Solve each system by elimination.
9a - 3d = 3 , -3a + d = -1

equation of the line that passes through the point (8,3) is

3 = -2 + c

The equation for a straight line is y=mx + c, where c is the height at which the line intersects the y-axis, also known as the y-intercept, and m is the gradient.

Since the equation of line is

y = mx + c

where m represents the slope

m = -1/4 (given)

and point for  which we have to find the equation is (8,3)

plugging each and every value in the equation

we get the equation of the line ,

           3 = -1/4 (8) + c

           3 = -2 + c

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If participation continues at the same rate, the participation in 2013 will be 5.75million i.e. 5750000 .

Slope(m) for given two points (x₁,y₁) and (x₂,y₂)  is calculated using the formula

m=(y₂-y₁)/(x₂-x₁)

In the given question ,we will take year as x coordinate and the participation as y coordinate.

Given " The participation in 2004 was 8milllion" , So

The point becomes (2004,8)

and "the attendance in 2006 was 8.5 million" So

the point becomes (2006,8.5)

Now as we have the two points (2004,8) &  (2006,8.5) ,

x₁=2004 , y₁=8 , x₂=2006 , y₂=8.5

slope can be calculated as

m=(8.5-8)/(2004-2006)

m=0.5/2

m=0.25

Hence , the rate of change is 0.25 million participants per year.

It is given in the question that rate of change remains constant.

To predict the attendance for the year 2013.

Let the attendance for the year 2013 be x.

we have (2004,8) and (2013,x)

let m=0.25, x₁=2004 , y₁=8 , x₂=2013 , y₂=x

m=(y₂-y₁)/(x₂-x₁)

Substituting the values above we get  

[tex]0.25=\frac{8-y}{2013-2004} \\ \\ 0.25=\frac{8-y}{9}[/tex]

By cross multiplying we get

[tex]0.25*9=8-y\\ \\ 2.25=8-y\\ \\ y=8-2.25[/tex]

[tex]y=5.75[/tex]

Therefore , If participation continues at the same rate, the participation in 2013 will be 5.75million i.e. 5750000.

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Answer:

Step-by-step explanation:

Use the distributive property to remove the parentheses. Then use the addition property of equality to move the variables to the left and the constants to the right. Then simplify both sides of equation. Divide -1.76 to both sides of equation to solve for d.

1.8(6.4d + 4) = 1.6(8.3d + 6.7)

11.52d + 7.2 = 13.28d + 10.72

11.52d -13.28d = 10.72 -7.2

-1.76d/-1.76 = 3.52/-1.76

d = -2

Answer: 12j+7g

Step-by-step explanation:

not sure

Answer: $2

Step-by-step explanation:

p=cost of pens

23-8p=7

23-23-8p=7-23

-8p=-16

p=$2

Answer: Campers: 7, 14, 28, 42

Adults: 1,2,5,30

Step-by-step explanation:

The mass when it is full of water will be 8,961 grams.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The spherical cover of a lamp has a mass of 780 g and a diameter of 25 cm. If you were to use it to carry water.

We know that the density of the water is 1 g / cm³. Then the mass of the water will be given as,

Density = mass / volume

1 = m / [(4/3)πr³]

m = (1/6) πd³

m = 8181 grams

The mass when it is full of water will be

⇒ 780 + 8181

⇒ 8,961 grams

The mass when it is full of water will be 8,961 grams.

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If M is the midpoint of AB  , Value of AB = 28

What is mid points of line?

If M is the midpoint of AB it means AM is equal to MB

AM = 3x + 8 and MB = 6x-4

and AB  = AM + MB

first find the value of x by using AM = MB

6x-4  = 8x-10

-4 + 10 = 8x - 6x

6 = 2x

x = 3

AB = 6( 3 ) - 4

= 18 - 4 = 14 = MB

AB = AM + MB

= 14 + 14

=  28

so, the value of AB is 28

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W is equal to -22

W=22

Answer:

-22

Step-by-step explanation:

First, lets flip the equation so That we can find W

-8 - 14 = W

The rules of math state that a negative minus a positive can be equal to that negative turned positive plus that positive, the answer turned negative

