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Inessa [10]
3 years ago
7

A loaded pick-up truck travels 70 miles to deliver the load. For the trip back, the gas mileage is 20% better due to a lighter l

oad. Write an expression for the total gas used and simply.
Mathematics
1 answer:
dexar [7]3 years ago
3 0

Answer:

let me check the answer for you

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The price of grapes, g, is $2.19 per pound. The price of bananas, b, is $0.59 per pound. The price of pears, p, is $1.49 per pou
AlekseyPX
Part A.
Before you can write any sort of expression, you need to define variables. "grapes g" is not a definition, so the exercise seems meaningless as written. It seems the intent is to ...
  let g, b, p represent the numbers of pounds of grapes, bananas, and pears, respectively.

Then, the total cost of some weight of fruit is
  2.19g + 0.59b + 1.49p


Part B.
For g=3, b=3, p=2, the expression evaluates to
  2.19*3 +0.59*3 +1.49*2 = 11.32

The total cost of 3 pounds of grapes, 3 pounds of bananas, and 2 pounds of pears is ...
  $11.32
3 0
3 years ago
Solve the equation by factoring: x^2 - 5x = 14
daser333 [38]

Answer:

x=7,  x=  -2

Step-by-step explanation:

  1. Start by putting the whole equation to one side:  x2-5x=14 ---->               x2-5x-14=0
  2. Next, factor the equation:  x,x    -7,2 ----> (x-7)(x+2)=0
  3. Now, solve both equations: x-7=0....x=7   AND   x+2=0.....x=  -2
  4. Plug both in to make sure that they are correct....both are correct
7 0
3 years ago
At noon, ship A is 170 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing north at 20 km/h. How fast is
garik1379 [7]
Check the picture below.

now, keep in mind that ship B is going at 20kph, thus from noon to 4pm, is 4 hours, so it has travelled by then 20 * 4 or 80 kilometers, thus b = 80.

whilst the ship B is moving north, the distance "a" is not really changing, and thus is a constant, that matters because the derivative of a constant is 0.

\bf c^2=a^2+b^2\implies \stackrel{chain~rule}{2c\cfrac{dc}{dt}}=0+2b\cfrac{db}{dt}\implies \cfrac{dc}{dt}=\cfrac{b\frac{db}{dt}}{c}
\\\\\\
\begin{cases}
\frac{db}{dt}=20\\
c=10\sqrt{353}\\
b=80
\end{cases}\implies \cfrac{dc}{dt}=\cfrac{80\cdot 20}{10\sqrt{353}}\implies \cfrac{dc}{dt}=\cfrac{160}{\sqrt{353}}
\\\\\\
\textit{and rationalizing the denominator}\implies \cfrac{160\sqrt{353}}{353}

8 0
3 years ago
How are the expressions 8-15 and 8-(-15)?how are they different?
zmey [24]

8 - 15 means subtract the positive number 15 from 8.

8 - 15 = 8 + (-15) = -7

8 - (-15) means subtract the negative number -15 from 8.

Subtracting a negative number is the same as adding a positive number.

8 - (-15) = 8 + 15 = 23

8 - 15 = -7, and 8 - (-15) = 23. The expressions mean different operations and have different answers.

6 0
3 years ago
What is the point called when it's on the y axis and never ends
sineoko [7]
A segment? ????? Not so sure about that one
3 0
3 years ago
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