Solve each equation using the Properties of quality. Check your solutions
3. 4a + 3 =11
4. 8 =3r-1
6. 3x + 0.3 =3.3
5. 42=-2d+ 6
8. 9-c= -13
7. 15y + 31 =61

Answer:

x ≥ -11/2

Step-by-step explanation:

Step 1: Write inequality

1/2(8x - 2) - 2/3(9x + 3) ≤ 8

Step 2: Solve for x

Answer:

x equals 10

Step-by-step explanation:

so so you if the perimeter is 60 and when you measure perimeter you add up all these sides so you would add 2t + t + 3t = 60 then you would divide by 6 and get 10.

Answer:

11 times

Step-by-step explanation:

For every muffin, she uses 1/3 cup of sugar. 3 2/3 = 11/3

11/3 divided by 1/3 is 11.

1. a)

          2x    +     (-3)

   _______________

x  |      2x²    |    -3x      |

+  _______________

1  |       2x     |     -3       |

   -----------------------------

(2x - 3) (x + 1) = 2x² - 3x + 2x - 3 = 2x² - x - 3

b)

      x     +     2

   ____________

x  |   x²      |    2x    |

    ____________

3  |   3x     |      6    |

   -----------------------

(x + 2) (x + 3) = x² + 2x + 3x + 6 = x² + 5x + 6

Step-by-step explanation:

Divide two on both sides to get rid of it and the make the equation in the form y = mx + c

[tex] \frac{2}{2} y = \frac{3}{2} x + \frac{10}{2} [/tex]

y = 3/2x + 5

since both lines are parallel they must have the same gradient which is 3/2

y = 3/2x + c

All you have to do now is to replace x and y with (2, -5) to find c

x = 2

y = -5

-5 = 3/2 × 2 + c

-5 = 3 + c

c = -5-3

c = -8

[tex]y = \frac{3}{2} x - 8[/tex]

Answer: x > 4

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

Answer:

X< -4

Step-by-step explanation:

15 - 3x < 5x -17

15 - 17 < - 3x - 5x

-2 < 8x

X= - 4

Answer:

He has to use the foil method to combine the terms. But before that it would be best if he got rid of the negative exponents by taking the inverse of the number which moves the negative exponent to the denominator making it positive and leaving a 1 in the numerator.

Step-by-step explanation:

Answer:

3.9

Step-by-step explanation:

nine more than thirty=39

39/10=3.9

Answer:

television/ video games= 1/4

Step-by-step explanation:

cuz there are 2 sets of 30 min in an hour, make the video games time 4 sets of 30 min, and the tv time 1 set. so , the ratio would be 1/4.

The ratio of the amount of time spent on watching television to the amount of time spent on playing video games as a fraction in the simplest form is 1 : 4.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Time spend on watching television = 30 minutes.

And time spend on playing video games = 2 hours.

To find the ratio of the amount of time spent on watching television to the amount of time spent on playing video games,

Use ration property,

Ratio = time spend on watching television/ time spend on playing video games

         = 30 minutes / 2 hours

         = 30 minutes / 2 x 60 minutes

         = 1 / 4

Ratio = 1 : 4

The required ratio of time spend on television to time spend on playing video games is 1 : 4.

To learn more about Ratio on :

https://brainly.com/question/13419413

#SPJ2

Answer:

D: {-4, 0, 1, 2}

R: {-4, -3, 1}

Step-by-step explanation:

Answer:

The X and Y intercepts to the equation -3x - 7y = 84 is

x-intercept (s): (−28,0)

y-intercept (s): (0,−12)

Step-by-step explanation:

To find the x-intercept(s), substitute in 0 for y and solve for x

−3x−7⋅0=84

Solve the equation.

x=−28

x-intercept(s) in point form.

x-intercept (s): (−28,0)

To find the y-intercept(s), substitute in 0 for x and solve for y .

−3⋅0−7y=84

Solve the equation.

y=−12

y-intercept(s) in point form.

y-intercept (s): (0,−12)

Hope this helps.

Answer:

[tex]\boxed {x = \frac{8}{3}}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]x - \frac{17}{3} = -3[/tex]

-Add both sides by [tex]\frac{17}{3}[/tex] and convert [tex]-3[/tex] to a fraction [tex]-\frac{9}{3}[/tex]:

[tex]x - \frac{17}{3} + \frac{17}{3} = -3 + \frac{17}{3}[/tex]

[tex]x = -\frac{9}{3} + \frac{17}{3}[/tex]

-Since both [tex]-\frac{9}{3}[/tex] and [tex]\frac{17}{3}[/tex] have the same denominator, then you would add the numerators:

[tex]x = \frac{-9 + 17}{3}[/tex]

[tex]\boxed {x = \frac{8}{3}}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]\frac{8}{3}[/tex].

