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Sveta_85 [38]
3 years ago
12

A shirt boutique purchased 100 new shirts for $1072. The short-sleeved shirts cost $10 each and the long-sleeved shirts cost $12

each. How many short-sleeved shirts were purchased?
Mathematics
2 answers:
ladessa [460]3 years ago
7 0

Answer: 64 short-sleeved shirts were purchased.

Step-by-step explanation: (x = short-sleeved shirts. y = long-sleeved shirts.)  

x + y = 100

10x + 12y = 1072

—12(x + y = 100) >>> -12x - 12y = -1200                                                                                                           10x + 12y = 1072 (add the equations and cancel out the 12y)

-2x/-2 (-2 cancels out) = -128/-2   (divide both by -2)

<u>x = 64 shirts purchased for $10 each.   (Hope this helped!)</u>

(vvvThis next part doesn’t answer the question, but I should finish the equation.)

(Plug in 64 for x)>>> 64 + y = 100 (then, subtract 64 from both sides) >>> 64 - 64 = 0 (they cancel out) and 100 - 64 = 36

<u>y = 36 shirts purchased for $12 each.</u>

I really hope this helped! :)

Scilla [17]3 years ago
4 0

Answer:

one equation would be S+ L=36for the number of shirts sold.

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Samantha works at a bakery. The function f(x) = 3x2 − 5 represents the amount of money Samantha earns per cookie, where x is the
vfiekz [6]

Answer:

f(g(x)) = 15x³ - 5

Step-by-step explanation:

how confusingly described.

let me try and summarize what I understood :

f(x) = 3x² - 5

money earned when baking x cookies.

g(x) = sqrt(5x³)

the amount of cookies baked in x hours.

f(g(x)) now calculates how much money she earns when baking for x hours.

it is basically very simple : instead of f(x) we have f(g(x)), so g(x) is used as argument/variable in f instead of just plain x.

therefore,

f(g(x)) = 3×(sqrt(5x³))² - 5

with x now representing the baking hours, but f(...) calculating the overall money earned, by implicitly (!) calculating the amount of cookies baked in that time and taking that result automatically to calculate the earned money.

let's simplify this a little bit more.

f(g(x)) = 3×(sqrt(5x³))² - 5 = 3×(5x³) - 5 = 15x³ - 5

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2 years ago
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Juli2301 [7.4K]

Answer:

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Step-by-step explanation:

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How far, D, does a vehicle travel if it is moving at a rate, r, of 60 km/h and it travels for t =150 minutes? Use the formula D=
strojnjashka [21]

The distance of a vehicle travel is 150 km, at a moving rate of 60 km/h for 150 minutes.

Step-by-step explanation:

            The given is,

                   Moving rate, r = 60 km/h

                   Time, t = 150 minutes

Step:1

            We need to find the distance traveled by the vehicle,

            From given the formula is

                        D = rt

            Where,

                D = Distance in Km

                 r = Moving rate in Km/h

                 t = Time in hours

Step:2

         We need to convert the time minutes to hours

                   t = \frac{150}{60} hours

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Step:3

        Distance traveled by the vehicle is,

                D = 60 × 2.5

                    = 150

                D = 150 Km

Result:

      The distance traveled by the vehicle is 150 Km at a moving rate of 60 km/h for 150 minutes.

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