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Mashcka [7]
3 years ago
15

The cost of 3 notebooks and 2 pencils is $5.10. At the same prices, the cost of 2 notebooks and 3 pencils is $4.65. What is the

total cost of a 1 notebook and 1 pencil ?

Mathematics
1 answer:
Pepsi [2]3 years ago
4 0

Answer:

$1.95

Step-by-step explanation:

notebook = n

pencil = p

3n + 2p = 5.10

2n + 3p = 4.65

multiply top equation by 2 and bottom by 3

6n + 4p = 10.20

6n +9p = 13.95

subtract bottom equation from the top equation

-5p = -3.75

divide by 5, negatives cancel out

p  = 0.75

sub p into either equation, I chose the original top equation

3n + 2(0.75) = 5.10

3n + 1.50 = 5.10

subtract 1.50 from both sides

3n = 3.60

divide both sides by 3

n = 1.20

p = 0.75

n + p = 1.95 (the fourth option)

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balandron [24]

Answer: (2x + 3) • (x-1)

Step-by-step explanation:

1 Pull out like factors :

4x + 6 = 2 • (2x + 3)

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

(5x - 5) = 5 • (x - 1)

5 0
2 years ago
Solve this systems of equation word problem. please
agasfer [191]
2b+h = 4.82
b+2h = 3.70
multiply the second equation by 2:
2b + 4h = 7.40
subtract the first equation from it:
3h = 2.58
h = 0.86
5 0
3 years ago
The population in the current year is 31.5 million and the real GDP is $814 million. The previous year's statistics were a popul
andrew11 [14]

Answer:

The change in the standard of living, measured by growth in real GDP per person, is 0.1356%

Step-by-step explanation:

Given,

In the current year,

Population = 31.5 million,

Real GDP = $814 million,

So, the real GDP per person = \frac{814}{31.5} ≈ 25.841

In the previous year,

Population = 31 million,

Real GDP = $800 million,

So, the real GDP per person = \frac{800}{31} ≈  25.806

Hence, change percentage = \frac{\text{Change in GDP per person}}{\text{Previous year GDP per person}}\times 100

=\frac{25.841-25.806}{25.806}\times 100

=\frac{0.035}{25.806}\times 100

=\frac{3.5}{25.806}

≈ 0.1356 %

5 0
3 years ago
#20 four times the sum of number. and 15 is a least20. Let X represent the number. :find ball possible values for X
gayaneshka [121]
For this case what we have to take into account is the following variable:
 x = represent the unknown number
 We now write the following inequality:
 "four times the sum of number and 15 is at least 20"
 4 (x + 15)> = 20
 We clear the value of x:
 (x + 15)> = 20/4
 (x + 15)> = 5
 x> = 5 - 15
 x> = - 10
 The solution set is:
 [-10, inf)
 Answer:
 
all possible values for X are:
 
[-10, inf)
6 0
3 years ago
Identify the axis of symmetry and vertex of f(x) = –2x2 –2x–1.
Leya [2.2K]

<span>Given the quadratic equation: f(x) = -2x^2 - 2x - 1, the axis of symmetry can be obtained by finding the line that divides the function into two congruent or identical halves. Thus, it should pass through the vertex and is equal to the x-coordinate of the vertex. </span>

<span>Note that a quadratic equation in standard form: y = ax^2 + bx + c, has the vertex located at (h,k) where, h = -b/2a and k is determined by evaluating y at h. In this case, a = -2, b = -2, thus, h = -0.5, k = 0.5. Thus, the vertex is located at (-0.5, 0.5) and the axis of symmetry is at x = -0.5. </span>

4 0
3 years ago
Read 2 more answers
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