941 with a remainder of 5
The expression is r = 500 • 2, where “r” represents the rate.
Answer: - 49
Step-by-step explanation:
f(x) = -2x - 1
g(x) = 
- 1
fg(x) = f ( - 1) , we just put in the value of g(x) , the next thing is to substitute - 1 for the value of x in f(x) , that is
fg(x) = -2( - 1) - 1
fg(x) = -2 + 2 - 1
fg(x) = -2 + 1
Therefore : fg(-5) means we will substitute -5 for x in fg(x) , that is
fg(-5) = -2 (
+ 1
fg(-5) = -2(25) + 1
fg(-5) = -50 + 1
fg(-5) = -49
Answer: Keith can make 10 batches of cupcakes.
Step-by-step explanation:
To make cupcakes, he needs 1 3/10 cups of flour per batch of cupcakes. Converting 1 3/10 cups of flour into improper fraction, it becomes 13/10 cups of flour.
Let x represent the number of batches of cupcakes that Keith can make If Keith has 13 cups of flour, . Therefore,
13/10 cups of flour = 1 batch of cupcakes
13 cups of flour = x batch of cupcakes
Cross multiplying, it becomes
13/10 × x = 13 × 1
13x/10 = 13
13x = 13 × 10 = 130
x = 130/13 = 10
