The total cost of 6 apples and 8 pears is $6.54. The total cost of 7 apples and 5 pears is
$5.68. If a represents the cost of one apple and p represents the cost of one pear, which
system of equations represents this situation?

Answer:

m<UKJ = 80

Step-by-step explanation:

These angles are equal to each other because they're corresponding angles:

12x - 4 = 10x + 10

12x - 10x = 10 + 4

2x = 14

x = 7

m<UKJ:

12x - 4

12(7) - 4

84 - 4

80

Answer:

step-by-step-explaination:

y=2.2

Answer:

y = 4x + 57

Step-by-step explanation:

y = 4x + b

9 = 4(-12) + b

9 = -48 + b

57 = b

y = 4x + 57

Answer:

b

Step-by-step explanation:

hope this helped

:))))))

The Interquartile range for the given data is 4.

The interquartile range is a measure of where the “middle fifty” is in a data set. Where a range is a measure of where the beginning and end are in a set, an interquartile range is a measure of where the bulk of the values lie.

Here,

Given data: 23, 24, 25, 27, 27, 28, 29, 30, 30, 31, 32, 37

First Quartile Q₁ = (n-1)/4 th term

                      Q₁ = (12-1)/4 th term

                      Q₁ = 11/4 th term

                      Q₁ = 2.75 th term

                      Q₁ = 26

Third Quartile Q₃ = 3(n-1)/4 th term

                        Q₃ = 3 X 11 / 4

                        Q₃ = 8.25th term

                        Q₃ = 8th term + 0.25 (9th term - 8th term)

                        Q₃ = 30 + 0.25 (30 -30 )

                        Q₃ = 30 + 0

                         Q₃ = 30

Interquartile range = (Q₃ - Q₁ ) = (30 - 26)

                                 = 4

Thus, the interquartile range = 4.

Learn more about Interquartile Range from:

https://brainly.com/question/4135956

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Answer:

Please find attached the required graph of the equation, y = x² - 2·x - 8, created using MS Excel

Step-by-step explanation:

The given function required to be plot is y = x² - 2·x - 8

Therefore, the coordinates of the vertex of the parabola formed by the equation (h, k) is given as follows;

h = -(-2)/(2×1) = 1

k = 1² - 2×1 - 8 = -9

The coordinates of the vertex = (1, -9)

The roots of the equation is given when y = 0, as follows;

At the roots, we have;

x² - 2·x - 8 = 0

By factorizing, we get

x² - 2·x - 8 = (x - 4)·(x + 2) = 0

Therefore. the roots of the equation are;

x = 4, and x = -2

The coordinates of the roots are;

(4, 0), and (-2, 0)

Two other points can be found at when x = 3 and when x = 0 as follows;

When x = 3, we have;

y = 3² - 2×3 - 8 = -5

(3, -5)

When x  = 0, we have;

y = 0² - 2×0 - 8 = -8

(0, -8)

The five points are;

(1, -9), (4, 0), (-2, 0), (3, -5), (0, -8)

The graph of the equation created using MS Excel showing the five points is attached.

Answer:

468 in ^2; a

Step-by-step explanation:

Add each side of the prism;

Base: 15*10 = 150

Rectangular sides: 10*12+9*10 = 210

Triangular sides (x2): ((9*12)/2)*2 = 108

108+210+150 = 468 in ^2

Answer:

Measure of segment JL is 20 cm.

Step-by-step explanation:

By applying geometric mean theorem in the given right triangle,

[tex]\frac{JM}{KM}=\frac{KM}{ML}[/tex]

[tex](KM)^2=(LM)(ML)[/tex]

[tex]8^2=(JM)(4)[/tex]

[tex]JM=\frac{64}{4}[/tex]

[tex]JM=16[/tex]

Since, [tex]JL=JM+ML[/tex] [By segment addition postulate]

[tex]JL=16+4[/tex]

[tex]JL=20[/tex] cm

Therefore, measure of segment JL is 20 cm.

