Answer:
Both answers are correct
Step-by-step explanation:
both y = 1 - 3/2x and y = 1 + -3/2x are correct answers, it is just that y= 1 - 3/2x is the simpler version. Adding a negative number is the same as subtracting a positive.
You will get the incorrect answer because lining up the digits when adding or subtracting is important but it isn’t needed for multiplying.
Answer: 9 = 6t
how many t's are there in the model? there are 6 ts. 6t makes 9, so 9 is equal to 6t.
ps. the equation could also be 6t = 9 but its basically the same thing (:
We will assume that each of their cups holds exactly 1 cup of liquid. Let <em>m</em> represent milk and <em>c</em> represent coffee.
Jane = 1/2<em>m</em> + 1/2<em>c</em> to represent 1/2 milk and 1/2 coffee
Jean, June, and Joan = 3(1/4<em>m</em> + 3/4<em>c</em>) [they all 3 like the same ratio, so multiply the expression by 3], to represent 1/4 milk and 3/4 coffee
Ian = 1<em>c </em>(since he likes black coffee, his entire 1-cup dish of coffee will be coffee)
Adding these together we have:
1/2<em>m</em> + 1/2<em>c</em> + 3(1/4<em>m</em> + 3/4<em>c</em>) + 1<em>c</em>
= 1/2<em>m</em> + 1/2<em>c</em> + 3/4<em>m</em> + 9/4<em>c</em> + 1<em>c</em>
Find a common denominator:
= 2/4<em>m</em> + 2/4<em>c</em> + 3/4<em>m</em> + 9/4<em>c</em> + 1<em>c</em>
Convert the 1 whole to a fraction:
= 2/4<em>m</em> + 2/4<em>c</em> + 3/4<em /><em>m</em> + 9/4<em>c</em> + 4/4<em>c</em>
Combine your <em>m</em>'s:
= 5/4<em>m</em> + 2/4<em>c</em> + 9/4<em>c</em> + 4/4<em>c</em>
Combine your <em>c</em>'s:
= 5/4<em>m</em> + 15/4<em>c</em>
We know there is 4 times as much coffee as milk. Looking at the two fractions we have left, we can see that 15/4<em /> = 3(5/4). We would expect to see 4(5/4), since there is 4 times as much coffee. That means we have 5/4 or 1 1/4 of the liquid left.
