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kifflom [539]
3 years ago
9

A large railroad car is filled with 1745 gallons of milk. The car springs a leak in the bottom, and milk starts dripping out at

a rate of 204.84 mL/sec. If the train is traveling at a speed of 65.4 miles per hour, calculate how many miles it will travel before all the milk has drained out of the car.
Mathematics
1 answer:
jeka57 [31]3 years ago
7 0

Answer:

585.98 miles

Step-by-step explanation:

We need to convert 1745 gallons to mL.

We know 1 gallons = 3785.41 mL

So 1745 gallons = 1745 * 3785.41 = 6,605,540.45 mL

Leaks are at 204.84 mL/sec, so it will take:

6,605,540.45/204.84 = 32,247.32 seconds

In hours, that is:

32,247.32/(60*60) = 8.96 hours

Now, since train is travelling at 65.4 miles per hour, in 8.96 hours, train will approximately travel:

65.4 * 8.96 = 585.98 miles

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Answer:

The cross product property

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The cross product property also known as cross multiplication is a method in math that is most of the time used in solving problems involving ratios usually in a big X form across the equal sign between two ratios.

It is done by multiplying the numerator of the left ratio by the denominator of the right with an equal to the multiplication of the numerator of the right ratio by the denominator of the left.

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3 years ago
The population of a bacteria after x number of hours is modeled by the expression 1 , 000 ( 0 . 75 ) x . What is the rate of dec
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A. 25%

Step-by-step explanation:

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7 0
4 years ago
Read 2 more answers
Need help Soon as possible
netineya [11]

Answer:

D; D

Step-by-step explanation:

The common difference of the first sequence is 10, so the coefficient is 10. The first term minus the common difference is -8, so that is the constant

The common difference of the second sequence is 3, so the coefficient is 3. The first term minus the common difference is -9, so that is the constant.

7 0
3 years ago
ABCD diagonals intersect at E. If m∠BAC=4x+5 and m∠CAD=5x-14, then find m∠CAD.
Travka [436]

Answer: m∠CAD = 81°

Step-by-step explanation: <u>Diagonal</u> is a line that unites opposite sides.

ABCD is a prallelogram. One property of diagonal in a parallelogram is it separates the parallelogram in 2 congruent triangles.

The figure below shows ABCD with its diagonals.

Since diagonal divides a parallelogram in 2 congruent triangles, it means the internal angles are also congruent. So

m∠BAC = m∠CAD

4x + 5 = 5x - 14

x = 19

Then, m∠CAD is

m∠CAD = 5(19) - 14

m∠CAD = 81

The angle m∠CAD is 81°.

7 0
3 years ago
Are the lines described by the equations y=x+2 and x+y=6 intersecting, coinciding, or parallel? Explain
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<span>y = slope*x + y-intercept;
</span>We can rewrite our equation in a shorter form : y = mx + b;
y = x + 2 ; m1 = 2 and b1 = 2;
y = -x + 6; m2 = -1 and b2 = 6;
<span>Set the two equations for y equal to each other:
</span>x + 2 = -x + 6 ;
<span>Solve for x. This will be the x-coordinate for the point of intersection:
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x = 2;
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<span>The point of intersection for these two lines is (2 , 4).</span>

7 0
4 years ago
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