4 1/2 divide by 1 5/6

a) Assuming the problem statement means the edge length of the cubical case is 3w, three times the width of the artifact, the volume of the case is ...

V = s³ . . . . . . volume of a cube with edge length s

V = (3w)³

b) The expression can be simplified by applying the rules of exponents, distributing the exponent to the contents of parentheses.

V = 3³w³

V = 27w³

Sal is 10 years old. If you want to check you can do 10*4+5 and get 45

30 bass and 5 perch, so then you will bet minimal costs

Leticia needs to take the 21/8 yards to earn enough to buy a music player that costs $45 and this can be determined by forming the linear equation.

Given :

The following steps can be used to determine the equation that shows how many more times Leticia needs to take the yard to earn enough to buy a music player that costs $45:

Step 1 - Let the number of yards she takes after she earns $24 be 'x'.

Step 2 - The amount she needs to earn to buy a music player is:

= 8x

Step 3 - The linear equation according to the given data is given by:

24 + 8x = 45

Step 4 - Simplify the above equation.

8x = 21

[tex]\rm x = \dfrac{21}{8}[/tex]

Leticia needs to take the 21/8 yards to earn enough to buy a music player that costs $45.

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Solution

Number of weeks in a year = 52 weeks

If in a normal year when each package of flea treatment lasts for 4 weeks, then in a year there Jim's dog will have to be treated for

[tex]\frac{52}{4} =13 times[/tex]

Where as, when the fleas are bad in a year, the treatment lasts for only 3 weeks.

Then in a year Jim's dog would get

[tex]\frac{52}{3} =17 times[/tex]

So Jim's dog will get 17- 13 =4 treatments more.

4 treatments that are made in 3 weeks each will be 4×3 =12 weeks more treatment

The Number treatments is the ratio of the number of weeks in a year and the number weeks per treatment. Hence, Jim's dog would get 4 more treatments due to the bad weather.

Number of weeks in a year = 52

The number of flea treatment he'll get in a year can be calculated thus :

Normal weather = 52 / 3 = 17. 333 = 17 treatments

Bad weather = 52 / 4 = 13 treatments

Difference in treatment = 17 - 13 = 4

Therefore, as a result of the bad weather, Jim's dog would get 4 more treatments than during normal weather.

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when solving sales tax it's pretty simple because all you do is add everything for a subtotal and multiply your sub total by the tax so i'll use the first as an example your subtotal is 19.96 x0.05 to get 0.99 <-- your sales tax and your final total with tax to be 20.96

Let losses = X

They won 13 more than 3 times as many so wins =  3X +13

Now you have wins  + loses  = total games:

X +3X + 13= 109

Combine like terms:

4x + 13 = 109

Subtract 13 from each side:

4x = 96

Divide each side by 4:

x = 96 / 4

X = 24

Wins = 3X +13

3(24) +13 = 72+13 = 85

Wins = 85 games

Losses = 24 games

[tex]-\frac{1}{3}x[/tex] + y = -1   ⇒   y = [tex]\frac{1}{3}x[/tex] - 1

To graph this line, plot a point at the y-intercept (0, -1), than plot the next point using the rise over run from the slope [tex](\frac{1}{3})[/tex] by counting up 1 and to the right 3 of the y-intercept.  This gives you a second point of (3. 0).  Draw a line through those two coordinates.

Answer: Plot (0, -1) and (3, 0) and draw a line through them.

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y = 4 +  [tex]\frac{1}{3}x[/tex]    ⇒   y =  [tex]\frac{1}{3}x[/tex]  + 4

Same as above.  Plot the y-intercept (0, 4) and then use rise over run from the slope to plot (3, 5).

Answer: Plot (0, 4) and (3, 5) and draw a line through them.

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You should end up with two PARALLEL lines.  Since the lines never intersect, there are no solutions to this system of equations.

Answer: No Solution

Answer:

y=x^2+6

you need to add in the exponent

2(x - 2) = 3(x + 9)

Distributive property.

