(17 Points) Kenzie makes quilts with some blue squares and some green squares. The ratio of blue squares to green squares is shown in the diagram.

Answer:

(5 , 11)

Step-by-step explanation:

[tex]Equation\ 1\\\\\y=3x-4\\\\Equation\ 2\\\\\y=\frac{2}{5}x+9[/tex]

There are three ways to solve the systems of linear equations

1) Elimination method - where we add/subtract the equations to eliminate the variable

2) Substitution method - where we substitute one variable in the form of another variable

3) Graphing method - where we sketch the graphs of both the equations and if they intersect that point would be the solution and if they don't there is no solution

We use the second method the Substitution method which is the easiest in my opinion.

Here we got two equations so lets just substitute equation 1 with equation 2 meaning insert equation 1 into equation 2 like here:

[tex]3x-4=\frac{2}{5}x+9[/tex]

as you can see here we eliminated the variable y by substituting y in terms of x.

Now we just solve the equation algebraically

[tex]3x-4=\frac{2}{5}x+9\\3x-\frac{2}{5}x=9+4\\\frac{15x-2x}{5} =13\\\\\frac{13x}{5}=13\\\\13x=65\\x=65/13\\x=5\\[/tex]

The value of x is 5 now to find the value of y we insert the value of x in any two equations lets insert the value of x into equation 1

[tex]y=3x-4\\y=3(5)-4\\y=15-4\\y=11[/tex]

so the solution of the system of linear equations is (5 , 11)

Answer:

3 milkshakes and 3 sundaes

Step-by-step explanation:

3 * 5 = $15 + 3 * 2 = $21

Answer:

16.65$

Step-by-step explanation:

Answer:

16.65

Step-by-step explanation:

Answer:

20 granola bars

Step-by-step explanation:

Answer:

The coordinates of B is (-8,-5).

Step-by-step explanation:

The midpoint of line AB is M. The coordinate of M is (-6,-4).

The coordinates of A is (-4,-3)

We need to find the mid point of B.

If M(x,y) is the midpoint of the coordinates (x₁,y₁) and (x₂,y₂). The mid point theorem is used as follows :

[tex]M(x,y)=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]

Let the mid point of B is (x₂,y₂). Put (x,y) = (-6,-4), (x₁,y₁) = (-4,-3).

[tex](-6,-4)=(\dfrac{-4+x_2}{2},\dfrac{-3+y_2}{2})\\\\\dfrac{-4+x_2}{2}=-6\ \text{and}\ \dfrac{-3+y_2}{2}=-4\\\\-4+x_2=-12\ \text{and}\ -3+y_2=-8\\\\x_2=-12+4\ \text{and}\ y_2=-8+3\\\\x_2=-8\ \text{and}\ y_2=-5[/tex]

So, the coordinates of B is (-8,-5).

The coordinates of B are (-8, -5).

Given that,

The midpoint of AB is M(-6, -4). If the coordinates of A is (4,-2),

We have to determine,

The coordinates of B.

According to the question,

The midpoint of line AB is M. The coordinate of M is (-6,-4).

And the coordinates of A is (-4,-3)

If M(x, y) is the midpoint of the coordinates (x₁, y₁) and (x₂, y₂). The midpoint theorem is used as follows :

[tex]M(x, y) = ( \dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2})[/tex]

Let the midpoint of B be (x₂, y₂).

M (x, y) = (-6,-4), and (x₁, y₁) = (-4,-3).

[tex]M(-6, -4) = ( \dfrac{-4+x_2}{2}, \dfrac{-3+y_2}{2})\\\\[/tex]

Solving the equation for the co-ordinate B.

[tex]\dfrac{-4+x_2}{2} = -6\\\\-4 + x_2 = -6 \times 2\\\\-4 + x_2 = -12\\\\x_2 = -12+4\\\\x_2 = -8[/tex]

And,

[tex]\dfrac{-3+y_2}{2} = -4\\\\-3 + y_2 = -4 \times 2\\\\-3 + y_2 = -8\\\\y_2 = -8 + 3\\\\y_2 = -5[/tex]

Hence, The required coordinates of B are (-8, -5).

