Adams Manufacturing allocates overhead to production on the basis of direct labor costs. At the beginning of the year, Adams estimated total overhead of $396,000; materials of $410,000 and direct labor of $220,000. During the year Adams incurred $418,000 in materials costs, $413,200 in overhead costs and $224,000 in direct labor costs. Compute the predetermined overhead rate.

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Answer:

  -3

Step-by-step explanation:

The coefficients of the x-terms are (-3, -7). If you swap them, you have (-7, -3). Negating one of them will give you (7, -3) or (-7, 3). Either of these pairs of multipliers will work to eliminate the x-terms.

The problem statement tells us the multiplier of the first equation is 7, so the multiplier of the second equation needs to be -3.

Answer:

$5.50

Step-by-step explanation:

2.50+3.00=5.50

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Answer:

85 messages

Step-by-step explanation:

The system of equations for this is

35 + .10x

18 + .3x

where x = the number of text messages

Usually, you would use substitution or elimination to solve this problem. However, because the answer choices were given, you can just plug in the values.

When you plug in 85, or x = 85, you get 43.5 for both equations because

35 + .10(85) = 43.5     18 + .3(85) = 43.5

Therefore, the answer would be 85 messages becuase both plans will cost the same when you send 85 text messages!

:)

The equation −3x − y² = −1 is not a function because it violates the definition of a function where each input should have a unique output.

To determine whether the equation −3x − y² = −1 represents a function, we need to check if there is a unique output (y) for every input (x) or if there are multiple outputs for the same input. In other words, we need to ensure that each x-value maps to only one y-value.

First, let's rearrange the equation to isolate y²:

−3x − y² = −1

y² = 3x - 1

Now, it's evident that for a single value of x, there could be two possible values of y due to the square root. This means that for some values of x, there would be multiple outputs (y-values). Therefore, the equation −3x − y² = −1 is not a function because it violates the definition of a function where each input should have a unique output.

To know more about function click here :

brainly.com/question/32599830

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Answer:

No (not a function)

Step-by-step explanation:

Begin by isolating the y-term to find

−3x−y2−y2y2=−1=3x−1=−3x+1

For each value of x, we multiply it by −3, add 1, and then take the square root to get the y-value. For example, if x=−8, we have

y2y2y2y=5=−3x+1=−3(−8)+1=25ory=−5

We have that if x=−8, then y=5 or y=−5. In other words, a single value of x results in more than one value of y. Since some value of x corresponds to more than one value of y, the equation does not define a function.

Answer:

All Calendula College students enrolled in the spring.

Step-by-step explanation:

A researcher at Calendula College wishes to estimate the number of units earned by students during the spring semester at Calendula.

To do so, he randomly selects 100 student transcripts from among all Calendula College students enrolled in the spring and records the number of units each student earned in the spring term.