2x - 4 = 3x + 27

Subtract 2x from both sides.

-4 = x + 27

Subtract 27 from both sides.

-31 = x

Answer : The expression for the given statement is [tex]a-25[/tex]

Step-by-step explanation :

We are given a statement :

"your aunt's age a minus 25"

Let the age of aunt be considered as 'a'

From the given statement, we conclude that

'Minus' in the above statement means subtract (-) operation.

Thus, the expression for the given statement is [tex]a-25[/tex]

96 days

12 x 8 = 96

to check I did:

8 x 1 = 8

8 x 2 =16

etc.

I did the same thing with 12,

To find out how many days it will be until Ben and Isabel exercise together again, we need to determine the least common multiple (LCM) of their exercise intervals. The LCM of 12 and 8 is 24.

To find out how many days it will be until Ben and Isabel exercise together again, we need to determine the least common multiple (LCM) of their exercise intervals. Ben exercises every 12 days, while Isabel exercises every 8 days.

To find the LCM of 12 and 8, we can list the multiples of each number and find the smallest number that appears in both lists. The multiples of 12 are 12, 24, 36, 48, 60, 72, and so on. The multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, and so on. The smallest number that appears in both lists is 24.

Therefore, Ben and Isabel will exercise together again in 24 days.

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I think the answer is 40.  

To solve the equation 12(m + 3x) = 18(x - 3m), we can start by distributing the coefficients and collecting like terms. Finally, m = -3x/11.

The given equation is 12(m + 3x) = 18(x - 3m).

Therefore, the solution to the equation is m = -3x/11.

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8 camper in each tent

The number is 4.

[tex]1 + 3*4 = 13\\2 * 4 + 5 = 13[/tex]

The problem is about solving a simple algebraic equation. The given condition can be put into an equation and solved step by step. The number that meets the condition is 4.

The subject of this problem is algebra. We need to find a number that satisfies the given condition. If we define the unknown number as 'x', the given statement can be translated into the following algebraic equation: 1 + 3x = 2x + 5.

To find the number, we solve this equation step by step. First, we can rearrange the equation by subtracting 2x from both sides, which gives us: 1 + x = 5. Then, subtracting 1 from both sides, we have: x = 4.

So, the number that satisfies the given condition is 4.

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These are all division problems.

1)   9 ÷ [tex]\frac{3}{4}[/tex]

= [tex]\frac{9}{1} * \frac{4}{3} = \frac{9(4)}{3}= 3(4) = 12[/tex]

3)   [tex]3\frac{1}{2} = \frac{2(3) + 1}{2} = \frac{7}{2}[/tex]

7 ÷ [tex]\frac{7}{2}[/tex]

= [tex]\frac{7}{1} * \frac{2}{7} = \frac{7(2)}{2}= 7[/tex]

5)   6 ÷ [tex]\frac{1}{8}[/tex]

= [tex]\frac{6}{1} * \frac{8}{1} = 6(8) = 48[/tex]

The answer would be 0.335 because thousandths is the third decimal from zero

we are given angle as

[tex]\theta=\frac{17\pi}{6}[/tex]

we can write it as

[tex]\theta=\frac{12\pi+5\pi}{6}[/tex]

now, we can break it

[tex]\theta=\frac{12\pi}{6}+\frac{5\pi}{6}[/tex]

On simplifying

[tex]\theta=2\pi +\frac{5\pi}{6}[/tex]

we know all angles repeats itself after 2pi

so,

[tex]2\pi + \theta= \theta[/tex]

so, we get

[tex]\theta=\frac{5\pi}{6}[/tex]...............Answer

Final answer:

To find an angle equivalent to 17pi/6 radians and smaller than 2pi, subtract multiples of 2pi. In this case, subtracting one full circle (2pi) from 17pi/6 yields an equivalent angle of 5pi/6 radians.

Explanation:

To find an angle equivalent to 17pi/6 radians that is smaller than 2pi radians, we can subtract multiples of 2pi until we get an angle that lies between 0 and 2pi. This is because angles that differ by full circles (multiples of 2pi) are equivalent in the circular system.

