Melissa needs 3.87 feet of string to use as a border for her poster. Melissa finds a piece of string that is 4.25 feet long.

How much string will Mellisa have left over?

To find when the two plans cost the same, set up an equation equating the cost of Plan A and Plan B. Solve for the number of minutes used when the two plans cost the same.

To find when the two plans cost the same, we need to set up an equation where the cost of Plan A is equal to the cost of Plan B. Let x be the number of minutes used. For Plan A, the cost is $24.95 + $0.10x. For Plan B, the cost is $19.95 + $0.20x. Setting these two expressions equal to each other, we get:

$24.95 + $0.10x = $19.95 + $0.20x

Now, we can solve for x:

$0.10x - $0.20x = $19.95 - $24.95

$-0.10x = -$5

x = -$5 / -$0.10

x = 50

Therefore, the two plans cost the same when 50 minutes are used.

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The solution to the system of equations 2x + 3y = 4 and x - y = -3 is (x, y) = (-1, 2).

To solve this system, we can use the method of substitution or elimination. For example, here's how we can use the elimination method:

The solution to the system of equations is (x, y) = (-1, 2).

Answer:

1/3

Step-by-step explanation:

Answer:

Option(c)

Step-by-step explanation:

The race track on which the car is competing miles= 400 miles

A car travels with speed= 230 miles per hour

We have to find time taken for the car to finish

As we know,

Time taken to cover certain distance=[tex]\frac{Distance}{Time}[/tex]

Time taken to cover certain distance=[tex]\frac{400}{230}[/tex]

Time taken to cover certain distance=[tex]\frac{40}{23}[/tex]

Time taken to cover certain distance=1 hour 45 minutes

Hence, the correct answer is option(c)

The x-intercept will be at (16,0) and the y-intercept at (0, 6).

We have to solve for y by substituting 0 as the value of x. This will be:

24x + 64y = 384

24(0) + 64y = 384

64y = 384

y = 384/64

y = 6

We have to solve for x by substituting 0 as the value of y. This will be:

24x + 64y = 384

24x + 64(0) = 384

24x = 384

x = 384/24

x = 16

In conclusion, the x-intercept will be at (16,0) and the y-intercept at (0, 6).

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Answer:

Sample Answer: The x-intercept, at the point (16, 0) indicates the choice to produce fruit for 16 minutes. In 16 minutes, producing 24 cans of fruit a minute, all 384 cans for the order will be completed. The zero for the y-value represents that no time is spent producing cans of vegetables.

Step-by-step explanation:

Nicole needs 750 meters of ribbon to make 1,000 bows, with each bow requiring 0.75 meters of ribbon. This is calculated by multiplying 1,000 by 0.75.

To determine how many meters of ribbon Nicole needs to make 1,000 bows where each bow requires 0.75 meters of ribbon, we need to perform a simple multiplication. Given:

1. Number of bows = 1,000

2. Length of ribbon per bow = 0.75 meters

We multiply these two values:

1,000 bows × 0.75 meters per bow = 750 meters

Thus, Nicole needs 750 meters of ribbon to make all the bows.

Let’s break down the process step-by-step:

Answer:

Step-by-step explanation:

Givens:

If Martha needs 1 piece of paper and ribbon, then she need to use 4 packs of paper and 3 packs of ribbons, because when she uses one pack of paper, she use it all, but from the pack of ribbons, it remains some.

From the first pack Marta has 3 papers and 4 ribbons. So, she uses all 3 papers, and 3 ribbons, and there remains 1 ribbons without use.

From the second pack, Marta uses 3 papers but only 2 ribbons, because she also uses the one ribbon that left from the first pack. So, from the second pack, she only uses 2 ribbons, and there are 2 ribbons left.

From the third pack, she again uses all three papers, but only 1 ribbon, so there is three ribbons left.

From the fourth pack she uses three papers agains, but she doesn't need a new pack of ribbons, because she has three from the third pack.

Now, specifically, the least common number refers to the least common multiple of 3 and 4, which is 12, because if we write down the multiples for both numbers, we have:

3, 6, 9, 12, 15, ...

4, 8, 12, 16, 20,...

As you can see, the least common number is 12.

Therefore, the least number of kites Marta can make without any supplies left over is 12.

The number of days Jared will take to make 20 bird houses, when he can make 4 bird houses in 3 days, is 15 days.

The total time taken is inversely proportional to the rate of work. If a unit of work is done in total n number of days, then the total work done in a day can is,

[tex]W=\dfrac{1}{n}[/tex]

Jared made 4 bird houses in 3 days. Thus, the number of bird houses made by Jared in 1 day is,

[tex]n=\dfrac{4}{3}[/tex]

Thus, the Jared made 4/3 housed in a single day. By this rate the total time required to Jared to make 20 bird housed is,

[tex]t=\dfrac{20}{\dfrac{4}{3}}\\t=\dfrac{60}{4}\\t=15\rm\;days[/tex]

Hence, the number of days Jared will take to make 20 bird houses, when he can make 4 bird houses in 3 days, is 15 days.

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Answer:

Carter should measure two times the flour in the cup to obtain the quarter of cup he needs to the recipe.

Step-by-step explanation:

To solve this problem you should use a simple equation. As Carter has a cup that holds an eighth of the cup and he need to add a quarter cup to the recipe he needs to find a factor that multiplied by [tex]\frac{1}{8}[/tex] gives as result the [tex]\frac{1}{4}[/tex] he needs, that is:

1. Let´s name x the factor and we have the following equation:

[tex]\frac{1}{8}*x=\frac{1}{4}[/tex]

2. Solving for x:

[tex]\frac{x}{8}=\frac{1}{4}[/tex]

[tex]x=\frac{8}{4}[/tex]

[tex]x=2[/tex]

The result x=2 means that Carter should measure two times the flour in the cup to obtain the quarter of cup he needs to the recipe.

The net change with the greatest absolute value is -3.

The net change with the greatest absolute value is -3.

To determine the absolute value, we ignore the negative sign.

So among the given net changes of -3, 1, and -2, the net change of -3 has the greatest absolute value.

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