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d1i1m1o1n [39]
3 years ago
9

How much do u need to subtract from 41/6 to make 6

Mathematics
1 answer:
dem82 [27]3 years ago
4 0
41/6-5/6 = 36/6
36/6= 6

So 5/6 would need to be subtracted to develop a fraction that divides to 6
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Tìm m để phương trình có 1 nghiệm duy nhất<br> x+2y-2z=2<br> 3x+7y-z=5<br> 2x+4y+mz=7
RSB [31]

Rewrite the system of equations in matrix form.

\begin{bmatrix}1&2&-2\\3&7&-1\\2&4&m\end{bmatrix} \mathbf x = \mathbf b

This system has a unique solution \mathbf x = \mathbf A^{-1}\mathbf b so long as the inverse of the coefficient matrix \mathbf A exists. This is the case if the determinant is not zero.

We have

\det(\mathbf A) = m+4

so the inverse, and hence a unique solution to the system of equations, exists as long as m ≠ -4.

4 0
3 years ago
A 10-ounce box of cereal cost $3. A 20-ounce box of the same cereal cost $5. A third box of the same cereal costs $8.
kvasek [131]

The number of ounces of cereal in the third box is 32.

<u>Explanation:</u>

Given-

10 oy box = $3

Price of 1 ounce box = $3/10

                                  = $0.3

20 oy box = $5

Price of 1 oy box = $5/20

                            = $0.25

Therefore, it is beneficial to buy a 20 oy box as it is comparatively cheaper than the 10 oy box.

Third box of cereal = $8

$5 is the price of 20 oy box

$8 will be the price of x oy box

So,

x = \frac{20}{5} X 8\\ \\x = 32

Therefore, the number of ounces of cereal in the third box is 32.

3 0
3 years ago
An ESTIMATE of 39% of 120
malfutka [58]

ANSWER: 46.8


39% of 120

The word "of" means multiplied. So you will have to multiply 39% x 120

To do that, first step is to change the percent (39%) into a decimal


39% = 0.39  (You move the decimal twice to the left, not right)

There's an invisible decimal behind 9 so ALWAYS move it twice.

= 39(.)⇒ 0.39


Then your final step is to multiply

120 x 0.39


    1 2 0

x 0 . 3 9   ← notice this decimal

_______                    ∨

 1 0 8 0                     ∨

+ 3 6 0 0                    ∨

_______                    ∨

  4 6 8 0          There's an invisible decimal before the 0. Move that decimal two times to                                  the left.   4680(.)⇒ 46.8


4 0
3 years ago
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Factor completely.<br> 3h^4+24h^3+21h^2. BRAINLIST PLEASE HELP FAST!!!
mote1985 [20]
<span> 3h2 • (h + 7) • (h + 1) is the simplified version.</span>
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3 years ago
A circular pool has a diameter of 40 feet and is surrounded by a wooden deck that has a width of 4 feet and a depth of 6 inches.
Dvinal [7]
40x4x6= 960 square inches
8 0
3 years ago
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