Ryan is moving, and he is packing a box with plates and bowls. The box can only hold 12 pounds. Each plate weighs 1.2
pounds, and Ryan has already packed 4 plates in the box. Each bowl weighs 0.9 pounds. Which Inequality could be used to
find b, the number of bowls that can be added to the box?
OA. 4(1.2) + 0.90 <12
OB. 4(1.2 +0.9b) 12
OC. 4(1.2) + 0.96 > 12
OD. 4(1.2 + 0.9b) 12

Answer:

x = 13

m<RST = 155°

m<RSU = 102°

Step-by-step explanation:

m<RST = (12x - 1)°

m<RSU = (9x - 15)°

m<UST = 53°

m<UST + m<RSU = m<RST (angle addition postulate)

53 + (9x - 15) = (12x - 1) (substitution)

Solve for x

53 + 9x - 15 = 12x - 1

53 - 15 + 9x = 12x - 1

38 + 9x = 12x - 1

Subtract 12x from each side

38 + 9x - 12x = 12x - 1 - 12x

38 - 3x = - 1

Subtract 38 from each side

38 - 3x - 38 = -1 - 38

-3x = -39

Divide both sides by -3

x = 13

m<RST = (12x - 1)°

Plug in the value of x

m<RST = 12(13) - 1 = 156 - 1 = 155°

m<RSU = (9x - 15)°

m<RSU = 9(13)x - 15 = 117 - 15 = 102°

The measures of each angle are:

m<RSU = 102°

m<RST = 155°

m<UST = 53°

The given parameters are:

m<RST  =  (12x  -  1)°

m<RSU =  (9x - 15)°

m<UST =   53°

Note that:

m<RST  =  m<RSU  +  m<UST

Substitute m<RST  =  12x  -  1, m<RSU =  9x - 15, and m<UST =   53 into the equation above in order to solve for x

m<RST  =  m<RSU  +  m<UST

12x - 1  =  9x - 15   +  53

12x - 9x  =  -15 + 53 + 1

3x   =  39

x  =  39/3

x  =  13

To find the measure of <RST, substitute x = 3 into m<RST = 12x - 1

m<RST = 12(13) - 1

m<RST = 155°

To find the measure of <RSU, substitute x = 3 into m<RSU = 9x - 15

m<RSU = 9(13) - 15

m<RSU = 102°

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Answer:

(x^3 + 6x^2 + 11x + 6)/(3(x-2)(x+3))

Step-by-step explanation:

(x + 1)/(3x + 9) * (x ^ 2 + 5x + 6)/(x - 2)

(x^3 +5x^2 +6x +x^2 + 5x + 6)/(3x^2 - 6x + 9x -18)

(x^3 + 6x^2 + 11x + 6)/(3x^2 + 3x - 18)

(x^3 + 6x^2 + 11x + 6)/(3(x-2)(x+3))

A rational number means it doesn't have a decimal that repeats. For example, 2/3 or 0.66....

There is only one number between 9.5 and 9.7. This number is 9.6.

The decimal doesn't repeat or go on forever so its rational.

Answer: 9.6

Best of Luck!

Answer:

9.6

Step-by-step explanation:

decimals are rational so ye

Answer:

The Factor is 1.5

Step-by-step explanation:

5.1(which is B'C') divided by 3.4(which is BC) = 1.5

3.6(A'C') divided by divided by 2.4(AC) = 1.5

2.7(A'B') divided by 1.8(AB) = 1.5

Henceforth the factor is 1.5  

Answer:

50$

Step-by-step explanation:

25 percent more means 1 and 1/4 of original price

aka 5/4

(5/4)(40)

50

OR

1/4 of 40 is 10

10 plus 40 is 50

Answer:

Step-by-step explanation:

[tex]Original \:price =\$40\\Percentage\:increase =25\%\\\\\frac{25}{100} \times 40\\\\= \frac{1000}{100} \\\\= \$10\\\\New\:price = \$40 +\$10\\= \$50[/tex]

Answer:

8

Step-by-step explanation:

x-6+4+5-8-3=0

x-8=0

x=8

Answer:

option 4.    17

Step-by-step explanation:

sum of angles = exterior angle x n

360° = 21.2° n

n = 360 / 21.2

n = 17

Number of sides of the regular polygon with exterior angle 21.2° is equals to 17 sides.

