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2 years ago

If 2m = 4x and 2w = 8x, what is m in terms of w?

Mathematics

2 answers:

Mariana [72]2 years ago

6 0

2^m=2^n take the natural log of both sides

m*ln2=n*ln2 divide both sides by ln2

m=n

CaHeK987 [17]2 years ago

6 0

You can simply divide the eqution or you substitute the value of x in any equation.

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Of 360 consumers polled some purchased ice cream some purchase frozen yogurt and some purchased both if 260 people polled purcha

Xelga [282]

Total customers are = 360

Number of polled people who purchased ice cream = 260

Number of polled people who purchased both ice cream and yogurt = 250

Hence, people who purchased only ice cream are= $260-250=10$

And $360-10=350$ are people who purchased yogurt.

So, people who purchased yogurt only = $360-(250+10)=100$

8 0

1 year ago

In a function, y varies inversely with x. The constant of variation is 4. Which table could represent the function?

Nimfa-mama [501]

The equation will be y=4/x. u can make the table of variables by inserting the values of x in the equation. for suppose here, if x=1 then y=4 , x=2 then y=2 and so on.

5 0

1 year ago

Read 2 more answers

Fertiliser is sold in 100kg bags labelled with the amount of nitrogen (N), phosphoric acid (P2O5), and potash (K2O) present. The

anzhelika [568]

Answer:

We need 5 bags of Vigoro Ultra Turf and 4 bags of Parkers Premium fertilizer.

Step-by-step explanation:

Let's first list the percentage compositions of each fertilizer type:

<u>Vigoro Ultra Turf:</u>

Nitrogen (N) = 29 kg

Phosphoric Acid (P2O5) = 3 kg

Potash (K2O) = 4 kg

<u>Parkers Premium</u>

Nitrogen (N) = 18 kg

Phosphoric Acid (P2O5) = 25 kg

Potash (K2O) = 6 kg

We can set up simultaneous equations to find out the amount of 100 kg bags of each fertilizer needed:

x = Vigoro Ultra turf (one bag)

y = Parkers Premium (one bag)

29x + 18y = 217 -Equation 1

3x + 25y = 115 -Equation 2

4x + 6y = 44 -Equation 3

Solving for x and y, we get:

x = 5

y = 4

This means we need 5 bags of Vigoro Ultra Turf and 4 bags of Parkers Premium fertilizer.

6 0

2 years ago

Charlotte is redecorating the master bedroom in her house. She has already purchased a new bedroom set and also plans to paint t

jasenka [17]

Answer:

a. 30%

b. $893.59

$\frac{(351.10-x)}{893.59}\times 100\%$

Step-by-step explanation:

a. Given that the carpet costs $427.35, the labor costs $212.52 and other flooring supplies costs $75.

#To get the percent of the flooring bill that will go towards the cost of labor:

$\% labor\ cost=\frac{labor \ cost}{Total \ flooring \ cost}\times 100\%\\\\=\frac{212.52}{427.35+212.52+75}\times 100\%\\\\=\frac{212.52}{714.87}\times 100\%\\\\=29.73\%\approx30\%$

Hence, labor costs 30% of the total flooring costs.

b.The total flooring costs is :

$F_c=212.52+427.35+75\\\\=714.87$

Given that she spends 25% more on furniture than on flooring, we multiply the flooring cost by 125% to get the furniture costs:

$Furniture \ Cost= Flooring \ C\ost \times 125%\\\\=714.87\times 1.25\\\\=893.59$

Hence, she spends $893.59 on furniture.

c.To get what percentage of furniture cost was the night stand.

-Given the total furniture cost is $893.59:

Let x be the cost of the dresser and y the cost of the nightstand;

$x+y=Furniture\ cost -Bed \ cost\\\\x+y=893.59-558.49=351.1\\\\y=351.1-x$

The percentage is then calculated as:

$\% cost \ of \ nightstand=\frac{cost \ of \ nighstand}{Furniture \ Cost}\times 100\%\\\\=\frac{351.10-x}{893.59}\times 100\%\\\\=\frac{(351.10-x)}{893.59}\times 100\%$

Hnece the percentage cost of the night stand is $\frac{(351.10-x)}{893.59}\times 100\%$

7 0

2 years ago

A 3.00-g copper penny at 25.0°C drops from a height of50.0 m to the ground. (

Gnoma [55]

The potential energy, E, of the penny is given by E=mgh. The energy, Q, required to raise the temperature of an object by an amount ΔT is given by Q=mcΔT. We can equate these two to get the result but we must use proper units and include the 60%:
(0.6)mgh=mcΔT
We see we can divide out the mass from each side
0.6gh=cΔT, then 0.6gh/c=ΔT
(0.6)9.81(m/s²)50m/385(J/kg°C) = 0.7644°C
since this is the change in temperature and it started at 25°C we get
T=25.7644°C
As you can see the result does not depend on mass. The more massive the copper object the more potential energy it will have to contribute to the heat energy, but the more stuff there will be to heat up, and the effect is that the mass cancels.

6 0

2 years ago