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katrin [286]
3 years ago
14

the sum of two numbers is 49.Twice the smaller number is 97 less than 3 times the larger number.What are the numbers. help mee I

'm on homework and its due soon
Mathematics
1 answer:
kondaur [170]3 years ago
7 0

Answer:

smaller number is 10

larger number is 39

Step-by-step explanation:

a = small number

b = larger number

a + b = 49

2a = 3b - 97

substitute 49-a into second equation for b

2a = 3(49-a) - 97

2a = 147 - 3a - 97

5a = 50

a = 10

b = 39

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3 years ago
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In a basketball game, a regular basket was worth 2 points and a long-distance basket was worth 3 points. if there were 45 basket
IgorLugansk [536]
Let
 x: number of regular basketball
 y: number of long-distance basket
 We have the following system of equations:
 2x + 3y = 96
 x + y = 45
 Solving the system we have
 y = 45-x
 2x + 3 (45-x) = 96
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3 0
4 years ago
The width of a rectangle is the length minus 2 units. the area of the rectangle is 35 units
Mariana [72]

Answer:

Length=7units\\\\Width=5units

Step-by-step explanation:

Width=(Length-2) units

W=(L-2) units

Area of the rectangle= 35 square units

Area = length* Width

35= L*(L-2)\\\\35=L^2-2L

Subtracting 35 both sides:

L^2-2L-35=0

Solving the quadratic equation for 'L' ;

Using factorization:

L^2+5L-7L-35=0

Taking common from the equation :

L(L+5)-7(L+5)=0\\\\(L+5)(L-7)=0\\\\L+5=0\\\\L=-5

OR

L-7=0\\\\L=7

The length cannot be negative, therefore Length(L)= 7

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8 0
3 years ago
Is the following relation a function?
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8 0
3 years ago
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Evaluate 4x² + 3x for x=6
Sloan [31]

Answer:

162

Step-by-step explanation:

Given algebraic expression:

  • 4x² + 3x

To:

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Solution:

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Simplify by plugging x = 6

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<em>We can conclude:</em>

By evaluating this expression by x = 6 , the answer will be 162.

3 0
2 years ago
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