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Romashka [77]
2 years ago
12

Anybody please help me with question 3-5, thank you so much!!! You are a life saver :))))

Mathematics
1 answer:
Marta_Voda [28]2 years ago
7 0

Answer:

3) 109.27

4) 58.80

5) 48.65

Step-by-step explanation:

First divide the cost by the number of units to get the individual cost of each item.

Then multiply by the new number of units.

For example:  78.05 ÷ 5 = 15.61 for each.

                       15.61 x 7 = 109.27

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A rectangle has one side of 8 cm. How fast is the diagonal of the rectangle changing at the instant when the other side is 6 cm
lisov135 [29]
<h2>The diagonal is increasing at 1.8 cm/minute.</h2>

Step-by-step explanation:

Let l be one side,w be other side and s be diagonal.

We have

             s² = l² + w²

We have

          l = 8 cm

          w = 6 cm

           s² = l² + w²  

           s² = 8² + 6²

           s² = 100

           s = 10 cm

Taking derivative with respect to time in s² = l² + w²

           s^2=l^2+w^2\\\\2s\frac{ds}{dt}=2l\frac{dl}{dt}+2w\frac{dw}{dt}\\\\s\frac{ds}{dt}=l\frac{dl}{dt}+w\frac{dw}{dt}\\\\\frac{dw}{dt}=3cm/min\\\\\frac{dl}{dt}=0cm/min\\\\10\frac{ds}{dt}=8\times 0+6\times 3\\\\\frac{ds}{dt}=1.8cm/min

The diagonal is increasing at 1.8 cm/minute.

7 0
3 years ago
What does e represent in e/2=3
enot [183]

e represents 6

because 6/2=3

5 0
3 years ago
What is the value of the radical expression shown below?
avanturin [10]

Answer:

5/7

Step-by-step explanation:

Simplify the radical by breaking the radical up into a product of known factors.

7 0
3 years ago
Read 2 more answers
The area of a rectangular wall of a barn is 85 square feet. Its length is 12 feet longer than the width. Find the length and wid
MaRussiya [10]

Answer:

Length = 17 feet, Width = 5 feet

Step-by-step explanation:

Given:

The area of a rectangular wall of a barn is 85 square feet.

Its length is 12 feet longer than the width.

Question asked:

Find the length and width of the wall of the barn.

Solution:

Let width of a rectangular wall of a barn = x

<u>As length is 12 feet longer than the width.</u>

Length of a rectangular wall of a barn = 12+x

As we know:

Area\ of\ rectangle=length\times breadth

85=(12+x)x\\\\85=12x+x^{2} \\

Subtracting both sides by 85

x^{2} +12x-85=0\\x^{2} +17x-5x-85=0\\Taking\ common\\x+(x+17)-5x(x+17)=0\\(x+17)(x-5)=0\\x+17=0, x-5=0\\x=-17,x=5

As width can never be in negative, hence  width of a rectangular wall of a barn = x = 5 feet

Length of a rectangular wall of a barn = 12+x=12+5=17\ feet

Therefore, length and width of the wall of the barn is 17 feet and 5 feet respectively.

                 

4 0
3 years ago
5x=-4y+4;x= 1,2,3 solve equation then find value of y
nadezda [96]

x = 1 5(1)= -4y + 4 5= -4y + 4 -4.        -4  1 = -4y   y = -¼   x = 2...   10 = -4y + 4  6 = -4y  y = -3/2   x = 3..   15 = -4y + 4  11 = -4y  y = -11/4

7 0
3 years ago
Read 2 more answers
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