x in similar triangles ABC and PQR, we need to compare the corresponding sides. AB corresponds to PQ, so we can set up the proportion as follows:
AB/PQ = DC/QR
Substituting the given values, the proportion becomes:
18/12 = 24/(x-2)
Simplifying further, we can solve for x by cross multiplying and solving the resulting equation.
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The complete question is given below:
It is given that two triangles are similar, ABC and PQR. AB= 18 units and DC= 24 units. PQ= 12 units and QR= x-2 units. Set up a proportion to solve for x in the following similar triangles.
a. 18/24 = (x-2)/12
b. 18/12 = (x-2)/24
c. 18/12 = 24/(x-2)
d. 18/12 = 24/x - 2
Answer:
C
Step-by-step explanation:
I took the quiz and it was C! Hope this helps :)