Answer:
A. 38
Step-by-step explanation:
Let d = number of dimes.
Let n = number of nickels.
First equation:
There are twice as many dimes as nickels. The number of dimes is 2 times the number of nickels. The first equation is:
<em>d = 2n</em>
Second equation:
The value of a dime is $0.10. The value of a nickel is $0.05. The value of d number of dimes is 0.1d. The value of n number of nickels is 0.05n. The total value of d dimes and n nickels is 0.1d + 0.05n. We are told the total value of her dimes and nickels is $4.75. That gives us the second equation:
<em>0.1d + 0.05n = 4.75</em>
We have two equations and two unknowns, so we can answer this question by solving a system of two equations in two unknowns.
d = 2n
0.1d + 0.05n = 4.75
We will use the substitution method.
Since d = 2n, replace d in the second equation with 2n.
0.1(2n) + 0.05n = 4.75
0.2n + 0.05n = 4.75
0.25n = 4.75
n = 4.75/0.25
n = 19
Now that we know the number of nickels, we use the equation d = 2n to find the number of dimes.
d = 2n
d = 2 * 19
d = 38
Answer: Debra had 38 dimes.
Answer:
Is this Pizza hut or Papa Johns
Step-by-step explanation:
The coordinates of B' are 3 and -12. so option D is correct (3, -12)
<h3>How to find the coordinates of B'?</h3>
The point P(x, y) may undergo translation to form P' by using a defined translation rule :
If given the rule T(a, b) synch that P undergoes translation on T; then we will have P'(x+a; y+b)
Therefore,
The point B has its coordinates as B(1, - 5)
Translation rule, T(2, - 7) then the coordination of B after undergoing transformation according to T2;
B(1, - 5) - - - > T(2, - 7) - - - - > B'(1+2 ; - 5+-7)
= B'(3, -12)
Hence, the coordinates of B' are 3 and -12. so option D is correct.
Learn more about the concept :
brainly.com/question/12463306
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