The following is an example of the ____________

(a+b)+c=a+(b+c)


A.Commutative Property


B.Identity Property


C.Distributive Property


D.Associative Property

Answer:

I believe the answer is 20

Step-by-step explanation:

The given linear system is:

[tex]\displaystyle \left \{ {{5x+3y=1} \atop {-5x-7y=31}} \right.[/tex]

Linear systems can be solved using either elimination or substitution. However, the question is asking to solve using elimination, so I will use that method.

When eliminating, you can either eliminate x or y. In this system, x is much easier to eliminate. The x variable in the first equation is 5x, and in the second equation, it is -5x. Since 5 and -5 cancel each other out, you don't need to do anything other than add.

[tex]5x+3y=1\\-5x-7y=31[/tex]

[tex]\displaystyle 3y-7y=1+31\\-4y=32[/tex]

Lastly, you need to leave the variable y alone. The variable is currently -4y or -4 times y. To remove it, you need to do the opposite of it, which is dividing by -4.

Divide both sides by -4:

[tex]\displaystyle\frac{-4y}{-4} =\frac{32}{-4}[/tex]

[tex]\displaystyle y=-8[/tex]

Now that you have the value of y, substitute it into one of the equations to find x. I will be substituting it into the first equation.

[tex]\displaystyle 5x+3y=1 \rightarrow 5x+3(-8)=1[/tex]

Open the parentheses and multiply:

[tex]5x-24=1[/tex]

Move 24 to the other side to leave the variable alone:

[tex]5x-24+24=1+24[/tex]

You will be adding since you're "removing" it by doing the opposite of it.

[tex]5x=25[/tex]

Lastly, divide both sides by 5 to leave x alone.

[tex]\displaystyle \frac{5x}{5} =\frac{25}{5}[/tex]

[tex]x=5[/tex]

[tex]\displaystyle (x,y) \rightarrow (5, -8)[/tex]

The answer is (5, -8).

Answer:

Zero Slope

Step-by-step explanation:

Hope this helps!

Answer:

B. m<3 = 100°

C. m<2 + m<4 = 80°

Step-by-step explanation:

Given that n is parallel to m, the following are the measure of each numbered angles:

m<1 = 60° (vertical angles are congruent)

m<2 = 20° (corresponding angles are congruent)

m<3 = 180 - (m<CAB + m<1) (sum of ∆)

m<3 = 180 - (20° + 60°)

m<3 = 100°

m<4 = 60° (corresponding angles are congruent)

Therefore, the following statements are TRUE:

B. m<3 = 100°

C. m<2 + m<4 = 80°

Answer:

Step-by-step explanation:

Mary will be twice as old as her brother when the age of her brother is equal to the ... Add this value of 8 to Mary's & her brother's present age. ... In three years time I will be half my brother's age. ... In 4 years, she will be four times as old as her son was 9 years ago

Answer: $5933.04

Step-by-step explanation:

Principal = $5900

Rate = 8%

Time = 7 years

Simple interest = PRT/100

= (5900 × 8% × 7)/100

= (5900 × 0.08 × 7) / 100

= 3304/100

= $33.04

Total amount = Principal + Interest

= $5900 + $33.04

= $5933.04

Answer:

b ≥ - 34 / 3

Step-by-step explanation:

Given the inequality :

30b+53≥18b−83

Collect like terms

30b - 18b ≥ - 83 - 53

12b ≥ - 136

Divide both sides by 12

12b / 12 ≥ - 136 / 12

b ≥ - 34 / 3

Hence, b ≥ - 34/3

Answer:

b≥− 34/3

Step-by-step explanation:

Answer:

Length = [tex]57.5\ \text{inches}[/tex]

Width = [tex]18\ \text{inches}[/tex]

Step-by-step explanation:

The scale of the toy train is [tex]\dfrac{2}{9}[/tex]

So, the dimensions of the toy train is [tex]\dfrac{2}{9}[/tex] times the actual dimensions of the train.

The dimensions of actual train is [tex]\dfrac{1}{\frac{2}{9}}=\frac{9}{2}[/tex] times the toy train's dimensions.

Length

[tex]15\times \dfrac{9}{2}=57.5\ \text{inches}[/tex]

Width

[tex]4\times \dfrac{9}{2}=18\ \text{inches}[/tex]

The length of the railroad car on the long island railroad is 57.5 inches.

