-4х + 5y=— 28
4x – 3y = 20

Answer:

The lemonade costs 1.4.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

x is the cost of a cookie.

y is the cost of a lemonade.

Total cost for cookie and lemonade is 1.80.

This means that [tex]x + y = 1.8[/tex].

As we want y, we have that [tex]x = 1.8 - y[/tex]

Lemonade costs 1.00 more than the cookie?

This means that:

[tex]y = x + 1[/tex]

So

[tex]y = 1.8 - y + 1[/tex]

[tex]2y = 2.8[/tex]

[tex]y = \frac{2.8}{2}[/tex]

[tex]y = 1.4[/tex]

The lemonade costs 1.4.

1. 1080°

2. 36°

3. 27 diagonals

4. 140°

5. 7 sides

1. The sum S of the interior angles of a polygon is given by;

S = (n-2) x 180°

Where;

n = number of sides of the polygon.

Therefore, to get the sum of the interior angles of a polygon having 8 sides, we substitute n = 8 into equation (i) as follows;

S = (8 - 2) x 180°

S = 6 x 180°

S = 1080°

Therefore, the sum of the interior angles of a polygon having 8 sides is 1080°

2. The sum of interior angles of a polygon is given by;

S = (n - 2) x 180°

For a polygon which is a regular decagon where the number of sides n = 10, the sum is;

S = (10 - 2) x 180°

S = 8 x 180°

S = 1440°

Since the decagon is regular, then each of its interior angles is given by;

1440° / 10

=> 144°

Now, since we know that the sum of the interior angle and exterior angle will give 180°, then;

The exterior angle of a regular decagon is;

180° - 144° = 36°

Therefore, the exterior angle of a regular decagon is 36°

3. The number of diagonals N of a polygon with n sides is given by;

N = [tex]\frac{1}{2} n(n-3)[/tex]

So, for a nonagon which has 9 sides (i.e n = 9), the number of diagonals is;

N = [tex]\frac{1}{2}*9(9-3)[/tex]

N = [tex]\frac{1}{2}*9(6)[/tex]

N = 9(3)

N = 27

Therefore, a nonagon has 27 diagonals.

4. The sum of interior angles of a polygon is given by;

S = (n - 2) x 180°

For a polygon which is a nonagon where the number of sides n = 9, the sum is;

S = (9 - 2) x 180°

S = 7 x 180°

S = 1260°

Since the nonagon is regular, then each of its interior angles is given by;

1260° / 9

=> 140°

Therefore, the measure of each angle (interior angle) of a regular nonagon is 140°

5. The sum of the interior angles of a polygon is given by;

S = (n - 2) x 180°

So if the sum is 900, then to get the number of sides of the polygon, we substitute S = 900 into the equation;

900° = (n - 2) x 180°

Divide through by 180°

5 = (n - 2)

Solve for n;

n = 5 + 2

n = 7

Therefore, the regular polygon has 7 sides.

Step-by-step explanation:

xa - xb = c

x (a - b) = c

× = c / (a -b)

Answer:

a) 34mi

b) 10mi

c) 44mi

d) by Calculating the amount of miles it would take John to go to school plus the amount of miles it would take Sara to go to school. Then add the sum of the amount of miles it took for both to go to school.

Step-by-step explanation:

a) explanation:

[tex]a^{2} +b^2=c^2[/tex]

[tex]16^2+30^2=c^2[/tex]

[tex]256 + 900 = c^2[/tex]

[tex]c^2=1156[/tex]

[tex]\sqrt{1156}=34mi[/tex]

b) explanation:

[tex]a^{2} +b^2=c^2[/tex]

[tex]6^2+8^2=c^2[/tex]

[tex]36+64=c^2[/tex]

[tex]c^2=100[/tex]

[tex]\sqrt{100} =10mi[/tex]

c) explanation: we already have all the data from John's house to Sara's House.

John's House to Sara's House = John's House to School + Sara's House to School.

Sara's House to School (Question #1) = 34mi

John's House to School (Question #2) = 10mi

34(mi) + 10(mi) = 44(mi)

d) explanation: explanation is on the answer

Answer:

[tex]y=\frac{1}{2}x+9[/tex]

Step-by-step explanation:

Slope-Intercept Form:

[tex]y=mx+b[/tex]

Plug in the slope:

[tex]y=\frac{1}{2}x+b[/tex]

Solve for b, the y-intercept, given the point (-8,5):

[tex]5=\frac{1}{2}(-8)+b[/tex]

[tex]5=-4+b[/tex]

[tex]9=b[/tex]

Therefore, the equation [tex]y=\frac{1}{2}x+9[/tex] produces a line with a slope of [tex]m=\frac{1}{2}[/tex] and passes through the point [tex](-8,5)[/tex]

Answer:

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Step-by-step explanation:

yfjjgnkgckitfv

Answer:

Experimental probability [Customer complains] = 45 / 923

Step-by-step explanation:

Given:

Total number of customer in store = 923 customers

Total number of complaints in October = 45 Find:

Find;

Experimental probability [Customer complains]

Computation:

Probability of an event = Number of favorable outcomes / Total number of outcomes

Experimental probability [Customer complains] = Total number of complaints in October / Total number of customer in store

Experimental probability [Customer complains] = 45 / 923

Answer:

1/4 of the cost

Step-by-step explanation:

Lisa, Taryn, and Catherine go to a store to buy party supplies. The store has a sale on the supplies they want for 3/4 the original price. The girls agree to each pay 1/3 of the cost. What fraction of the original price did each girl pay?

