A) .10 d + .25 q = 7.75
B) d + q = 40
Multiplying B) by -.10
B) -.10d -.10q = -4.0
Then adding this to A)
A) .10 d + .25 q = 7.75
.15q = 3.75
Quarters = 25
Therefore, dimes = 15
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Double-Check
A) .10 d + .25 q = 7.75
A) .10 * 15 d + .25 * 25 = 7.75
A) 1.50 + 6.25 = 7.75
Correct!!
Answer:
Cavalier's principle can be used to find the volume of any solid.
Step-by-step explanation:
Cavalier's Principle:
- Cavalier introduced parallel planes and area to describe the relationship between solids.
- Cavalier stated if two solids have the same height and equal areas of the base everywhere along the height then the solids have the same volume.
- Suppose two regions are included between two parallel planes.
- If every plane parallel to these two planes intersects both regions in cross-sections of equal area, then the two regions have equal volumes.
- The formula for the volume of a prism is the area of the base times the height.
Given:
The figure of a construction.
To find:
The correct option that represents the given construction.
Solution:
In the given figure, the given angle is angle CAB.
The steps for the given figure are:
1. Draw a ray PQ.
2. Mark an arc BC on the given angle and mark the same arc on the line and the intersection of line and arc is point Q.
3. Set the compass of the length BA.
4. Put the compass on the point Q mark arc that intersect the first arc. The intersection of arcs is R.
5. Draw a ray PR.
These are the steps of construction to copy an angle.
Therefore, the correct option is A.
Answer:
$1605
Step-by-step explanation:
since 100% = 1, just <em>multiply</em> 1 <em>(100% aka given price)</em> and 0.07 <em>(7%) </em>by 1500:
1500(1.07)
<em>= 1605</em>
the computer with tax added would be $1605
Either X or Y is negative. One has to be
