1 batch of muffins included 2/3 cups of raisins. We can use this to set a proportion: 1 : 2/3. That means for every 1 batch, she uses 2/3 cups of raisins.
Now, Ina made 2 1/2 batches. To find out how, we need to look at our proportion again: 1 : 2/3. Whatever operation you do to one side, you must do to the other. So, to get 2 1/2 batches, we need to multiply the left side of the proportion, which is 1 batch, by 2 1/2 to get 2 1/2 batches.
BUT, we also need to multiply the other side, 2/3 cups, by 2 1/2. We can start by converting this into an improper fraction, 5/2. (Because 1=2/2, so 2=4/2, and 4/2+1/2=5/2.) When multiplying fractions, you multiply the numerators together to get the new numerator, and the denominators to get the new denominator. 2*5=10, and 3*2=6. Our new fraction is 10/6. Since these are both divisible by 2, we simplify by dividing each side by 2 to get 5/3. Finally, we can convert this into a mixed number: 1 2/3. (Because 1=3/3 and 5/3 - 3/3 = 2/3, and 1 + 2/3 = 1 2/3.) This is the cups of raisins she used.
Answer: She used 1 2/3 cups of raisins.
2 would be the answer if you follow your order of operations the order of operations is parentheses exponents multiply divide whichever comes first and add and subtract whichever comes first and -6x with the exponent of 2 it can be turned into -36 cuz you're multiplying six two times then 8 * 4 is 32 and 3 * 6 is 18 so you would do -36 + 32 which would give you negative 4 then you're going to bring down the 18 then do -4 + 18 which would give you 4 then you're going to bring down the - 6 and do 4-6 and -6 -4 gives you positive 2
Binomial means there are two terms, so c²<span> − 16 is the answer
mononomial means there is only one term, so -8c is the answer
written in descending form means from the highest degree (exponent) to the lowest, </span>4x²<span> − 3x + 9 is the answer for question 3.
Question 4: use the same method for question 3, the third term is -7x
Question 5: not sure what this is: </span><span>2x2y. Is it 2x</span>²y or 2x2y?
you need to add up the exponent of x and y. In this case, the highest degree is y's 4th power plus x's 1st power, which makes a 5.
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find the slope of the two points written in the graph ( slope = rise. )
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Run
Answer:
the variable n represents how many of the product thomas bought
Step-by-step explanation:
20 dollars is the initial amount of money, and for every paintbrush, you have to subtract 4 dollars from thomas's initial amount, and the result of the subtraction is the amount of change he will recieve.
