Jazmin is completing an art project. She has two pieces of construction paper. The first piece is 4 4 4444 inches wide and the second piece is 3 3 3333 inches wide. Jazmin wants to cut the paper into strips that are equal in width and are as wide as possible. How wide should Jazmin cut each strip?

Answer:

division property of equality

Step-by-step explanation:

7q= 49

To solve this equation we  need to get 'q' alone

In order to get 'q' alone, we need to remove 7 from 'q'

Here 7 is multiplied with 'q'

To remove any number we always do opposite operation

Opposite operation of multiplication is division

So we divide both sides by 7

q= 7

Here we used division property of equality

Answer:

We know that:

[tex]C_{(N)}=15000+8000N[/tex]

So first we need to substitute the next equation in the C(N) equation

[tex]N_{(t)} = 100t-5t^{2}[/tex]

And therefore we have:

[tex]C_{(t)}=15,000 + 8000*(100t-5t^{2})\\C_{(t)}=15,000 + 800000t-40000t^{2}[/tex]

Finally we replace at t = 5 in the equation above and we have:

[tex]C_{(5)}=15,000 + 800000*5-40000*5^{2}\\C_{(5)}= 3015000[/tex]

The interpretation is that after 5 hours of operation, we have wasted 3015000 dollars producing cars.  

To calculate the cost of production as a function of time, substitute the production function N(t) into the cost formula C(N). After simplifying, the cost function is C(t) = 15,000 + 800,000t - 40,000t². At 5 hours, the cost is 3,015,000 dollars.

To find the cost C as a function of the time t of operation of the factory, we first use the formula for the number of cars produced N(t) = 100t - 5t². Then we substitute the expression for N(t) into the cost function C(N) = 15,000 + 8000N.

Substituting N(t) into C(N), we get:

This is the cost C as a function of time t.

When t = 5 hours, the function becomes:

This result means that the cost of production after 5 hours of operation is 3,015,000 dollars.

Final answer:

By applying the equations of motion for an object in free fall, it's determined that the stone was dropped from 404 feet above the ground, considering its positions at two separate times and using the acceleration due to gravity.

Explanation:

To find the original height from which the stone was dropped, we can use the equations of motion under constant acceleration due to gravity. Since we are dealing with a vertical motion and we are given the stone's positions at two different times, the most appropriate equation to use is:

h = h0 + v0t - ½gt²

Where:

We know that the stone is 250 feet above the ground at a certain instant and 10 feet above the ground 3 seconds later. Thus, we can use these values to solve for h0 in two steps. Firstly, convert the given heights to the same unit of measurement if necessary (in this case, they are already in feet). Then, substitute the given values into the equation:

At t = 3 seconds, h = 10 feet:

10 = h0 - ½(32)(3)²

Solving this equation gives us:

h0 = 10 + ½(32)(3)² = 10 + 144 = 154 feet

However, this calculation only accounts for the latter part of the fall. To find the total height from which it was dropped, we need to consider the height above the 250 feet mark.

Since we initially observed the stone at 250 feet and then at 10 feet above the ground, it implies the stone was dropped from 250 feet + 154 feet = 404 feet above the ground.

Answer:

10:4 On dividing both the number by 2 and 15 : 6

On dividing both the number by 3

Step-by-step explanation:

Given  : ratios 10:4 and 15:6 .

To find : you show that the ratios 10:4 abd 15:6 are equivalent.

Solution : We have given 10:4 and 15:6 .

For 10 : 4

On dividing both the number by 2

5 : 2

For 15 : 6

On dividing both the number by 3

5 : 2.

So, we can  see both are equal in ratio 5 : 2 .

Therefore, 10:4 On dividing both the number by 2 and 15 : 6

On dividing both the number by 3

Yes, 3.6 repeating is equal to 11 /3 .

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Number is,

⇒ 11 /3

Now, We know that;

⇒ 11 / 3

After divide we get;

⇒ 3.666666...

Thus, 3.6 repeating is equal to 11 /3 .

Learn more about the divide visit:

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Answer:

The equation of line is y = 2x.

Step-by-step explanation:

Consider the provided information.

A coordinate grid is shown. The x axis values are from negative 5 to positive 5 in increments of 1 for each grid line, and the y axis values are from negative 10 to positive 10 in increments of 2 for each grid line.

The slope intercept form of an equation of line is: y = mx + c

Where m is the slope and c is the y intercept.

[tex]Slope = m = \frac{Rise}{Run}[/tex]

Increments or decrements in x axis value represent the Run. Increments or decrements in y axis value represent the Rise.

It is given that "y axis values are from negative 10 to positive 10 in increments of 2 for each grid line."

Thus the Rise is 2 unit.

The x axis values are from negative 5 to positive 5 in increments of 1 for each grid line,

Thus the Run is 1 unit.

Hence the slope is: [tex] Slope=m=\frac{Rise}{Run}=2[/tex]

It is given that line passing through (0,0) it means the y intercept is 0.

Now substitute the value of m and y intercept in slope intercept form..

y = 2x + 0

y = 2x

Hence, the equation of line is y = 2x.

To find the number when 5/3% of it is 4.75, you can set up the equation (5/3%) x N = 4.75 and solve for N.

To find the number when 5/3% of it is 4.75, we can set up the equation:

(5/3%) x N = 4.75

To solve for N, we need to convert the percentage to a decimal:

5/3% = 5/3 x 1/100 = 5/300 = 1/60

Now we can rewrite the equation:

(1/60) x N = 4.75

To isolate N, we can multiply both sides of the equation by 60:

N = 4.75 x 60 = 285

Therefore, the number is 285.

To calculate the probability of Dylan choosing a green apple sour worm, divide the number of green apple sour worms (3) by the total number of sour worms (15), resulting in a probability of 1/5 or 20%.

The probability that Dylan will choose a green apple sour worm is calculated by dividing the number of green apple sour worms by the total number of sour worms. Dylan has four strawberry, four lime, two black currant, two orange sour, and three green apple worms in his packet. This gives us a total of 15 sour worms.

To calculate the probability, we use the formula P(E) = Number of favorable outcomes / Total number of outcomes.

Therefore, the probability that Dylan picks a green apple sour worm is P(green apple) = Number of green apple worms / Total number of worms = 3 / 15 = 1 / 5.

So, the probability is 0.20 or 20%.

r 27 is the answer....