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n200080
6 days ago
6

A person who had $1,000,000 gave $100 to charity. How much must a student who has $100 give to charity to give proportionally th

e same as the millionaire?
Mathematics
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Maia had 2064 more beads than Jenny. After Maia used 144 beads to make a necklace, she had 5 times as many beads as Jenny. A) ho
tester [12383]

Answer:

A) Maia had 1920 beads more.

B) Maia had 2544 beads at first.

Step-by-step analysis:

Let x denote the beads with Jenny and y for Maia.

The information provided states that Maia possesses 2064 beads more than Jenny, which can be represented mathematically as:

y=x+2064...(1)

Additionally, after Maia made a necklace with 144 beads, she had five times more beads than Jenny.

This can also be formulated as an equation:

y-144=5x...(2)

A) Since Maia had 2064 beads more than Jenny before using 144 beads, we calculate her final bead count by subtracting 144 from 2064.

\text{Number of beads Maia had more than Jenny in the end}=2064-144

\text{Number of beads Maia had more than Jenny in the end}=1920

Thus, Maia is left with 1920 beads more than Jenny.

B) To solve this system of linear equations, we will utilize the substitution method.

By inserting equation (1) into equation (2), we arrive at:

x+2064-144=5x

x+1920=5x

x-x+1920=5x-x

1920=4x

Now, let's divide our equation by 4.

\frac{1920}{4}=\frac{4x}{4}

480=x

Now, we'll substitute x=480 into equation (1) to isolate y.

y=480+2064

y=2544

Conclusively, Maia initially had 2544 beads.

3 0
2 months ago
Arlene is cutting square tiles along the diagonal to make pieces for a mosaic. What is an expression for the maximum diagonal le
zzz [12365]
Apply the Pythagorean theorem
x^2 + x^2 = 2x^2
sqrt(2x^2)=x sqrt(2)
3 0
2 months ago
casey bought sandwiches and a bag of chips. Each sandwich cost three times as much as bag of chips. She bought 5 sandwiches for
AnnZ [12381]

Answer:

4

Step-by-step explanation:

Each sandwich costs 6 dollars, while chips sell for 3 dollars. She purchased 5 sandwiches at 6 dollars each, amounting to 30 dollars (5*6=30). This leaves her with 12 dollars to use since her total expenditure was 42 dollars. Given that chips are 3 dollars each, with 12 dollars left, 4 bags could be bought (4 * 3 = 12).

3 0
2 months ago
Read 2 more answers
Gene starts from home and travels 3 miles north to the shopping mall. From the shopping mall, he travels 2 miles west to the lib
lawyer [12517]

Answer: The most significant angle created during his journey appears at the mall, between his house and the library.

Step-by-step explanation:

Hi, since this scenario forms a right triangle (refer to the attached image), the angle between his house and the library measures 90°.

For a right triangle, the total of its internal angles equals 180°, making the right angle (90°) the largest among them.

Thus, the angle at the mall, between his house and the library, is indeed the largest angle formed during his trip.

If you need further clarification or have questions, feel free to ask!

7 0
2 months ago
Read 2 more answers
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