The architecture and design of the city was what they were impressed by. They said it may have been better than most European cities.
Answer:
21
Step-by-step explanation:
Let x represent the number of dimes and y represent the number of nickels. The total number of coins is 37; this gives us the equation
x+y = 37
Each dime is worth ten cents, or 0.10, and each nickel is worth five cents, or 0.05. The total amount of money is given by
0.10x+0.05y = 2.65
This gives us the system
![\left \{ {{x+y=37} \atop {0.10x+0.05y=2.65}} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7Bx%2By%3D37%7D%20%5Catop%20%7B0.10x%2B0.05y%3D2.65%7D%7D%20%5Cright.)
To solve this, we will use substitution. We will isolate x in the first equation:
x+y=37
Subtract y from each side:
x+y-y = 37-y
x = 37-y
Substitute this into the second equation:
0.10(37-y)+0.05y = 2.65
Using the distributive property,
0.10(37)-0.10(y)+0.05y = 2.65
3.70-0.10y+0.05y = 2.65
Combining like terms,
3.70-0.05y = 2.65
Subtract 3.70 from each side,
3.70-0.05y-3.70 = 2.65-3.70
-0.05y = -1.05
Divide both sides by -0.05:
-0.05y/-0.05 = -1.05/-0.05
y = 21
There were 21 nickels.
Answer: is B
Explanation: I’m guessing because that’s a black picture
Answer:
4x+3y=5
Step-by-step explanation:
Subtract
4
x
from both sides of the equation.
3y = 5− 4x
Divide each term by 3 and simplify.
y= −4x 3+53
Rewrite in slope-intercept form.
y
=
−
4
3
x
+
5
3
Answer:
C) the factory produces 25 chairs per hour
Step-by-step explanation:
Let's find the rate of change (slope):
![let:\\(x1,y1) =(2,50)\\(x2,y2)=(4,100)\\m=\frac{100-50}{4-2} =\frac{50}{2} =25 \\](https://tex.z-dn.net/?f=let%3A%5C%5C%28x1%2Cy1%29%20%3D%282%2C50%29%5C%5C%28x2%2Cy2%29%3D%284%2C100%29%5C%5Cm%3D%5Cfrac%7B100-50%7D%7B4-2%7D%20%3D%5Cfrac%7B50%7D%7B2%7D%20%3D25%20%5C%5C)