Solve the system of equations. − 3 x + 2 y = 56 − 5 x − 2 y = 24 ​ −3x+2y=56 −5x−2y=24 ​

Answer:

6

Step-by-step explanation:

Factors for 12: 1, 2, 3, 4, 6, 12

Factors for 54: 1, 2, 3, 6, 9, 18, 27, 54

It's 6.

The greatest common factor of the numbers 12 and 54 will be 6.

Given that:

Numbers, 12 and 54

The biggest chunk of the common factors is called the "Greatest Common Factor" (of two or more numbers).

The factors of the numbers 12 and 54 are calculated as,

12 = 2² x 3

54 = 2 x 3³

The value of the greatest common factor is calculated as,

GCF = 2 x 3

GCF = 6

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Answer: log(2) 512= 9

Step-by-step explanation:

A P E X ;)

In logarithmic form, the expression [tex]2^9 = 512[/tex] can be rewritten as follows:

[tex]log_{(2)}\ 512 = 9[/tex]

As we know that the logarithmic form allows us to express the exponent as the logarithm of the base to a certain value, which in this case is 9.

To understand this, let's break down the expression.

The base of the logarithm is 2, and the result of raising 2 to the power of 9 is 512.

By taking the logarithm of 512 to the base 2, we get the exponent, which is 9.

So, in logarithmic form can be written as:

[tex]log_{(2)}\ 512 = 9[/tex]

Therefore, in logarithmic form, the expression [tex]2^9 = 512[/tex] can be rewritten as follows:

[tex]log_{(2)}\ 512 = 9[/tex]

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Answer:

28

Step-by-step explanation:

-4×-4=16

3×4=12

12+16=28

Answer:

D

Step-by-step explanation:

7/2x-5+2/x-4 is the partial fraction decomposition of 11x-38/(2x-5)(x-4)

A fraction represents a part of a whole.

We need to write the partial fraction decomposition of 11x-38/(2x-5)(x-4)

(11x-38)/(2x-5)(x-4)=A/2x-5+B/x-4

11x-38=A(x-4)+B(2x-5)

11x-38=Ax-4A+2Bx-5B

We need to find the values of A and B

Compare the coefficients of x

11=A+2B

A=11-2B

Compare the constants

-38=-4A-5B

-38=-4(11-2B)-5B

-38=-44+8B-5B

-38=-44+3B

-38+44=3B

6=3B

Divide both sides by 3

B=2

Now A=11-2(2)=7

Hence, 7/2x-5+2/x-4 is the partial fraction decomposition of 11x-38/(2x-5)(x-4)

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Answer:

3

Step-by-step explanation:

The required coordinates of point B are (18, -15) where AB has endpoint A (2,13) and midpoint (10, -1).

The midpoint formula states that the coordinates of the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) are given by the formula (x₁ + x₂)/2, (y₁ + y₂)/2.

As per the question, we are given that AB has endpoint A (2,13) and midpoint (10, -1)

We can use these coordinates to find the coordinates of point B, which is the midpoint of line segment AB.

Let the coordinates of B would be (x, y)

Substituting the coordinates of points A into the midpoint formula gives us :

10 = (x+2)/2 ; -1 = (y+13)/2

20 = x +2 ; -2 = y + 13

x =  18 ; y = -15

Therefore, the required coordinates of point B are (18, -15).

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Answer:

true

Step-by-step explanation:

on a numberline, -45 is smaller than -32, so therefore -45 is to the left.

An inequality that represents the statement "on a horizontal number line, -45 is located to the left of -35" is -45 < -35.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The inequality uses the less than symbol, <, to indicate that one number is to the left of the other on the number line.

The number on the left side of the inequality is -45, and the number on the right side is -35. This inequality is true because -45 is indeed located to the left of -35 on the number line.

Thus, the inequality that expresses the phrase "on a horizontal number line, -45 is to the left of -35" is -45 < -35.

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The question seems to be incomplete the correct question would be:

On a horizontal number line, -45 is located to the left of -35.

Find an inequality that represents this statement.

Answer:

3

Step-by-step explanation:

Using the work rate formula (1/Holly's time) + (1/Jasper's time which is twice of Holly's time) = 1/ Total time taken by both

Answer:

0.2%

Step-by-step explanation:

18/9000×100%

now use calculator

Answer: 0.2 percent

Step-by-step explanation:

This is the number of people who were allergic to the shampoo/ total people

18/9000

Simplify!

1/500=0.02=0.2 percent of people

Answer:

(1,3)

Step-by-step explanation:

The solution is where the two lines intersect.

In this graph, it's (1,3)

Answer:

[tex]1\frac{7}{8}[/tex] or 15/8, 15/8 is an improper fraction

Step-by-step explanation:

or 15/8, but 15/8 is an improper fraction

Answer:

A.

Step-by-step explanation:

It has both in it, so its correct

Answer:   A

Step-by-step explanation:

81 -  1 1/5x [tex]\leq[/tex]  55   The first thing you could do is convert the mixed fraction into an improper fraction.

