Answer:
A. 3.2307692308 batches of Muffins
B. 16 1/4 cups of flour
Step-by-step explanation:
Lauren is making muffins. Her muffin recipe calls for 3 1 −4 cups of flour. She has 10 1 −2 cups of flour.
A. Explain a method for determining the number of batches of the muffin recipe Lauren can make. Then use your method to find the number of batches she can make.
Her muffin recipe calls for 3 1 −4 cups of flour. She has 10 1 −2 cups of flour.
3 1/4 cups of flour = 1 batch of Muffin recipe
10 1/2 cups of flour = x
3 1/4 × x = 10 1/2 × 1
x = 10 1/2 ÷ 3 1/4
x = 21/2 ÷ 13/4
x = 21/2 × 4/13
x = 42/13
x = 3.2307692308 batches of Muffins
B. If Lauren plans to make 5 batches of the muffin recipe, use what you know about operating with rational numbers to predict the amount of flour she needs. Justify your prediction.
3 1/4 cups of flour = 1 batch of Muffin recipe
Hence,
1 batch = 3 1/4 cups of flour
5 batches = x
Cross Multiply
x = 5 × 3 1/4 cups of flour
x = 5 × 13/4
x = 65/4
x = 16 1/4 cups of flour
1st year= 18000 x 0.85 = 15300
2nd year= 15300 x 0.85 = 13005
3rd year= 13005 x 0.85= 11054.25
I hope this helps you
-3x+2y= -10
3x-2y=14
-3x+2y+3x-2y= -10+14
0+0= 6
0=6 false it's not inconsistent
Answer:
(1,0)
Step-by-step explanation:
reflection is flipping
flipping over Y would make -, to + or + to -
in this case -1,0 becomes 1,0
Answer:
Dots sold 152 t-shirts and 38 shorts sold.
Step-by-step explanation:
Let t = t-shirts and s = shorts.
We know that people bought 4 times as many t-shorts as shorts, which can be set to the equation t = 4s
Since t-shirts cost $2, shorts cost $4, and the total sales was $456, we can set the equation 2t +4s = 456
So our two equations are:
t = 4s
2t + 4s = 456
Substitute t from the 1st equation into the 2nd:
2(4s) + 4s = 456
8s + 4s = 456
12s = 456
s = 38
There were 38 shorts sold.
Since we have the number of shorts, we can plug that back into the 1st equation to find the number of t-shirts sold:
t = 4s
t = 4(38)
t = 152
There were 152 t-shirts sold.
