Kate’s 85 on her English test was 37 points less than twice the grade on her Geometry test.

1 answer:

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If she had 85 on her English test, we subtract 37 from that to get 48, then we divide that in half since it less than twice the grade and get 24.

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In 2012, a health insurance plan for a 35-year-old and his or her spouse costs $301 per month. That rate increased to $430 p

katrin2010 [14]

Answer: See explanation

Step-by-step explanation:

Let the cost for insuring the applicant = a.

Let the cost for insuring the spouse = b

Let the cost for insuring the first child= c

Let the cost for insuring the second child = d

A 35-year-old health insurance plan and that of his or her spouse costs $301 per month. This means that:

a + b = $301.

That rate increased to $430 per month if a child were included. This means the cost of a child will be:

= $430 - $301

= $129

The rate increased to $538 per month if two children were included. This means the cost for the second child will be:

= $538 - $430

= $108

The rate dropped to $269 per month for just the applicant and one child. His will be the cost of the applicant and a single child. This can be written as:

a + $129 = $269

a = $269 - $129

a = $140

Since a + b = $301

$140 + b = $301

b = $301 - $140

b = $161

Applicant = $140

The spouse = $161

The first child = $129

The second child = $108

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