Exercise 6
Choose one of the rows from the conversion table in Exercise 5, and use models to prove your answers. (Models could include a 10×10 grid, a tape diagram, a double number line, etc.)

After simplifying the algebraic expression 9 { 9 b - [ 2 - 3 ( 9 b - 5 ) ] }, we get the result as 324 b - 153.

We are given the algebraic expression:

9 { 9 b - [ 2 - 3 ( 9 b - 5 ) ] }

We need to simplify the expression.

For this, we will use the BODMAS rule.

B - Brackets

O - Of

D - Division

M - Multiplication

A - Addition

S - Subtraction

So, simplifying the expression, we get that:

9 { 9 b - [ 2 - 3 ( 9 b - 5 ) ] }

= 9 { 9 b - [ 2 - 27 b + 15 ] }

= 9 { 9 b - 2 + 27 b - 15 }

= 9 { 9 b - 2 + 27 b - 15 }

= 81 b - 18 + 243 b - 135

= 324 b - 153

Therefore, after simplifying the algebraic expression 9 { 9 b - [ 2 - 3 ( 9 b - 5 ) ] }, we get the result as 324 b - 153.

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Answer:

2,400 foot-pounds

Step-by-step explanation:

Say at any instant x is length of Rope

Work done in lifting rope by dx amount will be:

dw = -(2.5x + 10)dx

w = -(40)∫(2.5x+10)dx

w = (2.5(40)^2) / 2 + 10(40)

w = 2000 + 400

w = 2,400 foot-pounds

Answer:

no solution

Step-by-step explanation:

if you plug in y=8-3x to 5y,

5(8-3x) the x's cancel out

40=20

^no real solution

Given

Stan's employer pays for 48% of his annual health insurance premium of $4,555.00. Stan pays the remaining balance by having it deducted in equal amounts from his 26 paychecks throughout the calendar year.

Answer

Remaining amount = 4555-2186.4 = 2386 . 6

The cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.

To find the cost of one hosta and one geranium, we can set up a system of equations based on the given information.

Let's assume the cost of one hosta is represented by 'h' and the cost of one geranium is represented by 'g'.

From the information given, we can set up the following equations:

Eugene's spending:

18h + 6g = $150

Jessica's spending:

7h + 16g = $113

We can now solve this system of equations to find the values of 'h' and 'g'.

Multiplying the first equation by 2 and the second equation by 3 to eliminate 'g', we get:

36h + 12g = $300

21h + 48g = $339

Now, we can subtract the second equation from the first to eliminate 'h':

(36h + 12g) - (21h + 48g) = $300 - $339

36h - 21h + 12g - 48g = -$39

15h - 36g = -$39

Simplifying further, we have:

15h - 36g = -$39

Now we can solve this equation for 'h' and substitute the value back into any of the original equations to find 'g'.

Let's solve for 'h':

15h = 36g - $39

h = (36g - $39) / 15

Substituting this value of 'h' into Eugene's equation:

18[(36g - $39) / 15] + 6g = $150

(648g - $702) / 15 + 6g = $150

648g - $702 + 90g = $150 * 15

738g - $702 = $2250

738g = $2250 + $702

738g = $2952

g = $2952 / 738

g ≈ $4

Now, substituting the value of 'g' back into Eugene's equation:

18h + 6($4) = $150

18h + $24 = $150

18h = $150 - $24

18h = $126

h = $126 / 18

h ≈ $7

Therefore, the cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.

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Answer:

f(6) = 12

Step-by-step explanation:

We are given the following function:

\(f(x) = x^2 - 5x + 6\)

Evaluate the function f(6).

This is \(f(x)\) when \(x = 6\). So

\(f(6) = 6^2 - 5(6) + 6 = 36 - 30 + 6 = 12\)

f(6) = 12 is the answer.

Answer:

I think it is d

Step-by-step explanation:

so sorry if it wrong i tried my best

Answer:

b for sure im not sure if there are any more

ugh i have this question and im not sure if there are any other answers

Step-by-step explanation:

Answer:

he spent 2hours 50minutes snowboarding

the time he spent skiing and snowboarding minus the time he skied

5hours minus 2hours 10minutes

Answer:

Constant of proportionality,  

Step-by-step explanation:

Constant of proportionality states that the constant value of the ratio of two proportional quantities x and y,

it is written in the form of y = kx, where k is the constant of proportionality.

Given the equation:                         .....[1]

where r is the constant of proportionality.

From the table we consider

x = 14 and y = 1.4

Substitute these given values in [1] to solve for r;

Divide both sides by 14 we get;

therefore, the Constant of proportionality,  

Answer:

Step-by-step explanation:

The milepost number of the rest area is 7 miles away from milepost 58, so it can be represented by the equation:

m = 58 + 7

This equation states that the milepost number of the rest area is equal to 58 plus 7, or 65. Therefore, the rest area can be located at milepost 65.

The probability that each bill is a $1 bill is given as follows:

1/16.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.

