L = 4w + 9.7
2l + 2w = 91.4
2(4w + 9.7) + 2w = 91.4
8w + 19.4 + 2w = 91.4
10w = 72
w = 72/10 = 7.2 cm
l = 4(7.2) + 9.7 = 38.5

Dimension = 38.5 by 7.2

Let x be the number of days for which the costs are the same, then
110 + 46x = 70 + 54x
54x - 46x = 110 - 70
8x = 40
x = 5
Therefore, it will take 5 days for the cost to be the same.

7 0

3 years ago

Find the value of the following expression:

Misha Larkins [42]

$(2^8*3^{-5}*6^0)^{-2}*( \cfrac{3^{-2}}{2^3} )^4*2^{28}\\ \\\\ = (\cfrac{2^8}{3^5}*1)^{-2} *( \cfrac{1}{3^2*2^3} )^4*2^{28}\\\\\\=( \cfrac{3^5}{2^8} )^2* \cfrac{1^4}{3^{2*4}*2^{3*4}} *2^{28}\\\\\\= \cfrac{3^{5*2}}{2^{8*2}} * \cfrac{1}{3^8*2^{12}} *2^{28}\\\\\\=\cfrac{3^{10}}{2^{16}} * \cfrac{2^{28}}{3^8*2^{12}}\\\\\\= \cfrac{3^{10}*2^{28}}{3^8*2^{16+12}} \\\\\\=\cfrac{3^{10}*2^{28}}{3^8*2^{28}} \\\\=3^{10-8}*2^{28-28}\\\\=3^2*2^0\\\\=9*1\\\\=9$

3 0

4 years ago

Read 2 more answers

Simplify.

Dafna11 [192]

Answer:

C. 2x^2-7x+7

Step-by-step explanation:

(3x^2-2x+2)-(x^2+5x-5) <em>Given</em>

From the given you will subtract like terms from both parenthesis.

3x^2-x^2=2x^2

-2x-5x=-7x

2-(-5)=7

6 0

3 years ago

2) Calculate the slope of a right triangle with a base of 8 cm and a height of 4 cm. [2 Marks]

hammer [34]

Answer:

slope=4root5

Step-by-step explanation:

H^2=b^2+ h^2

(8)^ +(4)^

= 64+16

H^ =80

H= ROOT 80

root(4*4*5)

=4root(5)

4 0

4 years ago