For example

8+14 = 22

-8-14 =-22

So this means W is -22

Lets check our work

-22+ 14 =-8

So the answer is true

Hope this helps!^^

Answer:

Step-by-step explanation:

-4x  ≥ 12  (Add 4 to both sides)

x  ≥  -3  (Divide each side by -4)

Answer: x≤-3

Step-by-step explanation:

[tex]-(4)x-4\geq 8\\-(4)x-(1)(4)\geq (4)(2)[/tex]

Divide both parts of the equation by 4:

[tex]-x-1\geq 2\\-x-1+x\geq 2+x\\-1\geq 2+x\\-1-2\geq 2+x-2\\-3\geq x[/tex]

The three inequalities are y ≤ 18 - x, x + y ≤ 1.50, and x > 4.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

Given that Rashaad has x dimes and y nickels having no less than 18 coins. The total amount is $1.50. The number of dimes is at least 4.

The inequalities formed by the given data are:-

y ≤ 18 - x,

x + y ≤ 1.50,

x > 4.

The graphical representation of the inequalities is shown in the attached graph below with the answer.

Therefore, the three inequalities are y ≤ 18 - x, x + y ≤ 1.50, and x > 4.

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Answer: 75-30

Step-by-step explanation:

15(5-2)=

(15 * 5) - (15 * 2)=       ==> multiply 15 by 5 and 2

75-30

Answer:

-16

4

9

19

29

Step-by-step explanation:

Whenever one of these questions comes up, just plug in whatever number is in the x column into the x in the problem above. Ex) for 3, you would want to turn 5x+4 into 5(3)+4, which is 19.

The equation relating the circumference (CA) of ®A to the circumference (CB) of ®B is a(CA) - b(CB) = 0.

A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object.

Now it is given that,

scale factor from ®A to ®B = b/a

⇒Ks = b/a

∵ Ks = A/B

By comparison we get,

A = b

and B = a

Thus, circumference (CA) of ®A = 2πr = 2πb

and, circumference (CB) of ®B = 2πr = 2πa

Dividing both we get,

circumference (CA) of ®A/circumference (CB) of ®B = b/a

by cross multiplication we get,

a * circumference (CA) of ®A = b * circumference (CB) of ®B

or, a * circumference (CA) of ®A - b * circumference (CB) of ®B = 0

or, a(CA) - b(CB) = 0

this is the required equation.

Thus, the equation relating the circumference (CA) of ®A to the circumference (CB) of ®B is a(CA) - b(CB) = 0.

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The answer is 5.12 easy as pie

According to the question, the crickets don't chirp at all at [tex]34[/tex] degrees or below [tex]40[/tex] degrees and at [tex]56[/tex] degrees they chirp about [tex]140[/tex] times per minute. And [tex]55[/tex] chirps per minute when crickets make at [tex]62[/tex] degrees.

What is the calculation rule?

The calculation rule is to consider chirp rate as input and temperature as output. Then count the number of chirps, divide it by four and add forty to it. Therefore, the standard formula can be written as:

Estimated temperature = [tex](\frac{1}{4} )[/tex] chirp rate+[tex]40[/tex]

This formula is a mathematical model, it predicts the chirp rate with different temperatures. In mathematics, the temperature depends on the chirp rate that means once the chirp rate value is known then the temperature calculation becomes easy.

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The second derivative is zero tells us nothing about stability.

What is a solution's equilibrium?

Differential equations can have solutions called equilibrium solutions when the derivative along those solutions equals zero. In other words, at that solution, the slope is a horizontal line.

Consider the following potentials:

U(x) = [tex]x^{4}[/tex]

U(x ) = [tex]x^{6 } - x^{4}[/tex]

U( x ) = [tex]x^{4} + x^{3}[/tex]

All three of these potentials have an equilibrium point at x=0. All three of these potentials are such that the second derivative of U(x) at this equilibrium point is zero.

However, you should convince yourself (perhaps by plotting these potentials) that in the first case the equilibrium is stable, in the second case it is unstable, and in the third case the equilibrium is, as you put it, "stable in one direction but unstable in the other".

The second derivative is zero tells us nothing about stability.

