if you had 1 bar a chocolate but then you ate the chocolate how much chocolate did you have left? 3 bars? 6 bars?

The formula for finding the measure of each interior angle is below.

180(n - 2) / n where n represents the number of sides.

Since the polygon has 72 sides, we plug a 72 in for n.

So we have 180(72 - 2)/72 or 180(70)/72 which is 12600/72 or 175.

So the measure of each interior angle is 175 degrees.

Answer:

y=-1x+3

Step-by-step explanation:

2y=1+5x (moving 5x to the other side) {equation 1}

Y= (1+5x)/2 (dividing both sides by 2)

Substitute {Y=(1+5x)/2} into equation: (-8x+9y=19)

Therefore giving you:

-8x+9(1+5x)/2=19

-8x+(9+45x)/2=19

(multiply through by 2 to remove the fraction)

-16x+9+45x=38

45x-16x=38-9(grouping like terms)

29x=29

Divide both sides by 29

X=1

Substitute X=1 into equation (-5x+2y=1)

-5(1)+2y=1

(-5)+2y=1

2y=1+5

2y=6

2y/2=6/2 (dividing both sides by 2)

Y=3.

:X=1 and Y=3

Answer:

X = 1

Y = 3

Step-by-step explanation:

Given equations are;

-5x+2y=1              Eqn 1

-8x+9y=19          Eqn 2

Multiplying Eqn 1 by -8

-8(-5x+2y=1)

40x - 16y = -8     Eqn 3

Multiplying Eqn 2 by 5

5(-8x+9y=19)

-40x+45y=95     Eqn 4

Adding Eqn 3 and 4

40x - 16y - 40x + 45y = 95 - 8

29y = 87

Dividing both sides by 29

[tex]\frac{29y}{29}=\frac{87}{29}\\y = 3[/tex]

Putting y = 3 in Eqn 1

-5x + 2(3) = 1

-5x + 6 = 1

-5x = 1 - 6

-5x = -5

x = 1

Hence,

X = 1

Y = 3

Vă rugăm să găsiți imaginea întrebării atașate mai jos:

Răspuns:

A este proporțională

B este proporțională

C nu este proporțional

D este proporțional

E nu este proporțională

F este proporțional

Explicație pas cu pas:

Pentru a determina proporționalitatea:

Obținem constanta proporționalității

Pentru valorile din tabelul 1;

Luând primul punct:

x = 1; y = 5

1 α 5

1 = 5k

k = 1/5

Test:

y = 15

x = k * y

x = 1/5 * 15; x = 3

Prin urmare; (a) este proporțională

B.)

x = 2; y = 6

2 α 6

2 = 6k

k = 2/6

k = 1/3

Test:

y = 15

x = k * y

x = 1/3 * 15; x = 5

Prin urmare; (b) este proporțională

C.)

x = 2; y = 6

7 α 3,5

7 = 3,5k

k = 7 / 3,5

k = 2

Test:

y = 5

x = 2 * 3.5

x = 7

Prin urmare; (c) nu este proporțională

x = 0,5; y = 1

0,5 α 1

0,5 = k

Test:

y = 4

x = k * y

x = 0,5 * 4; x = 2

Prin urmare; (d) este proporțională

x = 0,2; y = 2

0,2 α 2

0,2 = 2k

k = 0,2 / 2

k = 0,1

Test:

y = 4,5

x = 0,1 * 4,5

x = 0,45

Prin urmare; (e) nu este proporțională

x = 1; y = 12

1 α 12

1 = 12k

k = 1/12

Test:

y = 84

x = 1/12 * 84

x = 7

Prin urmare; (f) este proporțională

Answer:

7 tarts

Step-by-step explanation:

1st step: find half of 9 1/3 = 28/3 x 1/2 = 14/3

2nd step: divide 14/3 by 2/3 so you multiply by the reciprocal of the 2nd fraction

14 x 3 = 7

3       2

Answer:

7 tarts

Step-by-step explanation:

First, lets make 9 1/3 into a full fraction. You can multiply 9x3 and add it to the numerator, which makes the fraction 28/3. Then it says half of the amount. "of" means to multiply, so lets do 28/3 x 1/2. We should get 28/6. Now, since each tart has 2/3 cups of blueberries, we should divide our fraction by 2/3 to find the amount of tarts. So 28/6 divided by 2/3. We can use KCF on 2/3 which makes the equation into 28/6 x 3/2. Finally, we should get 84/12, which simplified is 7.

Answer:

square

Step-by-step explanation:

Square

All sides are equal

hope it's helpful ❤❤❤

THANK YOU

Answer:

13, 3, 7. you are using a square root any calculator can do this :)

Answer:

10) is 13

Step-by-step explanation:

11) is 3

12) is 3.464

Answer:

37 degrees

Step-by-step explanation:

Opposite angles will have the same degrees in intersecting lines.

1) 75=(2x+1)

2) 75-1=2x+1-1

3)74/2=2x/2

4)x=37

Answer:

5b - 0.9b, distributive property

Step-by-step explanation:

The expression that is used to find the price of 5 loaves of bread is given by :

5(b-0.18b)

We need to rewrite the above expression.

Distributive property : a(b+c) = ab + ac

Here, a = 5, b = b and c = -0.18b

5(b-0.18b) = 5(b) + 5(-0.18b)

= 5b - 0.9b

So, the equivalent expression is 5b - 0.9b. The distributive property was used to rewrite the expression.

The solution of the given expression (7/45 x 9/49) is 1/35.

The mathematical expression combines 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 denote the logical syntax's operation order and other properties.

Given that the expression is 7/45 x 9/49. The expression will be simplified as below,

E = 7/45 x 9/49

E = 1 / 5 x 1 / 7

E = 1 / ( 5 x 7 )

E = 1 / 35

To know more about an expression follow

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Answer:

Step-by-step explanation:

What is the rate in miles per gallon:

gallons used:           28        39        42

miles;                      628.4  947.7  1020.6

The answer is below

Solution:

A linear function is a function in the form:

y = mx + b; where y is a dependent variable, x is an independent variable, m is the rate of change of y with respect to x, and b is the initial value of y when x is zero.

From the table, we are given the gallon used to cover a distance in miles. To calculate the rate, we can select two points from the table. Using the points in the form (miles, gallons used): (628.4, 28) and (1020.6, 42) we get:

[tex]m=\frac{1020.6-628.4}{42-28}\\\\m=28\ miles\ per\ gallon[/tex]

Answer:

x=21

Step-by-step explanation:

Answer:

Area= 12 units squared, Perimeter= 16.12899

Step-by-step explanation:

[tex]AC= \sqrt{(4-0)^{2}+ (0+4)^{2}} = 4\sqrt{2}[/tex]

[tex]AB= \sqrt{(0-4)^{2}+ (2-0)^{2} } = 2\sqrt{5}[/tex]

[tex]BC= \sqrt{(0-0)^{2}+ (2+4)^{2} }= 6[/tex]

So, perimeter= [tex]4\sqrt{2} + 2\sqrt{5} +6= 16.12899[/tex]

[tex]Area= \frac{1}{2}bh\\[/tex]

        [tex]= \frac{1}{2}BC\sqrt{(4-0)^{2}+(0-0)^{2} }[/tex]

         [tex]= 12[/tex] [tex]units^{2}[/tex]

Answer:

$4.25

Step-by-step explanation:

Answer:

The price of 17 minutes call = $4.25

Step-by-step explanation:

Given

Thus,

The unit rate can be calculated

Unit rate = $1.25 / 5 minutes

Unit rate  = $0.25 per minute

So,

The price of one minute call = $0.25

The price of 17 minutes call = 0.25 × 17

                                               = $4.25

Therefore, the price of 17 minutes call = $4.25

Answer:

Replace the variable x with 5

in the expression.

f(5)=4(5)−5

Simplify => 4(5)−5.

=>15

Step-by-step explanation:

Answer:

simply divide the numerator and denominator by 4 (the GCF). So, 1232 = 12÷432÷4 = 38. Thus, 1232 is equivalent to 38 in the reduced form. (*) The factors are numbers that multiply each other to get another number.Step-by-step explanation:

Answer:

3:8

Step-by-step explanation:

We can simplify the ratio 12 : 32 by dividing both terms by the greatest common factor (GCF).

The GCF of 12 and 32 is 4.

Divide both terms by 4.

12 ÷ 4 = 3

32 ÷ 4 = 8

Therefore:

12 : 32 = 3 : 8

I hope this helped, If this is wrong then I'm sorry but I think this is accurate.

Answer:

287.7

I hope this helps

Step-by-step explanation:

21×13.7=287.7

Combine multiplied terms into a single fraction

Multiply the numbers

Subtract  7  from both sides of the equation  

Simplify  

Multiply all terms by the same value to eliminate fraction denominators

Answer: -9

Step-by-step explanation: 117 divided by -13 = -9

-1053 divided by 117 = -9

common ratio=-9

Answer:

$30,000 down payment is 15% of purchase price

$80,000 down payment would be 40% of purchase price

Step-by-step explanation:

x = percent of purchase price

30,000 = 200,000x

3/20 = x

3/20 = 15/100 = 15%

80,000 = 200,000x

8/20 = x

8/20 = 40/100 = 40%

Answer:

I think It is D

Answer:

It's D.

