18 less than the product of 5 and a number
2 answers:
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Answer:
Jennifer has 7 quarters
Step-by-step explanation:
<u><em>The correct question is</em></u>
Jennifer has $ 3.51 in change in her piggy bank. The change consists of 51 coins inducing pennies, nickels and quarters. If there are 3 times as many nickels as pennies, how many quarters does she have?
Remember that
Let
x ----> the number of pennies
y ---> the number of nickels
z ---> the number of quarters
we know that
-----> equation A
----> equation B
---> equation C
substitute equation C in equation A and equation B
-----> equation D
----> equation E
we have
-----> equation D
----> equation E
Solve the system of equations D and E by graphing
Remember that the solution is the intersection point both graphs
The solution is the point (11,7)
x=11,z=7
see the attached figure
Find the value of y
so
The number of pennies is 11
The number of nickels is 33
The number of quarters is 7
Answer:
1). x = 14
2). y = 2.4 cm
Step-by-step explanation:
In the diagram ΔNPQ ~ ΔNLM and NL = 3,
1). ∠P ≅ ∠L [All angles of similar triangle are equal in measure]
(3x + 18)° = 60°
3x = 60 - 18
x = 14
2). Since, both the triangles are similar, corresponding sides will be proportional.
y
y = 2.4 cm