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Elina [12.6K]
2 years ago
15

Campbell's soup is creating a new soup label. if a can has a height of 6 in and a diameter of 4 in, how much material does campb

ell need for each soup label ?
Mathematics
1 answer:
nasty-shy [4]2 years ago
8 0
Assuming the soup label covers the entire surface of the can, we solve for surface area. S.A. = 2pi*r^2  + pi*d*h = 8pi + 24pi = 32pi

32pi
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5 0
3 years ago
2. A bag contains 25 paise coins and 50 paise Coins. The number of 25 paise coins is 6 times that of so paise Coins The total va
Karo-lina-s [1.5K]
<h2>~<u>Solution</u> :-</h2>

Here, it is given that the bag contains 25 paise coins and 50 paise coins in which, 25 paise coins are 6 times than that of 50 paise coins. Also, the total money in the bag is Rs. 6.

  • Hence, we can see that, here, we have been given the linear equation be;

Let the number of coins of 50 paise will be $ x $ and the number of coins of 25 paise will be $ 6x $ as given. . .

Hence,

x + 6x = 6

7x = 6

x =  \frac{6}{7}  \\

x = 1.1666667 \approx \: 2

  • Hence, the number of 50 paise coins will be <u>2</u>. And, 6 times of two be;

6(2)

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6 0
2 years ago
Simplify 5 square root of 7 end root plus 12 square root of 6 end root minus 10 square root of 7 end root minus 5 square root of
Sphinxa [80]
The simplest answer form would be -5 square root of 7 end root + 7 square roots of 6
4 0
3 years ago
g Given the system of equations: 15 c1 – 5 c2 – c3 = 2400 - 5 c1 + 18 c2 – 6 c3 = 3500 - 4 c1 - c2 + 12 c3 = 4000 (a) Calculate
denpristay [2]

Answer

(a)

A^{-1} = \frac{1}{3493}  \begin{pmatrix} 210 && -59 && -12 \\ 84 && 176 && 95 \\ 77 && -5 && 295 \end{pmatrix}

(b)

A^{-1} b = \begin{pmatrix} \frac{500}{7} \\\\ \frac{2400}{7} \\\\ \frac{2700}{7} \end{pmatrix}

Step-by-step explanation:

Remember that when you want to solve a problem like this, you express the equation as following

Ax = b

So, if you know the inverse of   A   then

x = A^{-1} b

For this case

A = \begin{pmatrix} 15 &&  5 && -1 \\ -5 && 18 && -6 \\ -4 && -1 && 12  \end{pmatrix}

Now for this case the inverse of A would be

A^{-1} = \frac{1}{3493}  \begin{pmatrix} 210 && -59 && -12 \\ 84 && 176 && 95 \\ 77 && -5 && 295 \end{pmatrix}

Then when you multiply with the vector solution

A^{-1} b =  \frac{1}{3493}  \begin{pmatrix} 210 && -59 && -12 \\ 84 && 176 && 95 \\ 77 && -5 && 295 \end{pmatrix} * \begin{pmatrix} 2400 \\ 3500 \\ 4000 \end{pmatrix} = \frac{1}{3493}  \begin{pmatrix} 249500 \\ 1197600 \\ 1347300 \end{pmatrix}\\\\\\= \begin{pmatrix} \frac{500}{7} \\\\ \frac{2400}{7} \\\\ \frac{2700}{7} \end{pmatrix}

So from that information you can conclude that  the solution to the system of equations is  x = 500/7   y = 2400/7  and z = 2700/7

7 0
3 years ago
A square is inscribed in a circle of diameter 12 millimeters. What is the area of the shaded region? A square is inscribed in a
bezimeni [28]

Answer:  A. (72π - 144) mm²

<u>Step-by-step explanation:</u>

A_{shaded}=A_{circle}-A_{square}\\\\\\A_{circle}=\pi \cdot r^2\\.\qquad \ =\pi \bigg(\dfrac{12\sqrt2}{2}\bigg)^2\\\\.\qquad \ =\pi (6\sqrt2)^2\\.\qquad \ =72\pi\\\\\\A_{square}=side^2\\.\qquad \quad =\dfrac{12\sqrt2}{\sqrt2}^2\\\\.\qquad \quad =12^2\\\\.\qquad \quad =144\\\\\\\large\boxed{A_{shaded}=72\pi-144}

7 0
3 years ago
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