8m + 2q = 18.00
3m + q =. 7.50
8m + 2q = 18.00
-6m - 2q = -15.00
2m = 3.00
m = $1.50 each muffin
3(1.50) + q = 7.50
4.50 + q = 7.50
q= $3.00 for each quarter of milk
Answer:
84 pies
Step-by-step explanation:
if you multiply 42 pounds by4 pecks. You get 168 pounds. and then you divide that by 2 and you can make 84 pies
Answer : Option 'b' is correct.
Explanation :
Since we know that the length of apparent solar day= 24 hours approximately
And the length of normal days = 23 hours 56 minutes 4.1 seconds
So, the approximate length of an apparent solar day from June 21, 2010 to June 22, 2010 will be 24 hours 0 minutes 4.1 seconds .
As we increase the length of normal days by 4 minutes .
So, Option 'b' is correct.
Let <em>n</em> be the unknown number. We can write it as
<em>n</em> = 10<em>a</em> + <em>b</em>
with <em>a</em> and <em>b</em> integers between 1 and 9 (either with positive or negative sign).
Reversing the digits gives another number
<em>m</em> = 10<em>b</em> + <em>a</em>
The first number is increased by 54 when the digits are reversed, which means
<em>m</em> = <em>n</em> + 54 → 10<em>b</em> + <em>a</em> = 10<em>a</em> + <em>b</em> + 54 → 9<em>b</em> - 9<em>a</em> = 54 → <em>b</em> - <em>a</em> = 6
The digit in the tens place of <em>n</em> is 3 times the digit in the ones place, so
<em>a</em> = 3<em>b</em>
Substitute this into the previous equation and solve for <em>b</em> :
<em>b</em> - <em>a</em> = <em>b</em> - 3<em>b</em> = -2<em>b</em> = 6 → <em>b</em> = -3
Solve for <em>a</em> :
<em>a</em> = 3<em>b</em> = 3(-3) = -9
Then the original number is <em>n</em> = 10<em>a</em> + <em>b</em> = 10(-9) + (-3) = -93
