Answer: <em>22</em>
Step-by-step explanation:
<em>Take the equation</em>
<em>4x-18+3y</em>
<em>Now plug in the values given</em>
<em>4(7)-18+3(4)</em>
<em>28-18+12</em>
<em>10+12</em>
<em>22</em>
Answer:
We'll be making 35 liters of 19% glucose.
How much of a 15% solution and a 35% solution do we mix in order to get 35 liters of a 19% glucose solution?
X = liters of 15% and Y = liters of 35%
(.15 X + .35 Y) / 35 = .19
The number of Y liters will equal (35 -X) so the equation becomes
(.15 X + .35 *(35-X) ) / 35 = .19
(.15X + 12.25 -.35X) / 35 = .19
(-.20 X / 35) + (12.25 / 35) = .19
(-.20 X / 35) + .35 = .19
(-.20 X / 35) = -.16
-.20X = -5.6
X = 28 liters of 15% and
Y = 7 liters of 35% glucose
Answer is "c" 28 liters
Answer:
Part A: WORK(Below) Part B: WORK (Below)
1) 2(2x-3)+2(x+4)=50 1) (2x-3) (x+4)
2) 4x-6+2x+8=50 2) 2(8)-3 (8+4)
3) 4x+2x+2=50 3) 16-3= 13 12
4) 6x+2=50 13* 12
-2 -2 Answer= 156
5) 6x=48
6 6
6) Answer: x=8
Step-by-step explanation: (PART A BELOW)
Step one (1): Multiply 2 times 2x and -3 multiply 2 times x and 2 times 4
Step four (4): Subtract -2 from 2 and 50
Step five (5): Divide 6x=48 by 6
Step Six (6): Answer: x=8
Step-by-step explanation: (PART B BELOW)
Step one (1): x equals to 8
Step Two (2): 2 times 8 which equals to 16 subtract -3
Step Three (3): 16-3=13
Step Four (4): (x+4)
Step Five (5) (8+4)=12
Step Six (6): 13 times 12
Step seven (7): <em>Answer: 156 </em>
<u><em>What is the Lenght and Width of the Graden?</em></u>
156<u><em> </em></u>
Answer:
yn +y -xn
Step-by-step explanation:
Mean= sum of numbers ÷number of numbers
x= sum of n numbers ÷n
<em>Multiply</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>n</em><em>:</em>
xn= sum of n numbers
sum of n numbers= xn -----(1)
Let the number added be a.
After a has been added,
y= (sum of n numbers +a) ÷(n+1)
<em>Multiply</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>(</em><em>n</em><em> </em><em>+</em><em>1</em><em>)</em><em>:</em>
y(n +1)= sum of n numbers +a
sum of n numbers= y(n +1) -a -----(2)
Substitute (1) into (2):
xn= y(n +1) -a
<em>Expand</em><em>:</em>
xn= yn +y -a
a= yn +y -xn
<u>Let's check!</u>
Let the numbers be 1, 2, 3 and 4.
mean, x= 10 ÷4= 2.5
n= 4
Let the new number added, a, be 7.
a= 7
mean, y= 17 ÷5= 3.4
a= yn +y -xn
a= 3.4(4) +3.4 -2.5(4)
a= 7
Thus, the expression is true.
Since 7 - 3 is in parentheses, I will subtract that first, giving me 4. Next, I divide 11 and 4. 11 / 4 = 2.75