First, calculate how many full circles 17pi/6 radians contain:
17pi/6 ÷ 2pi = 17/12 ≈ 1.4167

Since 1.4167 is more than 1 but less than 2, we know that 17pi/6 radians contain one full circle plus some additional angle. To find this angle, subtract the full circle from 17pi/6.

17pi/6 - 2pi = 17pi/6 - 12pi/6 = 5pi/6

Thus, 5pi/6 radians is equivalent to 17pi/6 radians but is less than 2pi and thus satisfies the conditions of the problem.

17.28  dollars is the answer

12.8 * 1.35 =17.28

Therefore Marissa spent $17.28 on potatoes.

It appears as though you're to figure out the quotient some way (as by using a calculator), then verify that the product of quotient and divisor gives the dividend.

2. 96 ÷ 6 = 16

... (6×10) + (6×6) = 96

... 6 × 16 = 96

4. 84 ÷ 6 = 14

... (6×10) + (6×4) = 84

... 6 × 14 = 84

6. 104 ÷ 4 = 26

... (4×20) + (4×6) = 104

... 4 × 26 = 104

8. 102 ÷ 6 = 17

... (6×10) + (6×7) = 102

... 6 × 17 = 102

10. 64 ÷ 4 = 16 . . . . Ken will make 16 gift bags, each containing 4 pens.

Y intercept (0, 2) so b = 2

Slope = (2 - 0) / (0 + 3) = 2/3

Equation y =  mx + b

In this case slope m = 2/3 and y intercept = b = 2

So equation y = 2/3 x + 2

Answer

A.) Y = 2/3 x + 2

Estimation is useful in calculating the total cost of items in a grocery store basket.

An example of a real-life multiplication situation where estimation makes sense is calculating the total cost of items in a grocery store basket. Let's say you have a basket with 3 apples that cost $1.50 each and 2 yogurts that cost $2.75 each. To estimate the total cost, you can round the prices to the nearest dollar and multiply: 3 x $2 + 2 x $3 = $6 + $6 = $12. This estimation gives you a rough idea of the total cost without needing to calculate exact values.

To find your pay for a week, multiply the total hours worked (h) by the hourly wage ($10). For example, working 40 hours would yield a total pay of $400. A $2 per hour raise increases your hourly wage to $12 and represents a 20% pay increase.

To calculate your pay if you work h hours in one week at a rate of $10 per hour, you simply multiply the number of hours worked by the hourly wage. This can be expressed in the following formula:

Total pay = Hourly wage  imes Number of hours worked

So, if you work h hours, your total pay will be:

Total pay = $10/hour  imes h hours

This means that if you work 40 hours in a week, for example, your total pay would be:

Total pay = $10/hour  imes 40 hours = $400

If your boss is impressed with your work and gives you a $2 per hour raise, your new hourly wage would be $12 per hour. The percentage change in pay in this case is 20%, calculated by dividing the raise amount by the original wage ($2/$10 = 0.20 or 20%).

The department store sold 20 short-sleeved shirts and 14 long-sleeved shirts. Calculations were made by setting up a system of equations and solving for the variables representing the number of shirts sold.

To solve how many short-sleeved and long-sleeved shirts were sold given the total sales and price per shirt, we can set up a system of equations. Let x represent the number of short-sleeved shirts and y represent the number of long-sleeved shirts. We have two equations: x + y = 34 (since a total of 34 shirts were sold) and 11x + 21y = 514 (representing the total sales from the shirts).

First, we can solve for x in terms of y from the first equation: x = 34 - y. Substituting this expression for x into the second equation gives us 11(34 - y) + 21y = 514. Simplifying this, we get 374 + 10y = 514, which simplifies down to y = 14.

Substituting y = 14 back into the original first equation x = 34 - y, we find that x = 34 - 14, so x = 20. Therefore, the store sold 20 short-sleeved shirts and 14 long-sleeved shirts.

the answer is -1 hope this helps

The slope of this line is -1