10. Separate the number 38 into two parts so
that one number is 6 less than the other
number

Answer:

x = -7 2/3, y = 1 1/3 and z = 5 1/3.

Step-by-step explanation:

2x+4y+3z=6    .....  1

x-2y+z=-5        ...... 2

-x-3y-2z=-7      .......3

Add equations 2 and 3 to eliminate x:

-5y - z = -12   .....4

Multiply equation 2 by - 2:

-2x + 4y  - 2z = 10

Add this to equation 1:

8y + z = 16   ........ 5

Now add equation 4 to equation 5:

3y = 4

y = 4/3 = 1 1/3.

Now find z by substituting for y in equation 4:

-5(4/3) - z = -12

z = 12 - 20/3

z = 36/3 - 20/3 = 16/3 = 5 1/3.

Finally, we find x by substituting for y and z in equation 1:

2x + 4*4/3 + 3*16/3 = 6

2x = 6 - 16/3 - 16

2x =  18/3 - 16/3 - 48/3 = -46/3

x = 23/3 =  7 2/3.

Answer:

y-intercept: (0, -2)

x-intercept: (6, 0)

Step-by-step explanation:

The y-intercept is the value of y when x =0. Substitute 0 for x to find the y-intercept.

[tex]3x - 9y = 18[/tex]

[tex]3(0) - 9y = 18[/tex]

[tex] - 9y = 18[/tex]

[tex]y = - 2[/tex]

When x = 0, y = - 2 so the y-intercept is (0, - 2).

The x-intercept is the value of x when y = 0. Substitute 0 for y in the equation to find the x-intercept.

[tex]3x - 9y = 18[/tex]

[tex]3x - 9(0) = 18[/tex]

[tex]3x = 18[/tex]

[tex]x = 6[/tex]

When y = 0, x = 6 so the x-intercept is (6, 0).

Step-by-step explanation:

The variables can be represented as x and y for the two books.

y=3x+4

x+y=72

Use substitution or elimination to solve the problem. I would personally go with substitution, but its all personal preference.

[tex] \green {\boxed{Answer}}[/tex]

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Answer:

x = 60 degrees, y = 120 degrees, z = 30 degrees

Step-by-step explanation:

To solve this problem, we must first recognize that the triangle on the left is an equilateral triangle.  This means that all of its side lengths are equal, which in turn means that all of its angles have the same measure.  Since we know the sum of the interior angles of a triangle must be 180, we can write and solve the following:

x + x + x = 180

3x = 180

x = 60 degrees

Next, we should notice that one of the 60 degree angles is supplementary with angle y, which means that their sum should equal 180 degrees.  This lets us write the following equation:

y + 60 = 180

When we subtract 60 from both sides to solve, we get:

y = 120 degrees

Finally, we should notice that the triangle on the right is isosceles.  This means that two of the side lengths (and thus two of the angles) are equal.  This means that the unmarked angle must also measure z degrees since the side lengths corresponding to these two side lengths are equal.  From this information we can write the following equation:

y + z + z = 180

If we substitute the value for y and solve, we get:

120 + 2z = 180

2z = 60

z = 30 degrees

Therefore, the correct answer is x = 60 degrees, y = 120 degrees, and z = 30 degrees.

Hope this helps!

Answer:

[tex]6x^{2} +x-12[/tex]

Step-by-step explanation:

All you need to do is multiply equation B by 2 and multiply equation A by 3, then put an addition sign between them and combine like terms after you've distributed what you needed for each one.

Answer:

A) 3.996 inches

B) 0.01

C) option B

Step-by-step explanation:

Note: The diameter of the lid is between : 3.95 and  4.05

A) calculate the supplier set mean diameter

std = 0.02 inch

P( x < 3.95 ) = 1% = 0.01

= P ( Z < [tex](\frac{3.95 - u }{0.02})[/tex] ) = P ( Z < -2.3263 ) = 0.01

therefore :

[tex](\frac{3.95 - u }{0.02})[/tex]  = -2.3263

hence : u = 3.996 inches ( mean diameter )

B) At mean diameter = 3.98 calculate the value of std

P ( X < 3.95 ) = 0.01

= P ( Z < [tex]( \frac{3.95-3.98 }{std } )[/tex] )  = P ( Z < -2.3263 ) = 0.01

therefore

[tex]( \frac{3.95-3.98 }{std } )[/tex] = -2.3263

hence std = 0.01 inch

C) option B is preferable because its mean diameter is smaller and  the percent of lids too large to fit is considered more carefully using option B

When i did that sort of thing i had a trick. But you are correct.

Answer:

She can make almost 1 phone call in an hour (particularly, 46 minutes of call per hour)

Step-by-step explanation:

This problem can be solved by using ratios and proportions.

Step 1: Identify the "knowns" from the "unknown."

It is known that Daisy can make 6 phone calls in 13 hours. Now, the problem is asking for the number of phone calls Daisy can make in 1 hour.

The "unknown" here is the number of phone calls Daisy can make in 1 hour.

Step 2: The values should be plug into the proportion.

