Answer:
x = 2.5.
y = 5.
Step-by-step explanation:
As they are image and pre-image of a dilation they are similar triangles, so the corresponding sides are in the same ratio.
4/2 = 5/x
2 = 5/x
2x = 5
x = 2.5.
Also:
4/2 = (y + 1)/ 3
2 = (y + 1) / 3
y + 1 = 6
y = 5.
Let's identify what we are looking for in terms of variables. Sandwiches are s and coffee is c. Casey buys 3 sandwiches, which is represented then by 3s, and 5 cups of coffee, which is represented by 5c. Those all put together on one bill comes to 26. So Casey's equation for his purchases is 3s + 5c = 26. Eric buys 4 sandwiches, 4s, and 2 cups of coffee, 2c, and his total purchase was 23. Eric's equation for his purchases then is 4s + 2c = 23. In order to solve for c, the cost of a cup of coffee, we need to multiply both of those bolded equations by some factor to eliminate the s's. The coefficients on the s terms are 4 and 3. 4 and 3 both go into 12 evenly, so we will multiply the first bolded equation by 4 and the second one by -3 so the s terms cancel out. 4[3s + 5c = 26] means that 12s + 20c = 104. Multiplying the second bolded equation by -3: -3[4s + 2c = 23] means that -12s - 6c = -69. The s terms cancel because 12s - 12s = 0s. We are left with a system of equations that just contain one unknown now, which is c, what we are looking to solve for. 20c = 104 and -6c = -69. Adding those together by the method of elimination (which is what we've been doing all this time), 14c = 35. That means that c = 2.5 and a cup of coffee is $2.50. There you go!
2y = -6x + 42.....in y = mx + b form, the m stands for the slope
y = -6/2x + 42/2....reduce
y = -3x + 21.....so the slope is -3
no because pendas means parentheses multiplication division left to right addition subtraction left to right
Answer:
depends on what it is. like is it a dice or something you're pulling out of a bag.
