2 years ago

Guys I neeeeed help with my algebra please I need 2 and 4

Mathematics

1 answer:

Nadya [2.5K]2 years ago

7 0

Number 2 is the rate of change is 50

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One tank is filling at a rate of 5 gallon per 7 hour. A second tank is 8 10

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The time t required to drive certain distance varies inversely with the speed r. It takes 2 hours to drive the distance at 40 mi

Roman55 [17]

Answer:

$\frac{16}{9}$ hours

Step-by-step explanation:

Whenever 2 quantities (suppose a and b) are inversely proportional to each other, we can write an proportionality equation (with k as proportional constant) as:

$a=\frac{k}{b}$

Since, here t is INVERSELY PROPORTIONAL to r, we can say:

$t=\frac{k}{r}$

Firstly, we have t = 2 hour and r = 40 mph, so we find k:

$t=\frac{k}{r}\\2=\frac{k}{40}\\k=2*40\\k=80$

Now, secondly, we have r = 45 and k = 80, we need to find t:

$t=\frac{80}{45}\\t=\frac{16}{9}$

So, it would take $\frac{16}{9}$ hours

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3 years ago

A cylinder with a radius of 1 cm and a height of 21 cm has the same volume as a cone with a height of 7 cm. What is the radius o

Natasha_Volkova [10]

Answer:

Step-by-step explanation:

The formula of a volume of a cylinder:

$V=\pi r^2H$

r - radius

H - height

We have r = 1cm and H = 21cm. Substitute:

$V=\pi(1^2)(21)=21\pi\ cm^3$

The formula of a cone:

$V=\dfrac{1}{3}\pi r^2H$

r - radius

H - height

We have V = 21π cm³ and H = 7cm. Substitute:

$\dfrac{1}{3}\pi(r^2)(7)=21\pi$ <em>divide both sides by π</em>

$\dfrac{1}{3}(7)(r^2)=21$ <em>divide both sides by 7</em>

$\dfrac{1}{3}r^2=3$ <em>multiply both sides by 3</em>

$r^2=9\to r=\sqrt9\\\\r=3\ cm$

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