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
7)use cummutative law to find and equivalent expression
73+yz
answer: I don't even know where to start with this one
36)Simplify
32xy over 56x
Answer:? no clue
10) A) To determine the minimum furnace output for a 2100 ft squared modern house, we can substitute the value of a (area of the house) into the formula b = 30a. So, b = 30 * 2100 = 63,000 BTU's.
B) To solve the formula for a, we can rearrange the equation as follows:
b = 30a
Divide both sides of the equation by 30:
b/30 = a
Therefore, the formula for a is a = b/30.
24) The algebraic expression for the phrase "Justin had $36 dollars before spending d dollars on jeans. How much money remains?" would be: 36 - d.
25) Evaluating the expression 7 / 4.3, we get approximately 1.6279.
7 / 4.3 = 1.6279
7) The commutative law states that changing the order of addition or multiplication does not change the result.
For 73 + yz, as an example of using the commutative law, you can rewrite the expression as yz + 73.
36) To simplify the expression 32xy / 56x, you can cancel out common factors in the numerator and denominator:
32xy / 56x = (32/56) * (xy/x)
Simplifying further, we get:
32xy / 56x = (4/7) * y
Therefore, the simplified expression is (4/7) * y.
10) To determine the minimum furnace output for a 2100 ft squared modern house using the formula b=30a, you can substitute the value of a (which represents the square feet of flooring) into the formula and solve for b.
a) Given a = 2100 ft squared
b = 30 * 2100
b = 63,000 BTU's
So, the minimum furnace output for a 2100 ft squared modern house is 63,000 BTU's.
To solve the formula b=30a for a, you can rearrange the equation to isolate a:
b = 30a
Divide both sides by 30:
b/30 = a
Therefore, the formula 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:
Starting amount - Amount spent = Remaining amount
$36 - d = Remaining amount
So, the translation is $36 - d.
25) To solve the expression 7/(4.3), you simply divide 7 by 4.3:
7/(4.3) ≈ 1.6279
So, the answer is approximately 1.6279.
7) To use the commutative law to find an equivalent expression for 73+yz, you can rearrange the terms:
73 + yz = yz + 73
So, the equivalent expression using the commutative law is yz + 73.
36) To simplify the expression 32xy/56x, you can cancel out common factors:
32xy/56x = (32/56)(xy/x)
Reduce the fraction:
= (4/7)(y)
= 4y/7
So, the simplified expression is 4y/7.