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Svetlanka [38]
2 years ago
7

Need help, please! (I used all my points.) marking brainiest if right! Hint: decimal form.

Mathematics
1 answer:
Troyanec [42]2 years ago
6 0

Answer:

length is 9.375 inches

Step-by-step explanation:

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape

so

new length is l then, 1/2 = l/18.75 = > l = 18.75/2 = 9.375

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You know that 44% of a number x is 99 you also know that 22% of a number y is 55 what are the values of x and y which number is
Tomtit [17]
44% of a number x is 99
44%=0.44
0.44×99= 43.56


22% of a number y is 55
22%=0.22
0.22×55=12.1



the greater number is 44% of a number is 99 so the value is 43.56
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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).

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✒✒✏✂✂✏✒✏✒✂✏✂✏✒✂✒✂✂✂✏✂✒✂✂✂✒✏✏✏✒✒✏✏

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