Answer:
(a) x + 3(x + 4) = 5(x + 2) - 5
(b) youngest: 7 years old
middle: 9 years old
oldest: 11 years old
Step-by-step explanation:
(a)
We know that x is the youngest child's age. Since the sisters' ages are consecutive odd integers, we know that the ages differ by 2. So, the middle sister's age is x + 2 and the oldest sister's age is x + 4.
Our equation to model the sentence "the sum of the age of the youngest and three times the age of the oldest is five less than five times the middle sister's age" would be:
x + 3 * (x + 4) = 5 * (x + 2) - 5
x + 3(x + 4) = 5(x + 2) - 5
(b)
Now, we can just solve the equation above:
x + 3(x + 4) = 5(x + 2) - 5
x + 3x + 12 = 5x + 10 - 5
4x + 12 = 5x + 5
x = 12 - 5 = 7
So, the youngest sister is 7 years old.
That means the middle sister is 7 + 2 = 9 years old, and the oldest sister is 9 + 2 = 11 years old.
The ages, then, are:
youngest: 7 years old
middle: 9 years old
oldest: 11 years old
Answer: 225
<u>Step-by-step explanation:</u>
n₁ = 2(1) - 1
= 2 - 1
= 1
n₁₅ = 2(15) - 1
= 30 - 1
= 29
= 15 * 15
= 225
The slope of the line represents that the remainder of the goal decrease by 8 for each card sold.
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
The line passes through the point (1, 8) and (2, 16), hence:
The equation of the line is given by y =8x
Find out more about linear equation at: brainly.com/question/14323743
Find out more on linear equation at: brainly.com/question/14323743
Step-by-step explanation:
80,000,000x .4 = 32 million.
Answer: 6.00 + 3.60x
Step-by-step explanation:
Regular coffee= 2.00 each
Letters= 3.50 each
Samantha buys 3 regular coffees and x letters.
To get the total amount she spends at the coffee shop, we multiply each quantity bought by the price. Therefore, total amount will be:
= (2.00×3) + (3.50×x)
= 6.00 + 3.50x
The expression for the amount spent at the coffee shop is 6.00+3.50x
