Answer:
Terms:
<em>5, 2x, 4, 3x</em>
Coefficients:
<em>2 in 2x, and 3 in 3x</em>
Constants:
<em>5 and 4</em>
Factors:
<em>5, 2x, and 4</em>
Step-by-step explanation:
For terms, all of them are terms because they are all in the expression.
For coefficients, coefficients are ones that have a variable (think of it as a <em>copilot</em> kind of thing).
For factors, factors are terms that are multiplied together together to get a <em>product</em> (the answer).
For constants, these are terms that stand alone, by themselves. They are not attached to variables.
The answer is <em>13x + 20, </em>too, just in case you needed that.
Have a great day and hope this helps!
Step-by-step explanation:
since both cords are equal, so are arc length
4x + 18 = 7x - 51
3x - 21 = 0
x = 7
arc RS = 4(7) + 18
Answer: b) they loaded 112356 lbs of cargo
Step-by-step explanation:
When a boat or an object floats in water, the volume of water that it displaces is equivalent to its weight.
When moving into the port, the cargo boat displaced 2200 ft³ of water. Since the density of water is 62.42 lb/ft³ and mass = density × volume, then the mass of the cargo boat on entering the port is
2200 × 62.42 = 137324 lbs
On leaving the port, it displaces 4000 ft³ of water. The mass of the cargo boat on leaving the port is
4000 × 62.42 = 249680 lbs
The difference in both masses is
249680 - 137324 = 112356 lbs
Therefore, they loaded 112356 lbs of cargo
Add them all together: 36
Hockey card probability: 4/36
Simplify: 1/9
Answer:
Step-by-step explanation:
Area of the rectangular piece A = xy
x is the length
y is the width
Perimeter =2x+2y
Given
Perimeter = 3044yds
3044 = 2x+2y
1522 = x+y
x = 1522-y
Substitute into the formula for area
A = xy
A = (1522-y)y
A = 1522y-y²
To maximize the area, dA/dy must be zero
dA/dy = 1522-2y
0 = 1522-2y
2y = 1522
y = 1522/2
y = 761
Since x+y = 1522
X+761 = 1522
X = 761
Dimension is 761yd by 761yd
Area = 761×761 = 579121yd²
