which reason would be used to justify the last step in the proof below​

Answer:

1.23 x 10^-2

Answer:

Both are equal prices per can

Step-by-step explanation:

9/12 = 3/4 = .75 per can

3/4= .75 per can

Step-by-step explanation:

first, we define the line.

the slope is -3 (as for every increase of x by 1 unit, y changes by -3 units, which makes the slope -3/1 = -3).

the y-intercept is 2.

so, the line is

y = -3x + 2

now the graph shows that we need to define all y values that are below (and that means smaller than) the result values of the line function.

the line is not included.

therefore the inequality is

y < -3x + 2 or 3x + y < 2

Answer:

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

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

[tex] \\ = \frac{8 - 3 - 10}{12} [/tex]

[tex] \\ = \frac{8 - 13}{12} [/tex]

[tex] \\ = \frac{ - 5}{12} [/tex]

the answer is 19 percent

The percentage of teens and young adults in the pie chart that represents retail jobs is 19%.

A Pie chart is a type of graph that displays data in a circular graph.

The pie chart above is used to represent the percentage of young adults and teen that works in various industry.

The industries represented in the pie chart includes leisure and hospitality, retails trade, education and health sector, Manufacturing, construction, government and many more.

Therefore, the percentage of teens and young adults that represents retail jobs is 19%.

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Answer:

14x

Step-by-step explanation:

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

Answer: r = 1

Step-by-step explanation:

The slope of a line can be represented as [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].  Plugging in the following values would provide you with:

[tex]\frac{(r)-(-5)}{(5)-(2)} =2[/tex]

[tex]\frac{r + 5}{3} = 2[/tex]

[tex]r + 5 = 6[/tex]

[tex]r = 1[/tex]

Hope it helps :) and let me know if you want me to elaborate on anything.

Answer:

4

Step-by-step explanation:

Answer:

La respuesta seria 3 espero que esto ayude

Step-by-step explanation:

Answer:

Step-by-step explanation:

A = 1/4√5(5+2√5)a²

x = 5

explanation:

3 + 4.5 = 7.5 to get the side of the big triangle

set up a proportion

[tex]\frac{3}{7.5} =\frac{2}{x}[/tex]

3x=7.5(2)..........cross multiply

3x=15.................multiply

x=5.....................divide both sides by 3

Answer:

Step-by-step explanation:

[tex]\frac{3}{2} =\frac{7.5}{x} \\[/tex]

3x = 15

x = 5

The velocity of the car is the rate of change of distance over time.

The car comes to a complete stop at 12 seconds

The velocity function is given as:

[tex]\mathbf{V(t) = 0.5t^2 - 8t + 24}[/tex]

When the car comes to a complete stop, V(t) = 0.

So, we have:

[tex]\mathbf{0.5t^2 - 8t + 24 = 0}[/tex]

Expand

[tex]\mathbf{0.5t^2 - 6t - 2t + 24 = 0}[/tex]

Factorize

[tex]\mathbf{0.5t(t - 12) - 2(t - 12) = 0}[/tex]

Factor out t - 12

[tex]\mathbf{(0.5t - 2)(t - 12) = 0}[/tex]

Split

[tex]\mathbf{(0.5t - 2) =0\ or\ (t - 12) = 0}[/tex]

Solve for t

[tex]\mathbf{0.5t =2\ or\ t = 12}[/tex]

This gives

[tex]\mathbf{t =4\ or\ t = 12}[/tex]

12 > 4.

Hence, the car comes to a complete stop at 12 seconds

Read more about velocity and time at:

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Answer:

$3.07

Step-by-step explanation:

First add up all of the costs:

3.49+3.49+2.79+2.79+2.79=15.35

Then divide this by the 5 friends:

15.35÷5=3.07

Answer:

Step-by-step explanation:

3,2

Answer:

2,3 because the point is inside the origin or equivalent so the answer has to be 2,3

Answer: .55

55/100

Step-by-step explanation:

Option 2. Both lines have the same slope but start at a different y-intercept so they would be parallel. The other choices are false as well.

