Answer:
X= 30-4r/-6
Step-by-step explanation:
1. Move the 9 to the other side. (21+9=30)
2. subtract the 4r and move it to the other side (-6x=21-4r)
3. divide both sides by -6
Answer:
Step-by-step explanation:
Its about 42.67
Let x be the number of mm of pure alcohol to be added:
I will add the mm to express the volume in mm
100mm.(19%) + (100%).x mL = (100 mL+x mL).(40%).
Now right again without the %
100.(0.19) + x.(1) = (100+x).(0.4)
19 + x = = 40 + 04x
x - 0.4x = 40 - 19
0.6 x = 21
x = 21/0.6 and x = 35 mL. This te quantity of pure alcohol should to be added to get a solution at 40%.
Answer: See explanation
Step-by-step explanation:
Monday
1.) <em>1250 gallons of water for 1 ounce of Granular chlorine.</em>
<em></em>
2.) <em>w = 1250c</em>
Tuesday
9.5% of 50
0.095 × 50 = 4.75
<em>The fee costs $4.75</em>
Since the fee will be deducted from the selling price..
50 - 4.75 = 45.25
<em>Once he pays for the fee, he'll make $45.25.</em>
<em></em>
Wednesday
To get 1 cup of sugar, you multiply 4 to 1/4 meaning to find the proportional amount of flour used, you have to multiply 2/3 by 4
2/3 × 4 = 8/3
<em>She should use 2 ²/₃ cups of flour</em>
Since in the new recipe, we're multiplying everything by 4..
16 × 4 = 64
With this new recipe, she can make 64 cookies.
Thursday
4800 ÷ 6400 = 0.75
0.75 × 100 = 75
4800 is 75% of 6400
100 - 75 = 25
<em>So, the cost of health insurance for the family increased by 25%</em>
<em></em>
Friday
<em>y = 6x</em>
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.
