10)The formula b=30a is used in New England to estimate the minimum furnace output, b, in BTU's for a modern house with a square feet of flooring.

A) determine the minimum furnace output for a 2100 ft squared modern house.
B) solve formula for a
Answer:a) 630,000
b) unsure how to calculate

24)Translate the phrase into an algebraic expression.

Justin had $36 dollars before spending d dollars on jeans. How much money remains?
The translation is $_____
Answer: how can that even be calculated? There is not enough info

25)7/(4.3)
Answer: 30.1

36)Simplify
32xy over 56x
Answer:? no clue

10A)

It appears to be b=30xa where a is 2100 ft^2 so I get 63000 BTUs (no apostrophe)

B) a=b/30

24) dollars left = 36-d

A) To determine the minimum furnace output for a 2100 ft squared modern house, we can use the given formula b = 30a.

Substitute the value of a, which is 2100, into the formula:
b = 30 * 2100

Multiply:
b = 63,000

So the minimum furnace output for a 2100 ft squared modern house is 63,000 BTUs.

B) To solve the formula b = 30a for a, we need to isolate the variable a.

Divide both sides of the equation by 30:
b/30 = a

So the formula, when solved for a, is a = b/30.

24) The phrase "Justin had $36 dollars before spending d dollars on jeans. How much money remains?" can be translated into an algebraic expression as follows:

Let x represent the amount of money remaining.

We start with $36 and then subtract the amount spent, d, on jeans:
x = 36 - d

25) To solve the expression 7/(4.3), divide 7 by 4.3:
7/(4.3) ≈ 1.6279

So the answer is approximately 1.6279.

36) To simplify the expression (32xy) / (56x), divide the numerator and denominator by the common factor of 8x:
(32xy) / (56x) = 4y / 7

So the simplified form of the expression is 4y/7.