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spayn [35]
3 years ago
7

Freddie is walking for a charity at a constant rate. After two hours, Freddie has walked 4 miles. At 4 hours, he had walked 8 mi

les. Write an equation to find the total distance, y, after x hours. How long will it take Freddie to walk 25 miles?​
Mathematics
1 answer:
lesantik [10]3 years ago
8 0

Answer:

Freddie would have walked 25 miles after 12 and a half hours.

Step-by-step explanation:

Given that Freddie is walking at a constant speed, and after 2 hours he walked 4 miles, while after 4 hours he walked 8 miles, to determine how long he walked 25 miles, the following calculation must be performed:

4/2 = Miles per hour

2 miles per hour

2X = Y

2X = 25

X = 25/2

X = 12.5

Therefore, Freddie would have walked 25 miles after 12 and a half hours.

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Answer:

In grade 8, students learned that some systems of linear equations have many solutions. This warm-up reminds students about this fact, while also prompting them to use what they learned in this unit to better understand what it means for a system to have infinitely many solutions.

The first equation shows two variables adding up to 3, so students choose a pair of values whose sum is 3. They notice that all pairs chosen are solutions to the system. Next, they try to find a strategy that can show that there are countless other pairs that also satisfy the constraints in the system. Monitor for these likely strategies:

Solving by graphing: The graphs of the two equations are the same line, so all the points on the line are solutions to the system.

Solving by substitution: The first equation can be rearranged to . Substituting for in the second equation gives or or . This equation is true no matter what is.

Solving by elimination: If we multiply the first equation by 4, rearrange the second equation to , and then subtract the second equation from the first, the result is . Subtracting from each side gives , which is true regardless of what or is.

Reasoning about equivalent equations: If we rearrange the second equation so that the variables are on the same side , we can see that this equation is a multiple of the first and are equivalent. This means they have the exact same solution set, which contains infinite possible pairs of and .

Identify students using different strategies and ask them to share their thinking with the class later.

Making graphing technology available gives students an opportunity to choose appropriate tools strategically (MP5).

Step-by-step explanation:

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3 years ago
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3 years ago
2х + y = 20<br> 6x — 5y = 12<br> How do i solve this? This is Systems of equations: Substitution
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6 0
3 years ago
Cheryl painted her living room walls with two different colors. She painted part of the room yellow and another part green. If t
kramer

Answer:

Total percent of the room did she paint green = 60%

Step-by-step explanation:

Given - Cheryl painted her living room walls with two different colors. She painted part of the room yellow and another part green. If the surface area of the walls in her room is 720 ft² and she painted 288 ft² yellow.

To find - What percent of the room did she paint green ?

Proof -

Given that,

The surface area of the walls in her room = 720 ft²

Total area painted in yellow color = 288 ft²

So,

Total area painted in green color would be = 720 - 288 = 432 ft²

Now,

Let the total percent green color painted = x

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∴ we get

Total percent of the room did she paint green = 60%

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Answer:

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Step-by-step explanation:

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