Answer:

Step-by-step explanation:

We are expected to convert from miles to kilometer

first day 85 miles =136.794km

Second day 125 mile=201.168km

third day 176 miles =283.245km

Total distance covered is

136.794km+201.168km+283.245km=621.207km

Therefore the total distance in kilometer is 621.207km

Answer

402 meters ÷ 18 seconds

Step-by-step explanation:

Answer:

402 meters ÷ 18 seconds

Step-by-step explanation:

While doing this sorta math to find the speed it will always be how long  ÷  by how long or time!

Answer:

Step-by-step explanation: Answer to ol in your answer.) What are mZA, mZB, and mZC? mZA= (Round to one decimal place as needed. Do not include the degree. I hope this either gives you a quick hint and a tip. Thank you and have a good day.

Answer:

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

If you take 4 and 2 and then subtract them you will get 2.

Now, look at the problem and see which number is bigger.

4 is bigger and it has a negative in front of it.

So it will be -2.

Answer:

12 4/25 is equivalent to 12.16 .

Answer:

2+2

Step-by-step explanation:

Two negatives together make a positive.

Answer:

2+2

Step-by-step explanation:

A positive minus a negative is a positive. Think of the two minus signs turning in to one plus sign.

In this triangle it is clear that the unknown side x is the hypotenuse of both the triangles that are being formed . So , let us take any one of the triangles and with it's length let us find the length of their hypotenuse which is side x .

= 5² + 5² = x² ( according to the pythagorean theorem the square on the hypotenuse will be equal to the sum of the squares on the other two legs )

= 25 + 25 = x²

= 50 = x²

= 7.0710678119 = x

But they have given that we have to round it off to the nearest tenths , so ;

= 7.0710678119 will be equal to = 7.10

= 7.1 = x

Therefore , the length of the unknown side x = 7.1 .

Answer:

141.74 grams

Step-by-step explanation:

According to the given situation, the computation of each baseball weighs is shown below:-

Each baseball weighs = Total weight of all ten baseballs ÷ Total amount

= 1,417.4 ÷ 10

= 141.74 grams

Therefore for determining the each baseball weighs we simply applied the above formula.

The same is to be considered

Answer:

Step-by-step explanation:

Answer:

10. X = 2.75

11. X = 1.61

Hey there, I have the steps listed below but what is the problem asking, I cannot solve it unless it explains the problem. Thank you!

Step-by-step explanation:

10. 5x + 10 + 11x + 2 = 56

16x + 12 = 56

16/16x = 44/16

X = 2.75

11. -1 + 8x + 18x + 5 = 46

26x + 4 = 46

26/26x = 42/26

X = 1.61

~I hope I helped you! :)~

Problem 10

-----------------------

Explanation:

The remote interior angles UTS and TSU add to the exterior angle AUT. This is because of the remote interior angle theorem. The interior angles you add cannot be adjacent to the exterior angle.

(angle UTS) + (angle TSU) = angle AUT

(5x+10) + (58) = 11x+2

5x+10+58 = 11x+2

5x+68 = 11x+2

68-2 = 11x-5x

66 = 6x

6x = 66

x = 66/6

x = 11

Use this x value to find that...

angle UTS = 5x+10 = 5*11+10 = 65

angle AUT = 11x+2 = 11*11+2 = 123

==========================================

Problem 11

-----------------------

Explanation:

We'll use the same theorem as before

(angle BCD) + (angle CDB) = angle WBC

(46) + (-1+8x) = 18x+5

46-1+8x = 18x+5

8x+45 = 18x+5

45-5 = 18x-8

40 = 10x

10x = 40

x = 40/10

x = 4

angle CDB = -1+8x = -1+8*4 = 31

angle WBC = 18x+5 = 18*4+5 = 77

Answer: 15600 rotations

Step-by-step explanation:

Answer:

Continuous data are data which can take any values. Examples include time, height and weight. Because continuous data can take any value, there are an infinite number of possible outcomes.

Answer:

6^10

Step-by-step explanation:

6^0 is essentially just 1. So 6^10 x 1 is 6^10.

Answer:

6^10

Step-by-step explanation:

When multiplying exponents with the same base number, you simply add the exponents and keep the bases the same

a^m * a^n = a^m+n

6^10 * 6^0 = 6^10+0

You can also look at it this way:

Any non-zero number to the power of 0 will ALWAYS equal 1

a^0=1

6^10 * 6^0 = 6^10 * 1 = 6^10

Answer:

26,000

Step-by-step explanation:

$2,000 per car x 13 used cars