Answer:
4
Step-by-step explanation:
This situation has two unknowns - the total number of half dollars and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.
- h+q=31 is an equation representing the total number of coins
- 0.50h+0.25q=11 is an equation representing the total value in money based on the number of coin. 0.50 and 0.25 come from the value of a half dollar and quarter individually.
We write the first equation in terms of q by subtracting it across the equal sign to get h=31-q. We now substitute this for h in the second equation.
0.50(31-q)+0.25q=11
15.5-0.50q+0.25q=11
15.5-0.25q=11
After simplifying, we subtract 15.5 across and divide by the coefficient of q.
-0.25q=-4.5
q=4
We now know of the 31 coins that 4 are quarters.
Answer:
5(1/5^3) ≠ 5(5^3)
Step-by-step explanation:
5(1/5^3) = 5(5^3)
5/27 = 625
5(1/5^3) ≠ 5(5^3)
The sides aren't equal, so this equation is FALSE.
The answer of this question is b
The multiplicative inverse of a number is the number when you multiply it, it gives you the product of 1.
So for - 27, what number will give us 1 when we multiply it by -27
-27 * -1/27 = 1
So the multiplicative inverse of -27 = -1/27
7/9 * 9/7 = 1
-9/16 * -16/9 = 1
So in essence, just take the number and flip it
-27 = -1 / 27
7/9 = 9/7
-9/16 = -16/9
Answer:
a. Short-Sleeve = 35
b. Long-Sleeve = 27
Step-by-step explanation:
Given data:
Total shirts sold = 62
short sleeved cost = 11 each
Long sleeved cost = 17 each
Total receipts = 844
<em>Let the count of short sleeved be X and Let the count of long sleeved be Y</em>
X + Y = 62 <em>(equation 1) from the total shirts sold</em>
11X + 17Y = 844 <em>(equation 2) from the total receipts</em>
<em>From equation 1</em> X = 62 - Y <em>(Equation 3)</em>
<em>Substituting equation 3 into equation 2</em>
11(62 - Y) +17Y = 844
682 -11Y + 17Y = 844
-11Y + 17Y = 844-682
6Y = 162
Therefore Y = 27
<em>Substituting Y into equation 3</em>
X = 62 - Y
X = 62 - 27
X = 35
