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
Answer:
$25
Step-by-step explanation:
Cost = 30 x months + 25
Every month you will pay 30$
At 0 months when you sign up substitute m=0
Cost = 30x 0 +25 = 0 +25 =25
21.6 miles per gallon
Multiplied by 6.2 gallons
21.6 * 6.2 = 133.92
Cheryl can travel 133.92 (or about 134) miles on 6.2 gal. of gas.
Hope that helped!
Answer:
k = 3.
Step-by-step explanation:
If they are collinear the slope of AB = the slope of BC, so :-
(0- (-2)) / (2 - 0) = (k - 0) / (5 - 2)
2/2 = k/3
1 = k/3
k = 3.
Y=4x. y=mx+b m=slope b=y intercept m=4 because it goes up 4 over 1 and 4/1=4 b=0 because it started at 0, making the equation y=4x+0 or just y=4x
