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andrew-mc [135]
2 years ago
8

Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When car

rying 10 gallons of fuel, the airplane weighs 2064 pounds. When carrying 45 gallons of fuel, it weighs 2288 pounds. How much does the airplane weigh if it is carrying 60 gallons of fuel?
Mathematics
1 answer:
fenix001 [56]2 years ago
7 0

Answer:

Now, to answer the question, we need to add the weight of (58-42) = 16 gallons of fuel to the weight of the plane

carrying 42 gallons of fuel, 2331 pounds.

So, the answer is 2331 + 16*5.5 = 2419 pounds.

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2.) What value for c will make the expression a perfect square trinomial?
andre [41]

Answer : \frac{49}{4}

Given expression is x^2 - 7x + c

To make perfect square trinominal we use completing the square method

In completing the square method we add and subtract the half of square of coefficient of middle term

Here coefficient of middle term is -7

Half of -7 is \frac{-7}{2}

Square of \frac{-7}{2} is (\frac{-7}{2})^2 = \frac{49}{4}

So the expression becomes x^2 - 7x +  [tex] \frac{49}{4} that gives perfect square trinomial

Hence , the value of 'c' is \frac{49}{4}


6 0
3 years ago
Read 2 more answers
Y=1/2x +5<br> Y=-3/2x-7<br> Find x and y
gayaneshka [121]
I'm going to use the substitution method. 

If y = - 3/2 - 7, then:

1/2x + 5 = - 3/2x - 7

Combine like terms: 

4/2x = - 12. Mutiply both sides by 2/4 to get x = -12 (2/4)

Simplify to get:

x = - 6.

Plug - 6 back in for x in either equation.

Y = 1/2( - 6) + 5 which becomes Y = - 3 + 5.

X = - 6, Y = 2





8 0
3 years ago
-5t = -45 please help
gladu [14]

Answer:

t = 9

Step-by-step explanation:

8 0
3 years ago
Read the excerpt from Immigrant Kids, and then answer the question.
pogonyaev

Answer:

Its A

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A newly opened middle school’s enrollment is currently at 400 students. However, the school is implementing new programs and inc
uysha [10]

500

Step-by-step explanation:

400 x 1.25 = 500 or just 400x0.25 +400

4 0
2 years ago
Read 2 more answers
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