Answer:

1.3845  

Step-by-step explanation:

i used this formula in the screenshot

and you can also try using calculator websites

Answer:

7%

Step-by-step explanation:

Out of the 75 people who ordered a hot drink, only 5 ordered a small.

5/75 = 0.066 or 7%

Answer:

Option 3  (lower left)

Step-by-step explanation:

Answer:

x = 9.7    y = 11.4

Step-by-step explanation:

tan 45 = x/6

x = tan 45 (6)

= 9.7

c² = a² + b²

c² = 9.7² + 6²

= 94.09 + 36

= 130.09

= 11.4

Answer:

Shirt : Pant = 2 : 3 ,  & Pant : Shirt = 3 : 2 , Linear model can be used.

Step-by-step explanation:

Ratio of ' Number of shirts sold : Number of items sold' = 2 : 5

Let the common ratio be = x

Then, number of shirts sold = 2x. And, number of total items sold = 5x.

So, number of pants sold = Number of items sold - number of shirts sold = 5x - 2x = 3x

So, shirt to pant ratio = 2x / 3x = 2 : 3 .And,  pant to shirt ratio = 3 : 2

This model can be shown in linear equation, as all are linear powered.

Answer:

Step-by-step explanation:

Answer:

a²+2ab+b² =(a+b)²

is your answer

Answer:

volume = 684π m³ or 2148.85 m³

Step-by-step explanation:

volume = (π6² x 11) + (4/3π6³) = 396π + 288π = 684π m³ or 2148.85 m³

20

Is the answer because it is going up 3,4,5,6,7

Answer:

20

Step-by-step explanation:

The number being added is increased by 1.

2+3 = 5

5+4 = 9

9+5 = 14

14+6 = 20

20+7 = 27

Step-by-step explanation:

hope this help you more..

)

Answer:

1/2

Step-by-step explanation:

2/3 x 5/6 = 10/18

10/18 divided by 10/9  —————- > 10/ 18 times 9/10=90/180

(You switch up 10/9 into a multiplication equation)

90/180=1/2

Therefore,  2/3 x 5/6 divided by 10/9= 1/2

Answer:

200% of 4 = 8.

Of is a keyword for multiply.

200% x 4 = 8.

8 is less than 10.

Step-by-step explanation:

I hope that this answer had helped you to understand your question. If you have any further questions, please put them below.

Have a great rest of your day/night!

Answer:

42,000

Step-by-step explanation:

1 gram = 1000 milligram

So, multiply.

42 × 1000 = 42,000

Have a great day!

[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]

42000 mg

1 gram = 1000

42 grams = 42 × 1000

42000mg.

Answer:

[tex]\sqrt{209}[/tex]

Step-by-step explanation:

[tex]\sqrt{15^{2} -4^{2} } =\sqrt{209}[/tex]

Answer:

x = y = [tex]\sqrt{7\\}[/tex]

Step-by-step explanation:

[tex]\sqrt{7} ^{2} + \sqrt{7} ^{2} = \sqrt{14}^{2}\\7 + 7 = 14[/tex]

Answer: 3 and 6

5 and 4

Step-by-step explanation:

3 and 4 are congruent to 5 and 6

Answer:

OC=48

RK=100

Step-by-step explanation:

We can use proportions to find both OC and RK.

[tex]\frac{OK}{KY} =\frac{OC}{RY}[/tex]

[tex]\frac{12}{24} =\frac{OC}{96}[/tex]

[tex]24OC=1152[/tex]

[tex]OC=48[/tex]

[tex]\frac{KC}{RK} =\frac{OK}{KY}[/tex]

[tex]\frac{50}{RK} =\frac{12}{24}[/tex]

[tex]12RK=1200[/tex]

[tex]RK=100[/tex]

Answer:

RK = 100

OC = 48

Step-by-step explanation:

Scale factor = 12/24 = 1/2

1/2 RK = 50

RK = 2* 50

RK = 100

1/2 RY = OC

1/2 * 96 = OC

48 = OC

OC = 48

Answer:

biosphere

Step-by-step explanation:

[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]

Biosphere.