Discounted price = 3/4 the original price

Each girl agreed = 1/3 of the cost

Amount each girl paid = 3/4 * 1/3

= (3 * 1) / (4 * 3)

= 3 / 12

= 1/4 of the cost

Amount each girl paid = 1/4 of the cost

Answer:

51.97.

not sure if this is correct.

Step-by-step explanation:

Answer:

Time when both earnings are equal = 5:00 Pm

Step-by-step explanation:

Given:

Total earning of Deanne = 6.50x

Total earning of Stephanie = 9.10(x -2)

Work started at 10:00 am

Find:

Time when both earnings are equal

Computation:

Total earning of Deanne = Total earning of Stephanie

6.50x = 9.10(x - 2)

6.5x = 9.1(x-2)

6.5x = 9.1x - 18.2

9.1x - 6.5x = 18.2

2.6x = 18.2

x = 18.2 / 2.6

x = 7 hour

So,

Time when both earnings are equal = Work started at 10:00 am + 7 hour

Time when both earnings are equal = 5:00 Pm

Answer:

11) 2√3

12) 4√3

Step-by-step explanation:

11)

tg60 = 6/x

x= 6/tg60

x= 6/ √3

x= 2√3

12)

a2= (b)2 + (c)2

a2= (6)2 + (√3)2

a2= 36 + 12 = 48

a= √48

a= 4√3

I hope this helps you :)

Answer:

The y-value of Function A when x = 2 is GREATER than the y-value of Function B when x = 2

Step-by-step explanation:

✔️Find the equation of Function A:

To do this, find the y-intercept (b) and slope (m):

Slope (m) = change in y/change in x

Using (4, 13) and (5, 17),

Slope (m) = (17 - 13)/(5 - 4) = 4/1

m = 4

To find b, substitute (x, y) = (4, 13) and m = 4 into y = mx + b

13 = 4(4) + b

13 = 16 + b

13 - 16 = b

b = -3

To write the equation for Function A, substitute m = 4 and b = -3 into y = mx + b

Thus:

y = 4x - 3

Next, find the y-value of Function A when x = 2 by substituting x = 2 into y = 4x - 3

Thus:

y = 4(2) - 3

y = 8 - 3

y = 5

✅The y-value of Function A when x = 2 is 5

✔️Equation for Function B is given as,

y = ½x + 1

Find the y-value of Function B when x = 2 by substituting x = 2 into y = ½x + 1

Thus:

y = ½(2) + 1

y = 1 + 1

y = 2

✅The y-value of Function B when x = 2 is 2

Therefore, the correct statement is:

The y-value of Function A when x = 2 is greater than the y-value of Function B when x = 2

Answer:

Lenght us 6

Step-by-step explanation:

Answer: $33.28

Step-by-step explanation: 41.60x .20 = 8.32

41.60 - 8.32 = 33.28

Answer:

x = -3

Step-by-step explanation:

36(x + 4) = 36

Divide both sides by 36

x + 4 = 1

Subtraact 4 from both sides

x = -3

Answer:

-3

Step-by-step explanation:

Equation = 12 - -24 = ?

After keep, change, flip: 12 + 24 = ?

Answer = 36

Wait someone takes negative 24 or just 24?

If negative then it would be 36

If positive then it would be -12

Hope this helps! :)

He would have 45000 apples, right?

Answer:

c+d>15

Step-by-step explanation:

Usually there's more to the question.. the inequality doesn't look too right, but it could be.

Answer:

c+d>15

Step-by-step explanation:

Answer:

the length of the rectangle times the wedth of the rectangele by 2

Answer:

It should be -24

Step-by-step explanation:

I found it online, since I wasn't entirely sure, but remember that studying can be fun, and everyone have an amazing day :)

Answer:20

Billions

Step-by-step explanation:

Answer:

Kjxiycdafgousdgkuafveligfasa

Answer:

sdfgfgav

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

B²=H²-P²

B²=15²-12²

B²=81

√B=9

therefore it's 9

Step-by-step explanation:

The answer is A

Answer:

It would be a negative linear association if not then nonlinear association.

Step-by-step explanation:

Answer:

Step-by-step explanation:

the width of the first frame is 12cm because 120/10 = 12

the length of the second frame is 24cm because 288/12 = 24