7 x 4 x ?? =2,800 and 7 x 4 x ?? =28,000

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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[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

17.28  dollars is the answer

12.8 * 1.35 =17.28

Therefore Marissa spent $17.28 on potatoes.

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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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.

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

8 camper in each tent

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]

Answer:

Solution: All real numbers.

Step-by-step explanation:

[tex]3(4g+6)=2(6g+9)\qquad|\text{use distributive property}\\\\(3)(4g)+(3)(6)=(2)(6g)+(2)(9)\\\\12g+18=12g+18\qquad|\text{subtract 12g from both sides}\\\\18=18\qquad TRUE[/tex]

It's an identity equation.

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

If you bought a $3 smoothie and your total (with tip) is $3.60, you have to divide 3.6/3. You get 1.2, which means you left a 20% tip, which would be .2 in decimal form.

To find the percent tip, divide the tip amount by the total cost and multiply by 100.

To find the percent tip, we need to first calculate the total cost of the smoothies and the tip. Since the smoothies cost $3 each, the total cost of the smoothies is $3 * 2 = $6. Let's assume the tip amount is x dollars. The split total (including the tip) is $3.60, which is equal to half of the total cost plus the tip: $3 + $3 + x = $6 + x. Solving this equation, we can find the value of x:

The tip amount is $1.20. To find the percent tip in decimal form, we divide the tip amount by the total cost and multiply by 100: $1.20 / $6 * 100 = 20%. Therefore, you and your friend left a 20% tip.

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To write an expression in function notation, you must solve it for the dependent variable.

Assuming that you want the expression to be written in the form [tex] y = f(x) [/tex] (i.e., assuming that x is the independent variable), we have to solve the expression for y, which means that we want y to remain alone on the left hand side, and move everything else to the right hand side.

So, first of all, we can add 9x to both sides to get

[tex] 3y = 9x+24 [/tex]

Finally, we divide both sides by 3:

[tex] y = 3x + 8 [/tex]

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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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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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

The speed of the boat in still water is 8 miles per hour.

To find the speed of the boat in still water, we can use the formula:

Speed of the boat in still water = (speed downstream + speed upstream) / 2

Given that it takes the same amount of time for the boat to travel 36 miles downstream and 12 miles upstream, we can set up the following equation:

36 / (v + 4) = 12 / (v - 4)

Where v is the speed of the boat in still water. Cross multiplying and solving the equation, we get:

36(v - 4) = 12(v + 4)

36v - 144 = 12v + 48

24v = 192

v = 8

Therefore, the speed of the boat in still water is 8 miles per hour.

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I think the answer is 40.  

When a number is raised to the power of 2, it is squared. This means the number is multiplied by itself once.

When a number is raised to the power of 2, it is squared. Squaring a number means multiplying it by itself. For example, if you have the number 4 and you square it (raise it to the power of 2), you would multiply 4 by 4, which equals 16. Therefore, 4 squared (or 4 to the power of 2) equals 16.

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

4x19=76 tada there ya go pally!

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.

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

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]

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.