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3 years ago

13

A small number of cards has been lost from a complete pack. If I deal among four people, three cards remain. If I deal among thr

ee people, two remain and if I deal among five people, two cards remain. How many cards are there?

1 answer:

Lyrx [107]3 years ago

6 0

there are 19 cards there

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The area of a rectangle is 30+12x what are 3 possibilities for the length and width of the rectangle

Stolb23 [73]

In order to find the three possibilities, you must first think of common factors between 30 and 12:

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

Factors of 12: 1, 2, 3, 4, 6, 12

We can find three common factors between the two numbers: 2, 3, and 6. So these are three widths that we can use. The length can be found by factoring out the numbers from 30+12x (we can't factor out x):

30+12x=2(15+6x) Width: 2 Length: 15+6x

20+12x=3(10+4x) Width: 3 Length: 10+4x

20+12x=6(5+2x) Width: 6 Length: 5+2x

4 0

3 years ago

Margot has 21 1/2 pounds of flour 8 pounds of butter and 18 1/2 ponds of sugar to make shortbread cookies if she makes 12 batche

adell [148]

Answer:

<em>4 pounds of ingredients are used in each batch.</em>

Step-by-step explanation:

Amount of flour = $21\frac{1}{2}pounds = \frac{43}{2}pounds$

Amount of butter = 8 pounds

Amount of sugar = $18\frac{1}{2}pounds= \frac{37}{2} pounds$

So, the <u>total amount of all ingredients</u> will be: $(\frac{43}{2}+\frac{37}{2}+8)pounds = (\frac{43+37+16}{2}) pounds= \frac{96}{2} pounds = 48 pounds$

Given that, she makes 12 batches of cookies using all the ingredients.

Thus, the amount of ingredients used in each batch $=\frac{48}{12} pounds = 4 pounds$

5 0

3 years ago

When 142 is added to a number, the result is 64 more times than 3 times the number. What is the number?

allsm [11]

x+142 =3x+64

subtract x from each side

142 = 2x+64

subtract 64 from each side

142-64 = 2x

78=2x

divide by 2

78/2 = x

x=39

The number is 39

3 0

3 years ago

Read 2 more answers

10 (2)+1(2)<br><br> how do u solve this problem?

Ilya [14]

Answer:22

Step-by-step explanation:

10x2+1x2=

20+2

=22

4 0

1 year ago

Read 2 more answers

Polynomials are written with the exponents of the terms in ___ order

exis [7]

Answer:

numeric maybe?

7 0

2 years ago