Answer:
N=250
Step-by-step explanation:
"twice as many nickels as dimes" means N =2D [eq1]
"collection of nickels and dimes is worth $25" means
5N + 10D = 2500 [eq2]
(To avoid using decimal points, PLZ express everything in cents.)
Substitution (substitute N from eq1 into eq2]:
5(2D) + 10D = 2500
10D + 10D = 2500
20D = 2500
D = 125
N=2D [eq1 again]
N=2(125)
N=250
Check:
Is 5(250) + 10(125) = 2500 ?
1250 + 1250 = 2500 ?
2500 = 2500 ?yes
Answer:
(2,0), (0,3), (1 3/5)
Step-by-step explanation:
Answer:
Step-by-step explanation:
The given equation is in the form 
We have to evaluate the correct system of equations which can be used to find the roots of the equation.
We can find the root of the equation by plotting the graph of the equations. In order to graph, we can assume the left and right hand side of the given equation as two separate equations.
Therefore, we have
Now, we plot the graph of these two equations in the same coordinate plane. The intersection point (s) would be the roots of the given equation.
Hence, the system of equation that we can use to find the root of the given equation is
Last option is correct.
Answer:
a = -21 and b = 15
Step-by-step explanation:
It is given a matrix multiplication,
<u>To find the value of a and b
</u>
It is given that,
| 6 -5 | * | -1 | = | a |
|-3 4 | | 3 | | b |
We can write,
a = (6 * -1) + (-5 * 3)
= -6 + -15
= -2
1
b = (-3 * -1) + (4 * 3)
= 3 + 12
= 215
Therefore the value of a = -21 and b = 15
Answer:
A. (3/5, 0).
Step-by-step explanation:
The x intercept occurs where y = 0, so we have:
5x + 7(0) = 3
5x = 3
x = 3/5 so the required point is (3/5, 0).
