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Dima020 [189]
3 years ago
10

six friends are going to buy a pizza. Their chices are to biu 2 medium 10-inch diameter pizzas for 7:00 each, or 1 large 14 inch

diameter pizza for 15.00. Both prices include tax and tip. The friends agree that their best choice is the one that gives them the most pizza for their money. which is the best choice?
Mathematics
1 answer:
11111nata11111 [884]3 years ago
5 0
For this question, we want to find out the greatest amount of area of pizza for the least amount of money:

So we have two pizzas with a 10 in. diameter. Let us take one of those pizzas.

The formula for area of a circle is \pi r ^2; So the area for one of these 10 in. pizzas would be \pi (5)^2 or 25\pi.

We have two of these pizzas, so the total area that we would get with $14 would be 25\pi*2 or 50\pi.

For the second case, we have one pizza with a 14 in. diameter.

The area of this pizza will be \pi (7)^2 or 49\pi.

So for $15 we can buy 49\pi worth of pizza.

The best deal would be to buy the two medium pizzas of 10 inch diameter, because for $14, you get 50\pi.
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Your realized income is $2,085.44, and your fixed expenses are 30%. You want to save 6 months worth in an emergency fund. How mu
Leviafan [203]

Answer:

$3753.79

Step-by-step explanation:

To find your emergency fund, you need to get your fixed expenses as the base.

Fixed Expenses = $2085.44 x 0.30

Fixed Expenses = $625.63

Now you need to take your Fixed Expenses and multiply that to the number of months you want to save for.

$625.63 x 6 = $3753.79

So you will need to save $3753.79 for 6 months worth of an emergency fund.

4 0
3 years ago
Read 2 more answers
Can someone show me the steps to doing this ?
VMariaS [17]
U're goal is to get k alone.
So divide both sides by 9/10.
3/2 divided by 9/10 is 5/3
3 0
3 years ago
PLEASE HELPP!<br> A square has an area of 5.76cm². Find the perimeter of the square
nikdorinn [45]
The ar. of square =X^
=5.76
So,X=√5.76
=2.4
now, perimeter of square =4(X)
=4(2.4)
=9.6
So, the perimeter of the square is 9.6cm..

Thanks!

Hope it helps you..
4 0
3 years ago
QUICK EASY 25 POINTS!!
MAVERICK [17]

Answer:

1. leave the radical symbol and don't try to convert it to a decimal form

2. The approximated value differs from the exact solution and doesn't give a true equation.

3. Depending on the case, if she needs a mathematical answer, the exact value should be used, but for more practical applications, the rounded decimal form would be more usable.

Step-by-step explanation:

The step by step solution to the equation:

4x^3=756\\x^3=\frac{756}{4} =189\\x=\sqrt[3]{189} \\x=\sqrt[3]{3^3*7} \\x=3*\sqrt[3]{7}

1.- Exact solution means that if in the final step when solving for x the value of  x^3 is not a perfect cube, one needs to leave it indicated as a radical expression (with the radical symbol).

in our case, the cubic root of 189 is not a perfect cube. The factor form of 189 is: 3^3*7, so there is a perfect cube factor (3^3), but the other factor (7) is a prime number. Therefore 3 can get out of the root, while 7 stays inside.

2.- The equation was solved above, in exact form. Now to solve it giving a decimal approximation, we use a calculator to find the cubic root of 7, which is an irrational number with infinite number of decimals, the first of which we type here: \sqrt[3]{7} = 1.91293118...

Therefore, the decimal approximation to the solving for x would be:

x=3*\sqrt[3]{7}=3*1,91293118...=5.73879...=5.74

Where we rounded to two decimals as requested.

When we replace the exact answer in the original expression, we get a perfect equality:

4*x^3=756\\4* (3\sqrt[3]{7} )^3=756\\4*3^3*(\sqrt[3]{7} )^3=756\\4*27*7=756\\\\756=756

While if we use the approximate answer, we get:

4*x^3=756\\\\4*(5.74)^3=756\\\\4*189.119224=756\\756.476896=756

which is NOT a true equality.

3.- I would stick with the idea of showing the exact answer as answer to the mathematical equation. but for a practical case (for example she needs to by some material as a result of her equation solving, it would be more practical to take the numerical approximation to the store, instead of a cubic root of a number.

7 0
3 years ago
3. A square metal plate has a density of 10.2 g/cm3 and weighs 2.193 kg.
MakcuM [25]

Answer:

215 cm³

8.6 cm

Step-by-step explanation:

given,

density = 10.2 g/cm³

mass = 2.193 kg = 2193g

a. Volume = mass / density

=2193 / 10.2

= 215 cm³

b. given that base area = 25cm²

volume = base area x thickness

thickness = volume / base area

= 215 / 25

= 8.6 cm

4 0
3 years ago
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