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enot [183]
2 years ago
5

Solve y = 7x-3w for x

Mathematics
2 answers:
lorasvet [3.4K]2 years ago
3 0
Y=7x-3w
y+3w=7x
y+3w/7=x
valentinak56 [21]2 years ago
3 0

Answer:

x=\frac{y+3w}{7}

Step-by-step explanation:

The given equation is

y=7x-3w

We need to solve this equation for x.

Isolate variable x to solve this equation for x.

Add 3w on both sides.

y+3w=7x-3w+3w

y+3w=7x

Divide both sides by 7.

\frac{y+3w}{7}=\frac{7x}{7}

Cancel out common factors.

\frac{y+3w}{7}=x

Interchange the sides.

x=\frac{y+3w}{7}

Therefore, the formula for x is x=\frac{y+3w}{7}.

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How many ounces of pure nickel must be added to 150 ounces of alloy 70% pure to make an alloy which is 85% pure?
galben [10]

Answer:

150 oz.

Step-by-step explanation:

There are already 150 ounces of alloy of nickel.

Of this 150 oz, 70% is pure i.e. nickel content = 150(0.7) = 105 oz

Now available is

Nickel       Other metals

105                  45

Let x oz of pure nickel is added.

Then new alloy will have 105+x oz nickel in total of 150+x oz.

Percentage pure = \frac{105+x}{150+x} =85%

Simplify to get

\frac{105+x}{150+x} =\frac{85}{100} \\\\Cross multiply:\\85(150+x) =100(105+x)\\12750+85x =10500+100x\\100x-85x = 12750-10500\\15x = 2250\\x = 150

Hence answer is 150 oz should be added.

6 0
2 years ago
A pond had 60 fish. 27 were carp and the rest were tench. 10 fish were added. The probability that a fish picked at random is a
ivanzaharov [21]

Answer: 2

<u>Explanation:</u>

A pond had 60 fish but 10 were added so now the pond has 70 fish.

The probability of choosing a carp is 1/2 so \frac{1}{2} (70) = 35 are now carp.  

There were 27 carp and now there are 35 carp so 8 carp were added.

10 fish were added and 8 of them were carp so 2 of them were tench.

6 0
2 years ago
What is the unit rate of 3 accidents in 12 months
Wewaii [24]
Simplify 3 to 12 Divide 3 1 to 4 So the answer is 1 car accident in 4 month ~JZ Hope it helps you out there
7 0
2 years ago
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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
During a certain week, a post office sold Rs.280 worth of 14-paisas stamps. How many of these stamps did they sell?
Novosadov [1.4K]
So basically ...

You convert the rupees in paisas. One rupee is equal to one hundred paisas, so ...

280 × 100 = 28,000

And then we divide,

28,000 ÷ 14 = 2000

The post office sold 2000 stamps!

Hope this helped! :)
6 0
2 years ago
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