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pogonyaev
3 years ago
6

Tara baked 6 1/2 dozen cookies she sold 3 2/6 dozen of cookies she made how many dozens of cookies does Tara have remaining

Mathematics
1 answer:
zaharov [31]3 years ago
4 0
Convert the mixed numbers into improper fractions.
6 1/2= 13/2
3 2/6= 20/6
Now, find a common denominator. In this case, the common denominator is 6.
13/2*3/3=39/6
20/6 stays as 20/6
Subtract both fractions.
39/6-20/6=19/6
19/6 can be written as 3 1/6.
Tara has 3 1/6 dozen of cookies remaining.
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Answer:

Question 1;

∴ The y values are 1.49 , 2.98 , 4.47 and 5.96

Question 2;

∴ The y values are 2.00 , 2.8 , 3.6 and 4.4

Question 3;

∴ The y values are -9 , -3 , 3 and 9

Question 4;

∴ y values are\frac{1}{2} , \frac{3}{4} , 1 and \frac{5}{4}

Step-by-step explanation:

Question 1;

Given data,

Apples cost \$1.49 per pound.

x= weight in pound

y= Cost in \$

Here the relation between x and y comes;

y=x\times 1.49   (equation 1)

Let, Plug all x value in equation 1;

when x=1 then y=1\times 1.49=1.49,

when x=2 then y=2\times 1.49=2.98,

when x=3 then y=3\times 1.49=4.47,

when x=4 then y=4\times 1.49=5.96,

∴ The y values are 1.49 , 2.98 , 4.47 and 5.96

Question 2;

From question,

Initial fees of cab is \$2.00 and Passengers are charged  \$0.80 for every minute.

Let,

x= Time in minutes

y= Amount in \$

Here the relation between x and y comes;

y=x\times 0.80 +2.00    (equation 2)

Let,By plug all x value in equation 2;

When x=0 then y=0\times 0.80+2.00=2.00,

When x=1 then y=1\times 0.80+2.00=2.8,

When x=2 then  y=2\times 0.80+2.00=3.6,

When x=3 then  y=3\times 0.80+2.00=4.4,

∴ The y values are 2.00 , 2.8 , 3.6 and 4.4

Question 3;

Given relation between x and y;

y=6\times x +3

Plug all the values of x in above equation,

When x=-2 then y=(6\times -2) +3=-9,

When x=-1 then  y=(6\times --1) +3=-3,

When x=0 then y=(6\times 0) +3=3,

When x=1 then y=(6\times 1) +3=9,

∴ The y values are -9 , -3 , 3 and 9

Question 4;

Given relation between x and y;

y=(\frac{1}{4} \times x)+1

Plug all the values of x in above equation,

When x=-2 then y=(\frac{1}{4} \times -2)+1=\frac{1}{2},

When x=-1 then y=(\frac{1}{4} \times -1)+1=\frac{3}{4},

When x=0 then y=(\frac{1}{4} \times 0)+1=1,

When x=1 then y=(\frac{1}{4} \times 1)+1=\frac{5}{4},

∴ y values are \frac{1}{2} , \frac{3}{4} , 1 and \frac{5}{4}

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