Answer:
(4d - 3e)(10d - 3e)
Step-by-step explanation:
(4d - 3e)² + 6d(4d - 3e) ← factor out (4d - 3e) from each term
= (4d - 3e)(4d - 3e + 6d) ← collect like terms inside parenthesis
= (4d - 3e)(10d - 3e)
Answer:
x = 4; x = -4
Step-by-step explanation:
|3x| = 12
3x = 12
3x/3 = 12/3
x = 4
3x = -12
3x/3 = -12/3
x = -4
Answer:
<u>x = 39</u>
Step-by-step explanation:
Let's recall that the interior angles of a triangle always add up to 180 degrees.
Upon saying that, we have:
102 + 39 + x = 180
x = 180 - 102 - 39
x = 39
<u>The value of x is 39 degrees</u>
Answer:
a. 11x + d
b. 15m + 10n
Step-by-step explanation:
a. 2(4c+5d) + 3(x-3d)
Break the brackets:
2*4c + 2*5d + 3*x - 3*3d
= 8x + 10d + 3x - 9d
Collect like termsL
= 8x + 3x + 10d - 9d
= 11x + 1d
b. 6(3m+n) - 4(m-n)
Break the brackets:
= 6*3m + 6*n - 3*m - 4*(-n)
= 18m + 6n - 3m - (-4n)
= 18m -3m + 6n + 4n
= 15m + 10n
Hope this helped :3
Answer:
less value
Step-by-step explanation:
To deterimine if value was improved or not, we need to compare the price reduction to the size reduction.
__
The reduction in price is ...
((new value)/(old value) -1) × 100%
= (42/50 -1) × 100% = -16%
The size reduction of 20% is more than the price reduction of 16%, so the chocolate bar is <em>less value</em>.
_____
<em>Additional comment</em>
Compared to the original value, the new price to chocolate ratio is ...
0.84/0.80 = 1.05
Effectively, the price was raised by 5%.
