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Dahasolnce [82]
3 years ago
5

Duval County Landscaping uses two different sized trucks to deliver mulch. The first truck can transport x cubic yards of mulch,

and the second can transport y cubic yards of mulch. The first truck makes 12 trips to a job site, while the second makes 14 trips. Create an expression that represents the difference in the total number of cubic yards that the first truck delivers compared to the second.

Mathematics
2 answers:
Gre4nikov [31]3 years ago
8 0
For this case, the first thing we must do is define variables.
 We have then:
 x: number of cubic yards of mulch that first truck can transport
 y: number of cubic yards of mulch that second truck can transport
 Now we write the expression.
 The first truck makes 12 trips to a job site:
 12x

 The second makes 14 trips:
 14y

 The difference between the first truck and the second truck is:
 12x - 14y
 Answer:
 
An expression that represents the difference in the total number of cubic yards that the first truck delivers compared to the second is:
 
12x - 14y
gogolik [260]3 years ago
5 0
Uber simple. You're trying to find the difference in amount that truck one can carry compared to truck two. Truck two can make 14 trips and truck one can make twelve. To show the DIFFERENCE (Huge hint), you use the equation 12x-14y.
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The edges of the diameter of a circle are at (-1,2) and (3,-1). Write the equation of the circle in general form.
Y_Kistochka [10]

Answer:

(x-1)²+ (y-0.5)²=6.25

Step-by-step explanation:

<u>The standard form of equation of a circle is;</u>

(x-a)²+(y-b)²=r² where (a,b) are the center of the circle and r is the radius

<u>Finding the mid-point of the given points</u>

(-1,2) and (3,-1)⇒midpoint will be 1/2(x₁+x₂) , 1/2(y₁+y₂)

midpoint= {1/2(-1+3), 1/2(2+-1)}

midpoint=(1,0.5)

<u>Finding the radius r; the distance from the center to either of the given two points</u>

Apply the distance formula d=√ (x₂-x₁)² +(y₂-y₁)²

Taking (x₁,y₁) as (1,0.5) and (x₂,y₂) as (-1,2) then

d=√ (-1-1)² +(2-0.5)²

d= √ (-2)²+(1.5)²

d=√4+2.25⇒√6.25⇒2.5

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liraira [26]
12x-30 would be the accurate answer
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