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Kryger [21]
2 years ago
5

In the continental United States,the ratio of states that border an ocean is 7:9 .How many of the states border an ocean?

Mathematics
2 answers:
torisob [31]2 years ago
8 0

Answer:  21 states

Step-by-step explanation:

Since, The total number of states in the continental United States is 48 in which some are in the border of ocean and some are not in the border of ocean.

According to the question,

The ratio of the states having the border to the ocean and not having the border to the the ocean = 7 : 9

Let the states having the border to the ocean = 7x

The the states do not having the border to the ocean = 9x

Thus,  7x + 9x = 48

⇒ 16 x = 48

⇒ x = 3

Thus, the states having the border to the ocean = 7 × 3 = 21

Delvig [45]2 years ago
3 0
So, there are 48 states, let's divide them into 16 groups  (because 7+9=16)


48/16=3

so that means there are 16 groups of 3 states.

and those groups are in a ratio of 7:9, seven to 9 groups.

I assume that the 7 refers to the states that border an ocean, then the number of states will be 7*3=21

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The second question:

Consider the division expression 7\frac{1}{2} / 2. Select all multiplication equations that correspond to this division expression.

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2* 7\frac{1}{2} = ?    ?  * 7\frac{1}{2} = 2

Answer:

1. See Explanation

2. 2 * ? = 7\frac{1}{2}     and     ? * 2  = 7\frac{1}{2}

Step-by-step explanation:

Solving (a):

Given

Students = 60

Group = Equal\ Sized

Required

Interpret \frac{60}{5} in 2 ways

<u>Interpretation 1:</u> Number of groups if there are 5 students in each

<u>Interpretation 2:</u> Number of students in each group if there are 5 groups

<u>Solving the quotient</u>

Quotient = \frac{60}{5}

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<u>For Interpretation 1:</u>

The quotient means: 12 groups

<u>For Interpretation 2:</u>

The quotient means: 12 students

Solving (b):

Given

7\frac{1}{2} / 2

Required

Select all equivalent multiplication equations

Let ? be the quotient of t 7\frac{1}{2} / 2

So, we have:

7\frac{1}{2}/2 = ?

Multiply through by 2

2 * 7\frac{1}{2}/2 = ? * 2

7\frac{1}{2} = ? * 2

Rewrite as:

? * 2 = 7\frac{1}{2}  --- This is 1 equivalent expression

Apply commutative law of addition:

2 * ? = 7\frac{1}{2}  --- This is another equivalent expression

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