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Anna35 [415]
4 years ago
12

Answer the following question. Please show your work.

Mathematics
1 answer:
Alja [10]4 years ago
6 0

2x^2-3x+3x^2+4

we can combine the x^2

so,

2x^2+3x^2= 5x^2

there are no more like terms in this problem so, our answer is:

5x^2-3x+4

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The length of one side of a triangle is 2 feet less than three times the length of its second side. The length of the third side
seropon [69]

Answer:

  • 7 feet, 3 feet, 7.5 feet

Step-by-step explanation:

Let the sides be a, b and c.

<h3>Given</h3>

The length of one side of a triangle is 2 feet less than three times the length of its second side

  • a = 3b - 2

The length of the third side is 3/4 of the sum of the lengths of the first two sides:

  • c = (3/4)(a + b)

The perimeter of the triangle is 17.5 feet:

  • a + b + c = 17.5

<h3>Solution</h3>

Substitute a with b in the second equation:

  • c = (3/4)(3b - 2 + b) = (3/4)(4b - 2) = (3/4)(4b) - (3/4)(2) = 3b - 1.5

Now substitute a and c with b in the third equation and solve for b:

  • a + b + c = 17.5
  • 3b - 2 + b + 3b - 1.5 = 17.5
  • 7b - 3.5 = 17.5
  • 7b = 17.5 + 3.5
  • 7b = 21
  • b = 3

Find the value of a:

  • a = 3b - 2 = 3*3 - 2 = 9 - 2 = 7

Find the value of c:

  • c = 3b - 1.5 = 3*3 - 1.5 = 9 - 1.5 = 7.5

The sides of the triangle are:

  • a = 7 feet, b = 3 feet, c = 7.5 feet

8 0
2 years ago
Set 2 Maths has 30 pupils in it.
Ierofanga [76]
80/100 x 30 = 24 because you just multiply percents
4 0
3 years ago
Please Show the work
Svetradugi [14.3K]

the answer is a) because its the numerator is bigger than the denominator

8 0
3 years ago
The cost to rent a car is $25 plus an additional $0.15 for each mile the car is driven. Which of the following equations could b
kirill [66]

Answer:

25 + 0.15m = 71.8

Step-by-step explanation:

Given:

Fixed charge = $25

Additional charge for each mile = $0.15

Let number of miles driven be m.

Total Billed amount = $71.80

Now total bill amount is calculated by adding fixed charge with additional charge for each mile times number of miles.

Hence,

Total Billed amount  = Fixed charge + Additional charge for each mile × number of miles driven

25 + 0.15m = 71.8

Hence the equation is 25 + 0.15m = 71.8.

3 0
3 years ago
Which measurement is the best estimate of the area in square inches of the stove top that does not include the area of the burne
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I think D.)576 in.2
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3 years ago
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