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myrzilka [38]
3 years ago
7

Kendra is choosing bouquets of flowers for table centerpieces. She decides to buy 40 bouquets for $120 because she thinks that p

rice is a better value than 40 bouquets for $2.50 each. Explain Kendra’s error.
Mathematics
2 answers:
gayaneshka [121]3 years ago
7 0
The better deal is purchasing 40 bouquets at 2.50 each because she would only be spending 100.00 instead of 120.00
Kisachek [45]3 years ago
4 0
Her error is that 40 Times 2.50 is cheaper than 120. 40 Times 2.50 is actually 100
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Simplificar as expressões<br><br> 7√32 - 5√2 + √8<br><br> 2√150 - 4√54 + 6√24
SIZIF [17.4K]
We try to represent each number inside the square root as a product of a square and another number.

a) 7√32 - 5√2 + √8

√32  = √(16 *2) = √16 * √2  = 4* √2 =  4√2

√8 = √(4 *2) = √4 * √2  = 2* √2 = 2√2

7√32 - 5√2 + √8 = 7*(4√2) - 5√2 + 2√2 =
      
                         = 28√2  - 5√2 + 2√2          Factorize out √2

                           = (28 - 5 + 2)√2  

                          =  25√2      

b)      2√150 - 4√54 + 6√24       

√150 = √(25 * 6) = √25 * √6 = 5*√6 = 5√6

√54 = √(9 * 6) = √9 * √6 = 3*√6 = 3√6

√24 = √(4 * 6) = √4 * √6 = 2*√6 = 2√6


2√150 - 4√54 + 6√24 = 2*(5√6) - 4*(3√6) + 6*(2√6)

                                = 2*5√6 - 4*3√6 + 6*2√6

                                = 10√6  - 12√6 + 12√6        Factorize √6

                               =  (10 - 12 + 12)√6

                               =  10√6
7 0
3 years ago
Read 2 more answers
A rectangular garden must have a perimeter of 160 feet and an area of at least 1300 square feet. Describe the possible lengths o
Morgarella [4.7K]

Answer: The lengths of the garden are 57.32 feet and 22.68 feet (approximately)

Step-by-step explanation: The area has been given as 1300 which means,

Area = L x W

1300 = L x W ———(1)

Also the perimeter has been given as 160, hence we also have

Perimeter = 2(L + W)

160 = 2(L + W)

80 = L + W ———(2)

From equation (2), make L the subject of the equation

L = 80 - W

Substitute for the value of L into equation (1)

1300 = L x W

1300 = (80 - W) x W

1300 = 80W - W^2

Rearranging the equation we now have;

W^2 - 80W + 1300 = 0

Since we cannot factorize we shall apply the quadratic equation formula to solve for W. Please refer to the attachment for details of this.

Having calculated the value of W to be either 57.32 or 22.68, we can now find the value of L as follows;

Substitute for the value of W into equation (1)

1300 = L x W

1300 = L x 57.32

Divide both sides of the equation by 57.32

22.68 = L.

(Note that if we take the other value of W which is 22.68, the value of L shall be 57.32)

Since the area of the rectangular garden must be AT LEAST 1300 square feet we shall use the exact values for;

Length = 57.32 feet

Width = 22.68 feet

3 0
3 years ago
Read 2 more answers
PLEASE HELP ME. THIS IS DUE TODAY
MakcuM [25]
I think it’s b it only makes since
4 0
3 years ago
Find the original price of a pair of shoes if the sale price is $28 after a 50% discount.
Grace [21]

Answer:

The original price was 56 dollars

Step-by-step explanation:

28 divided by 0.5 equals 56

8 0
2 years ago
What is the inverse of the function 9y - 6 = 3x ?
IgorC [24]

Answer:

Option (2)

Step-by-step explanation:

Given function is,

9y - 6 = 3x

y = \frac{3x+6}{9}

To find the inverse of the given function,

1). Substitute x in place of y and y in place of x.

x = \frac{3y+6}{9}

2). Now we have to solve this equation for the value of y.

9x = 3y + 6

3y = 9x - 6

y = (3x - 2)

Therefore, inverse of the given function is y = (3x - 2)

Option (2) will be the answer.

8 0
3 years ago
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