" Polygon is defined as the two dimensional geometric shape which has n number of finite sides."

Formula used

360° = (Exterior angle of polygon ) × ( number of sides of polygon)

According to the question,

Given,

Exterior angle of a regular polygon =  21.2º

'n' represents the number of sides

Substitute the value in the formula to get number of sides,

[tex]360\°= (21.2\°) (n)[/tex]

⇒ [tex]n = \frac{360\°}{21.2\°}[/tex]

⇒ [tex]n= 16.98[/tex]

⇒ n≈ 17 sides

Hence, number of sides of the regular polygon with exterior angle 21.2° is equals to 17 sides.

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Answer:

126

Step-by-step explanation:

By cyclic quadrilateral theorem:

[tex](180 \degree - 85 \degree) = \frac{1}{2} (z \degree + 64 \degree) \\ 95 \degree \times 2 = z \degree + 64 \degree \\ 190 \degree = z \degree + 64 \degree \\ 190 \degree - 64 \degree = z \degree \\ 126\degree = z \degree \\ z = 126[/tex]

Answer:

13 miles

Step-by-step explanation:

3 1/4 can be changed to 3.25

Then multiply 3.25 (the time) and 4 (the distance per hour) to get 13.

Answer:

She walked 7 miles. If it takes her one hour to walk 4 mile, then it will take 45 hours to walk 3 miles.

Step-by-step explanation:

Plz Mark me as brainliest

Answer:

3

Step-by-step explanation:

Simplifying

5x + -2 = 3x + 4

Reorder the terms:

-2 + 5x = 3x + 4

Reorder the terms:

-2 + 5x = 4 + 3x

Solving

-2 + 5x = 4 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

-2 + 5x + -3x = 4 + 3x + -3x

Combine like terms: 5x + -3x = 2x

-2 + 2x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0

-2 + 2x = 4 + 0

-2 + 2x = 4

Add '2' to each side of the equation.

-2 + 2 + 2x = 4 + 2

Combine like terms: -2 + 2 = 0

0 + 2x = 4 + 2

2x = 4 + 2

Combine like terms: 4 + 2 = 6

2x = 6

Divide each side by '2'.

x = 3

Simplifying

x = 3

Answer: Kukui (Hawaii) has the greater average rainfall than Melchior (Antarctic Peninsula) by 8,099.2 millimetres.

Step-by-step explanation:

Given: The average rainfall amounts for two of the world's wettest places:

Kukui (Hawaii): 9,293 millimetres              

Melchior (Antarctic Peninsula): 47 inches

Since 1 inch = 25.4 millimetres

∴ 47 inches = 47 × 25.4 millimetres

= 1193.8 millimetres

i.e. Melchior (Antarctic Peninsula) has 1193.8 millimetres of average rainfall.

Clearly,  9,293 millimetres> 1193.8 millimetres

So, Kukui (Hawaii) has the greater average rainfall .

Difference = 9293 - 1193.8 = 8099.2 millimetres

So Kukui (Hawaii) has the greater average rainfall than Melchior (Antarctic Peninsula) by 8,099.2 millimetres.

Answer:

40

Step-by-step explanation:

[tex] \frac{q}{10} = 4[/tex]

..

Convert element into fraction :4=4/1

[tex] \frac{q}{10} = \frac{4}{1} [/tex]

cross multiply

[tex]q = 10 \times 4 \\ q = 40[/tex]

Answer:

q=40

Step-by-step explanation:

[tex]\frac{q}{10}=4\\10(\frac{q}{10})=4(10)\\q=40[/tex]

Answer:

I'm pretty sure its C.

Step-by-step explanation:

( -6, 4 ), ( -6, -2 ) the x stays the same but the y goes down by 6 points.

( 3, 4 ) if you subtract 6 from 4 you get -2 making the next coordinate ( 3, -2 ) or C.

