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Grace [21]
3 years ago
12

Tripp and Rico are two dogs. Tripp weighs exactly 35 pounds more than Rico. Together, they weigh exactly 49 pounds. How much doe

s each dog weigh? Please use Two-step equations!!!! plz, help!
Mathematics
1 answer:
babymother [125]3 years ago
5 0
Call the weights of the two dogs t and r.

We know that Tripp weights 35lbs more than Rico, or:
t=r+35

We also know that the total weight of both dogs is 49lbs.:
t+r=49

Now, by substitution:
(r+35)+r=49
2r+35=49
2r+35-35=49-35
2r=14
r=\frac{14}{2}
r=7
Rico weighs 7lbs.

Then:
t=r+35
t=7+35
t=42
Tripp weighs 42lbs.

To check our work:
t+r=49
42+7=49
49=49  CHECK!
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Answer:

51 mph

Step-by-step explanation:

→ The first thing we need is a formula which links speed, distance and time so,

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Speed = mph

Distance = metres/miles

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→ Since we want to work out the average speed of the entire journey we need to first work out the total distance and total time. Using the first sentence of the paragraph, it says that <em>the car travels at an average speed of 45 mph for 40 minutes, </em>we can rearrange the formula to work out the distance so,

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→ Remember that the time is hours but we substituted in minutes so we divide the time value by 60

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→ Substitute in the time value multiplied by the speed

Distance = 45 × 0.666666667 = 30

⇒ 30 metres/miles is overall distance for the first part of the journey

→ Now we have to work out the distance for the second part of the journey. State the distance formula.

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→ Substitute in the values into the distance formula

Distance = 60 × 25

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25 ÷ 60 = 0.416666667

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Distance = 60 × 0.416666667 = 25

⇒ 25 metres/miles is overall distance for the second part of the journey

→ Now we have to add the distance of both the journeys together

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→ Then we add the times of the journey together

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→ Convert 65 minutes into hours

65 ÷ 60 = 1.08333 hours

→ Substitute both values into the speed = distance ÷ time formula

Speed = 55 ÷ 1.08333 = 50.76923077

→ The question says to round it to the nearest whole number so,

50.76923077 = 51 mph

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