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stepladder
11 hours ago
10

If x = 3z and z=2y, then x=?

Mathematics
1 answer:
AnnZ [11.9K]11 hours ago
5 0
x = 6y. Step-by-step explanation: x = 3z and z=2y. By substituting the second equation into the first, we have x = 3 (2y), leading to x = 6y.
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Square T was translated by the rule (x + 2, y + 2) and then dilated from the origin by a scale factor of 3 to create square T″.
AnnZ [11925]

Answer: OPTION C.

Step-by-step explanation:

It is essential to consider the following:

Dilation:

  • A transformation where the image retains the same shape as the original but differs in size.
  • Dilation maintains the order of points.
  •  Measurements of angles remain unchanged.

Translation:

  • A transformation that keeps the image identical in size and shape to the original.
  • Translation preserves the ordering of points.
  • The angle measurements do not change.

Consequently, since Square T underwent translation followed by dilation to form Square T'', we conclude that the rationale explaining why they are similar is:

Translations and dilations maintain the order of points; thereby, the corresponding sides of squares T and T″ are proportional.

6 0
1 month ago
Read 2 more answers
Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling. Abha collected 178
Zina [11999]

Answer:

2x+178\geq 2000

Step-by-step explanation:

Let the number of cans collected by Shane be x.

Thus, the number of cans collected by Abha is x + 178.

Given that a minimum of 2000 cans is required to be collected.

Therefore, we have the inequality,[ [TAG_19]]

Total cans by Shane + Total cans by Abha ≥ 2000.

That is, x+(x+178)\geq 2000

Thus, the necessary inequality is 2x+178\geq 2000.

4 0
25 days ago
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Employee Number
Zina [11999]
The average years of employment is 14

with 73% having worked for at least 10 years.

To find the mean, add up the years of service and divide by the number of employees. The total years worked is 417, so the formula yields:

average years worked = 417/30 = 13.9, rounded to approximately 14 years.

To determine the percentage of employees with ten or more years, count those with 10 or more years and divide by the total employee count, converting the result into a percentage:

(10 years or over)/(total number) = 22/30 = 0.73 repeating, which approximates to 73%.

Using a spreadsheet tool can make this calculation simpler, as it can quickly compute the average and help tally how many employees have worked for 10 years or more.

3 0
3 days ago
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A store sold a case of scented candles for $17.85 that had been marked up 110%. What was the original price?
Zina [11999]
1.1x = 17.85 x ≈ 16.227272727272727... Rounded to $16.23
5 0
17 days ago
Read 2 more answers
Which statement is true about the polynomial 3j4k−2jk3+jk3−2j4k+jk3 after it has been fully simplified? in terms and degree
zzz [11851]

I just took this assessment and got it right; the answer is a term with a degree of 5. It’s option 4.

7 0
1 month ago
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