Hopefully this isn't too late! :)

Answer:

x = 4

Step-by-step explanation:

∆ABC ~ ∆DEF

--> AB/DE = BC/EF

--> x / 3 = 8 / 6

--> x / 3 = 4 / 3

--> x = 4

Answer:

(rs)(4) = 8x

(r/s)(3) = 3

Step-by-step explanation:

(2√x (√x)) (4)

(2x) (4)

8x

(√x / √x) (3)

1 (3)

3

Answer:

The answer to the first one is 8.

The answer to the second one is 2.

Step-by-step explanation:

Just got it right on edge.

Answer:

P(1, B) = 1/12

Step-by-step explanation:

if given one group of 3 objects, in this case tennis balls labeled 1, 2, and 3. And another group of 4 objects, labeled a, b, c, and d. the combined probability would be 1/3 * 1/4 = 1/12. This is because there is a 1/3 chance of picking one particular object from a set of 3 total objects, and a 1/4 chance of picking one particular object from a set of 4 total objects.

The probability of drawing 1 numbered ball in the first attempt and then drawing B numbered ball in the second attempt is 1/42.

Conditional probability is when occurrence of an event depends upon the occurrence of another event.In case of without replacement one event is dependent on another.

According to the given question

Steven has one bag that contains three table tennis balls numbered 1, 2, and 3. He also has a second bag that contains four table tennis balls lettered A, B, C, and D and Steven combined the table tennis balls into one large bag instead of two individual bags.

Here we don't need to find the probabilities individual bags.

So after he combined them into one large bag there are 7 balls in that large bag namely 1, 2, 3, A, B, C, D

P(1) = 1/7

with without replacement there is now 6 balls in the large bag

∴ p(B) = 1/6

So the probability of drawing 1 numbered ball  in the first attempt and then B numbered ball  in the second attempt is p(1)p(B)

∴P(1,B) is

= (1/7)×(1/6)

= 1/42.

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Answer:

Option B.

Step-by-step explanation:

From the given statements the true about the process of statistics. are:

1. Data are typically collected from a sample because it is too difficult and expensive to collect data from an entire population.

2. When the results from a sample are extended to the population, it is called inference.

3. If data are not collected properly, the conclusions that are drawn will be meaningless.

But, the first step in the process of statistics is to collect the data. This is not true about the process of statistics because the first step in the process of statistics is identify the research objective.

Therefore, the correct option is B.

The statement about the process of statistics that is not correct is: B. The first step in the process of statistics is to collect the data.

Therefore, the statement about the process of statistics that is not correct is: B. The first step in the process of statistics is to collect the data.

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Answer:

2:4

Step-by-step explanation:

Numbers 1 and 2 are correct.

Question 3:

We can see in each figure, the number of rows matches the figure amount. For example, figure 1 has 1 row, figure 2 has 2 rows, figure 3 has 3 rows, etc. Another thing we can see is that one block gets added to each column in every figure. If we count starting from 3 and keep adding 1 for each column, we get 22 blocks for one column. In figure 20, there will be 20 rows and 22 columns. We also have to keep in mind that they add 2 extra blocks at the top and bottom that stick out like the ones shown. In total, figure 20 will consist of 442 blocks.

Question 4:

[(2 + f) * (f)] + 2 = b

(2 + f) represents the number of blocks in each column.

(f) represents the number of blocks in each row.

2 represents the two extra blocks in each figure.

Note that f in this equation equals the number of the figure. For example, figure 3 is f = 3

We can test our equation with figure three.

[(2 + f) * (f)] + 2 = b

We have figure three so f = 3. Substitute and solve.

[(2 + 3) * (3)] + 2 = b

[5 * 3] + 2 = b

15 + 2 = b

17 = b

In the example, the number of blocks is 17. Therefore, this equation works for any figure.

Best of Luck!

Answer:

We will see that the number of rows in each figure corresponds to the figure amount. Figure 1 has one row, figure 2 has two rows, figure 3 has three rows, and so on. Another thing we can see is that in each diagram, one block is attached to each column. We get 22 blocks for one column if we count from 3 and keep adding 1 for each column. There will be 20 rows and 22 columns in Figure 20. We must also remember that they add two additional blocks at the top and bottom that protrude like the ones shown. Figure 20 will have a limit of 442 blocks.

