#3. Write the slope-intercept equation of
the line.

Answer:

The slope is 2

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

x represents the amount of guests going to the birthday party, with the amount of money per guest being 12. You would multiply those two together, but as we do not know the total amount of guests, we keep it as a variable. 125 is the amount before the guests even know about the party, so therefore, you would need to use that equation.

Answer:

hi

Step-by-step explanation:

Answer:

The true statements are:

the first statement: Systems A and C have the same solution

the fourth statement: System C simplifies to 2x - 3y = 4 and 4x - y = 18

the fifth statement: Systems A and B have different soltuoins.

Explanation:

1) The first statement: systems A and C have the same solutiotn: TRUE

The fourth statement proves that that the two systems are equivalent which means that both have the same solution.

2) The second statement: All three systems have different solutions: FALSE

The fourth statement proves that the systems A and C have same solution, so this second statement is false.

3) The third statement: Systems B and C have the same solution: FALSE

You can solve the two systems and will find the solutions are different

Solution of system B.

3x - 4y = 5

y = 5x + 3

replace y = 5x + 3 in the first equation => 3x - 4(5x + 3) = 5

=> 3x - 20x - 12 = 5

=> - 17x = 5 + 12

=> -17x = 17

=> x = - 17 / 17

=> x = - 1

y = 5x + 3 = 5(-1) + 3 = - 5 + 3 = - 2

=> solution x = -1 and y = -2

Solution of system C.

2x - 3y = 4

12x - 3y = 54

subtract

4) fourth statement: System C simplifies to 2x - 3y = 4 and 4x - y = 18 by dividing the second equation by three: TRUE

Look:

Second equation of system C = 12x - 3y = 54

Divide by 3:

12x - 3y     54

----------- = -----

    3           3

Distributive property:

12x      3y      

------ - ----- = 18

  3        3

4x - y = 18, which is the same second equation of system A, so the system C simplifies to the same system A, which is 2x - 3y = 4 and 4x - y = 18.

5) The fifth statement: systems A and B have different solutions: TRUE

You can solve the two systems and will find the solutions are different

Solution of system A:

 2x - 3y =  4      

12x - 3y = 54           since it is equivalent to 4x - y =  18

-------------------

12x - 2x = 54 - 4      subtracting the first equation from the secon

10x = 50                  adding like terms

x = 5                        dividing by 10

From 2x - 3y = 4 => 3y = 2x - 4 = 2(5) - 4 = 10 - 4 = 6

=> y = 6 / 3 = 2

=> x = 5, y = 2

Solution of system B.

3x - 4y = 5

y = 5x + 3

replace y = 5x + 3 in the first equation => 3x - 4(5x + 3) = 5

=> 3x - 20x - 12 = 5

=> - 17x = 5 + 12

=> -17x = 17

=> x = - 17 / 17

=> x = - 1

Which is enough to prove that the two systems have different solutions.

Answer:

are this the answers?  

Step-by-step explanation:

The value of x is 16 degrees and the measure of the arc DFG for circles of homework 2 are 1 6.056 times radius of circle.

The property of straight angle says that, the angle of a straight line is equal to the 180 degrees.

It can also be define as the sum of all the angle made on the straight line is equal to the 180 degrees.

For the first problem, the line GE, which is the diameter of the circle has two angles over it (x-3) degree and (12x-25) degrees.

For the diameter GE the sum of these two angle will be equal to 180 degrees. Thus,

[tex](x-3)+(12x-25)=180\\x-3+12x-25=180\\13x-28=180\\13x=180+28\\x=\dfrac{208}{13}\\x=16^o[/tex]

The value of mDE will be equal to (12x-25) as it is verticle angle of mGF. Thus,

[tex]arcDE=(12x-25)\\arcDE=(12(16)-25)\\arcDE=167^o[/tex]

Similarly the value of mEF

[tex]arcEF=(x-3)\\arcEF=(16-3)\\arcEF=13^o[/tex]

Let the radius of the circle is R. Then the measure of arc DFG is equal to the sum of areDEF and arc GF. Thus,

[tex]arcDFG=\dfrac{2\pi R}{2}+\dfrac{2 \pi R \angle GHF}{360}\\arcDFG=\dfrac{2\pi R}{2}+\dfrac{2 \pi R (167^o)}{360}\\arcDFG=6.056R[/tex]

For the second problem, the angle MN and QO are equal due to the vertical angle property. Therefore,

[tex](10x-45)=(6x-1)\\10x-6x=-1+45\\4x=44\\x=11[/tex]

The value of mMN is,

[tex]MN=(10x-45)\\MN=(10(11)-45)\\MN=65^o[/tex]

The value of NP using the property of straight line for line segment MP can be given as,

[tex]NP=180-MN\\NP=180-65\\NP=115^o[/tex]

Thus, the value of x is 16 degrees and the measure of the arc DFG for circles of homework 2 are 1 6.056 times radius of circle.

Learn more about the a straight angle here;

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Answer:

7

Step-by-step explanation:

each wand = 2 so you add the wands and multiply the wands by 2

then you divide the answer to the last calculation by 4

which is 28 divided by 4

which = 7

The mean of the data is 7.

The simplest and most popular way to measure a mean or average is the arithmetic mean. It simply entails adding up a collection of numbers, then dividing that total by the total number of numbers in the series.

Given:

Glenda = 2 x 2= 4 wands

Tink = 3 x 2= 6 wands

Merry = 4 x 2= 8 wands

Gracie = 5 x 2= 10 wands'

So, Arithmetic Mean = (Sum of wands) / (Total number of wands)

                                  = (4+ 6 +8 + 10)/4

                                  = 28/4

                                  = 7

Hence, the mean is 7.

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Answer:

it is B the median hope this helps :)

Step-by-step explanation:

Answer:

A. Mean

Step-by-step explanation:

When there is an outlier, the mean is the best way to figure out the average. Median doesn't work because it determines the exact middle, and the outlier (that 2) would affect it greatly, and the mode doesnt work, because it is the value that apears most in the data set, but just because it appears most doesnt mean its the average. In this case the mode is 102, but that is not the average. I hope this helps :)

Answer:

20.4 cubic feet

Step-by-step explanation:

formula for the volume of a cone is (r^2xhxpi)/3

so, r= 14.4/2

(7.2x2.7xpi)/3

The volume of a right circular cone is 146.49 cubic foot.

The Volume of Right Circular Cone formula is defined as The volume of a cone is one-third of the product of the area of the base and the height of the cone.

The volume of a right circular cone is given by;

[tex]\rm Volume=\dfrac{1}{3}\pi r^h\\\\r = radius, \ h = height\\[/tex]

The volume of a right circular cone that has a height of 2.7 ft and a base with a diameter of 14.4 ft.

The radius of the cone is;

[tex]\rm Radius=\dfrac{diameter}{2}\\\\ Radius=\dfrac{14.4}{2}\\\\ Radius=7.2[/tex]

The volume of a right circular cone is;

[tex]\rm Volume=\dfrac{1}{3}\pi r^h\\\\ Volume=\dfrac{1}{3}\times 3.14 \times (7.2)^2\times 2.7\\\\Volume=146.49[/tex]

Hence, the volume of a right circular cone is 146.49 cubic foot.

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Answer:

x = 60

Step-by-step explanation:

We have, 45% • x = 27

or,  

45 /100  • x = 27

Multiplying both sides by 100 and dividing both sides by 45,

we have x = 27 •  100/ 45

x = 60

Answer:

r=8.5 in

Step-by-step explanation:

Using the formula

d=2r

Solving for r

r=d

2=17

2=8.5in

hope this helps.

Answer:

Step-by-step explanation:

A.)  x² + 1 = 2x − 3   Make the equation into ax² + bx + c = 0. Subtract 2x on both sides, and add 3 on both sides to set the equation equal to 0

x² + 1 - 2x + 3 = 2x - 2x - 3 + 3

x² - 2x + 4 = 0      

a = 1

b = -2

c = 4    This is not the answer because b = 2 not -2, and c = -4 not 4

B.) x² - 2x − 1 = 3     Subtract 3 on both sides to set the equation = 0

x² - 2x - 4 = 0

a = 1

b = -2

c = -4      This is not the answer because b = 2 not -2

C. x² + 2x - 1 = 3    Subtract 3 on both sides to set the equation = 0

x² + 2x - 4 = 0

a = 1

b = 2

c = -4    This is your answer

D. x² + 2x - 1 = -3      Add 3 on both sides to set the equation = 0

x² + 2x + 2 = 0

a = 1

b = 2

c = 2       This is not the answer because c = -4 not 2

Hope this helps       :)

Answer:

y = 57

Step-by-step explanation:

y α x

y = kx ; k = Constant of proportionality

81 = k* 54

k = 81/54

k = 1.5

Value of y when x = 38

y = kx

y = 1.5 * 38

y = 57

Hence, y = 57 when x = 38

Answer:

The answer is 54.23489

Step-by-step explanation:

Hope this helps

Answer:

36 miles per gallon (mpg)

Step-by-step explanation:

To solve this problem, you are going to divide the total miles driven by the total gallons of gas used. This will mean that you will divide 1008 miles by 28 gallons. This will result in a final answer of 36 miles per gallon. My work is below and please let me know if you have any questions!

