The area of a rectangle is at least 115 square centimeters. The width of the rectangle is 5 centimeters and the length of the rectangle is x centimeters. what are the value(s) of x

Answer:

18 gallons

Step-by-step explanation:

Step 1:

140 : 10 = x : 5      Equation / Ratio

Step 2:

10x = 700     Multiply

Step 3:

x = 70     Divide

Step 4:

322 miles - 70 miles     To find how many miles are needed to get to 322

Step 5:

252 miles ÷ 14        To find the amount of gas  / Divide

Answer:

18 gallons more

Hope This Helps :)

Answer:20

Step-by-step explanation:

Answer:

wire for square to maximize total area = 23 m

Wire to minimize total area = 2.019 m

Step-by-step explanation:

For the square, let's say the total length of the square is "y" m.

Thus, length of one side is = y/4

And area of the square = (y/4) = y²/16

Since the wire is 23 m, then total length of equilateral triangle is; 23 - y.

Thus, length of one side of equilateral triangle = (23 - y)/3

Using trigonometric ratio, we can find the height of the triangle and thus area.

Area of triangle = (√3)/4) × ((23 - y)/3)²

Area of triangle = (√3)/36)(23 - y)²

So, total area of square and triangle is;

A_total = (y²/16) + (√3)/36)(23 - y)²

Now, extremizing this function by derivatives, we have;

dA/dy = (y/8) - (√3)/18)(23 - y)

d²A/dy² = ⅛ + (√3)/18)

So, d²A/dy² > 0

Now,let's find the maximum or minimum of the function.

So, we equate dA/dy to zero.

Thus;

(y/8) - (√3)/18)(23 - y) = 0

y/8 = (√3)/18)(23 - y)

(y/8) + (√3)/18)y = 23((√3)/18)

Multiply through by 8 to give;

y + 0.0962y = 2.2132

1.0962y = 2.2132

y = 2.2132/1.0962

y = 2.019 m

2.019 will be a minimum because d²A/dy² > 0

The maximum will occur at a boundary of the allowed values. Thus, the absolute maximum is for y = 23.

Note that a square has more area than a triangle and as such it is normal for the square to get the largest area over the triangle and therefore we will have to use all of the wire to construct the square.

Answer:

I will need to buy 22.5 pounds of turkey and pay $23.63

Step-by-step explanation:

Proportions

Each person is planned to eat 2 x 3/8 pound servings of turkey for thanksgiving dinner. This means each person will eat

pounds of turkey.

There are going to be 15 people at the dinner, thus the total turkey needed is:

The turkey costs $1.05 per pound, thus the total cost is

22.5*$1.05 = $23.63

I will need to buy 22.5 pounds of turkey and pay $23.63

Final answer:

To find out which recipes use more or less flour than Robert's current recipe, compare the quantity of flour needed per bag of chocolate chips in the new recipes to the 3.5 cups of flour needed in his current recipe.

Explanation:

In response to Robert's request, we would compare the amount of flour used in his current recipe to that used in other recipes. Since Robert's present recipe demands 3.5 cups of flour for each bag of chocolate chips, we would then have a baseline to compare with other recipes.

For instance, if a new recipe requires 4 cups of flour for a bag of chocolate chips, it means this recipe takes more flour. Conversely, if the recipe takes 3 or 2.5 cups for the same amount of chocolate chips, it uses less flour.

Overall, the process involves measuring the amount of flour that each new recipe requires and comparing it to the 3.5 cups in Robert's current recipe.

Therefore, to find out which recipes use more or less flour than Robert's current recipe, compare the quantity of flour needed per bag of chocolate chips in the new recipes to the 3.5 cups of flour needed in his current recipe.

Learn more about Recipe Comparison here:

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Answer:

Step-by-step explanation:

so first u need to add all the numbers

-Bertha

The balance of water left in the bottle is 625 milliliters.

How Liters and Milliliters are calculated?

• A liter exists as a unit of volume in the metric system.
• A liter exists described as the volume of a cube that exists 10 centimeters on a side.
• Liters and milliliters are metric units of volume which are used to measure the capacity of a liquid.
• The capacity of a liquid can be measured in milliliters, centiliters, liters, and kiloliters.
• There are about 3.785 liters in a U.S. gallon.

1 liter = 1000 milliliters

Let, 1000 milliliters - 375 milliliters = 625 milliliters

To learn more about liters and milliliters refer to:

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Answer:

625 millilitres

Step-by-step explanation:

1 litre = 1000 millilitres

Left -> 1000 millilitres - 375 millilitres = 625 millilitres