To know more about Geometry click the link given below.

https://brainly.com/question/20261153

Answer:

x = 15

y = 19

The value of the x and y are; 11/6, -5 and  18/4 in the linear equation.

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.

From the given parameters;

The equations are;

(4y - 18)

(6x - 11)

(x + 5)​

Now put all equation equal to zero.

Then;

4y - 18 = 0

y = 18/4

And then;

6x - 11 = 0

x = 11/6

And

x + 5 = 0

x = -5.

Hence, In the linear equation, value of the x and y are 11/6, -5 and  18/4.

Learn more about linear equation here;

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Answer:

k = 5

Step-by-step explanation:

First, add 3 to both sides;

[tex]7k = 35[/tex]

Divide by 7:

[tex]\frac{7}{7}k = \frac{35}{7}\\k = 5[/tex]

Now, let's check our answer:

[tex]7(5) - 3 = 32\\35 - 3 = 32\\32 = 32[/tex]

I hope this helps!!

If you have any questions feel free to ask!

- Kay :)

Answer:

7/10 *10/10 is 70/100 or 7/10 so equal

Step-by-step explanation:

the product is 7/10.

it is 10/10which simplifies to 1(divide by 10)

so it wouldn't change

Hope this helsp zpl hit hte crown :D

Answer:

C

Step-by-step explanation:

You are right

Answer:

will i think that's true

Step-by-step explanation:

I hope this helps you

Answer:

I think that it is yes

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

tel:+18446450594

Step-by-step explanation:

CP=RS20

SP=RS24

NOW ‚

Profit=SP-CP

=Rs24-Rs20

=Rs4

Answer:

25

Step-by-step explanation:

Answer:

The 95%  confidence interval is

           [tex] 5.92  <   \mu  <  7.284 [/tex]

Step-by-step explanation:

From the question we are told that

  The data is  6.5   6.7    7.2    6.4    7.3

Generally the sample  mean is mathematically represented as

         [tex]\= x = \frac{\sum x }{n}[/tex]

=>      [tex]\= x = \frac{ 5.5 + 6.5 + \cdot 7.3 }{ 6}[/tex]

=>      [tex]\= x = 6.6[/tex]

Generally the standard deviation is mathematically represented as

         [tex]\sigma = \sqrt{ \frac{ \sum (x_i - \= x )^2 }{ n-1} }[/tex]

=>      [tex]\sigma = \sqrt{ \frac{ (5.5 - 6.6 )^2 +(6.5 - 6.6 )^2 + \cdot + (7.3 - 6.6 )^2 }{ 6-1} }[/tex]

=>      [tex]\sigma = 0.6512[/tex]

Gnerally the degree of freedom is mathematically represented as

         [tex]df = n- 1[/tex]

=>       [tex]df = 6 -1[/tex]

=>       [tex]df = 5[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the t distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]t_{\frac{\alpha }{2} , 5 } = 2.571 [/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = t_{\frac{\alpha }{2}, 5  } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]E =  2.571  *  \frac{0.6512}{\sqrt{6} }[/tex]

=>    [tex]E = 0.6835 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x  -E <   \mu  <  \= x  +E[/tex]

=>     [tex]6.6  - 0.6835 <   \mu  <  6.6  +  0.6835[/tex]

=>     [tex] 5.92  <   \mu  <  7.284 [/tex]

Answer:

all of them are acute

.......

Answer:

yes. it will be an acute.

Answer:

447

Step-by-step explanation:

Answer:

447

Step-by-step explanation:

Answer:

Step-by-step explanation:

we know that distance d from the focus to P should be the same to the distance from P to the directrix

(x-h)^2=4p(y-k)

we need to find the y coordinate,

x is the same from focus, 3

y=(3, (4+2)/2)=(3,3)

we find p now by subtracting the y from the focus from the y that we just found

p=4-3=1

again (x-h)^2=4p(y-k), p=1

(x-3)^2=4(1)(y-3)

(x-3)^2=4(y-3),  (x-3)^2=4y-12

simplify

4y=(x-3)^2+12

y=((x-3)^2)/4 + 3

The equation for the parabola would be y = ((x-3)^2)/4 + 3.

