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ss7ja [257]
2 years ago
8

the high school marching band rehearses with either 6 or 10 members in every line.What is the smallest number of people who can

be in the marching band?
Mathematics
2 answers:
swat322 years ago
7 0

Answer:

The smallest number of people who can be in the marching band are 30.

Step-by-step explanation:

The high school marching band rehearses with either 6 or 10 members in every line.

To get the smallest number of people who can be in the marching band, we will find the LCM of 6 and 10.

6 = 2 x 3

10 = 2 x 5

The LCM is 2 x 3 x 5 = 30.

Hence, the smallest number of people who can be in the marching band are 30.

If the students are 6 in each line, then there will be 5 lines in total.

If the students are 10 in each line, there will be 3 lines in total.

pshichka [43]2 years ago
4 0
<span>The high school marching band rehearses with either 6 or 10 members in every line.What is the smallest number of people who can be in the marching band? </span>
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A dust particle weighs 7.42 × 10-10 kilograms. What is the weight of 5 × 106 dust particles represented in scientific notation?
vova2212 [387]

5 x 106 = 530 particles

530 x 7.42x10^-10 = 3.93x10^-7

7 0
2 years ago
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Susan is attending a talk at her son's school. There are 8 rows of 10chairs where 54 parents are sitting. Susan notices that eve
kozerog [31]

Answer:

The largest possible number of adjacent empty chairs in a single row is 3

Step-by-step explanation:

The parameters given are;

The number of chairs = 8 × 10 = 80 chairs

The number of parents = 54

Sitting arrangements of parents = Alone or to one other person

Therefore;

The maximum number of parents on a row = 1 + 1 + 0 + 1 + 1 + 0 + 1 + 1 + 0 + 1 = 7

Hence when the rows have the maximum number of parents occupying the seats we have for the 8 rows;

7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 = 56

But there are only 54 parents, therefore, up to the 7th row will have 7 parents while the 8th row will have only 5 parents to make the possible sitting arrangement to be as follows;

7 + 7 + 7 + 7 + 7 + 7 + 7 + 5 = 54

The sitting arrangement for the 8th row is therefore

1 + 1 + 0 + 1 + 1 + 0 + 1 + 0 + 0 + 0

Hence there will be three empty seats in the 8th row making the largest possible number of adjacent empty chairs in a single row = 3.

4 0
2 years ago
A survey found that 50% of teenagers prefer to watch a movie at a theater over other viewing options. You want to know the estim
ella [17]

Answer:

1. Flip a fair coin four times, with heads representing teenagers who prefer watching a movie at a theater and tails representing those who do not.

2. Pick a card from a deck of standard playing cards four times, with red suits representing those who prefer watching a movie at a theater and black suits representing those who do not.

4. Roll a six-sided die four times, with even numbers representing those who prefer watching a movie at a theater and odd numbers representing those who do not.

Step-by-step explanation:

Basically you need to do something 4 times, with each time having a 50/50 chance.

For 1, it flips the coin 4 times and a coin toss is 50/50

For 2, it pics 4 cards, and the deck of cards has a 50-50 chance of either red or black

For 3, it spins it only 3 times, so is wrong

For 4, it rolls the die 4 times, and even and odd is 50-50

For 5, 0-5 consist of 6 number, while 6-9 is only 4 numbers thus is not 50-50 so is wrong

6 0
2 years ago
A company mixes pecans, cashews, peanuts, and walnuts to make a batch of mixed nuts. About 15.4% of the mixed nuts in a batch ar
Elan Coil [88]

Answer:

500 lb

Step-by-step explanation:

You have to make a proportion:

\frac{part}{whole} = \frac{percent}{100}

77 lb is part of the whole weight ( which we don't know) so 77 will go on top

The problem tells us that 15.4% of the total weight is pecans so 15.4 will go over 100 (since % are out of 100)

\frac{77}{x} = \frac{15.4}{100}

Then you cross multiply giving you: 7700 = 15.4x

then you divide 15.4 to both sides to isolate x which will give you 500

4 0
2 years ago
Two workers produced 86 parts and the first one produced 8 more parts than the second one. How many parts did each worker produc
Diano4ka-milaya [45]
1st worker produced x pants,
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x+x+8=86
2x=78
x= 39

x+8 = 
39+8 = 47

1st worker produced 39 pants,
2nd worker produced 47 pants.
6 0
2 years ago
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