Answer:
<em>5 ≤ 4x - 2.5</em>
Step-by-step explanation:
<u>Inequalities</u>
The expression "no greater than" can be better expressed as "less or equal than".
The expression 4 times a number, being x the unknown number can be written: 4x
Thus, the equivalent inequality of the sentence is:
5 ≤ 4x - 2.5
Complete Question
A dog weighs 2 pounds less than 3 times the weight of a cat. The dog weighs twenty two more pounds than the cat.
Write and solve an equation to find the weights of the cat and the dog.
Answer:
Weight of cat = x = 12 pounds
Weight of Dog = y = 34 pounds
Step-by-step explanation:
Let's represent:
Weight of cat = x
Weight of Dog = y
A dog weighs 2 pounds less than 3 times the weight of a cat.
y = 3x - 2........ Equation 1
The dog weighs twenty two more pounds than the cat
y = x + 22....... Equation 2
The equation is given as:
y = y
3x - 2 = x + 22
Collect like terms
3x - x = 22 + 2
2x = 24
x = 24/2
x = 12 pounds
Solving for y using any of the equations:
y = 3x - 2
y = 3 × 12 - 2
y = 36 - 2
y = 34 pounds
Therefore:
Weight of cat = x = 12 pounds
Weight of Dog = y = 34 pounds
Answer:
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the loan.
P represents the principal or amount taken as loan
R represents interest rate
T represents the duration of the loan in years.
1) From the information given,
P = cost of gym = $2200
R = 6%
T = 3 years
I = (2200 × 6 × 3)/100 = $395
The total amount that he would pay after 3 years is
2200 + 395 = $2596
If he decides to continue going to the gym, the total amount that the would pay in 3 years(3 × 12 = 36 is
80 × 36 = 2880
Therefore, paying for the gym would cost more. He should take the loan.
2) if she takes the loan, the interest would be
I = (18000 × 7.5 × 5)/100 = $6750
The total amount that she would pay back after 5 years is
6750 + 18000 = $24750
Since the value that would be added to her house is $25000, therefore, she should buy it.
Answer:
SA = 2400 cm²
Step-by-step explanation:
SA of a cube = S² x 6 (the number of its faces)
SA = 20² x 6
SA = 400 x 6
SA = 2400 cm²