We already know that distance d from the focus to P must be the same as the distance from P to the directrix

(x-h)^2 = 4p(y-k)

x is the same from focus 3

y = (3, (4+2)/2)

y  =(3,3)

by subtracting the y from the focus from the y that we get

p = 4-3 =1

similalry,

(x-h)^2=4p(y-k), p=1

(x-3)^2=4(1)(y-3)

(x-3)^2=4(y-3),  

(x-3)^2=4y-12

simplify it;

4y=(x-3)^2+12

y = ((x-3)^2)/4 + 3

Thus, the equation for the parabola would be y = ((x-3)^2)/4 + 3.

Learn more about parabola here;

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Answer:94,

Step-by-step explanation:

Answer:

SSS(Side,Side,Side)

Step-by-step explanation:

In the previous reasons you have proven that all of the sides of each triangle are equal to the corresponding side. You can use SSS to prove that the two triangles are congruent.

Answer: 13

Step-by-step explanation:

Answer:

17/15

Step-by-step explanation:

or if u reduce it would be 12/15

Answer:

Skewed to the left

Step-by-step explanation:

In pearson mode skewdness, the mean, mode and median are used to determine if we have a positive or negative skewed distribution.

Now, If the mean is greater than the median, it means that the distribution is positively skewed and therefore skewed to the right. However, If the mean is less than the median, it means that the distribution is negatively skewed and therefore skewed to the left.

In our question, the median is 85 and mean is 78. Thus, it means median is greater than the mean and as such, the distribution isnegatively skewed and therefore skewed to the left.

Answer: 480 minutes or 8 hours

Step-by-step explanation:

24,000 ÷ 50 = 480.

It will take 480 minutes to fill the pool.

480 minutes ÷ 60 is also 8. So it will take 8 hours to fill the pool, or 480 minutes. Whichever one you want to use.

Hope this helps!

Answer:

480 Minutes or 8 Hours

Step-by-step explanation:

If you do 24,000 divided by 50 you get a result of 480

Answer:-12 x 12 =- 144.

What you do is multiply regularly then add the negative sign, but if your multiplying  2 negatives it’s a positive answer. I cant help with the Fractions caz I’m not good at them lol .

Answer:

If you need to find s when t is 9, its simple.

Step-by-step explanation:

All ypu need to do is see what t is

t equals 2

you want to find what s is when t is 9

when t is 2, s is 294

when t is 9, all you have to do is find what times 2 equals 9, then times that number by 294

Answer:  384 ft^2

Step-by-step explanation:

Like it said  set up a proportional equation and solve for dimensions in feets.

The scale factor saids   0.75 in = 2 ft  

And the dimensions are   6 in by 9 in  

Now using the scale solve for how many feets will make 6 inches and how many feets will make 9 inches .  

[tex]\frac{0.75}{6} = \frac{2}{x}[/tex]         Solve by cross multiplying

0.75x = 12  

x = 16  

[tex]\frac{0.75}{9} = \frac{2}{x}[/tex]         Cross multiply

0.75x = 18

x = 24          

Now since we know the new dimensions are 16ft by 24ft then we will multiply them together to find the area .

16 * 24 = 384 ft^2

Answer:

Cos²(45°—A) + cos²(45°+A)

= [2 cos²(45°—A) + 2 cos²(45°+A)] /2

= [{2 cos²(45°—A)—1} + {2 cos²(45°+A)—1} + 2] /2

= [cos2(45°—A)+cos2(45°+A)+2]/2

= [cos(90°—2A)+cos(90°+2A)+2]/2

= (sin2A—sin2A+2)/2

= 2/2

= 1

Answer:

Answer:

Correct

Step-by-step explanation: