Answer:
Step-by-step explanation:
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!
may i please get brainlyest She can make 42 identical packages which contains 2 chocolate chip cookies and 1 sugar cookies.
86 / 2 = 43 chocolate chips cookies
42 / 1 = 42 sugar cookies
Though the chocolate chip cookies can make 43 packs, the sugar cookies cannot fulfill the extra pack for it only has 42 pieces. That is why the maximum number of package that has identical content is 42 packages.
Answer:
128 cubes can fit in.
Step-by-step explanation:
We are given: Volume of rectangular prism = 2 units³ and Cube with edge = 1/4 unit
We must find: The number of cubes that can fill the prism
Firstly, find the volume of 1 cube:
Volume = 1/4 x 1/4 x 1/4
Volume = 1/64 units³
Next find the number of cubes that can go into the prism:
Number of cubes = 2 ÷ 1/64
Number of cubes = 128
Therefore 128 cubes can fit in.
Step-by-step explanation:
5(x+6x-3x)
(5+30-15)x
if you open the brackets, it will be 5x+30x-15x
105/32
3 and 9/32
or 3+9/32
or <span>3.28125</span>