The bills are replaced, hence we consider that for each trial, there is a 1/4 probability of selecting a $1 bill, as one out of the four bills are of $1.

Hence the probability that each bill is a $1 bill is obtained as follows:

p = 1/4 x 1/4

p = 1/16.

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Answer:

5.5 or 5.50.

Step-by-step explanation:

2.75 x 3 = 8.25. that minus 2.75 = 5.50.

Answer:

$16.50 for two ice cream cones!

Step-by-step explanation:

Its very simple ^w^

$8.25 + $8.25

add both of the 0.25s to get 0.50

Then add 8 + 8 to get 16!

And then add 16 and 0.50 together and get 16.50

Brainliest maybe? owo

Hope this helps!!

Notice that the equation given:

4 x + 6 = x + 3

has been represented on the plane by graphing the lines:

y = 4 x + 6, and y = x + 3

and looked for the point at which they intersect.

That point is marked in blue, and we can read its coordinates:

x = -1 and y = 2

so the value for x is -1.

Then we say that the equation 4 x + 6 = x + 3 has for solution x = -1.

The graph is missing, so i have attached it.

Answer:

From 0 hours to 2 hours.

Step-by-step explanation:

From the attached graph, we can see that on the y-axis, denotes the level of ibuprofen in the patient’s bloodstream while the x-axis denotes the amount of hours after the ibuprofen was taken.

Now, looking at the graph, we can see that the curve goes up from a time of 0 hours which corresponds to 0 mg of ibuprofen to a time of 2 hours which corresponds to 400 mg of ibuprofen.

After that point, the curve begins to to go down. Since we are concerned with increase, we will make do with the first statement.

Thus, we can say the period at which the level of ibuprofen increased was from 0 hours to 2 hours.

Step-by-step explanation:

hope this will help you......

Answer:

54,18

Step-by-step explanation:

for example the number 36 can be as a product of primes as 36=2 exponents two x 3 exponents 2 the expression 2 exponents 2 x 3 exponents 2 is said to be on the prime factorization of 36

Answer:9/41

SOH = opposite over hypotenuse

Step-by-step explanation:

Answer:

Step-by-step explanation:

Just like any shape and/or geometry in general they are very important. Regardless of what you will ultimately study they can be used in many normal life scenarios. Since everything in our world is a shape you may need to calculate if something may fit somewhere, or if a certain fence can be made a certain way. This also applies to parallelograms, maybe you are trying to build a cabinet that will go in the corner, but the corner is not a 90 degree angle, knowing parallelograms and geometry can help you design and build the best cabinet.

A. The distributions of the periods is that using the five number summary is that

B. The box and whisker plot of the periods is attached

From the question, we have the following parameters that can be used in our computation:

7th Period

66, 72, 77, 78, 78, 80, 82, 84, 84, 87, 88, 88, 89, 89, 90 92, 92, 93, 94, 94 96, 96

3rd Period

52, 60, 62, 64, 64, 65, 68, 71, 72, 74, 75, 76, 78, 79, 83, 84, 85, 88, 89, 93, 94, 97

The distributions of the periods will be compared using the five-number summaries

Using a graphing tool, the five-number summaries are:

7th Period

3rd Period

The box and whisker plot of the periods is added as an attachment

From the box and whisker plot attached, we can see the five-number summaries of the periods

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Given data

*The given circumference of each table is C = 12.6 feet

*The surface area is a = 70 sq. feet

*The number of identical tables is n = 5

The expression for the circumference of the circle is given as

Substitute the values in the above expression as

The expression for the area of the circle

Substitute the values in the above expression as

Comparing the total area with the given area as we get he will able to paint all the tables as the total area of the table is less than the area.

Answer: C

Step-by-step explanation:

Answer:

CAB is 37 degrees

Step-by-step explanation:

90 + 53 = 143

180 - 143 = 37

Answer:

The last one

Step-by-step explanation:

The equation of the line of best fit is ŷ = 0.8x + 3.3

From the question, we have the following parameters that can be used in our computation:

X- 14 16 29 42 43 44 47 48

Y- 11 17 31 35 37 37 38 43

When these values are entered in a graphing calculator, we have the following summary:

For the regression equation, we have

ŷ = bX + a

Where

b = SP/SSX = 1055.63/1343.88 = 0.78551

a = MY - bMX = 31.13 - (0.79*35.38) = 3.33764

So, we have

ŷ = 0.78551x + 3.33764

Approximate

ŷ = 0.8x + 3.3

Hence, the equation is ŷ = 0.8x + 3.3

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Answer:

5 days

Step-by-step explanation:

Price of seasons pass deal: $380

No pass:

1 day: $98

2 days: $166

3 days: $234

4 days: $302

5 days: $400

Answer:

4/15

Step-by-step explanation:

4/15 = 0.26666666...

Answer:

-x+1 < 5

Step-by-step explanation:

Not sure what the question is?

Answer:

-x + 1 < 5

Step-by-step explanation:

negative x plus 1 is less than 5

-x + 1 < 5

-TheUnknownScientist