Round 10,386.145 to the nearest tenth

The simplified expression is -3M + 1

To simplify the expression M - (1/6) - 4M + (5/6), we can combine the like terms.

First, let's combine the terms with M:

M - 4M = -3M

Now, let's combine the constant terms:

(1/6) + (5/6) = (1 + 5)/6 = 6/6 = 1

Putting it all together, the simplified expression is:

-3M + 1

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he ended with 16

he earned 6 for mowing the lawn, so before mowing the lawn he had 16-6 =10

he spent half on pizza and had 10 left so allowance = 10*2 = 20

 he gets $20 a week for allowance

1st piece = x

 2nd piece = 3x-16

x +3x-16 = 136

4x-16 = 136

4x = 152

x = 152/4 = 38

 1st piece = 38 feet

 2nd piece = 136 -38 = 98 feet

Answer:

Perimeter: 2(3x+6)+ 2(2x-4)

X=9

Step-by-step explanation:

In order to create the expression you just have to remember that the perimeter of a rectangle equals 2 bases plus 2 sides, so the expression would be:

Perimeter: 2(heights)+ 2(bases)

Perimeter: 2(3x+6)+ 2(2x-4)

IN order to solve for X we just have to insert the value of perimeter, which is 94:

Perimeter: 2(3x+6)+ 2(2x-4)

94=2(3x+6)+ 2(2x-4)

94= 6x+12+4x-8

94=10x+4

94-4=10x

x=90/10

x=9

So the value of x would be 9.

The value of (2a - 2b)/(5a + 5b) can be simplified to c.

To find the value of (2a - 2b)/(5a + 5b) when the equation (a + b)/(a - b) = c is given, we can substitute the value of (a + b)/(a - b) with c. Rearranging the equation, we get:

(2a - 2b)/(5a + 5b) = c

Simplifying the expression, we have:

(2(a - b))/(5(a + b)) = c

So, the value of (2a - 2b)/(5a + 5b) is c.

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Answer:

D. As a semicircle, a trapezoid and two rectangles.  

Step-by-step explanation:  

Please find the attachment.

We have been given a composite figure. We are asked to decompose our given figure to determine its area.

Upon looking at attachment for our given composite figure, we can see that it consists one semicircle on top, one trapezoid in middle and two rectangles on bottom. So we can decompose our composite figure as a semicircle, a trapezoid and two rectangles.

Therefore, option D is the correct choice.

Answer:

Option (3) is correct.

The value of the given expression [tex]\frac{-3(7+5)}{3^2}+9(2)[/tex]  is 14.

Thus, option (3) is correct.

Step-by-step explanation:

Consider the given expression in the image given,

[tex]\frac{-3(7+5)}{3^2}+9(2)[/tex]

First solve for square term in the denominator,

[tex]3^2=3 \times 3 = 9[/tex]

Expression becomes,

[tex]\frac{-3(7+5)}{9}+9(2)[/tex]

Now solve for numerator,

7 +5 = 12 and -3(12) = -36

Expression becomes,

[tex]\Rightarrow \frac{-36}{9}+9(2)[/tex]

[tex]\Rightarrow -4+9(2)[/tex]

[tex]\Rightarrow -4+18[/tex]

[tex]\Rightarrow 14[/tex]

Thus the value of the given expression [tex]\frac{-3(7+5)}{3^2}+9(2)[/tex]  is 14.

Thus, option (3) is correct.

Using the substitution method, the solution to the system of linear equations is: x = -7 and y = 5.

The substitution method used in solving a system of linear equations involves substituting a variable for an expression into the other equation given.

Given the system:

2x − 3y = −29 - eqn. 1

x + 4y = 13 - eqn. 2

Rewrite eqn. 2

x = 13 - 4y

Substitute x = 13 - 4y into eqn. 1

2(13 - 4y) − 3y = −29

26 - 8y - 3y = -29

-11y = -29 - 26

-11y = -55

y = 5

Plug in the value of y into x = 13 - 4y:

x = 13 - 4(5)

x = -7

The solution is: x = -7 and y = 5

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The fraction that is greater than 1/2 and less than 3/4 is 2/3. This is demonstrated by placing these fractions on a number line, where 2/3 falls between 1/2 and 3/4.

The question is asking for a fraction that is both greater than 1/2 (or 0.5) and less than 3/4 (or 0.75). To find such fraction, we can consider fractions between these two numbers. A possible solution is 2/3 (or approximately 0.67) which is truly greater than 1/2 and less than 3/4.

Now, let's explain this visually. If you translate these fractions on a number line, 1/2 would be at the middle of the line, 3/4 would be three quarters way forward and 2/3 would be somewhere in the middle of these two fractions.

Consider the representation on a number line, 0 -> 1/2 -> 2/3 -> 3/4 -> 1. We see that 2/3 does fall in between 1/2 and 3/4.

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The norms and the inner product of f and g can be calculated using the given inner product definition and the knowledge that the norm of a vector (here, function) is the square root of its inner product with itself. Then, the cosine of the angle between f and g can be found by dividing their inner product by the product of their norms.

The problem is asking us to compute certain components in the context of a vector space of continuous functions, namely inner product ⟨f,g⟩, norms ‖f‖, ‖g‖, and angle between them for f(x) and g(x). Since the functions are given as f(x)=10x^2-3 and g(x)=6x-9, these can be used in the provided inner product definition ⟨f,g⟩=∫from 0 to 1f(x)g(x)dx.

The norm of a vector, in this case, the function f or g, is the square root of the inner product of the function with itself. The cosine of the angle α between the functions f and g is given by the ratio of the inner product of f and g to the product of their norms.

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Hi there!

This set you have given is not a definitive set, therefore there is not definitive answer that can be given. It is a indefinite set, which means that any set of integers can be put in as a solution to this set. Unless there are defining quantifiers then the set and solution are both infinite.

Your friend, ASIAX