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IgorC [24]
2 years ago
13

Adam is building a rectangular swimming pool. The perimeter of the pool must be no more than 120 feet. If the length of the pool

is 22 feet, write and solve an inequality that represents what the width of the pool must be
Mathematics
1 answer:
Orlov [11]2 years ago
5 0

2(22 + w) \leq 120

22 + w \leq 60

w \leq 38

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Laurissa rolls two number cubes, each with the numbers 1 through 6. Laurissa adds the numbers that appear in the roll. Which two
defon

Answer:

Let's analyze the possible sums of both dices, i will use the notation:

Dice1 + Dice 2 = sum.

also remember that we have 2 dices, with 6 options each.

So the total number of combinations is 6*6 = 36

we have 36 possible outcomes.

I will start at the extremes, the minimum that we can sum is 2, and the maximum is 12, then:

We can have 2 if:

1 + 1 = 2

only one permutation.

and 12 if:

6 + 6 = 12

Again, only one permutation.

so 2 and 12 have the same chance (1 out of 36)

now, to have 3 we can have:

2 + 1 = 3

or

1 + 2 = 3.

and to have 11

5 + 6 = 11

6 + 5 = 11

Again, 3 and 11 have the same probability (2 out of 36 options)

And now we can see a pattern.

4 and 10 will have the same chance.

5 and 9 will have the same chance

6 and 8 will have the same chance

7 is the only number that has an unique chance (and it has the largest one)

3 0
2 years ago
Which is the highest value 4.008,4.08,4.8 or 0.480?
Alex787 [66]

Answer:

4.8

Step-by-step explanation:

Let's see here we know the last one can't be the highest because there is no digit that is to the left of the decimal place, so that is a pure fraction, now we're all left with 4 in the left place, so we compare all the digits, and we find that the third option has 8 tenths, which is in fact greater than 8 hundredths or 8 thousandths.


Hit the Thank Button if this helps!

8 0
1 year ago
Read 2 more answers
What's 3/4 times 7/9 in simplest form
Alexxandr [17]
3/4 times 7/9:

First, we must use the rule for multiplying fraction. The rule is: a/b times c/d = ac/ bd. Let's substitute our problem into that formation.
\frac{3 \times 7}{4 \times 9}

Second, we can now simplify. (3 times 7 = 21) and (4 times 9 = 36). 
\frac{21}{36}

Third, since our fraction is not in the simplest form, we can simplify it down by listing the factors of both the numerator and denominator and then finding the greatest common factor (GCF). 

Factors of 21: 1, 3, 7, 21
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

The GCF is 3, since only 1 and 3 were the common factors and since 3 is the greatest common factor. 

Fourth, now we can divide our numerator (21) and denominator (36) by our recently found GCF which was 3. 

21 \div 3 = 7 \\ 36 \div 3 = 12

Our new fraction in its simplest form is 7/12.

Answer in fraction form: \fbox {7/12}
Answer in decimal form: \fbox {0.5833}
7 0
2 years ago
Read 2 more answers
There are 527 pencils 646 erasers 748 sharpeners there are to be put in seperate packets containing the same number of items fin
blsea [12.9K]

Step 1

<u>Find the Greatest Common Factor (GCF)</u>

the prime factorization of each number is equal to

527=17*31\\ 646=2*17*19\\ 748=2^{2} *11*17

The GCF is 17

That means that the maximum number of packets is 17 and the maximum number of the items possible in each packet is

Number of pencils=527/17=31 pencils in each packet

Number of erasers=646/17=38 erasers in each packet

Number of sharpeners=748/17=44 sharpeners in each packet

7 0
2 years ago
If you need to cut 5 pieces of glass from a 14 feet length, how long should each piece be
ivanzaharov [21]
2.8 feet because 14 divided by 5 equals 2.8
5 0
1 year ago
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