Answer:

32 seconds

Step-by-step explanation:

The median is the exact middle of the data after putting the data in order. In this example, it would be 32 seconds.

23, 23, 28, 31, 32, 34, 47, 49, 56

Answer:

22w - 18

Step-by-step explanation:

To find the perimeter we have to add up all the sides

10w-10+w+1+10w-10+w+1

combine light terms

22w - 18 would be our answer

Answer:

2(10w-10)+2(w+1) =

20w-20+2w+2 =

22w-18

Answer:

Q1 = 13.5

Q3 = 17.5

Step-by-step explanation:

6d) ===============

12, 12, 13, 14, 14, 17, 17, 17, 17, 18, 19, 20

I counted 12 numbers in this set. The median is the middle number of a sorted set. It's also the 2nd quartile as it is 2 quarters in, or 50% in.

First, find the median. In an even-numbered set, that's the average of the 2 middle numbers. In this case, it's between 17 and 17:

12, 12, 13, 14, 14, 17 === 17, 17, 17, 18, 19, 20

Now the set is split into 2 sets with 6 numbers each. Now, find the median of each of those sets. Again, the median of an even-numbered set is the average of the 2 middle numbers.

To find the first quartile (Q1), find the median of the lower set.

12, 12, 13 === 14, 14, 17

The median here is the average of 13 and 14, so 13.5.

6e) ==============

Exactly the same process as above.

7, 12, 12, 13, 14, 14, 17, 17, 17, 18, 19, 20

12 numbers again.

7, 12, 12, 13, 14, 14 === 17, 17, 17, 18, 19, 20

Now, to find the third quartile, find the median of the upper set.

17, 17, 17 === 18, 19, 20

The median is the average of 17 and 18, or 17.5.

answe:

102/13.65= 7.47m/s

then multoply by 3600 to get per hour

26.9 km/h

Answer:

plus and minus

Step-by-step explanation:

example : 3 ± 5 = 8 or -2  

Hello!

The symbol + means "plus or minus"

It means we either add or subtract 4.

Example: 2+4=6 or -2

Hope it helps!

~Just a felicitous teen

#CarryOnLearning

[tex]SilentNature :-)[/tex]

Answer:

B

Step-by-step explanation:

B because 12;18+16=B

Answer:

Find the missing value in the

equivalent ratio 12:18 = 16:

Choose

A.20

B.24

C.28



we have that

12:18 is the same that 12/18

simplify

12/18=6/9=2/3

Multiply by 8/8

(2/3)*(8/8)=16/24

therefore

the answer is the option B

Step-by-step explanation:

Answer:

77 in.

Step-by-step explanation:

Peter: 75.25 in.

Steve: 75.25 in. + 1.75 in. = 77 in.

Answer:

6

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

4

very simple algebric question...hope its help you

Answer 1.085

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The bus pass cost per day will be $1.05 per day.

The rate is the ratio of the amount of something to a certain unit.

For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

Parenthesis, Exponent, Multiplier, Division, Adding, and Subtraction is referred to as the PEMDAS rule. To answer the problem properly and accurately, this rule is applied.

Joyce buys a bus pass for the month of March for $32.55.

In March month, there are 31 days. Then the bus pass cost per day is given by dividing the cost of $32.55 by 31.

⇒ $32.55 / 31

⇒ $1.05 per day

The bus pass cost per day will be $1.05 per day.

More about the rate link is given below.

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Answer:

After substituting We multiply 5 with 9.

Step-by-step explanation:

Given Expression 5 + ( 9x - 3 ) ÷ 2

5 + ( 9 × 5 - 3 ) ÷ 2

5 + ( 45 - 3 ) ÷ 2

5 + ( 42 ) ÷ 2

5 + 21

26

Answer:

18/12

Step-by-step explanation:

Answer:

5/3 or u could make it 5/4 since only 2 n 4 can have 2468 u cant put 4 back

Step-by-step explanation: