ben went to the hardware store and bought 15 pieces of rope of equal length.The total length of the ropes was 326.7 meters.How l
1 answer:
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Answer:
The number of nickels is 45 and the number of dimes is 72.
Step-by-step explanation:
Let
x ----> number of nickels
y ----> number of dimes
Remember that
so
------> equation A
------> equation B
<em>Solve the system by substitution</em>
we have
------> equation A
------> equation B
Multiply both equations by 100 both sides
---->
--> equation C
----> equation D
substitute equation C in equation D
solve for y
Find the value of x
<em>Alternative Method</em>
Solve the system by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
the solution is the point (45,72)
therefore
The number of nickels is 45 and the number of dimes is 72.
Answer:
54.5 Sq. cm
Step-by-step explanation:
<em>area of a right angled triangle = 1/ 2 × base × height </em>
(here, the base is 8 and height is 6)
= 1/ 2 × 6 × 8
= 4 × 6
<u>= 24 Sq. cm</u>
<em>area of a circle</em> = r²
(r is the radius that is diameter/ 2, and the value of is 3. 14)
- r = 10/ 2 = 5 cm
= 3. 14.× (5)²
= 3.14 × 25
<u>= 78.5 Sq. cm</u>
area of the shaded region = area of Circle - area of triangle
= 78.5 - 24
<h3>= 54.5 Sq. cm</h3>that is option 3