Ivan has 6 times as many blue beads as red beads he has 49 red and blue beads in all how many blue beads does Ivan have

Mathematics

1 answer:

Charra [1.4K]3 years ago

8 0

Ivan has 42 blue beads and 7 red beads

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Tony has 2 3/4 quarts of lemonade and paper cups that each hold 1/2 of a quart. How many paper cups can Tony fill with lemonade?

Alex Ar [27]

The total number of paper cups that Tony can fill with the available lemonade is 5 $\frac{1}{2}$ quarts

Step by step explanation :

Step 1 :

Total quantity of lemonade Tony has = 2 $\frac{3}{4}$ quarts = $\frac{11}{4}$ quarts

Total quantity of lemonade that the paper cup can hold = $\frac{1}{2}$ quarts

We need to find the total number of paper cups that can be filled with the available lemonade.

Step 2 :

The number of paper cups that can be filled with the available lemonade can be obtained by dividing the total available lemonade with the quantity that each cup can hold.

Hence the total number of paper cups = $\frac{11}{4}$ × $\frac{2}{1 }$

= $\frac{11}{2}$ = 5 $\frac{1}{2}$ quarts

Step 3 :

Answer :

The total number of paper cups that Tony can fill with the available lemonade is 5 $\frac{1}{2}$ quarts

6 0

3 years ago

A car care company sells 45-in. Upholstery fabric for car restoration. Art bought 9 7/12 yd and 11 13/16 yd for two car projects

kvv77 [185]

Answer:

$21\frac{19}{48}\ yards$

Step-by-step explanation:

Art bought $9\frac{7}{12}$ and $11\frac{13}{16}$ yards of fabric.

Total fabric bought: $9\frac{7}{12} + 11\frac{13}{16}$

To add both fractions, we convert them into improper fractions (multiply denominator with whole number, then add the numerator) and then we find the LCM of the two denominators: 12 and 16

LCM of 12 and 16 = 48

$\frac{115}{12} + \frac{189}{16}\\\\\frac{460}{48} + \frac{567}{48}\\\\\frac{460 + 567}{48}\\\\\frac{1027}{48}$