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3 years ago

Sams car traveled 120 miles on 9 gallons of gasoline. Which fraction expresses the ratio of miles to gasoline ?

Mathematics

1 answer:

Temka [501]3 years ago

4 0

Answer:

Choice 4.) 40/3

Step-by-step explanation:

To find the fraction that expresses the ration of miles to gasoline We must find a number that both numbers can be divided by equally to simplify the fraction.

In this case the number 3 gets the job done.

120 ÷ 3 = 40

9 ÷ 3 = 3

So our ration of miles to gasoline is 40/3

Hope this helps! :)

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Linda saves $1.55 every day. Tyron saves $3.90 every day. Linda started saving 3 days earlier than Tyron. On which day will Tyro

madreJ [45]

Step 1: Write the amount of savings in equation
Linda's savings: s=1.55d
Tyron's savings: m=3.90d

Step 2: Add on the extra days to Linda's savings
Linda's savings s=1.55d+3(1.55)

Step 4: Simplify equation
s=1.55d+3(1.55)
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Step 5: Substitute numbers for d days until Tyron's m savings is greater than Linda's s saving
m=3.90d s=1.55(2)+4.66
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On Tyron's second day he will have more money in his savings than Linda does.

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Need some help with these last few problems Thank you for your time and help

konstantin123 [22]

(1) On the unit circle, you have $\sin x=-1$ when $x=-\dfrac\pi2$ , and more generally this is the case whenever you perform a full rotation about the origin. This means $\sin x=-1$ any time $x=-\dfrac\pi2+2n\pi$ where $n$ is any integer.

(2) When $x=-90^\circ$ , you have $y=f(-90^\circ)=\cos(-90^\circ)=0$ .

(3) When $x=-45^\circ$ , you have $y=f(-45^\circ)=\tan(-45^\circ)=-1$ .

(4) The law of sines says that

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$b^2=6.5^2+8^2-2\times6.5\times8\cos37^\circ\implies b\approx4.816$

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