7 dimes+7 pennies
or 77 pennies
or 7 dimes+1 nickle+2 pennies
<u>3 different ways!!!</u>
Answer:
2.2 grams
Step-by-step explanation:
We can use the compound decay formula shown below to solve this:

Where
F is the final amount (what we want to find)
P is the present amount (490 grams)
r is the rate of decay, in decimal (28.6% = 28.6/100 = 0.286)
t is the time in minutes (16)
Substituting, we get:

So, after 16 minutes, 2.2355 grams will be remaining.
<em>Rounded to nearest tenth of a gram (1 decimal place) = </em><em>2.2 grams remaining</em>
Answer:
2/5
Step-by-step explanation:
expressing 1 1/2 in an improper fraction:
1 1/2 = 3/2
Hence
(3/5) ÷ (1 1/2)
= (3/5) ÷ (3/2) (convert divide to multiply by flipping divisor fraction)
= (3/5) x (2/3)
= (3 x 2) / (5 x 3)
= 6/15 (divide both numerator and denominator by 3)
= 2/5
Good evening,
Answer:
x > 5
x ≤ 12
Step-by-step explanation:
Visualize as if the inequality symbols are equal signs and then solve it as you would for a normal equation, note if you divide by two negative numbers at all you then switch the sign.
On a number line, an inequality sign without the “equal to” is plotted with an open circe.
An inequality sign, with the “equal to” is plotted with a closed circle.
3x - 7> 8
Add seven on both sides, we do this because we want to eliminate the 7 from one side.
3x > 15
Divide both sides by 3, we do this because you want to get rid of the 3 from x.
x > 5
As for the second inequality.
Divide both sides by -3, as I mentioned earlier switch the side since we are dividing by two negative numbers.
x ≤ 12
For the greater than inequality x > 5, plot a open circle on 5 and draw the line going to the right.
For the less than or equal to inequality x ≤ 12, plot a closed cirlce on 12 and draw the line going to the left.
A unique trick is to graph the line based on the direction (right or left) the inequality symbol is pointing to.
Let's break it down into something more simple:
What's 10 times 10? 100
What's 10 times 10 times 10? 1000
Do you see a pattern? (Cool trick - The number of 10s match the number of 0s in the answer)
We have seven 0s in our answer, so let's check:
10 x 10 x 10 x 10 x 10 x 10 x 10 = 10,000,000
An exponent tells us that we're multiplying the big number by itself however many times the little number in the corner tells us.
So if we multiply 10 by itself 7 times (what we did above), then our answer will be 10 to the power of 7, or
. This is equal to 10,000,000.