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erik [133]
2 years ago
11

If 2x+z=2y and 2x+2y+z=20 what is the value of y?

Mathematics
1 answer:
mixer [17]2 years ago
3 0
2x+z=2y\to2x=2y-z\\\\substitute\ to\ 2x+2y+z=20:\\\\(2y-z)+2y+z=20\\2y-z+2y+z=20\\4y=20\ \ \ \ /:4\\y=5\to answer
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Eighty-five more than the square of a number is the same as the square of the quantity that is $17$ less than the number. What i
Usimov [2.4K]
To solve that we first need to write it as an equation where x is the number:
85 + x^2 = (x-17)^2
85 + x^2 = x^2 - 34x + 289
Now organize the equation by gathering like terms in the same side lf the equation:
You can shift 85 to the other side by subtracting 85 from both sides of the equation:

85 - 85 + x^2 =x^2 34x +289 - 85
x^2 =x^2 + 34x +204

And shift x^2 to the other side by subtracting x^2 from both sides:
x^2 - x^2 =x^2 -x^2 + 34x +204
0 = 34x + 204

Shift 34x to the other side by subtracting 34x from sides
-34x = 34x - 34x + 204
-34x = 204

And now isolate x by dividing both sides of the equation by -34
-34/-34x = 204/-34
x = -6
Thats your awnser , the number is -6
I hope you understood my brief explanation...
5 0
2 years ago
In a science experiment, Shelly has to weigh a compound in grams. The balance in her school measures in milligrams (mg). Shelly
Oksi-84 [34.3K]
We know, 1 g = 1000 mg
so, 1 mg = 1/1000 g
then, 8,450 mg = 1/1000 * 8,450 = 8.450 g

In short, Your Answer would be: 8.450 Grams

Hope this helps!
5 0
2 years ago
Read 2 more answers
A pure acid measuring x liters is added to 300 liters of a 20% acidic solution. The concentration of acid, f(x), in the new subs
Natali5045456 [20]

Answer How many liters of a 20% acid solution should be mixed with 30 liters of 50% acid solution in order to obtain a 40% solution. ... x=15 liters 15*(.20 pure acid)=3 liters 30*(.50 pure acid)=15 liters That is 18 liters pure acid That is 45 liters solution *0.45 pure acid=18 liters.

As more pure acid is added, the concentration of acid approaches 0.

5 0
2 years ago
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H is directly proportional to the square root of p h= 5.4 when p = 1.44 find h when p =2.89
LenKa [72]

Answer:

h=7.65

Step-by-step explanation:

H is directly proportional to the square root of p;

Let k be the constant of proportionality;

Means h=k√p

This means for corresponding points of h and p such that (h1,p1) and (h2,p2) we have;

h1/√p1=h2/√p2

Let h= 5.4 when p = 1.44 and h when p =2.89 be respectively (h1,p1) and (h2,p2)

So that

5.4/√1.44=h/√2.89

5.4/√1.44 ×√2.89 = h

7.65= h

h=7.65

8 0
2 years ago
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. David invested $220
S_A_V [24]

Answer:

The answer is 23 years.

Step-by-step explanation:

We will use the formula :

A=P(1+r)^{t}

Here P = 220

r = 3%

A = 400

Putting these values in the formula we get,

400=200(1+0.03)^{t}

2=1.03^{t}

Taking log on both sides,

ln(1.03)t=ln 2

t=\frac{ln(2)}{ln(1.03)}

t=23.44 or rounding to nearest, t=23 years

The graph of the function can be shown as below.

3 0
2 years ago
Read 2 more answers
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