Answer:
Alan would need 13.2 gallons of gas to drive 286 miles.
Step-by-step explanation:
This question can be solved in a number of ways. First, you can find the unit rate, or the approximate amount of miles that Alan can drive per gallon of gas. Since we know that Alan drove 260 miles using 12 gallons of gas, we can divide the number of miles by the number of gallons to get the amount of miles per gallon: 260 ÷12 = 21.67miles per gallon. In order to find the amount of gas needed to drive 286, we take the total mileage divided by the unit rate: 286 ÷ 21.67 = 13.2 gallons. The other way to solve is using a proportion with a variable, for example: 260/12 = 286/x. Using cross-multiplication and divide, we get 260x = 3432, divide both sides of our equation by 260 to isolate the variable and solve for x = 13.2 Either method will result in the same answer.
Answer:
C. The factors had the same sign.
Step-by-step explanation:
Factors that had the same sign will have a positive product.
Two positive numbers will have a positive product.
For example, 3 times 3 is 9.
Two negative numbers will also have a positive product, because multiplying negative numbers by other negative numbers will cancel out the negative.
For example, -3 times -3 is 9.
So, C is correct
Answer:
they will have to help my mom at least you have the learner and I will be there at yung parang nag but I will not true I will be there at yung taong nagmamahal sayo nandito naman ako nag but I will be there for the interview on the way home me a call when your ready-made me to get you a game plsss lang po kay lola pa pa pa pa pa pa pa pa pa pa pa
Answer:
The weight of cat is <u>14 pounds</u> and the weight of kitten is <u>4 pounds</u>.
Step-by-step explanation:
Given:
Callie has a new kitten. It can weigh 3 pounds less than half the weight of Callie‘s cat. Together the cat and kitten weigh 18 pounds.
Now, to find the weight of each animal:
Let the cat's weight be 
And the kitten weight = 
Total weight of cat and kitten = 18 pounds.
Now, to set an equation to get the weight of each animal:
<em>Multiplying both sides by 2 we get:</em>
<em />
<em />
<em>Adding both sides by 6 we get:</em>
<em />
<em />
<em>Dividing both sides by 3 we get:</em>
<em />
<em />
<em>The weight of cat = 14 pounds.</em>
Substituting the value of 
to get the kitten's weight:
<em>The kitten's weight = 4 pounds.</em>
Therefore, the weight of cat is 14 pounds and the weight of kitten is 4 pounds.
Answer:
3 1/3
Step-by-step explanation:
<u>Step 1</u> is to look at the problem.
Here, you notice that the first two numbers have fractions that are quarters. The total of those two fractions is 1/4 + 3/4 = 4/4 = 1.
So, the sum of the first two numbers is ...
1 1/4 + 3/4 = 1 +(1/4 +3/4) = 1 +1 = 2
<u>Step 2</u> is to add the next mixed number, which has a fraction with a different denominator. Since you have no fractions to add at this point, the sum is just ...
2 + 1 1/3 = 3 1/3
_____
<em>Comment on adding fractions</em>
Generally, adding fractions requires you determine a common denominator. Often, you are asked to find the <em>least</em> common denominator, but that isn't necessary. Sometimes that can save the work of reducing the fraction that results, but sometimes it makes more work.
Here, a common denominator for fourths and thirds would be twelfths:
1/4 = 3/12
1/3 = 4/12
However, since adding the fourths results in an integer, no common denominator is necessary.
