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dmitriy555 [2]
3 years ago
10

Grace loves to eat salad how many salads can she put together if she can choose one from each of the following: two types of let

tuce, 4 types of vegetables and 7 types of dressing
Mathematics
1 answer:
Rama09 [41]3 years ago
6 0
# of salads possible = 2*4*7 = 56.
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Jeremy has 50 ft of fencing to enclose a rectangular-pen for his dog. He plans on using a side of his house for one side of the
kotykmax [81]

The dimensions such as length is 18 and width is 16 or length is 32 and width is 9 will produce an enclosed area of 288ft.

<h3>What is the dimension of length and width?</h3>

We know that,

P = l + 2w

50 = l + 2w

50 - 2w = l

A = l x w

288 = (50 - 2w)w

288 = 50w -2w²

2w² - 50w + 288

By dividing throughout by 2

w² - 25w + 144

This is in quadratic equation form.

By applying quadratic formula,

w = (-(-25) ± \sqrt{(-25)^{2}-4*1*144) / 2

w = (-(-25) ± 7)/2

w1 =  (-(-25) + 7)/2

w1 = (25 + 7) / 2

w1 = 16

w2 =  (-(-25) - 7)/2

w2 = (25 - 7) / 2

w2 = 9

By substituting the values in eq1,

A = l x w

if w = 16

288 = l x 16

l = 288/16

l = 18

if w = 9

288 = l x 9

l = 288/9

l = 32

The dimensions will be length is 18 and width is 16 or length is 32 and width is 9.

To learn more about area of rectangle refer to :

brainly.com/question/25292087

#SPJ1

3 0
1 year ago
5.3.24 A is a 3times3 matrix with two eigenvalues. Each eigenspace is​ one-dimensional. Is A​ diagonalizable? Why? Select the co
abruzzese [7]

Answer:

C. No. The sum of the dimensions of the eigenspaces equals nothing and the matrix has 3 columns. The sum of the dimensions of the eigenspace and the number of columns must be equal.

Step-by-step explanation:

Here the sum of dimensions of eigenspace is not equal to the number of columns, so therefore A is not diagonalizable.

5 0
3 years ago
Which equations have equivalent expressions?
Kazeer [188]

Answer:

A,D,E

Step-by-step explanation:

i. 2t+3t=6t

5t=6t

ii. 2a+2b=4ab

iii. x+3=4x

5 0
3 years ago
NEED HELP WILL GIVE BRAINLIEST!
lozanna [386]

Answer: a=60

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
PLS EXPLAIN HOW THESE SEQUNCE IS FORMED<br><br>ALL ODD NUMBERS
scoundrel [369]

Answer:

7,21,27,81,87, 261, 267....

Step-by-step explanation:

All odd number series from the given figure is

7, 21, 27, 81 , 87....

We can write this series as

7, 7 x 3 , (7x3)+6, ((7x3)+6)x3, (((7x3)+6)x3)+6....

7, 21, 21+6 , 27 x 3, 81+6...

Now, the next term of the series will be

=((((7x3)+6)x3)+6) x 3

= 87 x 3

= 261

And another term of the series will be

= 261 +6

= 267

7,21,27,81,87, 261, 267....

8 0
3 years ago
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