Choose the graph of the solution to this inequality - 6x < 21

Answer:

Step-by-step explanation:

[tex]2x^2-8x=2x times 2x-8x=4x-8x=-2x[/tex]

Hope this helps :)

Answer:

Exact Form:

11/6

Decimal Form:

1.83

Mixed Number Form:

1 5/6

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Answer:

Step-by-step explanation:

What is the rest of the equation? I will edit/fix the answer after you finish the equation.

Answer:

x = -4

Step-by-step explanation:

6x + 29 = 5

     +29      -29

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

6x = -24

÷6      ÷6

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

x = -4

6(-4) = -24 + 29 = 5

Step-by-step explanation:

Given

Volume (V) = 313 in³

π = 3.14

Height (h) = 16 in

Radius (r) = ?

We know.,

Volume of cone (V)

[tex]313 = \frac{1}{3} \pi {r}^{2}h [/tex]

[tex]313 \times 3 = 3.14 \times 16 \times {r}^{2} [/tex]

[tex]939 = 50.24 {r}^{2} [/tex]

[tex]18.69 = r^{2} [/tex]

[tex]r = \sqrt{18.69} [/tex]

r = 4.32 in

[tex]( hope \: it \: will \: help})[/tex]

Answer:

88

Step-by-step explanation:

First we do what is inside the parenthesis:

(6+2)=8

Then we do:

[tex]8^{2}[/tex]=64

So:

[tex]14+[64 + 10][/tex]

Then we do brackets:

14+{74}

Then we add:

88

Answer: 88

Step-by-step explanation:

    14 + ((6 + 2^)2 + 10)

Remove parentheses.

    14 + (6 + 2)^2 + 10

Simplify each term.

Add 6 and 2.

    14 + 8^2 + 10

Raise 8 to the power of 2.

    14 + 64 + 10

Simplify by adding numbers.

Add 14 and 64.

    78 + 10

Add 78 and 10.

    88

It is A: Condensation.

Condensation is the process by which water vapor in the air is changed into liquid water. Condensation is a apart of the  water cycle because it is responsible for the formation of clouds.

Answer: a. Total cost = 3g+2

b. The total cost of 8 games is $26.

Step-by-step explanation:

Given: Cost to bowl a game = $3

Shoe rental charge = $2  (One -time charge)

Total cost = (Cost to bowl a game) x (Number of games)+ (Shoe rental charge )

Let g= number of games, then the expression to find the total cost will be :

Total cost = 3g+2

To find the total cost of 8 games, put g=8, we get

Total cost = 3(8)+2

= 24+2 = $26

Therefore , the total cost of 8 games is $26.

Answer:

116 hamburgers

Step-by-step explanation:

divide 348 by 3. since cheese burgers were sold two times more than hamburgers, the answer would be 116.

Answer:5/8

Step-by-step explanation: transform the expression 8 so 7-2/8 =5/8

Answer:

5/8.

Step-by-step explanation:

Answer:

the correct answer is 257

Answer:

The quotient is (x-2)

Step-by-step explanation:

Answer:

10+x/3

Step-by-step explanation:

Answer:

58.40

Step-by-step explanation:

292 ÷ 5 = 58.40

hope this helps...

Answer:

58.40

Step-by-step explanation:

292 divided by 5 = 59.40

Answer:

you should put 20 points if you answer the question+ brainliest. if you dont people will think its free for example. I have a question you can answer to get your points back, just say something random. Sorry I couldnt help you but thanks for the points.

Step-by-step explanation:

16) k=176 hope you get to a point were your not failing

Answer: 1/12

Step-by-step explanation:

Answer:

The answer is 8/5. Hope you do great!:)

Step-by-step explanation:

Answer:

$25

Step-by-step explanation:

First, you would do 80 x $0.25 = $20.  (Meaning 80 math problems he answered correctly times the $0.25 he got for each one correct.)

Next, you do $45 - $20 which equals $25.

In conclusion, he gets $25 from his uncle.

Answer:

x=12

Step-by-step explanation:

since they are supplementary they will have a sum of 180 degrees

The equation should look like this- (5x+4)+(4x+80)=180

after solving the equation- you get x=12

in order to see if that is correct you would plug in 12 where x is in our equation (5x+4)+(4x+80). which does equal 180 when 12 is plugged in

Therefore, 12 is your answer

Answer:

Y=70

X=110

Step-by-step explanation:

if the inside of a triangle equals 180, than 70 plus 40 equals 110 which mean Y =70. if a straight line eguals 180 as well 180-70= 110 X= 110

Question:

Find the mean and compare it with the median. Find the standard deviation and compare it with the interquartile range. Calculate s for the data 4, 1, 3, 10, 2.

