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Question56. Find the annual salary of the Governor of Tennessee if it's \$94,000 less than New York's \$179,000.
57. Determine the starting temperature if it dropped 21 degrees to reach -9°C.
58. If Rolling Hills Farm is 126 acres, find the total acres of Briarwood Farm, which is 4 times larger.

Studdy Solution

STEP 1

Assumptions for problem561. The annual salary of the Governor of New York is 179,000.TheannualsalaryoftheGovernorofTennesseeis179,000. The annual salary of the Governor of Tennessee is 94,000 less than that of the Governor of New York

STEP 2

We can write an equation to represent the relationship between the salaries of the two governors.
Salaryennessee=SalaryNewYork−$94,000Salary_{ennessee} = Salary_{NewYork} - \$94,000

STEP 3

Substitute the given value for the salary of the Governor of New York into the equation.
Salaryennessee=$179,000−$94,000Salary_{ennessee} = \$179,000 - \$94,000

STEP 4

Calculate the salary of the Governor of Tennessee.
Salaryennessee=$179,000−$94,000=$85,000Salary_{ennessee} = \$179,000 - \$94,000 = \$85,000The annual salary of the Governor of Tennessee in that year was $85,000.

STEP 5

Assumptions for problem571. The temperature dropped21 degrees over the course of the day2. The temperature at the end of the day was -9 degrees Celsius

STEP 6

We can write an equation to represent the change in temperature over the course of the day.
Temperaturestart=Temperatureend+21Temperature_{start} = Temperature_{end} +21

STEP 7

Substitute the given value for the end temperature into the equation.
Temperaturestart=−9∘C+21Temperature_{start} = -9^{\circ}C +21

STEP 8

Calculate the temperature at the beginning of the day.
Temperaturestart=−∘C+21=12∘CTemperature_{start} = -^{\circ}C +21 =12^{\circ}CThe temperature at the beginning of the day was12 degrees Celsius.

STEP 9

Assumptions for problem58. The Rolling Hills Farm is126 acres2. This is/4 the size of the Briarwood Farm

STEP 10

We can write an equation to represent the relationship between the sizes of the two farms.
SizeBriarwood=4×SizeRollingHillsSize_{Briarwood} =4 \times Size_{RollingHills}

STEP 11

Substitute the given value for the size of the Rolling Hills Farm into the equation.
SizeBriarwood=4×126 acresSize_{Briarwood} =4 \times126\, acres

STEP 12

Calculate the size of the Briarwood Farm.
SizeBriarwood=4×126 acres=504 acresSize_{Briarwood} =4 \times126\, acres =504\, acresThe Briarwood Farm is504 acres.

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