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trasher [3.6K]
3 years ago
9

Question : 1/9X ⅝ + (½)³=

Mathematics
1 answer:
Flauer [41]3 years ago
8 0

Answer:

Step-by-step explanation: 1/9X ⅝ + (½)³ = 0.19

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Angelo bought a chain that is 4 yards long he wants to cut the chain into 5 equal length pieces how long will each piece of chai
Semmy [17]

Each piece = (4/5) yards

(4/5) yards * 3 feet = 2.4 feet each piece

which equals 2 feet 4.8 inches each


7 0
3 years ago
Create a matrix for this system of linear equations, The determinant of the coefficient matrix is
marin [14]

Answer:  The determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.

Step-by-step explanation:  The given system of linear equations is :

2x+y+3z=13~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\x+2y=11~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)\\\\3x+z=10~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)

We are given to find the determinant of the coefficient matrix and to find the values of x, y and z.

The determinant of the co-efficient matrix is given by

D=\begin{vmatrix}2 & 1 & 3\\ 1 & 2 & 0\\ 3 & 0 & 1\end{vmatrix}=2(2-0)+1(0-1)+3(0-6)=4-1-18=-15.

Now, from equations (ii) and (iii), we have

x+2y=11~~~~~\Rightarrow y=\dfrac{11-x}{2}~~~~~~~~~~~~~~~~~~~~~~~~~~(iv)\\\\\\3x+z=10~~~~~~\Rightarrow z=10-3x~~~~~~~~~~~~~~~~~~~~~~~~~(v)

Substituting the value of y and z from equations (iv) and (v) in equation (i), we get

2x+y+3z=13\\\\\Rightarrow 2x+\dfrac{11-x}{2}+3(10-3x)=13\\\\\Rightarrow 4x+11-x+60-18x=26\\\\\Rightarrow -15x+71=26\\\\\Rightarrow -15x=26-71\\\\\Rightarrow -15x=-45\\\\\Rightarrow x=3.

From equations (iv) and (v), we get

y=\dfrac{11-3}{2}=4,\\\\z=10-3\times3=1.

Thus, the determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.

3 0
3 years ago
Round to the nearest cent.<br> 5. $406.439
boyakko [2]

Answer:

406.4

Step-by-step explanation:

When rounding you only look at the number you're rounding and the one before it. In this case it would be the 4 and 3 after the decimal since we're rounding to the nearest cent. If the numbers before the one you're rounding are 0-4 then you leave the number the same. If the numbers are between 5-9 then you add one to the number. Since the number before 4 is between 0-4 you leave it as 4. But if it was between 5-9 then you'd change the 4 to 5.

7 0
4 years ago
freed a paid $126 for groceries this week. this was 1 1/4 as much as the paid the previous week. how much did she pay last week
Ulleksa [173]

Answer:

100.8 dollars

Step-by-step explanation:

126=1.25x

divide by 1.25

x=100.8

brainliest is appreciated

5 0
3 years ago
3k(k+10)=0 factor show steps please
liraira [26]

Answer: k=0 or k=−10

Step-by-step explanation: Let's solve your equation step-by-step.

3k(k+10)=0

Step 1: Simplify both sides of the equation.

3k2+30k=0

Step 2: Factor left side of equation.

3k(k+10)=0

Step 3: Set factors equal to 0.

3k=0 or k+10=0

k=0 or k=−10

3 0
3 years ago
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