Answer: c
Step-by-step explanation:
Answer:
4515
Step-by-step explanation:
0.9 x 10^4
Let’s break this down into steps.
So to start off with, you need to do 4.5/5 which = 0.9.
Now we can deal with the indices. 10^-3 / 10^-7 means we have to subtract them. Therefore, -3 - -7 = 4. Altogether, we have 0.9 x 10^4
The question states we should leave our answer in standard form.
So our answer is 0.9 x 10^4.
So there are 2 things you need to convert, the first is the gallons to cups and the second is the hours to minutes. so I like to set it up with numerators and denominators and then multiply the ratios. All same terms will cross out and be opposite of each other.
(18 gal/1 hour) x (1 hour / 60 minutes), now we have (0.3 gallons/1 minute) we just have to change gallons to cups
(0.3 gallons/ 1 minute) x (4 quarts/1 gallon) x (2 pints/1 quart) x (2 cups/1 pint)
this comes out 4.8 cups/1 minute
Answer:
m∠MON = 15°
Step-by-step explanation:
The given parameters are;
m∠LON = 77°
m∠LOM = 9·x + 44°
m∠MON = 6·x + 3°
By angle addition postulate, we have;
m∠LON = m∠LOM + m∠MON
Therefore, by substituting the known values, we have;
∴ 77° = 9·x + 44° + 6·x + 3°
77° = 9·x + 44° + 6·x + 3° = 15·x + 47°
77° = 15·x + 47°
77° - 47° = 15·x
15·x = 77° - 47° = 30°
15·x = 30°
x = 30°/15 = 2°
x = 2°
Given that m∠MON = 6·x + 3° and x = 2°, we have;
m∠MON = 6 × 2° + 3° = 12° + 3° = 15°
m∠MON = 15°.
