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snow_tiger [21]
3 years ago
8

Last month, a cafe had 3200 customers. 600 of them ordered gluten-free meals. What percentage of the customers ordered gluten-fr

ee meals?
Mathematics
2 answers:
Alexus [3.1K]3 years ago
6 0

18.75%

Step-by-step explanation:

600÷3200=0.1875

0.1875=18.75%

kirill [66]3 years ago
4 0

Answer:

18.75%

Step-by-step explanation:

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Solving one step equations 28+12x=8x-4
Aneli [31]
28+12x=8x-4 \ \ |\ subtract\ 8x\ to\ both\ sides \\ \\ 28+12x-8x=8x-8x-4 \\ \\28+4x=-4 \ \ |\ subtract\ 28\ to\ both\ sides \\\\28-28+4x=-4-28\\\\4x=-32 \ \  | \ divide \ both \ sides\  by\  4\\\\x=-\frac{32}{4}\\\\x=-8
7 0
4 years ago
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An electronics company produces​ transistors, resistors, and computer chips. Each transistor requires 3 units of​ copper, 2 unit
Gala2k [10]

Answer:

475 transistors, 25 resistors and 50 computer chips can be produced.

Step-by-step explanation:

Let us consider, p = Number of transistors.

                           q = Number of resistors.

                            r = Number of computer chips.

The following three linear equations according to question,

3\times p + 3\times q + 2\times r = 1600\\2\times p + 1\times q + 1\times r = 1025\\1\times p + 2\times q + 2\times r = 625

The matrix form of any system, Ax = B

Where, A = Coefficient matrix

            B = Constant vector

            x = Variable vector

A = \left[\begin{array}{ccc}3&3&2\\2&1&1\\1&2&2\end{array}\right], x = \left[\begin{array}{ccc}p\\q\\r\end{array}\right], B = \left[\begin{array}{ccc}1600\\1025\\625\end{array}\right]

The inverse matrix, A^{-1} can be found by using the following formula,

           A^{-1} = \frac{1}{det A}\times (C_{A}) ^{T}

Where, det A = Determinant of matrix A.

                 C_{A} = Matrix of cofactors of A

Now, applying this formula to find A^{-1};

det A = \left[\begin{array}{ccc}3&3&2\\2&1&1\\1&2&2\end{array}\right] = 3\times(2-2)-3\times(4-1)+2\times(4-1) = -3

Here, det A\neq 0, thus the matrix is invertible.

C_{A} = \left[\begin{array}{ccc}(2-2)&-(4-1)&(4-1)\\-(6-4)&(6-2)&-(6-3)\\(3-2)&-(3-4)&(3-6)\end{array}\right] = \left[\begin{array}{ccc}0&-3&3\\-2&4&-3\\1&1&-3\end{array}\right] \\(C_{A}) ^{T} = \left[\begin{array}{ccc}0&-3&3\\-2&4&-3\\1&1&-3\end{array}\right] ^{T} = \left[\begin{array}{ccc}0&-2&1\\-3&4&1\\3&-3&-3\end{array}\right]

A^{-1} = \frac{1}{-3}\times\left[\begin{array}{ccc}0&-2&1\\-3&4&1\\3&-3&-3\end{array}\right]  \\ So, x= \frac{1}{-3} \left[\begin{array}{ccc}0&-2&1\\-3&4&1\\3&-3&-3\end{array}\right]\times\left[\begin{array}{ccc}1600\\1025\\625\end{array}\right]= \frac{1}{-3} \left[\begin{array}{ccc}-1425\\-75\\-150\end{array}\right] = \left[\begin{array}{ccc}475\\25\\50\end{array}\right]

So, p = 475, q = 25, r = 50.      

7 0
3 years ago
What is the volume of cubic centimeters in what will the total weight of grams?
Pani-rosa [81]

Solution:

Given:

r=2.5cm

The volume of a sphere is given by;

V=\frac{4}{3}\pi r^3

Hence, the volume of the truffles will be;

\begin{gathered} V=\frac{4}{3}\times\pi\times2.5^3 \\ V=65.45cm^3 \\  \\ To\text{ the nearest tenth,} \\ V=65.5cm^3 \end{gathered}

3 0
1 year ago
What is the greatest common factor of 8m , 36m3 , 12
soldi70 [24.7K]

There is no greatest common factor for this set of numbers.

Maybe you accidentally typed it wrong. If so please type in the correct information and I will be very happy to help you!

:)

3 0
3 years ago
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3 times the sum of 5 and 4 is subtracted from 30<br><br><br>Please help me I am confused ​
Zolol [24]

Answer:

- 3

Step-by-step explanation:

3 times the sum of 5 and 4 is subtracted from 30

i.e.,

3 × (5 + 4) - 30

3 × 9 - 30

27 - 30 = - 3

Thus, 3 times the sum of 5 and 4 is subtracted from 30 is equal to -3

<u>-TheUnknown</u><u>Scientist</u>

7 0
3 years ago
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