You have 6 pints of glaze. It takes 7/8 of a pint to glaze a bowl and 9/16 of a pint to glaze a plate. a. How many bowls could you glaze? How many plates could you glaze? You could glaze bowls. You could glaze plates. b. You want to glaze 5 bowls, and then use the rest for plates. How many plates can you glaze? How much glaze will be left over? You could glaze plates and will have pints of glaze left over. c. How many of each object could you glaze so that there is no glaze left over? Explain how you found your answer. You could glaze bowls and plates. The bowls use pints of glaze and the plates use pints of glaze, for a total of 6 pints of glaze.

a.

How many bowls could you glaze?

we can only glaze 6 bowls

How many plates could you 10 plates

b. You want to glaze 5 bowls, and then use the rest for plates.

How many plates can you glaze?

Hence we can only glaze 2 plates

How much glaze will be left over?

8/9

c. How many of each object could you glaze so that there is no glaze left over?

= 4 4/23 bowls and 4 4/23 plates

Step-by-step explanation:

You have 6 pints of glaze. It takes 7/8 of a pint to glaze a bowl and 9/16 of a pint to glaze a plate.

a.

How many bowls could you glaze?

It takes 7/8 of a pint to glaze a bowl

We have 6 pint

7/8 pint = 1 bowl

6 pints =

6 pints/ 7/8

= 6 × 8/7

= 48/7

= 6.8571428571 bowls

We can't glaze decimal of a bowl, hence, we can only glaze 6 bowls

How many plates could you glaze?9/16 of a pint to glaze a plate.

9/16 pint = 1 bowl

6 pints =

6 pints/ 9/16

= 6 × 16/9

= 10.666666667 plates

We can't glaze decimal of a plate, hence, hence can only glaze 10 plates

b. You want to glaze 5 bowls, and then use the rest for plates.

1 bowl = 7/8 pints

5 bowls =

5 × 7/8pints

= 4 3/8 pints of glaze would be used for bowls

How many plates can you glaze?

The rest is for plates, hence:

6 pints - 4 3/8

1 5/8 pints of glaze would be left over to glaze plates.

Hence if

9/16 pints = 1 plate

1 5/8 pints =

= 2 8/9

Hence we can only glaze 2 plates

How much glaze will be left over?

8/9

You could glaze plates and will have pints of glaze left over.

c. How many of each object could you glaze so that there is no glaze left over?

We have 6 pints of glaze

7/8 x + 9/16 × x = 6 pints

= 4 4/23 bowls and 4 4/23 plates

except a rational number. : )

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions