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vladimir1956 [14]
3 years ago
7

Solve the following equation 6x - 4 = 2 + 3x

Mathematics
2 answers:
Svetach [21]3 years ago
7 0
The answer to the following question is X=2
qwelly [4]3 years ago
6 0
X =2 ................
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Water is leaking out of an inverted conical tank at a rate of 6800.0 cubic centimeters per min at the same time that water is be
m_a_m_a [10]

Answer:

6.82 mt^3/min

Step-by-step explanation:

By congruence of triangles, the radius r of the cone base when its height is 1 meter satisfies the relation

r/1 = 2.5/6

(See picture attached)

So, r = 0.4166 meters when the water is 1 meter high.

The volume of a cone with radius of the base = R is given by

V=\frac{\pi R^2h}{3}

So, the volume of water when it is 1 meter high is

V=\frac{\pi* 0.(4166)^2}{3}=0.1817\;mt^3

One minute later, the height of the water is 1 meter + 30 centimeters = 1.30 mt

The radius now satisfies

r/1.3 = 2.5/6

and now the radius of the base is

r = 0.5416 mt

and the new volume of water is 0.3071\;mt^3

So, the water is raising at a speed of

0.3071-0.1871 = 0.12 mt^3/min

This speed equals the difference between the water being pumped and the water leaking,

So,  

<em>0.12 = Speed of water being pumped -6.8  </em>

and

Speed of water being pumped = 6.8+0.12 = 6.82 mt^3/min

8 0
3 years ago
The freezing point of water is 0°C. Imani's refrigerator is set at 4°C, and her freezer is set at
qaws [65]

Answer: +23

Step-by-step explanation:

It would be 23 because the difference between -19 and 4 is 23

7 0
3 years ago
I am very confused lol... So I'm doing a worksheet for Algebra 1 (highschool) and we're doing division and multiplication with f
evablogger [386]

OK first change 3 3/4 to an improper fraction and that will give you  15/4. so you got that part right.  Next, change the division sign to multiplication. then flip the 1/2 to 2/1.  Then multiply 15 times 2 and that will give you 30. Then multiply 4 times 1 and that will give you 4. then you will have an answer of  30/4. Finally, since you a have a big number over a small number you divide 30 by 4 and that will give you 7 1/2. So it turns out that your little cheat sheet is wrong because when you check your answer you should go on Math-way to check it. Also, a little background about me is that I am in 8th grade and I am taking algebra 1 too.

4 0
3 years ago
There are 40 boys in a computer club. The ratio of girls to boys is 2 to 5. How many girls are in the club?
Mandarinka [93]
Set up a proportion. 2/5 = x/40
to solve the equation first cross multiply.
x*5=40*2
x*5=80
now divide both sides by 5, 80 divided by 5 is equal to 16.
so the number of girls in the computer lab is 16. 
4 0
3 years ago
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Mrs. Rivera's class has been keeping track of their recycling for the past four
SOVA2 [1]
They will recycle 24 pounds of paper on week 6
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