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3 years ago

5

Find the equation of the line that contains The given point and is perpendicular to the given line. Write the equation in slope

intercept form, if possible. (21,7); 7x-5y=6

1 answer:

mixer [17]3 years ago

8 0

Answer:

an = 63(-1/3)^(n-1)

Step-by-step explanation:

This is a geometric sequence with first term 63 and common ratio -1/3.

The equation for the nth term is

an = 63(-1/3)^(n-1).

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Two trains, Train A and Train B, weigh a total of 489 tons. Train A is heavier than Train B. The difference of their weights i

makvit [3.9K]

Answer:

Weight of Train A = 454 tons

Weight of Train B = 35 tons

Step-by-step explanation:

It is given that:

Let,

A represent weight of Train A

B represent weight of Train B

According to given information:

A + B = 489 Eqn 1

A - B = 419 Eqn 2

Adding Eqn 1 and 2

A + B + A - B = 489 + 419

2A = 908

Dividing both sides by 2

$\frac{2A}{2}=\frac{908}{2}\\A = 454$

Putting A = 454 in Eqn 1

454 + B = 489

B = 489 - 454

B = 35

Therefore,

Weight of Train A = 454 tons

Weight of Train B = 35 tons

5 0

3 years ago

A farmer wants to fence in a rectangular field that encloses 3600 square feet. One side of the field is along a river and does n

andriy [413]

Answer:

C(x) = $\$3.50(\frac{x^2+7200}{x})$

Step-by-step explanation:

Data provided in the question:

Area of the field = 3600 square feet

Fencing charges = $3.50 per foot

Let the side along the river be 'x' feet and the other side of the 'B'

now,

Area of rectangle = Bx = 3600 square feet

or

B = $\frac{3600}{x}$ feet

and total length to be fenced = x + 2B

therefore,

Total cost of fencing = Fencing charges × total length to be fenced

or

Total cost of fencing = $3.50 × ( x + 2B )

substituting the value of B from (1)

Total cost of fencing, C(x) = $\$3.50(x+2\times\frac{3600}{x})$

or

C(x) = $\$3.50(\frac{x^2+7200}{x})$

4 0

3 years ago

You purchase 2 action figures per week. You have 48 action figures, which is 75% of the total number of action figures you need

balandron [24]

Answer:

64

Step-by-step explanation: In order to find the amount of action figures needed to complete your collection, you divide 48 by 75%. This gives us 64. The reason we divide, is because of inverse operations. If we are going to find 75% of 48, you would multiply 48 by .75. Since this is the opposite, we must divide it.

Also, I'm not quite sure what the question is requesting by asking for what 2 represents. What is the specific skill you are learning in class? Maybe that'll help us figure it out.

I hope this makes since. Let me know if you need further explanation.

6 0

3 years ago

Abbie, Beth, Carl, Diego, and Elena are waiting in line. Use the following information to figure out which of the five is first

zlopas [31]

Abbie is not next to Elena or Carl

5 0

3 years ago

Find the complete factorization of the expression. 15xz + 21yz

ss7ja [257]

The answer would be 3z(5x + 7y)

8 0

3 years ago

Read 2 more answers