Let's use the variables N and Q for the number of nickels and the number of quarters.
We know there are 49 total coins, so we can write the following equation:
N + Q = 49
We can solve this equation for one variable which will help in the next step. Let's solve for N:
N = 49 - Q
Next, we know that nickels are worth $0.05 and quarters are worth $0.25. We can use these values along with the total value of $8.85 to create another equation.
0.05N + 0.25Q = 8.85
Now we can use substitution to solve our system out equations. We solved the first equation for N, so we can plug 49 - Q in for N.
0.05(49-Q) + 0.25Q = 8.85
Distribute and combine like terms.
2.45 - 0.05Q + 0.25Q = 8.85
2.45 + 0.2Q = 8.85
0.2Q = 6.4
Q = 32
Plug 32 in for Q in N + Q = 49 to find the number of nickels.
N + 32 = 49
N = 17
Dustin has 32 quarters and 17 nickels.
The answer would be 61. First, if you are trying to figure out the pattern. You must subtract the
second number with the first then fourth number with the fifth and so
on, you get.
73 minus 66 equals 7.
21 minus 13 equals 8.
XX minus 52 equals x.
20 minus 10 equals 10.
Basing on the pattern of the set of numbers, x will equal 9, To get this you must do 52 and 9 which will equal 61.
A) The answer is 9.3 * 10⁷ mi
First, represent the number as the product of a number in the range 1 up to 10 and a number divisible by 10:
93,000,000 mi = 9.3 * 10,000,000 mi
10,000,000 = 10 * 10 * 10 * 10 * 10 * 10 * 10 = 10⁷
93,000,000 mi = 9.3 * 10,000,000 mi = 9.3 * 10⁷ mi
b) The answer is 4 * 10⁻² in
Represent the number as the product of a number in the range 1 up to 10 and a number divisible by 10.
0.04 in = 4 * 0.01 in
0.01 = 10⁻²
0.04 in = 4 * 0.01 in = 4 * 10⁻² in
c) The distance to the sun in inches is 5,892,480,000,000 in
1 mi = 63,360 in
93,000,000 mi = 93,000,000 * 63,360 in = 5,892,480,000,000 in
<span>How many fireflies would it take to reach the sun if they were put end to end:
</span>147,312,000,000,000<span>
x - number of fireflies
x * 0.04 in = </span>5,892,480,000,000 in
x = 5,892,480,000,000 in / 0.04 in
x = 147,312,000,000,000