1008 / 28 = 36 miles per gallon

Answer:

1 gallon = 36 miles

Step-by-step explanation:

In order to find out you need to divide 2008 miles by 28 gallons

Answer:

a) x= 5 or x= -3

b) x = -4 + [tex]\sqrt{26}[/tex] or -4 - [tex]\sqrt{26}[/tex]

Step-by-step explanation:

a) [tex]x^{2}[/tex] - 2x - 15 =0

x = [tex]\frac{-(-2) +\sqrt{(-2)^{2} - 4(1)(-15)}}{2(1)}[/tex]  or  [tex]\frac{-(-2) -\sqrt{(-2)^{2} - 4(1)(-15)}}{2(1)}[/tex]

x= 5 or x=-3

b) [tex]x^{2}[/tex] + 8x - 10 =0

x = [tex]\frac{-(8) +\sqrt{(8)^{2} - 4(1)(-10)}}{2(1)}[/tex]  or  [tex]\frac{-(8) -\sqrt{(8)^{2} - 4(1)(-10)}}{2(1)}[/tex]

x = -4 + [tex]\sqrt{26}[/tex] or -4 - [tex]\sqrt{26}[/tex]

Something happened when you copy and pasted the question, was it important to the question?

Answer:

3.

Step-by-step explanation:

Square root is the opposite of power. Simplify:

[tex]\sqrt{3 * 3 } = \sqrt{3^2} = 3[/tex]

3 is your answer.

~

Answer:

√{3×3}=√3²=±3 is your answer

Answer:

Number of dolphins in zoo * number of fish per dolphin.

Step-by-step explanation:

Hansen won the raffle At the zoo and gets to feed the dolphins! The dolphin trainer gives Hansen a bucket of fish to divide evenly among five dolphins. Each dolphin gets four fish. Which equation can you use to find the number of fish F in the bucket before hansen feeds them

Given that:

Number of dolphins = 5

Fish in bucket is distributed equally ; hence, Number of fish per dolphin = 4

To obtain the initial number of fish in bucket before hansen began to feed the fishes :

Number of fish in bucket before hansen feeds then :

Number of dolphins in zoo * number of fish per dolphin.

5 * 4 = 20

Answer:

26.0 in

Step-by-step explanation:

area = half base ×height

base=13÷2

=6.5

height=4

6.5×4

=26

Answer:

Basically adding in and subing the letters with the numbers given too you below

Step-by-step explanation:

2(2)+(-9-13)+14= -4

-(-2(-13)+16-(-9)2= -60

-3(-9)+(2-13)+4= 48

Answer:

HAHA

Step-by-step explanation:

NO

Answer:

10^22

Step-by-step explanation:

Answer:

sure is = 9023000000

Step-by-step explanation:

Answer: C: 50 feet

Step-by-step explanation: The area of the basketball is 4700 square feet. We know that one side of the court is 94 feet long. To find the area for a rectangle, the formula would be Area=base times height. The "height" of this rectangle is 94 feet long. Now we need to find the base.

If you divide 4700 by 94, you will end up with 50 feet. To check, you multiply 50 by 94 and should end up with 4700. 50 feet is your base length.

Answer:

x≥9

Step-by-step explanation:

I hope this helps you

Answer:

A. x ≥ 9

Step-by-step explanation:

To get the answer you first move all of the terms not containing a variable, to the right side of the inequality. This would cause you to add 3 and 6, giving you 9. To get your answer of x ≥ 9. Hope this helps... have a great day! :))

Answer: (-3, -8) (0, 1) (-3, -8)

Step-by-step explanation:

So in the equation, y=3x+1, 1 is the y intercept (which is where the line goes through the y intercept, so graph a point at 0,1 (that also fills out the middle of the chart. 3 is the slope of the equation so then you have to use the slope and you will find 2, 7 as a point and -3, -8 as a point.

Hope that helps! :)

Answer:

10 Ans.......

Step-by-step explanation:

Given:

=√200÷ 2

Solution:

= √200÷2

= √100

= 10 Answer......

Answer:

-6/7p+1/7

Step-by-step explanation:

-4/7p+(-2/7)+1/7

-4/7p-2/7p+1/7

-6/7p+1/7

Answer:

57.5

Step-by-step explanation:

(180-65)/2

Answer:

The correct answer is (-3,-7). This is because you can plug it in and the two sides are equal to each other. When you plug -3 in for x, you subtract for from it and get -7 since the y term is -7 the answer is -7=-7, thus (-3, -7) is the answer.

Step-by-step explanation:

Hope this helps     :)