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GarryVolchara [31]
3 years ago
7

How do you simplify algebraic expressions?

Mathematics
1 answer:
8_murik_8 [283]3 years ago
7 0
All you basically have to do is follow the rules of PEMDAS,

parenthesis
Exponets
Multiplication
Division
Addition
Subtraction


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If the hat costs $975 and the sales tax was 5% how much did rose pay for the hat
Hoochie [10]
$48.75 I take $975 * 0.05=$48.75
3 0
3 years ago
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Prove or disprove that (1)/(1-cot x) is the same as (sin x)/(sin x - cos x)
SIZIF [17.4K]
\dfrac{1}{1-\cot x}=\dfrac{\sin x}{\sin x-\cos x}\\\\L_s=\dfrac{1}{1-\dfrac{\cos x}{\sin x}}=\dfrac{1}{\dfrac{\sin x}{\sin x}-\dfrac{\cos x}{\sin x}}=\dfrac{1}{\dfrac{\sin x-\cos x}{\sin x}}=\dfrac{\sin x}{\sin x-\cos x}=R_s

\text{Used:}\\\\\cot x=\dfrac{\cos x}{\sin x}
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3 years ago
Hana is putting the fruit she brought into bowls. She bought 8 melons,12 pears,and 24 apples. She puts the same number of pieces
Eddi Din [679]

The <em><u>correct answer</u></em> is:

If she wants the same number of pieces of each kind of fruit in each bowl (same number of melons, same number of pears, and same number of apples in each bowl), then she can put 11 pieces in each of 4 bowls.

Explanation:

To answer this, we find the greatest common factor (GCF) of all 3 numbers. To do this, we find the prime factorization of 8, 12 and 24:

8 = 4(2)

4 = 2(2)

→8 = 2(2)(2)

12 = 4(3)

4 = 2(2)

→12 = 2(2)(3)

24 = 4(6)

4 = 2(2)

6 = 2(3)

→24 = 2(2)(2)(3)

The GCF is made of all of the common factors. The factors common to all 3 numbers are 2 and 2; 2(2) = 4 for the GCF.

This means we can use 4 bowls.

She has a total of 8+12+24 = 44 pieces of fruit; 44/4 = 11. She would have 11 pieces of fruit in each bowl.

4 0
3 years ago
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Noa was walking in the forest and measured the circumference of two trees that he found. The first tree measured 37 and StartFra
irga5000 [103]
Explanation the answer is step 3
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3 years ago
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Determine the mechanical energy of this object a 1kg pendulum at a height of 1-meter
Lemur [1.5K]

Answer:

A

Step-by-step explanation:

Mechanical energy (ME) is Kinetic energy + potential energy

Where

Kinetic Energy (KE) = 1/2 * m * v^2

where m is the mass (in kg) and v is the speed of the object (in m/s)

and

Potential Energy (PE) = m*g*h

Where m is the mass (in kg) and g is the gravitational constant (9.81 m/s) and h is the height (in meters)

Hence

ME = KE + PE (note the pendulum DOES NOT have any speed, so v = 0, and thus KE = 0)

So,

ME=KE+PE\\ME=\frac{1}{2}mv^2+mgh\\ME=\frac{1}{2}(1)(0)^{2}+(1)(9.81)(1)\\ME=0+9.81\\ME=9.81

Hence, Mechanical Energy is 9.8 Joules (rounded to 1 decimal place). Correct answer is A.

7 0
3 years ago
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