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Nataly_w [17]
3 years ago
8

-91/12 reduced to in simplest form

Mathematics
1 answer:
den301095 [7]3 years ago
3 0
First, you have to make it into a mixed number : - 7 7/12. Since -7 7/12 can't be simplified anymore, it's the final answer
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Doctor florens needs 25 g of salt for each student to do an experiment she has 1.2 kg of salt on hand she has a total of a 128 s
erik [133]
The first thing I would do is convert that 1.2 kilograms of salt to grams; that would ensure that all the units are the same so we can perform calculations on them.

1.2kg = 1200g


Next, I would find out how many students can do the experiment with 1200g of salt, by finding it how many 25g are in 1200g (by dividing them).

\frac{1200g}{25g}=48students


That means we still have 80 students left to provide salt for (128 - 48).
Therefore, he needs an additional 80 amounts of 25g of salt.

Therefore he needs:
80students*25g = 2000g = 2kg
5 0
3 years ago
What number falls between √60 and √75
Natalija [7]
To find the number halfway between 60 and 75, we use the following formula:

(X + Y)/2 = Halfway Between

When we enter 60 and 75 into our formula, we get:

(60 + 75)/2 = 67.5

Thus, the number halfway between 60 and 75 is 67.5.
3 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
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!
topjm [15]

Answer:  B. neither

<u>Step-by-step explanation:</u>

A function is even when f(x) = f(-x).

A function is odd when f(-x) = -f(x).


f(x) = 2x³ - x²

f(-x) = 2(-x)³ - (-x)²

      = -2x³ - x²

f(x) = 2x³ - x²     ≠    f(-x) = -2x³ - x²     so it is NOT EVEN


-f(x) = -(2x³ - x²)

      = -2x³ + x²

f(-x) = -2x³ - x²     ≠    -f(x)= -2x³ + x²     so it is NOT ODD  


Therefore, it is NEITHER even nor odd.

5 0
3 years ago
A cookie recipe for three dozen Caramel peanut butter bars uses 14oz of caramel. How much caramel (to the nearest ounce) should
tia_tia [17]
140oz I believe because you just do 14oz times 10 because one dozen is 12 and 12 times 10 is 120.
4 0
3 years ago
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