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3 years ago

Many 2/3 are in 9/8?"

Mathematics

1 answer:

77julia77 [94]3 years ago

5 0

Answer:

1.6875 2/3's are in 9/8.

Step-by-step explanation:

(9/8)/(2/3)=1.6875

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5(x+1)=3x-9 find x (please it’s due today)

Yanka [14]

5(x+1)=3x−9

Step 1: Simplify both sides of the equation.

5(x+1)=3x−9

(5)(x)+(5)(1)=3x+−9(Distribute)

5x+5=3x+−9

5x+5=3x−9

Step 2: Subtract 3x from both sides.

5x+5−3x=3x−9−3x

2x+5=−9

Step 3: Subtract 5 from both sides.

2x+5−5=−9−5

2x=−14

Step 4: Divide both sides by 2.

−14

x=−7

5 0

3 years ago

Read 2 more answers

A = 4 0 0 1 3 0 −2 3 −1 Find the characteristic polynomial for the matrix A. (Write your answer in terms of λ.) Find the real ei

Illusion [34]

Answer:

Step-by-step explanation:

We are given the matrix

$A = \left[\begin{matrix}4&0&0 \\ 1&3&0 \\-2&3&-1 \end{matrix}\right]$

a) To find the characteristic polynomial we calculate $\text{det}(A-\lambda I)=0$ where I is the identity matrix of appropiate size. in this case the characteristic polynomial is

$\left|\begin{matrix}4-\lambda&0&0 \\ 1&3-\lambda&0 \\-2&3&-1-\lambda \end{matrix}\right|=0$

Since this matrix is upper triangular, its determinant is the multiplication of the diagonal entries, that is

$(4-\lambda)(3-\lambda)(-1-\lambda)=(\lambda-4)(\lambda-3)(\lambda+1)=0$

which is the characteristic polynomial of A.

b) To find the eigenvalues of A, we find the roots of the characteristic polynomials. In this case they are $\lambda=4,3,-1$

c) To find the base associated to the eigenvalue lambda, we replace the value of lambda in the expression $A-\lambda I$ and solve the system $(A-\lambda I)x =0$ by finding a base for its solution space. We will show this process for one value of lambda and give the solution for the other cases.

Consider $\lambda = 4$ . We get the matrix

$\left[\begin{matrix}0&0&0 \\ 1&-1&0 \\-2&3&-5 \end{matrix}\right]$

The second line gives us the equation x-y =0. Which implies that x=y. The third line gives us the equation -2x+3y-5z=0. Since x=y, it becomes y-5z =0. This implies that y = 5z. So, combining this equations, the solution of the homogeneus system is given by

$(x,y,z) = (5z,5z,z) = z(5,5,1)$

So, the base for this eigenspace is the vector (5,5,1).

If $\lambda = 3$ then the base is (0,4,3) and if $\lambda = -1$ then the base is (0,0,1)

3 0

3 years ago

Solve this problem pls

lina2011 [118]

Answer:

1) 200.

Step-by-step explanation:

Men = 1/³

Women = ⅔

50 men, 100 women

2:1 women to men.

there are 200 people in total.

5 0

2 years ago

Read 2 more answers

mr burns class is taking a field trip to the planetarium. The trip will cost $27 for each student. There are 18 students in his

avanturin [10]

So, 27=30 and 18=20 rounded

so what you would do now is multiply 30 x 20 and you get $600

3 0

4 years ago

Read 2 more answers

On the scale drawing of a car, the length from bumper to bumper is 6 inches. The car's actual length, from bumper to bumper, is

baherus [9]

Answer:

$I=\frac{3}{8}\cdot F$ and $F = \frac{8}{3}\cdot I$ .

Step-by-step explanation:

Let I represent inches and F represent feet.

We have been given that on he scale drawing of a car, the length from bumper to bumper is 6 inches. The car's actual length, from bumper to bumper, is 16 feet.

We will use proportions to solve our given problem as:

$\frac{\text{Length on scale}}{\text{Actual length}}=\frac{6}{16}$