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Step-by-step explanation:

7(× - 3) > - 7

7× - 21 > - 7

7× > -7 + 21

7× > 14

______

7 7

× = 2

The probability that he will choose his phone number is 1/420.

we are given the phone number  555- 3703, which contains 7 digits : 3 5s, 2 3s, 1 0s, and 1 7s,

The formula for the probability of an event is:

no.of possible cases / total number of cases.

For the final  result, we need to find the  individual digits' probabilities and multiply them.

So, the probability of first digits: 3/7

    the probability of Second digits: 2/6

    the probability of third  digits: 1/5

    the probability of fourth digits: 2/4

    the probability of fifth digits: 1/3

     the probability of Sixth digits: 1/2

Therefore the  probability of picking up his phone number is

 = 3/7 * 2/6 *1/5 * 2/4 * 1/3 *1/2

 = 1/420

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Answer:the slope of a line it the angle/slope that that line is at

Step-by-step explanation: slope times width

Answer: well they are parallel to each other

Answer:

Step-by-step explanation:

Two lines perpendicular to the same line are ___ to each other.

Two lines perpendicular to the same line are parallel to each other.

Answer:

$56/7 = 8 She spent $8 on each marker, (that's a lot).

Step-by-step explanation:

Hope it helps

Answer:

So per $8 per marker

Step-by-step explanation:

$56 ÷ 7 =$8

If quadrilateral WXYZ is a rhombus and ∠XYZ = 110°, then ∠ZWY is equal to 110°.

Rhombus is a quadrilateral that is similar to a parallelogram since its opposite sides are parallel with each other and its opposite angles are equal. All four sides of a rhombus are of equal length and the diagonals bisect each other at 90°.

Rhombus has 4 interior angles whose sum is 360°. The opposite angles of a rhombus are equal to each other while the adjacent angles are supplementary.

∠XYZ is the opposite angle of ∠ZWY and opposite angles of a rhombus are equal to each other.

If the measure of ∠XYZ is 110°,

∠XYZ = ∠ZWY

110° = ∠ZWY

then the measure of ∠ZWY is also equal to 110°.

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For the given shirts and pants the cost of the 5 shirts and 2 pairs of pants will be $73.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that the shirts cost $9 each and the pants cost $12 a pair. They also charge $4 shipping and handling for each order. the cost of 5 shirts and 2 pairs of pants will be calculated as below:-

Cost = 9s + 12 p + 4

Cost = 9 ( 5 ) + 12 ( 2 ) + 4

Cost = 45 + 24 + 4

Cost = $73

Therefore, the cost of the 5 shirts and 2 pairs of pants will be $73.

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The 10th term of the geometric sequence as described in the task content is; 4.

It follows from the task content that the 10th term of the sequence is to.be determined.

On this note, since the 10th term differs from the 9th term by a factor of r, common ratio.

Hence; a(10) = a(9) × r

= 8 × (1/2)

a(10) = 4.

Ultimately, the 10th term is; 4.

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Answer:

12.5

Step-by-step explanation:

3.75 divided by 0.3 is equal to 12.5

so 4.5 divided by 0.3 is equal to 15

Answer:

12.5

Step-by-step explanation:

The coordinates of the midpoint of a segment with the given endpoints will be (-7.5, 3.5).

Let AB be the line segment and C be the mid-point of line segment AB. Let the coordinate of point A (x₁, y₁), the coordinate of point B (x₂, y₂), and the coordinate of the mid-point (x, y).

Then the coordinate of the mid-point of the line segment is given as,

(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]

The endpoints are A(-12, 2) and C(-3,5).

Then the coordinates of the midpoint of a segment with the given endpoints will be

(x, y) = [(- 12 - 3) / 2, (2 + 5) / 2]

(x, y) = (-15/2, 7/2)

(x, y) = (-7.5, 3.5)

The coordinates of the midpoint of a segment with the given endpoints will be (-7.5, 3.5).

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Answer: reciprocal property

Step-by-step explanation:

2 = 2/1 so flipped would be 1/2

Step-by-step explanation:

Normal distributions are symmetric around their mean. The mean, median, and mode of a normal distribution are equal. The area under the normal curve is equal to 1.0. Normal distributions are denser in the center and less dense in the tails.