Answer:
p=-7
Step-by-step explanation:
-11+10(p+10)=4-5(2p+11)
Firstly, expand the bracket
-11+10p+100=4-10p-55
Next, you collect like terms
10p+10p=4-55-100+11
20p=-140
Divide through by the coefficient of p
20p/20=-140/20
p=-7
Answer:
The length is 23 inches and the width is 6 inches.
Step-by-step explanation:
The perimeter for a rectangular shape is represented as:
P = 2L + 2W, where L represents length and W represents width
We can represent the length as:
L = 3W + 5
Substituting this into the perimeter function, we get:
P = 2 (3W + 5) + 2W
Substituting 58 for P, we get:
58 = 2 (3W + 5) + 2W
58 = 6W + 10 + 2W
58 = 8W + 10
58 - 10 = 8W + 10 - 10
48 = 8W
48 / 8 = 8W / 8
6 = W
With 6 being the established value for the width, we can substitute this back into the equation for length:
L = 3W + 5
L = 3(6) + 5
L = 18 + 5
L = 23
To check our work, we can substitute both the width and length into the perimeter equation:
P = 2L + 2W
58 = 2(23) + 2(6)
58 = 46 + 12
58 = 58
Therefore, length is 23 inches and the width is 6 inches.
For simplicity, disregard the fractions. Then you have 48 + (- 39), since opposite signs change into a negative sign, you have 48 - 39. What is the answer?
POSITIVE
Answer: The angles are 67.5°, 22.5° and 90°.
Step-by-step explanation:
It should be noted that a straight angle is always equal to 180°.
The straight angle is split in the ratio 3:1:4.
The measure of each angle will be:
a. = 3/(3+1+4) × 180°
= 3/8 × 180°
= 67.5°
b. 1/8 × 180° = 22.5°
c. 4/8 × 180° = 90°
The angles are 67.5°, 22.5° and 90°.
Answer:
x=2
Step-by-step explanation:
3(x+20/3=12/3
x+2=4
x+2-2=4-2
x=2
