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spayn [35]
3 years ago
7

Homework (5)

Mathematics
1 answer:
adelina 88 [10]3 years ago
7 0

Answer:

28

Step-by-step explanation:

Let's set the ratio as

7x : 9x

If you add all the states that border an ocean and do not, you will get 48 states (because Alaska and Hawaii are not part of the continental US, as they do not touch the "main" part of the country)

So, we can write this equation.

7x + 9x = 48

Simplify.

16x = 48

Divide both sides by 16.

x = 4

Now, find how many states border an ocean. In our ratio, the number of states that border an ocean was 7x. Substitute x = 4 into 7x

7 * x = 7 * 4 = 28

The number of states that border an ocean is 28.

I hope this helps! Feel free to ask any questions!

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22 customers are eating dinner at an Italian restaurant. Of the 22 customers, 18 order pizza, 10 order a salad, and 8 order pizz
Ne4ueva [31]

Answer:

Step-by-step explanation:

P(A) = 18/22

P(B) = 10/22

P(A and B) = 8/22

P(A or B) = 18/22 * 10/22 = 0.37

4 0
3 years ago
The sum of three consecutive even integers is 126. Let x represent the least consecutive integer.
nika2105 [10]
Just as an example, three consecutive integers might be 4,5,6.

If x is the least of these (4 in our example), then the other two integers would be x+1, and x+2.

Then the sum of our three integers is x + (x+1) + (x+2). 

Addition is commutative so we can switch any two terms, and it is also associative so we can regroup any terms. This lets is rearrange things with all the "x" together and all the numbers together like this:

(x+x+x) + (1+2) OR 3x + 3

According to the problem, the sum is 126, so 3x+3 = 126.
3x = 123
x = 41 (which is the smallest consecutive integer)

Check our answer: 41 + 42 + 43 = 126.
4 0
3 years ago
What is the answer to (-2)^3-2^3
ANEK [815]
Approaching algebraicly(Take 2 as x)
(-x)^3-x^3
Simplify
Result is -2x^3
Put back 2
-2(2)^3 = -2(8)
= -16
6 0
3 years ago
Leroy uses 20 pounds of fertilizer to cover 4000 ft.² of his lawn and 50 pounds to cover 10,000 ft.². How much does he need to c
Free_Kalibri [48]
So 20:4000=1:200
and 50:10000=1:200
reverse
1lb:200ft^2
100ft^2=0.5lb
needs to cover 26400ft^2
100 times 264=26400 so
0.5 lb times 264=132 lb needed for entire yard
6 0
3 years ago
Describe how you would write 5.04 X 10^6 in standard form.
Margarita [4]

You move the decimal point 6 places to the right because the exponent is positive.

5.04 x 10^6 in standard form is 5040000.

3 0
3 years ago
Read 2 more answers
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