a muffin recipe calls for two fifths table spoon of vanilla extract for six muffins. aurthor is making 18 muffins. how much vanilla extract does he need?

Answers

Answer 1

Answer: 1.2
2/5=6 muffins
?/?=18 muffins

18/6=3 times as many muffins
so you need 3 times as much vanilla extract.

2/5 x 3= 1.2

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The manager of a company recorded the number of hourse his employees worked during each two weeks. The following statistics were calculated.Week 1: the mean was 35 hourse with a standard deviation of 1.5 hours.

Week 2: The mean was 40 hourse with a standrad deviation of 2.0 hours.

The manager concluded that there was more variation in the number of hours worked for week 2 that for week 1. The manager's conclusion was-?

Answers

It may have been busy so more staff were needed for a longer period of time.

Triangle ABC below is reflected across the y-axis and then translated 1 unit right and 2 units down.a) Write the coordinates of the vertices of the image after reflection.
b) Write a rule for the translation. Use arrow notation.
c) Write the coordinates of the vertices of the new image after translation.

Answers

The correct answers are: A) A'(-1, 3); B'(-4, 5); C'(-3, 1); B) <1, -2>, C) A''(0, 1); B''(-3, 3); C''(-2, -1).

Explanation:
When you reflect an image across the y-axis, it negates the x-coordinate. This means all of the x-coordinates will become the opposite sign after the reflection.

Since the translation is 1 unit right, that is adding 1 to the x-coordinate; since it is 2 units down, that is subtracting 2 from the y-coordinate. Once we add 1 to each x-coordinate and subtract 2 from each y-coordinate, we end up with the vertices listed above.

The coordinates of the vertices of the new image after translation and reflection :

A''(0, 1); B''(-3, 3); C''(-2, -1).

Further explanation

A reflection is an example of a transformation

Reflection is the process of mirroring each point on the geometry of a certain line.

The original figure is called the pre-image and the final figure is called the image

The image will be congruent with the pre image and the distance from the image to the mirror axis is the same as the distance from the pre image to the mirror axis

• The equation of reflection across the y-axis

x '= -x

y '= y

can be written

$\large {\boxed {\bold {r_ {y-axis} A (x, y) \rightarrow A '(-x, y)}}$

While the transformation itself is the displacement of the object given a distance and direction (for example up or down)

So each point is moved in the same distance and direction

Can be formulated :

A(x,y)⇒ T(a,b) ⇒ A'(x+a,y+b)(T=translated)

Triangle ABC below is reflected across the y-axis and then translated 1 unit right and 2 units down.

So the stages

1. reflected across the y-axis first and then

2. translated 1 unit right and 2 units down.(T(a,b) ⇒a=1,b=-2)

reflected across the y-axis

Coordinate A(1,3),B(4,5),C(3,1)

reflected becomes :

A(1,3)⇒A'(-1,3)

B(4,5)⇒B'(-4,5)

C(3,1)⇒C'(-3,1)

translated (T(a,b) ⇒a=1,b=-2)

A'(-1,3) ⇒A''(-1+1,3-2)⇒A"(0,1)

B'(-4,5) ⇒B''(-4+1,5-2)⇒A"(-3,3)

C'(-3,1) ⇒ C"(-3+1,1-2)⇒C"(-2,-1)

Learn more

Transformation from function

brainly.com/question/10904859

the rule for the reflection

brainly.com/question/4210177

the transformation rule

brainly.com/question/12537916

Keywords: reflection.,translation, the coordinates

What is 4 2/10 - 2 8/10

Answers

Answer: 7/5 or 1 2/5

Step-by-step explanation:

Look at attachment

Answer:1.4

Step-by-step explanation: 4 2/10 - 2 8/10=1.4

Team one had twice as many workers as team two. The number of workers in team one is reduced by 5 and the number of workers in team two is reduced by 2. How many workers are there in each team now if there are 7 more workers in team one?