4th question:

[(2 + f) * (f)] [(2 + f) * (f)] [(2 + f) 2 + 1 = b

The number of blocks in each column is represented by (2 + f).

The number of blocks in each row is represented by (f).

We will see that the number of rows in each figure corresponds to the figure amount. Figure 1 has one row, figure 2 has two rows, figure 3 has three rows, and so on. Another thing we can see is that in each diagram, one block is attached to each column. We get 22 blocks for one column if we count from 3 and keep adding 1 for each column. There will be 20 rows and 22 columns in Figure 20. We must also remember that they add two additional blocks at the top and bottom that protrude like the ones shown. Figure 20 will have a limit of 442 blocks.

4th question:

[(2 + f) * (f)] [(2 + f) * (f)] [(2 + f) 2 + 1 = b

The number of blocks in each column is represented by (2 + f).

The number of blocks in each row is represented by (f).

Answer:

360/15 = 24

Step-by-step explanation:

Answer:

15.9% of the data will be greater than 235.3.

Step-by-step explanation:

Use a calculator with statistical functions.  In this case you'll need the cumulative normal distribution:  normcdf(.

Evaluate the following:  normcdf(235.3, 10000,186.4, 48.9):

We get:  0.159, or 15.9%

15.9% of the data will be greater than 235.3.

The range of value X > 284.2 of data will be greater than 235.3.

A Z-Score is a statistical measurement of a score's relationship to the mean in a group of scores.

We know that the upper 2.5% of data would be 97.5% of data.

We will use a z-score formula to solve our given problem.

[tex]\rm z=\dfrac{x-\mu}{\sigma}[/tex]

Where; z = z-score,

x = Random sample score,

[tex]\mu[/tex] = Mean,

[tex]\sigma[/tex] = Standard deviation.

We will use a normal distribution table to find a z-score corresponding to 97.5% area or 0.975.

We can see from the normal distribution table that the z-score corresponding to the area of 0.975 is 1.96.

[tex]\rm 1.96=\dfrac{x-186.4}{48.9}\\\\1.96 \times 48.9 =x-186.4\\\\x = 186.4 +95.84\\\\x=282.84[/tex]

Hence, the range of value X > 284.2 of data will be greater than 235.3.

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Answer:

b) in the vertex.

Step-by-step explanation:

In the vertex. If the parabola opens up or down the axis of symmetry is x = a where a is the x coordinate of the vertex.

If it opens to the left or right the axis is y = a where a is the y-coordinate if the vertex.

Answer:

[tex]f(3)=30[/tex]

Step-by-step explanation:

So we have the function:

[tex]f(x)=4x^2-6[/tex]

To find f(3), substitute 3 for x. Thus:

[tex]f(3)=4(3)^2-6[/tex]

Square:

[tex]f(3)=4(9)-6[/tex]

Multiply:

[tex]f(3)=36-6[/tex]

Subtract:

[tex]f(3)=30[/tex]

And we're done!

Answer:

if the polling were done during working hours, those who work outside the home would not be included-undercoverage of the groupe. the 60% is probably higher than the true population proportion. face-to-face visits might make those at home likely to say they would volunteer.  

Step-by-step explanation:

Answer:

geometric progression

Step-by-step explanation:

RICHIE! ANSWER MY COMMENTS!

Answer:

158,400

Step-by-step explanation:

Answer:

If x = 0, then f(0) = -15

If f(x) = 27, then x = 3

Answer:

33

Step-by-step explanation:

f(x) = 4x-3

Let x= 9

f(9) = 4*9 -3

     36-3

     33

Answer:

[tex]\Huge \boxed{{x=3}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

f(x) = 4x - 3

f(x) = 9

Substituting.

9 = 4x - 3

Adding 3 to both sides.

12 = 4x

Dividing both sides by 4.

3 = x

[tex]\rule[225]{225}{2}[/tex]

Answer:

The constant in an algebraic expression is the number part of the expression for example.. IN 2x 2 is the constant it doesn't change and x is variable it may vary