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quester [9]
3 years ago
12

A landscaping company placed two orders with a nursery. The first order was for 13 shrubs and 4 trees and totaled 487. The secon

d order was for 6 scrubs and 2 trees,and totaled 232. The bills do not list the per-item price. What were the costs of one shrub of one tree?
Mathematics
1 answer:
AVprozaik [17]3 years ago
5 0

Answer:

Cost of shrubs = 23

Cost of tree = 47

Step-by-step explanation:

Let

Cost of shrubs = x

Cost of tree = y

13x + 4y = 487 (1)

6x + 2y = 232 (2)

Multiply (2) by 2

12x + 4y = 464 (3)

13x + 4y = 487 (1)

Subtract (3) from (1)

13x - 12x = 487 - 464

x = 23

Substitute x = 23 into (2)

6x + 2y = 232 (2)

6(23) + 2y = 232

138 + 2y = 232

2y = 232 - 138

2y = 94

y = 94/2

= 47

y = 47

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Degger [83]

Answer:

(0, -7)

Step-by-step explanation:

Since -4x is the slope, then -7 is the y-intercept.

For finding y intercept we substitute x=0

y = -7

The ordered pair would be

(0,-7)

hope this helps and is right. p.s. i really need brainliest :)

4 0
3 years ago
Which equation represents this statement? The product of 12 and 5 less than the number x is 45
deff fn [24]
12(x-5)=45 This is the answer I hope so
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The length plus the width of a rectangle is 10. Let x represent the length. The equation for the area y of the
yuradex [85]

Answer:

length of rectangle = 5

width of rectangle = 5

Area of rectangle = 25

Step-by-step explanation:

Since the length of the rectangle is "x", and the value of the area is given by the product of the length "x" times the width "10-x", indeed, the area "y" of the rectangle is given by the equation:

y=x\,(10-x)=10x-x^2

Now, they tell us that the area of the rectangle is such that coincides with the maximum (vertex) of the parabola this quadratic expression represents. So in order to find the dimensions of the rectangle and therefore its area, we find the x-coordinate for the vertex, and from it, the y-coordinate of the vertex, which is the rectangle's actual area.

Recall that the formula for the x of the vertex of a quadratic of the form :

y=ax^2+bx+c

is given by the formula:

x_{vertex}=-\frac{b}{2\,a}

which in our case gives:

x_{vertex}=-\frac{b}{2\,a}\\x_{vertex}=-\frac{10}{2\,(-1)}\\x_{vertex}=5

Therefore, the length of the rectangle is 5, and its width (10-x) is also 5.

The area of the rectangle is therefore the product of these two values: 5 * 5 = 25

Which should coincide with the value we obtain when we replace x by 5 in the area formula:

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8 0
3 years ago
PLZZZ HELP ME I WILL GIVE BRAINLY
Goryan [66]

Answer: x is for bouquets and y is for centerpieces.

Step-by-step explanation:

13x+4y=487

6x+2y=232

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2 years ago
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Which equation represents the line with slope 1/4 that passes through (-4, 8)?
RoseWind [281]

Answer

B DID THE TEST

Step-by-step explanation:

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3 years ago
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