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elixir [45]
3 years ago
7

How many solutions does 25-4x=15-3x+10-x have

Mathematics
2 answers:
Mariulka [41]3 years ago
5 0

Answer:  The given equation will have infinite number of solutions.

Step-by-step explanation:  We are given to check the number of solutions to the following equation :

25-4x=15-3x+10-x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

To find the number of solutions, we must solve the given equation.

The solution of equation (i) is

25-4x=15-3x+10-x\\\\\Rightarrow 25-4x=25-4x\\\\\Rightarrow 4x-4x=25-25\\\\\Rightarrow 0=0, which is always true.

Thus, the given equation will have infinite number of solutions.

Sergeeva-Olga [200]3 years ago
4 0
25 - 4x = 15 - 2x + 10
-10                        - 10 
15 - 4x = 15 - 2x
-15          -15
-4x = - 2x
no solution 
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A 2 liter bottle is filled completely with water from a faucet in 10 seconds. How much water was filled into the bottle each sec
telo118 [61]

Answer:

A 0.2 L water was filled into the bottle from faucet each seconds.

Step-by-step explanation:

Unit rate is defined as the rates are expressed as a quantity of 1, such as 3 feet per second or  6 miles per hour, they are called unit rates.

Given the statement: A 2 liter bottle is filled completely with water from a faucet in 10 seconds.

⇒ In 10 sec  a  2L bottle  is completely filled with water  from a faucet.

Unit rate per second =  \frac{2}{10} = \frac{1}{5} = 0.2 L

Therefore, 0.2 L water was filled into the bottle each seconds.

6 0
3 years ago
Liev is assembling a coffee table. The diagram below is from the instruction manual and shows the table after the first two legs
elixir [45]

Answer:

The support is 41 inches long.

Step-by-step explanation:

There's two ways we can do this: one with the diagonal formula and one without.

Since we know that Point C is halfway down leg A and that the table legs are 18 inches tall, Point C is 9 inches down leg A. The support, from Point C to Point D, will form a diagonal, the length of which we need to find. We know from the diagram that the width of the table is 24 inches and that its length is 32 inches. We have a height, length, and width for this problem, so let's imagine a rectangular prism, which has all three of those things, instead of a table. The formula for finding a rectangular prism's diagonal is d = \sqrt{l^{2} + w^{2} + h^{2} }. Let's put in those numbers:

d = \sqrt{32^{2} + 24^{2} + 9^{2} } =  41

Therefore, the support is 41 inches long.

--------------------------------------------------------------------------------------------------------------

Another way you can do this is to use the Pythagorean Theorem twice: once to find the diagonal of the tabletop and another time for the support.

24^{2} + 32^{2} = c^{2} \\576 + 1024 = c^2\\1600 = c^2\\\sqrt{1600} = \sqrt{c^2}\\ 40 = c

Now that we know the corner-to-corner distance for the tabletop, we'll use that and the 9 inch distance for Point C to find the distance between C and D:

9^{2} + 40^{2} = c^{2}\\ 81 + 1600 = c^2\\1681 = c^2\\\\sqrt{1681} = \sqrt{c^2} \\41 = c

Again, the support is 41 inches long.

4 0
3 years ago
9x^2 - 12x + 4 = 0<br> Solve for x
hram777 [196]

Answer:

x = 2/3

Step-by-step explanation:

9x2−12x+4=0

Step 1: Factor left side of equation.

(3x−2)(3x−2)=0

Step 2: Set factors equal to 0.

3x−2=0 or 3x−2=0

x=  2 /3

4 0
3 years ago
Read 2 more answers
What percentage is 15 out of 17?
Ket [755]
88.23%

Simply plug 15/17 into you calculator 

and it will give you a decimal, in this case it should be .88235294...

simply move the decimal back to placements and you should have

88.235294... thats still a lot of numbers so just reduce it to 2 places after the decimal and add a percent sign

88.23%

and your done :) this works for any similar problems

I hope this helps

8 0
2 years ago
Read 2 more answers
The multipliers of this system of equations have been determined to create opposite terms of the y-variable.
sergiy2304 [10]

Answer:

-48

Step-by-step explanation:

i think im sorry if im wrong

5 0
3 years ago
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