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In-s [12.5K]
3 years ago
9

Lena paid $18.96 for 3 pounds of coffee. How many pounds of coffee could she buy for $1.00

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
6 0

Answer:

0.16 pounds

Step-by-step explanation:

Lena paid $18.96 for 3 pounds of coffee.

$1.00 will make (1x3)/18.96= 3/18.96 = 0.1582278481 pounds = 0.16 pounds

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The lines below are parallel. If the slope of the solid line is –3, what is the slope of the dashed line?
stepladder [879]

Answer:

-3

Step-by-step explanation:

parallel lines always have the same slope, the y-intercepts will differ

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3 years ago
Explain the steps to finding the vertex of g(x) = 3x2 + 12x + 15
RUDIKE [14]

Answer:

The vertex of this parabola, (-2, 3), can be found by completing the square.

Step-by-step explanation:

The goal is to express this parabola in its vertex form:

g(x) = a\, (x - h)^2 + k,

where a, h, and k are constants. Once these three constants were found, it can be concluded that the vertex of this parabola is at (h,\, k).

The vertex form can be expanded to obtain:

\begin{aligned}g(x)&= a\, (x - h)^2 + k \\ &= a\, \left(x^2 - 2\, x\, h + h^2\right) + k = a\, x^2 - 2\, a\, h\, x + \left(a\,h^2 + k\right)\end{aligned}.

Compare that expression with the given equation of this parabola. The constant term, the coefficient for x, and the coefficient for x^2 should all match accordingly. That is:

\left\lbrace\begin{aligned}& a = 3 \\ & -2\,a\, h = 12 \\& a\, h^2 + k = 15\end{aligned}\right..

The first equation implies that a is equal to 3. Hence, replace the "a\!" in the second equation with 3\! to eliminate \! a:

(-2\times 3)\, h = 12.

h = -2.

Similarly, replace the "a" and the "h" in the third equation with 3 and (-2), respectively:

3 \times (-2)^2 + k = 15.

k = 3.

Therefore, g(x) = 3\, x^2 + 12\, x + 15 would be equivalent to g(x) = 3\, (x - (-2))^2 + 3. The vertex of this parabola would thus be:

\begin{aligned}&(-2, \, 3)\\ &\phantom{(}\uparrow \phantom{,\,} \uparrow \phantom{)} \\ &\phantom{(}\; h \phantom{,\,} \;\;k\end{aligned}.

8 0
3 years ago
The sum of x and 25 is less than 75
Pavel [41]
I you're looking for the equation, it is 

x+25  \ \textless \  75

and If you need me to solve it, it is 

x \ \textless \  50
8 0
3 years ago
The length and the breadth of a rectangular piece of land are 500m and 300m respectively. Find it’s area
katrin [286]
Area of a rectangle = Length x Breadth
The required area = 500 x 300
= 150000 m^2
6 0
3 years ago
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2. Find the product (2x + 3)(3x - 2).
eimsori [14]

Answer:

6x² + 5x - 6

Step-by-step explanation:

Given

(2x + 3)(3x - 2)

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2x(3x - 2) + 3(3x - 2) ← distribute both parenthesis

= 6x² - 4x + 9x - 6 ← collect like terms

= 6x² + 5x - 6

6 0
3 years ago
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