Expand and simplify 4(2y – 7) – 3(5y – 3) I WILL GIVE BRANLIEST!

The width is 4 and length is 14 yards

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Area of rectangle= 56 square yards.

let the width be x.

So, length = 3x+ 2

So, Area of rectangle= 56 square yards.

length x width = 56

x(3x+2 )= 56

3x² + 2x -56= 0

3x² +  -56= 0

3x( x - 4 ) + 14 ( x - 4) = 0

(3x+ 14) (x- 4) = 0

x= 4, -14/3

Hence, the width is 4 and length is 14 yards.

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Answer:

28 and 62 and 45 is right

Step-by-step explanation:

Answer:

I think its A and B

Step-by-step explanation:

Hope this helps.

Answer:

10. p-0.2p

11. 0.2p

.........................

Hi there! Your answer is x = -2, y = -9/2

In coordinate point, we can write (-2,-9/2)

Please see the explanation below for a clear understand about the problem.

Any questions about the answer, feel free to ask in comment! :)

Step-by-step explanation:

Goal

Given

[tex]\begin{cases} x=2y+7 \Longrightarrow (1)\\ 3x-2y=3 \Longrightarrow (2) \end{cases}[/tex]

Step 1

Substitute x = 2y+7 in the second equation.

[tex]3x-2y=3\\3(2y+7)-2y=3[/tex]

We do this so we can solve for the y-term without any problems. (We need to get rid of a variable if there are more than one variable.)

Then we distribute/expand 3 in the expression.

[tex]6y+21-2y=3\\4y+21=3[/tex]

Step 2

To solve the equation, we have to isolate the term that we want. For this scenario, we want to know the value of y-term. Therefore, we isolate y-term.

[tex]4y=3-21\\4y=-18\\y=-\frac{18}{4} \\y=-\frac{9}{2}[/tex]

Finally! we know the value of y which is -9/2. But we are not done yet!

Step 3

After we solve the equation, we have to substitute the value in any given equations. No need to substitute the value in both equations! Choose an equation to substitute the value in.

For this, I will be choosing an equation with less coefficients which is the first equation.

[tex]x=2y+7[/tex]

Substitute y = -9/2 in the equation.

[tex]x=2(-\frac{9}{2})+7\\x=-9+7\\x=-2[/tex]

We should get x = -2 as the answer. This is our last step for finding an answer. The next few steps are going to be how to check the answer for system of equations. Note that next few steps are optional. If you are not certain that the answer is wrong or right, it is highly advised to check the answer before jumping to a conclusion!

Optional Steps - Answer Check

To check the answer, we can simply substitute both x-value and y-value in any given equations. You can either choose only a single equation to substitute in ONLY if you are certain/sure that the answer is likely correct. Substituting in both equations are recommended for beginners.

Step 3

Step 3.1

[tex]x=2y+7[/tex]

From x = -2 and y = -9/2

[tex]-2=2(-\frac{9}{2} )+7[/tex]

Cancel 2 out.

[tex]-2=-9+7\\-2=-2[/tex]

As you can see, both sides are equal. That means the equation is true for x = -2 and y = -9/2.

Step 3.2

[tex]3x-2y=3[/tex]

Substitute x = -2 and y = -9/2 in the equation.

[tex]3(-2)-2(-\frac{9}{2})=3\\-6+\frac{18}{2}=3\\-6+9=3\\3=3[/tex]

Since both equations are true for x = -2 and y = -9/4. We can conclude that:

[tex]\huge\sf{x = -2 \ and \ y = -\frac{9}{2} \ are \ the \ solutions \ to \ the \ system \ of \ equations.}[/tex]

Hence, the answer is x = -2 and y = -9/2.

Average rate of change, Correct Answer is (0,-3)

Answer:

Option (1)

Step-by-step explanation:

Formula to get the area of a circle is given by,

Area = πr²

Here r = radius of the circle

Since, Radius of a circle = [tex]\frac{\text{Diameter}}{2}[/tex]

Therefore, Radius of the circle with diameter = 31.6 cm will be,

Radius = [tex]\frac{31.6}{2}[/tex]

            = 15.8 cm

Now Area of the circle = π(15.8)²

                                      = 249.64π cm²

                                      = 783.87 cm²

                                      ≈ 783.9 cm²

Therefore, Option (1) will be the correct option.

Answer:

-243

Step-by-step explanation:

Since your finding the 36th term and you know the equation plugin 36(as n) into the arithmetic sequence.

-7(36)+9 = -243

Answer:

(b). 27

Step-by-step explanation:

The sum of exterior angles of any polygon is 360°

2x° +56° + 4x° + 57° + 85° = 360°

6x° + 198° = 360°

6x° = 360° - 198°

6x° = 162°

x = 27

Answer $37.12

Step-by-step explanation:

32 * 16% = 5.12

5.12+32= 37.12

Answer:

no your answer is wrong. the answer is 15.6

Step-by-step explanation:

it is a 30-60-90 degree triangle and as per the property ..

the side opposite to 30 degree angle is half of hypotenuse( I. e half of 18 that is 9)

the side opposite to 60 degree angle is √3/2 the hypotenuse.

that is √3/2 * 18

that is √3 * 9

that is 1.73 multiplied by 9 .....(as value of √3 is 1.73)

that is 15.57

rounding it to the nearest tenth it becomes 15.6

answer is 15.6 not 20.1

Answer: The next three terms =2.56, - 1.024 and 0.4096

Step-by-step explanation:

