1. solve when a = 10
2(150 ÷ a)
2 x 15 = 30
2. solve the inequality
x ÷ 4

Question

1. solve when a = 10
2(150 ÷ a)
2 x 15 = 30
2. solve the inequality
x ÷ 4 < -18
3. rewrite as an equation.
seven times b equals sixty - three
4. jalyn buys 2 ½ dozen donuts for $8.00. how much did she pay per dozen?
5. mr. jones donates 1/5 of his paycheck to the animal shelter. half of that money goes to rescue puppies. how much of mr. jones paycheck helps rescue puppies?

Accepted Answer

### Question 1:
# Explanation:
## Step1: Substitute $ a = 10 $ into the expression
We have the expression $ 2(150 \div a) $. Substituting $ a = 10 $, we get $ 2(150 \div 10) $. First, calculate the division inside the parentheses: $ 150 \div 10 = 15 $.
## Step2: Multiply the result by 2
Now, multiply 2 by 15: $ 2 \times 15 = 30 $.
# Answer:
30

### Question 2:
# Explanation:
## Step1: Isolate $ x $
To solve the inequality $ x \div 4 < -18 $, we multiply both sides of the inequality by 4. When we multiply both sides of an inequality by a positive number, the direction of the inequality sign remains the same. So, $ x \div 4 \times 4 < -18 \times 4 $.
## Step2: Calculate the result
Simplifying both sides, we get $ x < -72 $.
# Answer:
$ x < -72 $

### Question 3:
# Explanation:
"Seven times $ b $" can be written as $ 7b $, and "equals sixty - three" means $ 7b = 63 $.
# Answer:
$ 7b = 63 $

### Question 4:
# Explanation:
## Step1: Let $ x $ be the cost per dozen
Jalyn buys $ 2\frac{1}{2}$ dozen donuts, which is $ \frac{5}{2}$ dozen, for $8.00. We can set up the equation $ \frac{5}{2}x = 8 $.
## Step2: Solve for $ x $
To solve for $ x $, we multiply both sides of the equation by the reciprocal of $ \frac{5}{2}$, which is $ \frac{2}{5}$. So, $ x = 8\times\frac{2}{5}=\frac{16}{5} = 3.2 $.
# Answer:
$3.20 per dozen

### Question 5:
# Explanation:
## Step1: Let $ P $ be Mr. Jones' paycheck
He donates $ \frac{1}{5}$ of his paycheck to the animal shelter, so the donation to the animal shelter is $ \frac{1}{5}P $.
## Step2: Find the amount for rescue puppies
Half of the donation to the animal shelter goes to rescue puppies. So we take half of $ \frac{1}{5}P $, which is $ \frac{1}{2}\times\frac{1}{5}P=\frac{1}{10}P $. This means that $ \frac{1}{10}$ of Mr. Jones' paycheck helps rescue puppies. If we assume his paycheck is $ P $, the amount is $ \frac{1}{10}P $. (If we consider the paycheck amount as a variable, the answer is in terms of $ P $. If we assume a specific value for $ P $, say $ P = 1 $ (in some unit), the amount is $ \frac{1}{10} $ of the paycheck. But since no specific amount for the paycheck is given, we express it as a fraction of the paycheck.)
# Answer:
$ \frac{1}{10}$ of his paycheck (or if we let the paycheck be $ P $, the amount is $ \frac{1}{10}P $)

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QUESTION IMAGE

Question

Explanation:

Question 1:

Step1: Substitute \( a = 10 \) into the expression

Step2: Multiply the result by 2

Step1: Isolate \( x \)

Step2: Calculate the result

Answer:

Question 2: