Answer:
x=9
Step-by-step explanation:
−4(4−x)=4/5(x+16)
(−4)(4)+(−4)(−x)=(4/5)(x)+(4/5)(16)(Distribute)
−16+4x=4/5x+64/5
4x−16=4/5x+64/5
4x−16−4/5x=4/5x+64/5−4/5x
16/5x−16=64/5
16/5x−16+16=64/5+16
16/5x=144/5
(5/16)*(16/5x)=(5/16)*(144/5)
x=9
hopfully this helps answer: x=9
Answer:
Solve for y in the second equation
Step-by-step explanation:
We assume your system is ...
Dividing <em>the </em><em>second equation</em> by 3 gives ...
-3x +y = 1
so an expression for y without fractions can be found by <em>solving for y</em>, that is, by adding 3x:
y = 3x +1
_____
<em>Comment on alternate solution</em>
We'd be tempted to solve the first equation for -9x and substitute for that.
-9x = 10 -4y
(10 -4y) +3y = 3 . . . . . substitute for -9x
-y = -7 . . . . . . . . . . . . . simplify, subtract 10
y = 7 . . . . . . . . . . . . . . multiply by -1
Answer:
Her current age is 8 years old.
Step-by-step explanation:
Current age: x
"In 10 years, a child’s age will be 6 years less than triple her current age."
In 10 years: <u>x + 10</u>
6 years less than triple: <em>3x - 6</em>
<u>x + 10</u> = <em>3x - 6</em>
<em>solve.</em>
<em>16 = 2x</em>
<em>x = 8</em>
A) In 1st Figure, Blue boxes means unit of diet soda = 8
Green boxed is regular sods = 4
Total Boxes = 12
Value of 1 Box = 888/12 = 74
Now, We know, we have 74 soda in each box, and 8 boxes of diet soda, so the number of diet soda = 74 * 8 = 592
In short, Your Answer would be: 592B.) Now, In 2nd figure, You can see
Red boxes mean Short sleeve short which is = 3
Green means Long sleeve = 7
Total Boxes = 10
Value of 1 Box = 460/10 = 46
Now, we know we have 46 shirts in each boxes and their is 3 boxes of short sleeves.
So, Number of Short sleeves = 46 * 3 = 138
In short, Your Answer would be: 138Hope this helps!