Common Ratio of a Geometric sequence, R is calculated as

=a2/a1 = -40/100=-0.4

or a3/a2=16/ -40 = -0.4

such that the next three terms are

5th term =  -6.4 x -0.4=2.56

6th term= 2.56 x -0.4 =-1.024

7TH term= -1.024 x -0.4=0.4096

Answer:

the first one

Step-by-step explanation:

Answer:

x = 25

[tex] m\angle \: MPQ = 125 \degree [/tex]

Step-by-step explanation:

[tex]5x \degree = (3x + 50) \degree \\(corresponding \:\angle s) \\\\ 5x = 3x + 50 \\ \\ 5x - 3x = 50 \\ \\ 2x = 50 \\ \\ x = \frac{50}{2} \\ \\ x = 25 \\ \\ m\angle MPQ = (3x + 50) \degree \\ \\ m\angle MPQ = (3 \times 25 + 50) \degree \\ \\ m\angle \: MPQ = (75 + 50) \degree \\ \\ m\angle \: MPQ = 125 \degree \\ \\ [/tex]

Answer:

63.59

Step-by-step explanation:

The area of floor space will the rug cover is 63.59 square feet.

The correct option is D.

A straight line that runs through the sideways of a body or figure, particularly a circle or sphere, is called as a diameter of a circle or sphere.

Given:

A rug is circular.

And diameter = 9 feet.

So, the radius of the circle is = 4.5 feet.

The area of floor space will the rug cover,

= πr²

= 3.14 x 4.5 x 4.5

= 63.59 square feet.

Therefore, the area is 63.59 square feet.

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Answer:

it will take 14 years approximately

Step-by-step explanation:

To get this, we use the compound interest formula

We have this as:

A = P ( 1 + r/n)^nt

where ;

A is the amount after the stipulated time = 13,950

P

is the amount deposited = 6,700

r is the rate = 5.2% = 5.2/100 = 0.052

n is the number of times interest is compounded yearly = 4 (quarterly is every 3 months)

t is what we want to calculate

13,950 = 6,700 ( 1 + 0.052/4)^4t

2.082 = 1.013^4t

ln 2.082 = 4t ln 1.013

ln 2.082/ln 1.013 = 4t

56.78 = 4t

t = 56.78/4

t = 14 years

Answer:

14  

Step-by-step explanation:  

I got it right  

A B E are the answers

Answer:

14,837.98

Step-by-step explanation:

i just took a test and got it wrong with the answer the other person said , the test said this was the right answer :)

Answer:

C. 19

Step-by-step explanation:

90+26=116

180-116=64

3x+7=64

3x=57

x=19

Answer: 14

Step-by-step explanation:

Fraction of blue shirts = 2/5

Fraction of red shirts = 3/10

Number of shirts in the shipment = 20

The number of shirts that are either blue or red will be:

= (2/5 + 3/10) × 20

= (4/10 + 3/10) × 20

= 7/10 × 20

= 14

The number of shirts that are either blue or red is 14

Answer:

1=5.           18= 2         35=-2.       52=-6

2=9.           19= 11.       36=-1.       53=6

3=6.           20= 18      37=-6.       54=-1

4=10.          21=12.      38=-3.       55=-3

5=10.          22=16.     39=-7.        56=1

6=13.          23=11.       40=-12.     57=-3

7=10.          24=10.      41=-8.         58=24

8=2.            25=20.     42=-1.          59=3

9=6.            26=5.       43=-5.          60=46

10=4.          27=17.       44=-5

11=10.          28=14.      45=-1

12=8.          29=31.      46=-6

13=8.           30=16.     47=-1

14=14.          31=-1.       48=-4

15=7.            32=-4.     49=-13

16=9.            33=-4.     50=-16

17=4.            34=-5.      51=8

Answer:

1. x = 5

2. x = 9

3.  x = 6

4. x = 4

5. x = 2

6. x = 13

7. x = 4

8. x = 2

9. a = 6

10. d = 4

11. c = 4

12. y = 8

13. u = 8

14. p = 14

15.  t = 7

16. x = 9

17. y = 4

18. g = 2

19. t = 11

20. x = 18

21. p = 12

22. k = 10

23. t = 11

24. h = 2

25. j = 10

26. x = 5

27. p = 11

28. r = 4

29. m = 13

30. k = 16

31. c = -1  

32. y = -4

33. u = -4

34. p = -5

35. t = -2

36. x = -1

37. y = -6

38. g = -3

39. t = -7

40. x = -12

41. p = -8

42. k = -1

43. t = -5

44. h = -5

45. j = -5

46. x = -12

47. p = -11

48. r = -14

49. a = -31

50. k = -96

51. p = -8

52. k = -6

53. t = 6

54. h = 7

55. j = -3

56. x = -3

57. p = -13

58. r = 14

59. a = -7

60. k = -34

please brainliest this took forever

:)))

Answer:

In the two different ways we have solved the given equation as

Step-by-step explanation:

Given expression is

To simplify the given expression in two ways:

First way:

Given  

Multiplying 3 on both sides

 (adding the like terms)

Dividing by 3 on both sides

Therefore the given expression is solved that

Another way:

Given  

(adding the like terms)

Therefore the given expression is solved that

In the two different ways we have solved the given equation as

Answer:

1st blank : 11

2nd blank : 4

Step-by-step explanation:

11 x 7/11 x 4

Answer:

about them or u asked question

Answer:

angle 1 is = 124 angle 2 is = 56

Step-by-step explanation:

supplementary angles always add up to 180 so you can set up the equation (2x+2)+(x-5)=180 to find x. After solving you get x = 61 and then once you have x you plug it into the 2 equations you got for the angles to solve for 1 and 2.

Answer:

B

Step-by-step explanation:

Hope this Helped! Please tell me if I'm wrong!

Answer:A

Step-by-step explanation: