An insurance company uses the formula T=3.5n + 5 to work out the cost, T pounds, for insuring a customer for n days. Work out th

Answer:

The price amounts to $9.70 per kilogram.

Step-by-step explanation:

This can be resolved using the rule of three.

In a rule of three scenario, the first step involves determining how the values are related, whether directly or inversely.

A direct relationship implies that when one measure increases, the corresponding measure also increases. In this case, cross multiplication serves as the method for the rule of three.

Alternatively, an inverse relationship indicates that an increase in one measurement causes a decrease in the other. In this scenario, line multiplication applies.

Here, the relationship is between the weight of the cheese and its cost. As the weight rises, so does the expense, representing a direct proportion.

Solution:

According to the problem, cheese is priced at $4.40 per pound. Given that each kg equals 2.2 pounds, we can deduce how many kg correspond to one pound.

1 pound - x kg

2.2 pounds - 1 kg

kg

Given that cheese costs $4.40 for a pound, and there are 0.45 kg in one pound, we calculate the cost for 1 kg.

$4.40 - 0.45 kg

$x - 1 kg

The price is $9.70 per kilogram.

Ten 63850
hundred 63800
thousand 64000
ten thousand 60,000

The measurement of arc DB equals 74.57°. Step-by-step explanation: To clarify the resolution method: A secant intersects a circle in precisely two points, while a tangent intersects at just one point. When a tangent and a secant intersect outside of a circle, the formed angle's measurement is precisely half of the positive difference between the measures of the intercepted arcs. Now, applying this to the issue where secant CE intersects circle A at points D and E, while tangent CB touches circle A at B, forming angle ECB. As such, m∠ECB = 1/2 (m arc EB - m arc DB). Given m arc EB as 96° and m arc DB given as 25x + 21, along with m∠ECB as 5x, we establish the equation 5x = 1/2[96 - (25x + 21)]. After rearranging and solving, we find x = 75/35, simplifying to 15/7. Next, substituting x back into the arc DB formula gives m arc DB = 25(15/7) + 21 = 522/7 yields approximately 74.57°.

Dawson's yearly premium totals $2,462.40. This figure is derived by moving from the "Male 40-44" category to the "20-year coverage" which indicates a rate of $13.68. Since this rate is applied per $1000 of coverage, multiply by 180 to arrive at $2,462.40. Rachel's deductions on her checks should be around $63.14.