Multiply the numbers outside the square root together and the two square roots together to get a single term and simplify
A store donated cases of crayons to a day care center. Each case holds 24 boxes of crayons; each box holds 8 crayons. How many c
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The number of bottles the facility requires to sell when it breaks is given by
a system of two simultaneous equations.
- When the facility breaks even, it would have sold 7<u>7,579 bottles of apples juice</u>.
Reasons:
The cost to make a jar of applesauce or a bottle of apple juice = $0.68
Number of jars of applesauce to be sold foe every 2 bottles of apple juice = 3 jars
The selling price for a jar of applesauce = $2.20
Selling price for a bottle of apple juice = $3.15
Annual overhead cost excluding production cost = $368,500
Required: Number of bottles of apple juice sold by the facility when it breaks even annually.
Solution:
Let <em>J</em> represent the number of bottles of apple juice sold, and let <em>S</em> represent the number of jars of apple sauce, by excluding the production cost, we have;
(3.15 - 0.68)·J + (2.2 - 0.68)·S = 368,500
S : J = 3 : 2
Which gives;
Therefore;
Which gives;
The number of bottles of apple juice sold, J ≈ <u>77,579 bottles</u>
Learn more about simultaneous equations here:
Hey there!
Unless the smaller object was rotated 360° (in which case the rotation wouldn't have to be mentioned), you can see that all of the lines are still in the same place and that it wasn't rotated at all. This eliminated any answer option that mentions a rotation, which is A and C.
Also, if you count the units of one of the straight lines – for example, line AB and A'B' – you can see that the smaller object is four times smaller than the larger object. In the case of line AB and A'B', line AB is 8 units long and A'B' is 2 units long. This means that the scale factor is
.
Lastly, the smaller object was moved from its initial location, which would be in the center of the larger object if it wasn't moved after being scaled down.
The answer will be B, "a dilation with a scale factor of and then a translation."
Hope this helped you out! :-)
Unless the smaller object was rotated 360° (in which case the rotation wouldn't have to be mentioned), you can see that all of the lines are still in the same place and that it wasn't rotated at all. This eliminated any answer option that mentions a rotation, which is A and C.
Also, if you count the units of one of the straight lines – for example, line AB and A'B' – you can see that the smaller object is four times smaller than the larger object. In the case of line AB and A'B', line AB is 8 units long and A'B' is 2 units long. This means that the scale factor is
Lastly, the smaller object was moved from its initial location, which would be in the center of the larger object if it wasn't moved after being scaled down.
The answer will be B, "a dilation with a scale factor of
Hope this helped you out! :-)