             [tex]\frac{6 phone calls}{13 hours}[/tex] = [tex]\frac{x phone calls}{1 hour}[/tex]

Step 3: We can now solve the proportion.

[tex]\frac{6}{13}[/tex] = [tex]\frac{x}{1}[/tex] ⇒x = 0.46 calls per hour (almost 1 call per hour)

Answer:

divide the fractions

Step-by-step explanation:

lets say we have 23/5

we can divide 23 by 5 and get a decimal of 4.6

or lets say we got 1/5

divide 1 by 5 and you will get 0.2

Answer:

-1 3/5

Step-by-step explanation:

2÷5 × -4

Work from left to right

2/5 * -4

-8/5

-1 3/5

-3 > n is the same as n < -3 after you flip both sides and flip the inequality.

To graph this, we place an open hole at -3 on the number line. Then we shade to the left to indicate all values smaller than -3. The open hole says "the endpoint is not included". This is because -3 is not smaller than itself.

We would have a filled in circle if we had "or equal to" as part of the inequality, but we don't.

The graph is shown below.

Step-by-step explanation:

[tex]14y - 2 = 40 > > 14y = 42 > > y = 3[/tex]

Answer:

y=3

Step-by-step explanation:

Remember PEMDAS

Answer:

Yes me too! Except I watch movies because I have a feeling they won't be there tomorrow lol

Step-by-step explanation:

Step-by-step explanation:

5:1 and 15:3 is equivalent because 5 ⋅ 3 = 15, and 1 ⋅ 3 = 3.

10.2 ⋅ 2.5 = 2.5.5 (This wasn't put into a ratio form.)

198:1,287 and 2:13 are equivalent because 198/99 = 2, and 1,287/99 = 13.

Answer:

Step-by-step explanation:

0.416<0.42

because minimum value of 0.42=0.420

and 0.416<0.420

Answer:

81x4 = (9x^2)^2, 121a6 = (11a^3)^2, 0.09y12 = (0.3y^6)^2, 4/9b6 = (2/3b^3)^2

Step-by-step explanation:

sqrt of 81 = 9, (we do sqrt because its the inverse to exponents) x^4, x^2 * x^2 = (9x^2)^2

sqrt of 121 = 11, a^6, a^x * a^2 = a^6, x = 3, (11a^3)^2

sqrt of 0.09 = 0.3, y^12 = y^x * y^2, x=6,(0.3y^6)^2

sqrt of 4/9 = 2/3, b^x * b^2 = b^6, x = 3, (2/3b^3)^2

^ = power, * = multiplication

Answer:

C.-2

Step-by-step explanation:

The vertex is at (3,-2), this can find the lowest range because since both sides of the function go up from this point there will be no points beneath it. Since the range is Y value the minimum would be -2 because this is the Y value of the vertex. You can check the graph to prove this because there are not any y-values equal to less than -2.

Answer:  x + 4y = 26 Slope = -0.500/2.000 = -0.250

 x-intercept = 26/1 = 26.00000

 y-intercept = 26/4 = 13/2 = 6.50000

Step-by-step explanation: x + 4y = 26

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 6.500 and for x=2.000, the value of y is 6.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 6.000 - 6.500 = -0.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -0.500/2.000 = -0.250

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  x+4y-26  = 0 and calculate its properties

Notice that when x = 0 the value of y is 13/2 so this line "cuts" the y axis at y= 6.50000

 y-intercept = 26/4 = 13/2  =  6.50000

When y = 0 the value of x is 26/1 Our line therefore "cuts" the x axis at x=26.00000

 x-intercept = 26/1  = 26.00000

3x – 4y = 30 Slope = 1.500/2.000 = 0.750

 x-intercept = 30/3 = 10

 y-intercept = 30/-4 = 15/-2 = -7.50000

Notice that when x = 0 the value of y is 15/-2 so this line "cuts" the y axis at y=-7.50000

 y-intercept = 30/-4 = 15/-2  = -7.50000

y = 0 the value of x is 10/1 Our line therefore "cuts" the x axis at x=10.00000

 x-intercept = 30/3  =  10

Answer:

What is the best window range for the x-values to determine the solution?

x-min=-10, x-max = 15

What is the best window range for the y-values to determine the solution?

y-min= 0, y-max = 5

What is the exact solution to the system of equations?

(14, 3)

Answer:

21

Step-by-step explanation:

Answer:

Point D

because you go 5 to the right and 3 down.

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Answer: 7

Step-by-step explanation: because

Answer: strength used in an action - like lifting weights

Step-by-step explanation:

Force brings about the change in the motion or velocity of a particular object.

Force can be either a push or a pull. For example, when an individual goes to the gym and lifts a weight, the strength applied can also be referred to as a force as it causes a change in the position of the weight.

Answer:

-2

Step-by-step explanation:

-5 + -7 = -12

-12 + 4 = -8

-8 + -4 = -12

-12 + 10 = -2

Answer:

Answer:

-5

Step-by-step explanation:

7-4+2-10= -5

Step-by-step explanation: