Answer:
7/10 x 3/6 = 21/60
21/60 in its simpliest form = 7/20
Answer: Dilation is a transformation that proportionally reduces or enlarges a figure.
Step-by-step explanation:
- A dilation a transformation that changes the size of the shape by using scale factor in particular ways .
It stretches or shrinks the actual figure. It produces similar figures.
Since the corresponding sides of similar figures are in proportion.
⇒ It proportionally reduces or enlarges a figure.
Hence, A dilation is a transformation that proportionally reduces or enlarges a figure.
Answer:
Student B is correct
Student A failed to distribute -4 and -6 when opening the brackets in the first step
Step-by-step explanation:
The solution Student A gave was:
2x - 4(3x + 6) = -6(2x + 1) - 4
2x - 12x + 6 = -12x + 1 - 4
-10x + 6 = -12x - 3
2x = -9
x = -4 _1 2 ( -4 1/2)
The solution Student B gave was:
2x - 4(3x + 6) = -6(2x + 1) - 4
2x - 12x - 24 = -12x - 6 - 4
-10x - 24 = -12x - 10
2x = 14
x = 7
Student B is correct.
Explanation of the error:
Student A failed to distribute -4 and -6 when opening the brackets in the first step.
That is,
2x - 4(3x + 6) = -6(2x + 1) - 4
To open this bracket, we will distribute, -4 and -6 so that we get
2x (-4 × 3x) + (-4 × +6) = (-6×2x) + (-6 × +1) - 4
Then we will get
2x -12x -24 = -12x -6 -4
Adding the like terms
-10x - 24 = -12x - 10
Collecting like terms
-10x + 12x = -10 + 24
∴ 2x = 14
x = 14 / 2
Hence,
x = 7
A) The strata to be used in this survey by the employer is; <em><u>Type of Staff</u></em>
B) <em>Stratified Random Sampling</em> will be preferred because the opinions of <em><u>the staffs on the tipping policy</u></em> may be the same within each type but differ across the different <u><em>types of staffs.</em></u>
- A stratified random sampling is a type of sampling that divides a population into groups known as strata.
Now, from the question, we see that after adding a 20% to the cost of food and beverages, that the additional revenue will be distributed equally among the kitchen and server staffs.
This means the strata here will be the type of staff because the opinions of the staffs on the tipping policy may be the within each type but differ across both types of staffs.
Read more at; brainly.com/question/1954758
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