Keiko spent a total of $60
at the grocery store. Of this amount, she spent
$27
on fruit. What percentage of the total did she spend on fruit?

Answers

Answer 1

Answer: she spent 27 out of 60
27/60 = 0.45...multiply by 100 to get the percent 0.45(100) = 45%

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Factor the expression on the left side of the equation. Then solve the equation.x³ - 2x² - 5x = 0 -5, 0, 3 0, -1 ± √24 0, -1 ± √6 0, 1 ± √6

A catering service offers 12 appetizers, 9 main courses, and 7 desserts. A banquet chairperson is to select 8 appetizers, 8 main courses, and 6 desserts for a banquet. In how many ways can this be done?

Answers

$12-appetizers, \ 9- main\ courses, \ 7\ desserts\n \n selection:\ 8\ appetizers,\ 8\ main\ courses, 6\ desserts\n\na=the\ number\ of\ selection\ of\ appetizers:\n \n{12 \choose 8}= (12!)/(8!\cdot (12-8)!) = (12\cdot11\cdot10\cdot9\cdot8!)/(8!\cdot4\cdot3\cdot2) =11\cdot5\cdot9=495\n \nc=the\ number\ of\ selection\ of\ main\ courses:\n \n{9 \choose 8}= (9!)/(8!\cdot (9-8)!) = (9\cdot8!)/(8!\cdot 1) =9$

$d=the\ number\ of\ selection\ of\ desserts:\n \n{7 \choose 6}= (7!)/(6!\cdot (7-6)!) = (7\cdot6!)/(6!\cdot 1) =7\n \nthe\ number\ of\ selection\ sets\ the\ banquet:\n \na\cdot c\cdot d=495\cdot9\cdot7=31185$

[(12! / (8!*4!) ]* [9! / (8!*1!) ] * [ 7!/ (6!*1!)] = ( 12 * 11 * 10 * 9 / 4 * 3 * 2 * 1) * 9 * 7 = 45 * 11 * 9 * 7 = 31185 ways

Apples sell 5 for a $1.00 how much will 2 1/2 dozen cost

Answers

1 dozen=12

2 and 1/2 dozen means 12 times 2.5=24+6=30 apples

5sellfor1

we know that 5 times 6=30

5 for 1
times 6 both sides
30 for 6

$6 for 2 and 1/2 dozen

$6.00

if the length of certain rectangle is decreased by 4 cm and breadth is increased by 2 cm, it would result in a square of the same area. what is the perimeter of the original rectangle?

Answers

Answer:

To find the perimeter of the original rectangle, we first need to find the dimensions of the rectangle.

Let's assume the length of the original rectangle is L cm and the breadth is B cm.

According to the given information, if the length is decreased by 4 cm, the new length becomes (L - 4) cm. Similarly, if the breadth is increased by 2 cm, the new breadth becomes (B + 2) cm.

We are told that this new rectangle with dimensions (L - 4) cm and (B + 2) cm is actually a square with the same area as the original rectangle.

The area of a rectangle is given by length multiplied by breadth. So, the area of the original rectangle is L * B square cm.

The area of the new square is equal to the area of the original rectangle. Therefore, we can set up the equation:

(L - 4) * (B + 2) = L * B

Expanding the equation:

LB - 4B + 2L - 8 = LB

Simplifying the equation:

2L - 4B - 8 = 0

2L = 4B + 8

L = 2B + 4

Now that we have an equation relating the length and breadth of the original rectangle, we can find the perimeter.

The perimeter of a rectangle is given by the formula: 2 * (length + breadth).

Substituting the value of L from the equation above, we get:

Perimeter = 2 * [(2B + 4) + B]

Perimeter = 2 * (3B + 4)

Perimeter = 6B + 8

Therefore, the perimeter of the original rectangle is 6B + 8 cm.

Step-by-step explanation:

Which r-value represents the strongest correlation?–0.83
–0.67
0.48
0.79

Answers

The r-value that represents the strongest correlation is (a) - 0.83

How to determine the strongest correlation?

The correlation coefficient has its value to be from -1 to 1

The closer the value to 1 or -1, the stronger the correlation

-0.83 is closer to -1 than the other values closer to 1 or -1

Hence, the r-value that represents the strongest correlation is (a) - 0.83

Answers

$0, 1, 1, 2, 3, 5, 8, ... \ (Fibonacci\ sequence)\n\na_1=0,\na_2=1\na_n=a_(n-1)+a_(n-2)\ \ \ \Rightarrow\ \ \ a_8=a_7+a_6=7+5=13$

the next three terms are 13,21,34

if the sum of a number and two is doubled, the result is six less than three times the number. find the number. help me solve this, not great at math especially word problems thank you.

Answers

Let's call your number N.
The sum of a number and two is doubled: 2(N+2)
Six less than 3 times the number : 3N-6
The result is : =
Let's put it all together.

The answer is d)10.
Check your answer.
The sum of a number and two is doubled: 2(10+2)=24
Six less than 3 times the number : 3(10)-6=24
Good answer.

Final answer:

To solve the problem, create the equation 2(x + 2) = 3x - 6. Simplify the equation and solve for x to find the number.

Explanation:

To solve this problem, we can create an equation based on the given information. Let's call the number we're trying to find 'x'. The sum of the number and two can be written as (x + 2). Doubling this expression gives us 2(x + 2). 'Six less than three times the number' can be written as 3x - 6. So, we have the equation 2(x + 2) = 3x - 6. Solving this equation will give us the value of the number 'x'.

Expanding the equation, we get 2x + 4 = 3x - 6. Simplifying it further, we can subtract 2x from both sides to get 4 = x - 6. Adding 6 to both sides gives us 10 = x. Therefore, the number we're looking for is 10.