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mr Goodwill [35]
4 years ago
8

write the ratio as a fraction in simplest form. with whole numbers in the numerato and denominator. 40g : 64g​

Mathematics
1 answer:
babunello [35]4 years ago
8 0

Answer:

\frac{5g}{8g} OR 5g : 8g

Step-by-step explanation:

Also a ratio can also be represented by a fraction; \frac{40g}{64g}

So to make the ratio to the simplest form we have to divide by a number that can divide both number.

40g : 64g

We can start dividing by 2 which will give us;

20g : 32g

\frac{20g}{32g}

Now we can divide by 2 again since it can divide both numbers which will give us;

10g : 16g

\frac{10g}{16g}

We can still divide by 2 since it can divide both numbers which will give us;

5g : 8g

\frac{5g}{8g}

Since no numbers can divide 5 and 8 equally that is our answer.

Also, \frac{5g}{8g}

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Please help, picture of question included.
Hoochie [10]

Answer:

b. \frac{p-1700}{10}

Step-by-step explanation:

We have that the server's salary can be expressed as

p = $1700+$10t

Counting the $ 1700 dollars as the fixed amount of your salary and contemplating the variable salary that would be $ 10 * t being t the number of overtime worked  

from this expression we can clear the number of overtime worked by clearing t, so I finally have

p=$1700+$10t\\ $10t = p - $1700 \\ t= \frac{p-1700}{10}

Done

3 0
3 years ago
A gas station sells motor oil in 2-liter bottles. The gas station sold 6 bottles of oil each day for 8 days.
timama [110]

Answer:

96 liters

Step-by-step explanation:

Two liters are in each bottle, so that means they sold 12 bottles of oil each day. Multiply that with 8 days to get the answer:

12 × 8 = 96

Ninety-six liters.

5 0
2 years ago
Read 2 more answers
The height (feet) of an object moving vertically is given by s= (-16t^2)+(208t)+(156), where t is in seconds.
OverLord2011 [107]

Answer:

The object's velocity at t = 7 is -16 ft/s

The maximum height is 832 ft and it occurs when t=\frac{13}{2}

Step-by-step explanation:

From the information given, the equation of motion of the object is

s(t)= -16t^2+208t+156

For any equation of motion s(t), the instantaneous velocity at time t is given by

v(t)=\frac{ds}{dt}

(a) To find the object's velocity at t = 7, you must:

v(t)=\frac{d}{dt}(-16t^2+208t+156)\\\\v(t)=-\frac{d}{dt}\left(16t^2\right)+\frac{d}{dt}\left(208t\right)+\frac{d}{dt}\left(156\right)\\\\v(t)=-32t+208+0\\\\v(t)=-32t+208

Next, we evaluate when t = 7

v(7)=-32(7)+208=-224+208\\\\v(7)=-16

The object's velocity at t = 7 is -16 ft/s

(b) <em>To find the maximum of a function we always use the derivative of the function and we set it equal zero to find the</em><em> critical points.</em>

To find the maximum height and when it occurs, we set the velocity function equal to 0 and solve for t.

-32t+208=0\\\\-32t+208-208=0-208\\\\-32t=-208\\\\\frac{-32t}{-32}=\frac{-208}{-32}\\\\t=\frac{13}{2}

Next, we substitute this value into the equation of motion to find the maximum height

s(\frac{13}{2})= -16(\frac{13}{2})^2+208(\frac{13}{2})+156\\\\s(\frac{13}{2})=-676+1352+156)=832

The maximum height is 832 ft and it occurs when t=\frac{13}{2}

6 0
3 years ago
The deposits Ginny makes at her bank each month form an arithmetic sequence. The deposit for month 3 is $150, and the deposit fo
FinnZ [79.3K]
Hello, I have done this same math question before.

1. 15 dollars
2. Deposit=15*month+105
3. Deposit=15*12+105=$285
4. 500=15*month+105
    395=15*month
    26.33=month
    Round up to 27 for the nearest whole month, so month 27.

Hope this helps!
4 0
3 years ago
Which statement is true? A. Point estimates are used to make inferences about population parameters. B. When we use the populati
SCORPION-xisa [38]

Answer:

the answer is d

Step-by-step explanation:

cause its d

3 0
3 years ago
Read 2 more answers
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