1 1/5 to an improper fraction is  -6/5  

Now rewrite the inequality as,

81 - 6/5x [tex]\leq[/tex] 55     Subtract 81 from both sides

-81               -81

-6/5x [tex]\leq[/tex] -26     Multiply both sides of the inequality by 5  

-6x [tex]\leq[/tex] -130         Divide both sides by -6 and the sign will me flip since your divide both sides by a negative number.

x  ≥  130/6    Convert 130/6 to a mixed fraction  

x ≥ 21  2/3

Answer:

Step-by-step explanation:

y=−3x+12

when x=0 then y=12 , the y intercept is (0,12)

when y=0 then -3x+12=0, -3x=-12, x=12/3=4

x intercept =(4,0)

Answer:

1/3 of the school in 5 minutes or in 15 minutes he will mop the whole entire school.

Step-by-step explanation:

=================================================

Work Shown:

1/3 of a classroom = 5 minutes

3*(1/3 of a classroom) = 3*5 minutes

1 classroom = 15 minutes

It takes the janitor 15 minutes to mop a full classroom.

The rate is expressed in units of classrooms per minute. This means we'll need to divide both sides by 15 to get

1 classroom = 15 minutes

1/15 classroom = 15/15 minutes

1/15 of a classroom = 1 minute

The janitor's rate is 1/15 of a classroom per minute.

Answer:

816 T-shirts

Step-by-step explanation:

16 boxes * 17 shirts = 272 shirts total in 16 boxes

272 shirts * 3 orders = 816 shirts

Answer:

b = 38

Step-by-step explanation:

The two angles form a 90 degree angle so they add to 90

b+52 = 90

Subtract 52 from each side

b+52-52 =90-52

b = 38

Answer:

38

Step-by-step explanation:

90-52=38

and the little box indicates it's a right angle which is 90 degrees

Answer:

25/7 I think not sure though

Answer:

1 : 4

Step-by-step explanation:

7 black : 28 blue = 7/28 ---> reduces to 1/4 ---> 1 : 4

The ratio between the black and blue pens  [tex]\dfrac{1}{4}[/tex] or 0.25 or 1:4.

Given to us,

Number of black pens box contains = 7,

Number of blue pens box contains = 28,

[tex]\bold{Ratio\ between\ the\ black\ and\ blue\ pens = \dfrac{Number\ of\ black\ pens\ box\ contains}{Number\ of\ blue\ pens\ box\ contain} }[/tex]

Putting in the values we get,

The ratio between the black and blue pens  [tex]=\dfrac{7}{28} = \dfrac{1}{4} =0.25[/tex],

Hence, the ratio between the black and blue pens  [tex]\dfrac{1}{4}[/tex] or 0.25 or 1:4.

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The number of people in the 25th annual parade in the town, can be found to be 203 people

The number of people that attend the town parade, has been increasing by 5% each year since the first year. In that first annual parade, 60 people showed up.

The number of people in the 25th parade can be found by the formula:

= Number of people in first parade x ( 1  + growth rate) ^ number of years

= 60 x ( 1 + 5% ) ²⁵

= 60 x 3.3863549408993848167083336666837

= 203 people

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Answer:

x+63=15x-21, 14x=84, x=6, based on that NMO=69 and LMO=69 because they must be =

Step-by-step explanation:

Answer:

80 degrees

Step-by-step explanation:

Triangle has 180 add the 2 you already have and subtract from 180

Answer:20

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

a=12 (height)

c=13 (hypotenous)

b=? (base)

By using Pythagoras theorm

We have, hypotenous sq=base sq+height sq

Let b =base SO, base sq=hypotenous Sq-height Sq

=>base Sq =13sq-12sq

Base Sq =169-144

Base Sq =25

Base =5 (shifting the sq)....

Hope it's helpful

To find the equation in point-slope of a line passing through two points, we can use the formula: [tex]y - y₁ = m(x - x₁)[/tex] Where (x₁, y₁) are the coordinates of one point, m is the slope of the line, and (x, y) are the coordinates of any other point on the line and  [tex]y-2-(x-5)[/tex] Therefore the correct option is D.

Given that the two points are (5,2) and (-1,-6), we can substitute these values into the formula: [tex]y - 2 = m(x - 5)[/tex](using point 1: ([tex]5,2)) y + 6 = m(x + 1[/tex]) (using point 2: (-1,-6)) Now, let's simplify the equation: y = mx - 5m + 2 (equation 1) y = mx + m - 6 (equation 2) From equations 1 and 2, we can determine that the expected point-slope equation will have the form y - 2 = m(x - 5),

which matches option D. Therefore, the correct point-slope equation of the line passing through the points (5,2) and (-1,-6) is: y - 2 = m(x - 5)

Hence the correct option is D

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Answer:

ok.

Step-by-step explanation:

y=-1/1x+4. hope this helped :))

Answer: y= -8/8x + 4

or y=-x+4

Step-by-step explanation: