We get that Shannon did not mix the correct shade as the ratios are not equal.
We are given that a particular shade of paint is made by mixing five parts of red paint with seven parts of blue paint.
This means that the ratio of the paints in that shade is
Red : Blue = 5 : 7.
Now, we are also given that to make the correct shade, Shannon makes 12 quarts of blue paint with 8 quarts of red paint.
Here the ratio becomes:
Red : Blue = 8 : 12
= 4 : 6
= 2 : 3
Now, since both the ratios are not equal, he did not mix the correct shade.
Therefore, we get that Shannon did not mix the correct shade as the ratios are not equal.
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Answer:
5 1/2 MILES
Step-by-step explanation:
$5.00-$.80=$4.20
4.20/.20=21/4= 5 1/4+1/4= 5 2/4 OR 5 1/2 MILES
Hope this help!
One-half a number (x) is equal to 14.
One-half: 1/2
a number x: multiplied by x
is equal to: =
1/2x = 14
If you were going to solve for it, divide both sides by 1/2.
x = 28
The inverse of matrix is (43, -11, 2).
<h3>What is inverse of matrix?</h3>
A matrix is a multidimensional generalization of the concept of reciprocal of a number: the product between a number and its reciprocal is equal to 1; the product between a square matrix and its inverse is equal to the identity matrix.
given equation:
x + 5y + 10z = 8
y + 4z = -3
x+6y + 15z = 7
The cofactors of the matrix is
C_11 = -9
C_12= 4
C_13=-1
C_21 = -15
C_22= 5
C_23 = -1
C_31= 10
C_32= -4
C_33= 1
The cofactor matrix is,
![\left[\begin{array}{ccc}-9 & 4 & -1\\-15 & 5 & -1\\10 & -4 & 1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-9%20%26%204%20%26%20-1%5C%5C-15%20%26%205%20%26%20-1%5C%5C10%20%26%20-4%20%26%201%5Cend%7Barray%7D%5Cright%5D)
The transpose of matrix,
![\left[\begin{array}{ccc}-9 & -15 & 10\\4 & 5 & -4\\1 & -1 & 1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-9%20%26%20-15%20%26%2010%5C%5C4%20%26%205%20%26%20-4%5C%5C1%20%26%20-1%20%26%201%5Cend%7Barray%7D%5Cright%5D)
The determinant of matrix is = 21.
The augmented matrix is attached below
Hence, the inverse of matrix is (43, -11, 2).
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Answer:
Leon (2.12), Jacon (2.40), Ashley (2.50), Mika (2.57)
Step-by-step explanation:
Putting a mix of rational and irrational numbers into numerical order can be done by using approximations to them of sufficient precision to be able to tell them apart.
Here, we can make the following approximations:
√17 -2 ≈ 2.12
1 +π/2 ≈ 2.57
Of course, the decimal value of 12/5 is 2.40, so the numbers will be arranged in order if Mika moves to the right end:
Leon (2.12), Jacon (2.40), Ashley (2.50), Mika (2.57)
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Your calculator can help with this.
