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Sidana [21]
3 years ago
10

Item 17 The cities Portland, Oregon; Tacoma, Washington; and Seattle, Washington, in respective order, lie approximately in a st

raight line. The distance from Portland to Tacoma is 120 miles. The distance from Portland to Seattle is 145 miles. Find the distance from Tacoma to Seattle.

Mathematics
1 answer:
muminat3 years ago
3 0

Answer:

Distance: 25 miles

Step-by-step explanation:

we have distances between cities as follows:

From Portland to Tacoma: 120 miles

from Portland to Seattle: 145 miles

120+x=145 ⇒ x = 145 - 120 = 25 miles

from Tacoma to Seattle : 25 miles (according graph)

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X + y = 24
Masja [62]

Answer:

(10, 14)

Step-by-step explanation:

To solve this system let's use substitution:

Solve the first equation for x, obtaining x = 24 - y, and then substitute 24 - y for x in the second equation:

3(24 - y) + 5y = 100

Performing the indicated multiplication, we get:

72 - 3y + 5y = 100

Combining like terms results in 72 - 100 = -2y, or -28 = -2y

Thus, y must be 14.

If y = 14, then the first equation tells us that x = 10.

Check:  Is this true?  3(10) + 5(14) = 100  YES

The solution is (10, 14).

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8 0
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A rectangle had an area of 24 cm(2) and a perimeter of 22 cm what is the length and width?
zavuch27 [327]

Answer:

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(You could also switch it. )

5 0
3 years ago
a cake calls for 1 1/2 cups of butter. one tablespoon equals 1/16 cup. How many tablespoons of butter do you need to make the ca
sasho [114]
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