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LenKa [72]
3 years ago
7

Explain how to determine if the number is a solution to the equation. n + 6 = 33 for n = 27

Mathematics
2 answers:
NemiM [27]3 years ago
8 0

Answer: You can know by doing some simple algebra

Step-by-step explanation:

n+6=33

Therefore, you try to get 'n' by itself (Try to get rid of 6)

So you just subtract 6 to both sides (because in order to subtract something from one side, in order to keep the equation equal, you must do the same for the other)

n+6-6=n

33-6=27

Therefore, n=27

Morgarella [4.7K]3 years ago
7 0

Answer:

Sample Response: Substitute 27 for the variable, n. Then simplify by adding 27 and 6. Adding 27 + 6 = 33. So you have 33 = 33, which is a true statement. 27 is a solution of the equation.

Step-by-step explanation:

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The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm^2/
VARVARA [1.3K]

Answer:

The base is decreasing at 2 cm/min.

Step-by-step explanation:

The area (A) of a triangle is given by:

A = \frac{1}{2}bh   (1)

Where:

b: is the base

h: is the altitude = 10 cm

If we take the derivative of equation (1) as a function of time we have:

\frac{dA}{dt} = \frac{1}{2}(\frac{db}{dt}h + \frac{dh}{dt}b)

We can find the base by solving equation (1) for b:

b = \frac{2A}{h} = \frac{2*120 cm^{2}}{10 cm} = 24 cm

Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:

2 cm^{2}/min = \frac{1}{2}(\frac{db}{dt}*10 cm + 1 cm/min*24 cm)

\frac{db}{dt} = \frac{2*2 cm^{2}/min - 1 cm/min*24 cm}{10 cm} = -2 cm/min    

         

Therefore, the base is decreasing at 2 cm/min.

               

I hope it helps you!  

7 0
2 years ago
Which expresion is equivalent to 30(1/2x-2)+40(3/4y-4)
Dafna11 [192]

Answer:

15x +30y -220

steps:

30(1/2x-2)+40(3/4y-4)

= 15x-60 +30y-160

= 15x +30y -220

6 0
3 years ago
3x-y+z=-15<br> x+2y-z=1<br> 2x+3y-2z=0
Kazeer [188]
I assume you are being asked to solve these equations.  Since there wasn't an explanation as to how you are expected to solve them, I chose to demonstrate how to use a calculator matrix function. You can find matrix calculators online.  My instructions are for a TI-84
Push the blue 2nd button then push x^-1 button (it says matrix above this button in blue)
Arrow over to edit to change the dimensions of the matrix and to put in your values.  You have 3 equations (3 rows) and 4 terms (4 columns) so you put a 3x4 in for the dimension and the coefficients (see images).
You use the rref option in the math column in matrix to calculate the answer. 
The numbers at the end are the solutions. x = -4, y = 2, z = -1

5 0
3 years ago
Annie has $18.00 to spend at the grocery store. She is going to buy bags of nuts that cost $5.70 each and one box of cookies tha
Tcecarenko [31]

Answer: She can buy up to 2 bags of nuts

Step-by-step explanation:

Hi, to answer this question we have to write an inequality:

The product of the number of bags of nuts bought (n) and the price per bag (5.70); plus the price of one box of cookies (4.25) must be less or equal to Annie's money (18).

5.70n +4.25 ≤18

Solving for x:

5.70n ≤18 -4.25

5.70n ≤13.75

n ≤13.75/5.70

n ≤2.41  

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She can buy up to 2 bags of nuts

8 0
3 years ago
Read 2 more answers
What is the answer to 18×524
adoni [48]
Tha answer for the problem is 9,432
4 0
3 years ago
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