The width of the railroad car on the long island railroad is 18 inches.

Answer: X=-6

Step-by-step explanation:

Answer:

B. -6

Step-by-step explanation:

Answer:

The first one is B The second one is D and the last one is A

Answer: Image #1: C. Distributuve Property Image #2: A. n + 2(7)

Step-by-step explanation: For Image #1, they used the Distributive Property because the number 3 was (distributed) and multiplied to both x and 7. The equation is saying that 3x + 21 = 42, and that we’re trying to solve for x. For Image #2, the answer is A. n + 2(7) because after you solve the expression, the answer would be 14n. When you look at the four options, (A. B. C. D.), letter A. would be the answer because it equals to 14n.

9514 1404 393

Answer:

  43.2 grams

Step-by-step explanation:

The exponential equation for the decay can be written as ...

  amount remaining = (initial amount)(1 -decay rate)^t

  = 570(1 -0.18)^t

We want to find the amount remaining after 13 minutes. Evaluating this equation for t=13, we have ...

  amount remaining = 570(0.82^13) ≈ 43.2 . . . grams

Answer:

-3

Step-by-step explanation:

[tex]\sqrt[3]{-27}[/tex] is -3 and can be proven by doing [tex]-3^{3}[/tex] as -3 x -3 x -3 of itself will give you -27, as [tex]\sqrt[3]{-27}[/tex] is just -27/-3/-3

Answer:

Try 120

Step-by-step explanation:

There are five dashes in between 100 and 200. Count up by 20s

Answer:

f(x) has been  translated to the  right one and down  five.

Step-by-step explanation:

Given

[tex]g(x)=f(x-1)-5[/tex]

Required

Determine the transformation

Taking the analysis one at a time

The relationship between f(x) and f(x - h) is that f(x) is translated h units to the right

So, when f(x) becomes f(x-1), it is as a result of f(x) being translated 1 unit to the right

The relationship between f(x) and f(x) - h is that f(x) is translated h units downwards

So, when f(x - 1) becomes f(x - 1) - 5, it is as a result of f(x - 1) being translated 5 units downwards.

Hence, option 2 answers the question

Answer:

1-75    2-105    3-35

Step-by-step explanation:

1-  180-75-30=75

2-  180-75=105

3-   180-105-40=35

Answer:

Yes, they are equivalent.

Answer:

(D) 24°

Step-by-step explanation:

(5x + 6)° + (3x)° + (142 - 4x)° = 180°

5x + 6 + 3x + 142 - 4x = 180

4x + 148 = 180

4x = 32

x° = 8°

m∠E = 3×8° = 24°

Answer:

No

Step-by-step explanation:

The sum of all internal angles on a triangle must equal 180°

[tex]28 + 64 + 100 = 192[/tex]

Answer:

The answer is A f(x)=-2x + 70

Step-by-step explanation:

3.866 microseconds? 7 x 522 nano seconds = 3.86600 ms

Answer:

No

Step-by-step explanation:

4 is larger than 1, and 2/3 is less than 1, so if you multiply 4 by anything less than 1 you get a product that is less that the first factor.

Answer:

No

Step-by-step explanation:

Answer:

Step-by-step explanation:

x= 0.079

y=-0.169

Answer: x= 0.079

y=-0.169

Step-by-step explanation:

Answer:

-273

Step-by-step explanation:

222- (99*5)

222-495

-273

Answer:

-273

(next time if their is options maybe also try and put them, it would help a lot)

Step-by-step explanation:

Part 1: 4x + 7 = 3(2x - 5)4x+7=3(2x−5)

4x+7=6x-154x+7=6x−15

7=6x-15-4x7=6x−15−4x

7=2x-157=2x−15

7+15=2x7+15=2x

22=2x22=2x

22=2x / 222=2x/2

x=11x=11

Part 2: Sam is not correct because he messed up the second step. He added 2x on both sides to get 7x, instead he should have subtracted.

Answer:

125.2 is your answer dear

Answer:

Step-by-step explanation:

2.53 x 105 is 265.65

1.3 x 108​ is 140.4

now, Subtract 2.53 x 105 from 1.3 x 108​

140.4 - 265.65

= -125.25

Hope this helps

plz mark as brainliest!!!!!!

Density = mass / volume

Density = 44,800 kg/ 5m^3

Density = 8,960 km/m^3