Answer:

(a)

[tex]Mean = 4[/tex]

[tex]Median=3[/tex]

[tex]Mean > Median[/tex]

(b)

[tex]IQR = 2[/tex]

[tex]SD = 3.2[/tex]

[tex]SD> IQR[/tex]

Step-by-step explanation:

Given:

Data: 4, 1, 3, 10, 2.

Solving (a): The mean and the Median

The mean is calculated as follows:

[tex]Mean = \frac{1}{n} \sum x[/tex]

Where

[tex]n = 5[/tex] i.e 5 data

So, the expression becomes:

[tex]Mean = \frac{1}{5}(4 + 1+3+10+2)[/tex]

[tex]Mean = \frac{1}{5}(20)[/tex]

[tex]Mean = 4[/tex]

Calculating the Median:

First, arrange the order (ascending order):

[tex]Data: 1, 2,3,4,10[/tex]

Because n is odd

The median is represented as:

[tex]Median = (\frac{n+1}{2})th\ item[/tex]

[tex]Median = (\frac{5+1}{2})th\ item\\[/tex]

[tex]Median = (\frac{6}{2})th\ item[/tex]

[tex]Median = 3rd\ item[/tex]

From the arranged data, the 3rd item is 3.

Hence:

[tex]Median=3[/tex]

By comparison, the mean is greater than the median because [tex]4 > 3[/tex]

Solving (b): Standard Deviation and IQR

The standard deviation is calculated as follows:

[tex]SD= \sqrt{\frac{\sum (x_i - Mean)^2}{n}[/tex]

So, we have:

[tex]SD= \sqrt{\frac{(4 - 4)^2+(1 - 4)^2+(3 - 4)^2+(10 - 4)^2+(2 - 4)^2}{5}[/tex]

[tex]SD= \sqrt{\frac{(0)^2+(- 3)^2+(- 1)^2+(6)^2+(-2)^2}{5}[/tex]

[tex]SD= \sqrt{\frac{0+9+1+36+4}{5}[/tex]

[tex]SD= \sqrt{\frac{50}{5}[/tex]

[tex]SD= \sqrt{10}[/tex]

[tex]SD = 3.2[/tex]

Calculating IQR

[tex]IQR = Q_3 - Q_1[/tex]

[tex]Data: 1, 2,3,4,10[/tex]

In (a), we calculate the median as:

[tex]Median=3[/tex]

First, we calculate [tex]Q_1[/tex]

[tex]Q_1 = Median\ of\ the\ first\ half.[/tex]

The first half is:

[tex]First\ Half = 1,2,3[/tex]

So:

[tex]Q_1 = 2[/tex]

First, we calculate [tex]Q_3[/tex]

[tex]Q_3 = Median\ of\ the\ second\ half.[/tex]

[tex]Second\ Half = 3,4,10[/tex]

So:

[tex]Q_3 = 4[/tex]

Recall that:

[tex]IQR = Q_3 - Q_1[/tex]

[tex]IQR = 4 - 2[/tex]

[tex]IQR = 2[/tex]

So, we have:

[tex]IQR = 2[/tex]

[tex]SD = 3.2[/tex]

By comparison, the standard deviation is greater than the IQR because:

[tex]3.2 > 2[/tex]

So,

[tex]SD> IQR[/tex]

Answer:i know number one its true

Step-by-step explanation: thats all i know

Answer:

Converse: If two angles are supplementary then they add up to 180 degrees.

Inverse: If two angles are not supplementary then they do not add up to 180 degrees.

Contrapositive: If angles do not add up to 180 degrees, then the two angles are not supplementary.

Step-by-step explanation:

In logic the converse of an implication is obtained by reversing its two constituent statements. That is, for  P → Q, then the converse is Q → P.

The inverse of a conditional statement involves the negation of both the hypothesis and conclusion. That is, for p → q, the Inverse is  ~p → ~q note that ~ stands for NOT in the negation of the statement.

For a  contrapositive of any conditional statement, we interchange the hypothesis and the conclusion of the inverse statement as shown in statement III in the answer above.