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fiasKO [112]
4 years ago
15

I need help with this math problem please

Mathematics
1 answer:
Sindrei [870]4 years ago
6 0

Answer:

  • 65 -3x = 55 -2.5x
  • 20 periods
  • $5

Step-by-step explanation:

The value of the first card starts at $65 and decreases by $3 for each of x periods. Its value is ...

  65 -3x

The value of the second card starts at $55 and decreases by $2.50 for each of x periods. Its value is ...

  55 -2.5x

The equation that can be used to find x that makes the values equal is ...

  65 -3x = 55 -2.5x

__

The solution can be found by adding 3x-55 to both sides of this equation.

  10 = 0.5x

Multiplying by 2 gives ...

  20 = x

After 20 30-day periods. the cards will have the same value.

__

The value after 20 periods is ...

  65 -3×20 = 65 -60 = 5

Both cards will have a value of $5 when they have the same value.

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A farmer wishes to fence a rectangular area behind his barn. The barn forms one end of the rectangle and the length of the recta
Semenov [28]
1. The formula for calculate the perimeter of a rectangle, is:

 P=2L+2W

 P is the perimeter of the rectangle (P=320 feet).
 L is the lenght of the rectangle.
 W is the width of the rectangle.
<span>
 2. The problem says that the length of the rectangle is three times the width, so you have:
</span>
 L=3W

 3. When you substitute L=3W and P=320, into P=2L+2W, you obtain:

 P=2L+2W
 320=2(3W)+2W
 320=6W+2W
 8W=320
 W=320/8
 W=40 feet

 4. The barn forms one end of the rectangle. Therefore the linear feet of fence (x) is:

 x=P-W
 x=320 feet-40 feet
 x=280 feet
<span>
 How many linear feet of fence must he buy?
</span>
 The answer is: 280 feet
5 0
3 years ago
What is the shortest time it takes to collect a container of water
Alisiya [41]
Around 35-45 minutes, but it depends on the size of the container.
8 0
3 years ago
Brian bought two DVDs , one priced at $ 5.56 and the other at $ 11.00 .Sales tax on his purchase was 7 % .How much change should
Taya2010 [7]
If you have an iPhone which I do you can use it’s provided calculator ...I added 11.00 and 5.56 together and I ended up with 16.56 and there’s a % button on it and it does calculations for you.. so I added 7% to the order and it spit out $1.59 then I pressed add and it gave me $17.71 subtract 20.00-17.71 you get $2.29 which is your answer
6 0
3 years ago
The formula for the volume of a cylinder is v= 3.14r^2h. A cylinder has a volume of 300x feet ^3 and a radius of 5 feet
Fudgin [204]

Answer:

Height = 3.82

Step-by-step explanation:

(3.14)(5)²

(3.14)(25)

= 78.5

300 = 78.5h

300/78.5 = 78.5h/78.5

h = 3.821656051 or approximately 3.82

7 0
3 years ago
The lines graphed below are perpendicular. The slop of the red line is -1/3. What is the slope of the green line
Lynna [10]

Answer:

Option C. 3

Step-by-step explanation:

Let M1 be the slope of the red line

Let M2 be the slope of the green line

From the question:

Slope of red line (M1) = – 1/3

Slope of green line (M2) =.?

The slopes of perpendicular lines are related as follow:

M1 = –1 / M2

With the above formula, the slope of the green line (M2) can be obtained as illustrated below:

Slope of red line (M1) = – 1/3

Slope of green line (M2) =.?

M1 = –1 / M2

– 1/3 = –1 / M2

Cross multiply

– 1 × M2 = – 1 × 3

– 1 × M2 = – 3

Divide both side by –1

M2 = – 3/ –1

M2= 3

Therefore, the slope of the green line is 3.

6 0
3 years ago
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