The missing values in the inequality problem are;
A = -9
B = 72
C = 22
<h3>What is the explanation for the above?</h3>
5p - 8 (p + 1) > 16 ......................... (1) Given
5 (-10) - 8 (-10 +1) > 16 ...................... (2) Given
Where P is equal to 10 [Given in the second line as given in equation 2 above; Hence,
Substitute 10 for p
⇒ 5 (-10) - 8(-10+1)> 16
⇒ -50 -8(-9) > 16
⇒ -50 + 72 > 16
Hence
22 > 16 → T
Please note that T is symbolic of "True" that is
it is true that 22 is greater than 16.
Learn more about inequality problems:
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Answer:
Area of the new rectangle = 148.8 cm square
Step-by-step explanation:
Let x be the dimensions of the rectangle then the
Perimeter of the Original rectangle= 2(L+B)
= 2 ( 3x+2x) = 2(5x)= 10xcm
If the length is increased by eight the new length would be 3x+ 8
and width would be 2x+x= 3x after 50 % increase
Perimeter of the new rectangle= 2(L+B)
= 2 ( 3x+8 +3x)
= 2 (6x+8)
= 12x + 16
Ratio of the new perimeter to the original perimeter is
New perimeter : Original perimeter
8 : 5
12x+ 16 : 10x cm
80x= 60x + 16
20x= 16
x= 16/20= 4/5
Putting the value of length and breadth in place of x
Area of the new rectangle = L*B = 3 * (4/5) +8 *3(4/5)=
= 12+ 40/5 * 12/5
= 62/5* 12/5
= 744/5
= 148.8 cm square
Answer:
3x = 51
Step-by-step explanation:
Three and a variable multiplied equals 51.
Answer:
-5/2
Step-by-step explanation:
With Distributive property, we get 4x + 4 = -6. Subtract 4 from both sides and we get 4x = -10. Divide both sides by 4 and we get x = -5/2.
Answer:
9x + 8.
Step-by-step explanation:
2(x - 3) + 7(x + 2)
= 2x - 6 + 7x + 14
= 2x + 7x - 6 + 14
= 9x + 8.
Hope this helps!
