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N76 [4]
3 years ago
12

A regression equation is determined that describes the relationship between average January temperature (degrees Fahrenheit) and

geographic latitude, based on a random sample of cities in the United States. The equation is: Temperature = 110 ‑ 2(Latitude). How does the estimated temperature change when latitude is increased by one?
Mathematics
1 answer:
Musya8 [376]3 years ago
8 0

Answer:

Decreases by 2 degrees

Step-by-step explanation:

The expression that describes temperature as a function of latitude is:

T=110-2(Latitude)

This equation represents a linear relationship between latitude and temperature in a way that an increase in latitude causes a decrease in temperature. The magnitude of this decrease is quantified by the slope of the linear equation, which is -2. Therefore, the estimated temperature decreases by 2 degrees when latitude is increased by one.

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Serena brought a total of 135 notebooks and pencils for her students. Each notebook cost 1.75 and each pencil cost 0.35. The tot
natima [27]

Answer:

81 pencils

Step-by-step explanation:

1. Set up variables

Pencils = p

notebooks= n

2. Set up a system of equations

p+n= 135                             (The amount of supplies bought)

1.75n +0.35p = 122.85       (Equation for the cost)

3. Solve the system of equations (I'll use substitution)

    a)p= 135-n  (I just rearranged it)

    1.75n + 0.35p= 122.85

     b) Substitute the first equation into the second)

    1.75n + 0.35(135-n) = 122.85

     c) Solve!

    1.75n + 47.25 - 0.35n = 122.85

    1.4n = 75.6

     n= 54

Serena bought 54 notebooks!

4. Substitute the number of notebooks into the first equation

p +n = 135

p + 54= 135

p = 81

Serena bought 81 pencils!!!

I hope this helps!!!!

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3 years ago
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Gianna skied three times farther than Xavier. Xavier skied four miles. How far did Gianna ski?
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You could expect about 1,248 students to play at least 4 hours every week.

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3 years ago
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. Emma wanted to make an origami fish for each of her 22 classmates. She takes 30 minutes to make one fish. How long will Emma t
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Answer:

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Step-by-step explanation:

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Sidana [21]

Answer:

A. 30

Step-by-step explanation:

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130-100=30

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3 years ago
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