Step-by-step explanation:

I'm pretty sure about the answer.thank u

Answer:

2/3

Step-by-step explanation:

[tex]4\frac{1}{2} -3 \frac{5}{6}[/tex]

1. Turn it into an improper fraction

[tex]4\frac{1}{2}[/tex] = [tex]\frac{9}{2}[/tex]

[tex]3\frac{5}{6}[/tex] = [tex]\frac{23}{6}[/tex]

[tex]\frac{9}{2} -\frac{23}{6}[/tex]

Now find a common denominator and in this case, it can be 6

[tex]\frac{9*3}{2*3} = \frac{27}{6}[/tex]

[tex]\frac{27}{6} - \frac{23}{6}[/tex] = ....

[tex]\frac{4}{6} =\frac{2}{3} (simplified)[/tex]

The solution is ,  4 1/2 - 3 5/6 = 2/3.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

given that,

we the expression given and,

we have have to estimate the given expression

4 1/2 - 3 5/6

making the mix fractions in improper fraction we get,

=9/2 - 23/6

as we know, the common denominator is 6 , so, we get,

9*3 - 23/ 6

=4/6

=2/3

Hence, The solution is ,  4 1/2 - 3 5/6 = 2/3.

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Answer:

15 muffins are cinnamon.

Step-by-step explanation:

Given that:

Number of muffins baked = 50 muffins

Chocolate chip muffins = 1/5 of 50 = [tex]\frac{1}{5}*50[/tex]

Chocolate chip muffins = 10 muffins

Blueberry muffins = 1/2 of 50 = [tex]\frac{1}{2}*50[/tex]

Blueberry muffins = 25

Cinnamon muffins = Muffins baked - chocolate chip muffins - blueberry muffins

Cinnamon muffins = 50 - 10 - 25

Cinnamon muffins = 50 - 35 = 15

Hence,

15 muffins are cinnamon.

Answer:

5. 1) C. 3/2·x + y = 2 ↔ y = -3/2·x + 2

6. 2) A. y = -2/3·x + 2 ↔  2·x + 3·y = 6

7. 3) D. y = 3/2·x + 2 ↔  y = 3/2·x + 2

8. 4) E. y = 2·x + 2 ↔  -6·x + 3·y = 6

9. 5) B. 3·x + y = 6 ↔  y = -3·x + 6

10. 6)  y = 5/4·x - 10, and y = 5/4·x - 11

11. 7)  y = -8·x + 15 and y = -8·x + 16

12. 8) 4·x + y = 7 and 4·x +  y = 6

13. 9) No

14. 10) Yes

Step-by-step explanation:

Two equations will have an infinitely many solutions when that represent the same equation

5. 1) C. 3/2·x + y = 2 is the same equation as  y = -3/2·x + 2

6. 2) A. y = -2/3·x + 2 is the same equation as  2·x + 3·y = 6 (divide by 3 and make y the subject of the equation)

2·x/3 + 3·y/3 = 6/3 = 2

y = -2/3·x + 2

7. 3) D. y = 3/2·x + 2 is the same equation as  y = 3/2·x + 2

8. 4) E. y = 2·x + 2 is the same equation as  -6·x + 3·y = 6

-6·x/3 + 3·y/3 = 6/3 = 2

y = 6·x/3 + 2 = 2·x + 2

9. 5) B. 3·x + y = 6 is the same equation as  y = -3·x + 6

3·x + y = 6

- 3·x + 3·x + y  = -3·x + 6

y = -3·x + 6

Two straight line equations of the form, y = m·x + c, will have no solutions if they represent parallel lines and therefore, have equal slopes, m and different "y" intercepts, c

10. 6)  For y = 5/4·x - 10, we have the slope, m = 5/4 and the "y" intercept c = -10

Therefore, the equation that will make a system with "no solution" has the same value for "m" and a different value for "c" such as y = 5/4·x - 11

11. 7) For y = -8·x + 15,  similarly we have a system with "no solution" as follows;

y = -8·x + 15 and y = -8·x + 16

12. 8) For 4·x + y = 7, a system with "no solution" can be written as follows;

4·x + y = 7

∴  y = - 4·x + 7 which gives;

y = - 4·x + 7 and y = - 4·x + 6

From y = - 4·x + 6, we have;

4·x +  y = 6

The system with "no solution" can therefore also be written as follows;

4·x + y = 7 and 4·x +  y = 6

13. 9) No the sum of the two numbers and the result forms a function  with the sum of the two numbers being the inputs of the function and their value, 8 being the output of the function and therefore, the input of a function can not have multiple outputs which are 8 and 10 which makes it not possible

14. 10) Yes, by the definition of a function, it is possible for two different inputs to a function to have the same output, therefore, given that the operation performed on the two inputs are different, the two inputs can be considered as different an can have he same output

For example, we have 8 + 0 = 8 and 8 - 0 = 8.

Answer: (x + 2)2+(y-7)2 = 16