Given:
The coordinates of point A are (7,4).
It is dilated from the origin by a scale factor r = 3.
To find:
The coordinates of A'.
Solution:
If a figure is dilated from the origin by a scale factor k, then
Here, the figure is dilated from the origin by a scale factor 3, so the rule of dilation is given by:
Using this rule, we get
Therefore, the coordinates of point A' are (21,12).
Let 
be the most the manager can pay the suppliers.
Then, we know from the information given in the question that the manager needs a 30% markup based on cost.
Therefore, the guiding equation will be:
because $10 is the most people will pay for a neck warmer.
Thus, the above equation will become:
Thus, the most a manager can pay the suppliers for neck warmers and still keep the selling price at $10 is $7.69
Answer:
what exspresion
Step-by-step explanation:
Steps:
1. Draw a long box
2. Draw a horizontal line down the center of the box
3. Draw three equal sections in the top half ; shade in 1 segment
4. Draw 6 equal sections in the bottom half; shade in 2
Answer:
60 minutes for the larger hose to fill the swimming pool by itself
Step-by-step explanation:
It is given that,
Working together, it takes two different sized hoses 20 minutes to fill a small swimming pool.
takes 30 minutes for the larger hose to fill the swimming pool by itself
Let x be the efficiency to fill the swimming pool by larger hose
and y be the efficiency to fill the swimming pool by larger hose
<u>To find LCM of 20 and 30</u>
LCM (20, 30) = 60
<u>To find the efficiency </u>
Let x be the efficiency to fill the swimming pool by larger hose
and y be the efficiency to fill the swimming pool by larger hose
x = 60/30 =2
x + y = 60 /20 = 3
Therefore efficiency of y = (x + y) - x =3 - 2 = 1
so, time taken to fill the swimming pool by small hose = 60/1 = 60 minutes
