Denise has 1/2cup of vegetable oil that she will use in making several batches of cookies. Each batch requires 1/8 cup of vegetable oil. evaluate the expression below to find the number of batches of cookies Denise will make
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1/2=4/8
Then divide.
(4/8)/(1/8)=(4)/(1)=4.
Notice that the denominators cancel each other out. You then have whole numbers that divide easily.
The answer is that Denise can make 4 batches of cookies on 1/2 cup of vegetable oil.
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(8)2 − (3x)2
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Answers
Answer: Third option.
Step-by-step explanation:
By definition, the number 64 and the number 9 are perfect squares.
A perfect square it that number obtained by squaring a whole number.
In this case, 64 is obtained by squaring the number 8 and the number 9 is obtained by the squaring the number 3. Then:
Therefore, you can rewrite the expression as following:
This matches with the third option.
EXPLANATION
The given expression is
Rewrite to get:
Recall that
We apply this property of exponents to the second term.
This gives us
The third choice is correct.
Whose chili is spicier?
Chili powder (\text{t})(t)left parenthesis, t, right parenthesis Tomato sauce (\text{c})(c)left parenthesis, c, right parenthesis
444 3.53.53, point, 5
888 7.07.07, point, 0
121212 10.510.510, point, 5
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Jack's
(Choice B)
B
Marsha's
(Choice C)
C
They are equally spicy.
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Final answer:
The spiciness of chili is determined by comparing the proportion of chili powder to tomato sauce. Jack consistently uses 222 teaspoons of chili powder per cup of sauce, whereas Marsha's ratio varies, but never exceeds 126.86 teaspoons per cup. Therefore, Jack's chili is spicier.
Explanation:
To determine whose chili is spicier, we must compare the ratio of chili powder to tomato sauce used by Jack and Marsha. Jack uses 222 teaspoons of chili powder for every 1 cup of tomato sauce. For Marsha, we'll have to establish the ratios based on her table.
- When Marsha uses 444 teaspoons of chili powder, she uses 3.5 cups of tomato sauce. So, her ratio for this batch is 444/3.5 = 126.86 teaspoons of chili powder per cup of sauce.
- When Marsha uses 888 teaspoons her ratio is 888/7 = 126.86 teaspoons per cup.
- When she uses 1212 teaspoons, her ratio is 1212/10.5 = 115.43 teaspoons per cup.
Regardless of the quantity she makes, Marsha's ratio never goes below 115.43, which is less than Jack's ratio of 222. So, Jack's chili is spicier than Marsha's.
Learn more about Ratio Comparison here:
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Always remember the concept that if you transpose "+" sign to the other side, it becomes "-" sign, and vice versa. Make sure that you arrange the like terms and constants. Solving the equation,
6d + 1 = 15 - d
6d + d = 15 - 1
7d = 14
d = 14/7 = 2
When transposing a multiplication, you divide it to the other side.
Verifying the solution,
6(2) + 1 = 15 - 2
12 + 1 = 13
13 = 13
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4/5 because 12/15 was simplified using 3.
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In addition to fraction notation, decimal notation is another way to write numbers between 0 and 1. Decimals can also be used to write numbers between any two whole numbers. For example, you may have to write a check for $2,003.38. Or, in measuring the length of a room, you may find that the length is between two whole numbers, such as 35.24 feet. In this topic you will focus on reading and writing decimal numbers, and rewriting them in fraction notation. To read or write numbers written in decimal notation, you need to know the place value of each digit, that is, the value of a digit based on its position within a number. With decimal numbers, the position of a numeral in relation to the decimal point determines its place value. For example, the place value of the 4 in 45.6 is in the tens place, while the place value of 6 in 45.6 is in the tenths place.