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Westkost [7]
3 years ago
12

Use your equivalent expression to find the area of Brian's garden, in square feet, if x = 3 and y = 4. 3 points Part A: The area

of Brian's rectangular garden, in square feet, can be found by using the expression 6(2x + 5y). Use the distributive property to write an equivalent expression for the ares of Brian's garden.
Mathematics
1 answer:
jeyben [28]3 years ago
5 0

Answer:

156 square feet

Step-by-step explanation:

The area of Brian's rectangular garden, in square feet, can be found by using the expression 6(2x + 5y).

If x = 3 and y = 4

Substituting

6(2 × 3 + 5 ×4) square feet

6(6 + 20) square feet

Using Distributive property

6(6 + 20) square feet =( 6 × 6) + (6 × 20) square feet

6(6 + 20) square feet =(36+ 120) square feet

6(6 + 20) square feet = 156 square feet

Therefore, the area of Brian's rectangular garden, in square feet is 156 square feet

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Your class raised money by selling hot dogs and hamburgers. Hot dogs were sold for $.50 (fifty cents), and hamburgers were sold
LenKa [72]

Answer:

Number of hot dogs sold =  56

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Step-by-step explanation:

Let

Number of hot dogs sold = x

Number of  hamburgers sold = y

We can make equation from given equations:

0.50x+1y=80 (Hot dogs were sold for $.50 (fifty cents), and hamburgers were sold for $1 (one dollar). The total money raised by your class was $80. )

x+y=108  (Together you sold 108 hot dogs and hamburgers.)

Now we cam solve these system of equations to find value of x and y

0.50x+y=80--eq(1)\\x+y=108--eq(2)

Subtract both equations to get value of x:

0.50x+y=80\\x\:\:\:\:\:\:\:\: + y=108\\-\:\:\:\:\:\:\:\: -\:\:\:\:\:\: -\\---------\\-0.5x=-28\\x=\frac{-28}{-0.5}\\x=56

We get value of x = 56

Now putting value of x in equation 2 to find value of y

x+y=108\\56+y=108\\y=108-56\\y=52

So, we get y = 52

Therefore,

Number of hot dogs sold = x = 56

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