Answer:
462 000mg
Step-by-step explanation:
1gram = 1000milligrams
Hence...462 grams...,
; 462 × 1000 = 462 000mg
Answer: v=-81.92
Step-by-step explanation:
Multiply both parts of the equation by 8:
Answer:
The length is 16 ft, and the width is 3 ft.
Step-by-step explanation:
Let L = length & let W = width.
The perimeter of a rectangle is
P = 2(L + W)
The area of a rectangle is
A = LW
We know the perimeter and the area, so we substitute those values int he equations above and we switch sides in both equations.
Perimeter: 2(L + W) = 38
Divide both sides by 2:
L + W = 19
Area: LW = 48
We have a system of two equations in two unknowns:
L + W = 19
LW = 48
Solve the first equation for L and substitute it into the second equation.
L = 19 - W
(19 - W)W = 48
19W - W^2 - 48 = 0
Multiply both sides by -1, and rearrange the order of the terms.
W^2 - 19W + 48 = 0
(W - 16)(W - 3) = 0
W - 16 = 0 or W - 3 = 0
W = 16 or W = 3
Use W = 3 to find L
L = 19 - W
L = 19 - 3
L = 16
Answer: The length is 16 ft, and the width is 3 ft.
Answer:
x = -4
m<LMP = 77°
m<NMP = 103°
Step-by-step explanation:
Straight angles by definition have a total measure of 180°.
This means that m<LMP and m<NMP are 180° together.
Therefore m<LMP + m<NMP = 180°.
[substitution property]
(-16x + 13)° + (-20x + 23)° = 180°
[associative property of addition]
(-36x + 36)° = 180°
-36x + 36 = 180
–36 –36
-36x = 144
÷-36 ÷-36
x = -4
_________________
Since m<LMP = (-16x + 13)°.
Using substitution with x = -4:
m<LMP = (-16(-4) + 13)° = (64 + 13)° = 77°.
Since m<NMP = (-20x + 23)°.
Using substitution with x = -4:
m<NMP = (-20(-4) + 23)° = (80 + 23)° = 103°.
This is true because 77° + 103° = 180°.
Answer:
3:4
Step-by-step explanation:
That ratio would be 12:16, or 3:4.
