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Papessa [141]
3 years ago
10

On a map of North Carolina has a scale of 1 in = 60 miles. If from Charlotte to

Mathematics
2 answers:
aliina [53]3 years ago
8 0

Answer:

270 miles

Step-by-step explanation:

Alexandra [31]3 years ago
6 0

Answer:

270 miles

Step-by-step explanation:

60 * 4.5 = 270

Each inch is equal to 60 miles. You can set up a ratio like this.

\frac{1}{60} = \frac{4.5}{x}

Cross multiply to solve for x (or use a calculator).

x = 270

Note in our equation that the denominators are miles and numerators are inches. These much match or else you will get an incorrect answer.

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A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 85
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First, "boxes of two sizes" means we can assign variables:   Let x = number of large boxes        y = number of small boxes   "There are 115 boxes in all"    means    x + y = 115      [eq1] Now, the pounds for each kind of box is:     (pounds per box)*(number of boxes) So,   pounds for large boxes     +    pounds for small boxes      =    4125 pounds                  "the truck is carrying a total of 4125 pounds in boxes"          (50)*(x)                   +              (25)*(y)                  = 4125    [eq2] It is important to find two equations so we can solve for two variables. Solve for one of the variables in eq1 then replace (substitute) the expression for that variable in eq2.  Let's solve for x:    x = 115 - y          [from eq1]      50(115-y) + 25y = 4125             [from eq2]      5750 - 50y  + 25y = 4125           [distribute]      5750 - 25y = 4125       -25y = -1625          y = 65             [divide both sides by (-25)]   There are 65 small boxes. Put that value into either equation (now, which is easier?) to solve for x:   x = 115 - y   x = 115 - 65   x = 50    There are 50 large boxes.
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A line that includes the point (-9, 1) has a slope of 1. What is its equation in
SVETLANKA909090 [29]

Answer:

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Step-by-step explanation:

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