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3 years ago

Solve the formula for t 6t + ty/y=p

Mathematics

1 answer:

Sloan [31]3 years ago

8 0

Answer:

t = $\frac{py}{6+y}$

Step-by-step explanation:

$\frac{6t + ty}{y}$ = p

multiply both side by y

6t + ty = p*y

pull t

t (6 + y) = py

solve

t = $\frac{py}{6+y}$

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On the first part of a journey, Alan drove a distance of x km and his car used 6 litres of fuel.

irinina [24]

Answer:

$\frac{600}{x+20}\text{ litres per 100 km}$

Step-by-step explanation:

Given,

The number of litres consumed by car in (x+20) km = 6,

So, number of litres consumed by car in 1 km = $\frac{6}{x+20}$ ,

Now, number of litres consumed by car in 100 km = 100 × litres consumed by car in 1 km

$=100\times \frac{6}{x+20}$

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Hence, the rate of fuel used by his car would be $\frac{600}{x+20}$ litres per 100 km.

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3 years ago

A golfer keeps track of his score for playing nine holes of golf (half a normal golf round). His mean score is 8080 with a sta

solniwko [45]

Answer:

Therefore the mean and standard deviation of his total score if he plays a full 18 holes are 160 and $11\sqrt2$ respectively.

Step-by-step explanation:

Given that,

For the first 9 holes X:

E(X) = 80

SD(X)=13

For the second 9 holes Y:

E(Y) = 80

SD(Y)=13

For the sum W=X+Y, the following properties holds for means , variance and standard deviation :

E(W)=E(X)+E(Y)

and

V(W)=V(X)+V(Y)

⇒SD²(W)=SD²(X)+SD²(Y) [ Variance = (standard deviation)²]

$\Rightarrow SD(W)=\sqrt{SD^2(X)+SD^2(Y)}$

∴E(W)=E(X)+E(Y) = 80 +80=160

and

∴ $SD(W)=\sqrt{SD^2(X)+SD^2(Y)}$

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$=\sqrt{2.11^2}$

$=11\sqrt2$

Therefore the mean and standard deviation of his total score if he plays a full 18 holes are 160 and $11\sqrt2$ respectively.

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3 years ago

(Solving Equations) Ken has $20.00. Coffee costs $4.79 per pound. Which equation will calculate the number of pounds of coffee,

aev [14]

Answer: A. 4.79(n)=20.00

Step-by-step explanation:

we need to find what amount of coffee (per pound) is equivalent to $20.00

so we take the unknown amount (n) and multiply it by $4.79

for example, say Ken wants 4 pounds, we need to know if it is equivalent to $20.00

so take 4.79 and multiply it by 4 to see if it is equal to or less than $20.00 in this case $4.79 x 4 = $19.16

hope this helps (^_^)

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3 years ago

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