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zhannawk [14.2K]
3 years ago
11

17/20 equals t plus -13/20 solve for t

Mathematics
1 answer:
docker41 [41]3 years ago
8 0

The value of t is 3/2 or 1.5

<u>Step-by-step explanation</u>:

The given expression is 17/20 equals t plus -13/20.

<u>Changing it into an equation form :</u>

⇒ t + (-13/20) = 17/20

Keeping t alone on one side and constant terms to the another side,

t = (17/20) + (13/20)

Since the denominators are same, it is easy to simplify those fractions.

⇒ t = (17+13)/20

⇒ t = 30/20

⇒ t = 3/2

⇒ t = 1.5

The solution is t= 3/2 or t= 1.5

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You plan to take a 7-day trip to California. You estimate that it will cost $275 per day to visit Los Angeles, and $400 per day
Viktor [21]

Answer:

You can spend 4 days in Los Angeles and 3 days in San Francisco.

Step-by-step explanation:

From the information given, you can write the following equations:

x+y=7 (1)

275x+400y=2,300 (2), where:

x is the number of days to visit Los Angeles

y is the number of days to visit San Francisco

First, you can solve for x in (1):

x=7-y (3)

Now, you can replace (3) in (2):

275(7-y)+400y=2,300

1,925-275y+400y=2,300

125y=2,300-1,925

125y=375

y=375/125

y=3

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x=7-3

y=4

According to this, the answer is that you can spend 4 days in Los Angeles and 3 days in San Francisco.

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3 years ago
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2 years ago
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Paul went on a bike ride of 30 miles. He realized that if he had gone 8 mph faster, he would have arrived 12 hours sooner. How f
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Answer: He actually rode 2 miles per hour on his trip

Step-by-step explanation: Maybe unconventional, but express the time it took, then figure the speed.

Time  = distance /speed  t will represent time, s is the speed:  t = 30/s Use the rime it would have taken at the higher speed to create an equation:

t-12 = 30/s+8   replace the y with the 30/s

30/s -12 = 30/s+8

(s)(30/s -12 ) = (s)(30/s+8 )  Cross multiply to cancel denominators  

(s-8)(30 -12s) = (s-8)(30s/s+8 ) ==> 30s +240 -12s² -96s =30s   Simplify:  

(-1)(-12s² -96s +240 ) =0 ==>  12s² +96s -240  divide all by 12

s² + 8s -20 = 0   Factor and solve for s

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