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xxTIMURxx [149]
2 years ago
6

a food company delivers its fruit in two types of boxes, large a small. A delivery of 7 large boxes and 9 small boxes has a tota

l weight of 273 kg. A delivery of five large boxes and 3 small boxes and a total of 141 kg how much does each type of box weigh
Mathematics
1 answer:
ivann1987 [24]2 years ago
5 0
Let L and S represent the weights of large and small boxes, respectively. The problem statement gives rise to two equations:
.. 7L +9S = 273
.. 5L +3S = 141

You can solve these equations various ways. Using "elimination", we can multiply the second equation by 3 and subtract the first equation.
.. 3(5L +3S) -(7L +9S) = 3(141) -(273)
.. 8L = 150
.. L = 150/8 = 18.75
Then we can substitute into either equation to find S. Let's use the second one.
.. 5*18.75 +3S = 141
.. S = (141 -93.75)/3 = 15.75

A large box weighs 18.75 kg; a small box weighs 15.75 kg.
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(9x²+24x-8)-(5x²+3x+10)
motikmotik

Answer:

4x^2 + 21x - 18

Step-by-step explanation:

(9x^2+24x-8)-(5x^2+3x+10)

9x^2+24x-8-5x^2-3x-10

9x^2 - 5x^2 = 4x^2

24x - 3x = 21x

-8 - 10 = -18

Answer: 4x^2 + 21x - 18

8 0
3 years ago
Which equation represents a nonlinear function? y=−85x+19.4 y = − − 8 5 x + 19.4 y=−12x2−7 y = − − 1 2 x 2 − − 7 y=x4+x y = x 4
Pavel [41]

Answer:

The answer is below.

Step-by-step explanation:

The options are not clear. I would solve a similar question.

A linear function is a function in the form:

y = mx + b;  where y and x are variables, m is the slope and b is the y intercept.

From the options:

a) x(y - 5) = 2

xy - 5x = 2.   Since the equation is not in the form of y = mx + b, hence it is not a linear function. It is a nonlinear function.

b) y - 2(x + 9) = 0

y - 2x - 18 = 0

y = 2x + 18. The equation is in the form of y = mx + b, hence it is a linear function.

c) 3y + 6(2 - x) = 5

3y + 12 - 6x = 5

3y = 6x - 7. The equation is in the form of y = mx + b, hence it is a linear function.

d) 2(y + x) = 0

2y + 2x = 0

2y = -2x. The equation is in the form of y = mx + b, hence it is a linear function.

4 0
2 years ago
The solid surface area is equal to the solid volume. Find the value of x? The measurements of the rectangular prism is 9 inches
Fudgin [204]

Answer:

x=7.2

Step-by-step explanation:

Let x represent height of the prism.

We know that volume of rectangular is equal to product of its height, width and length.

\text{Surface area of rectangular prism}=2(wl+lh+hw), where w, h and l represents width, length and height respectively.

We have been given that the surface area of rectangular prism is equal to the volume of the prism. So we can set an equation as:

lwh=2(wl+lh+hw)

We are also told that the measurements of the rectangular prism is 9 inches long and 4 inches wide. Upon substituting these values in above equation, we will get:

9\cdot 4\cdot x=2(4\cdot  9+9\cdot x+x\cdot 4)

Let us solve for x.

36x=2(36+9x+4x)  

36x=2(36+13x)

36x=2(36+13x)

36x=72+26x

36x-26x=72+26x-26x

10x=72

x=\frac{72}{10}\\\\x=7.2

Therefore, the value of x is 7.2 inches.

6 0
2 years ago
What is the difference between –4 and 6??
MatroZZZ [7]
The answer would be -10
6 0
3 years ago
How do i factor x^4+6x^2-7 completly?
liq [111]
The factoring can be done similarly to a quadratic equation thanks to x^4 being the square value of x^2.

<span>x^4 + 6x^2 - 7
x^4</span><span> - x^2</span> + 7x^2 - 7
(x^4 - x^2) + (<span>7x^2 - 7)
</span>x^2(x^2 - 1) + 7(<span>x^2 - 1)
</span>(x^2 + 7)(x^2 - 1)
<span>(x^2 + 7)(x - 1)(x + 1)
</span>
Factored completely we get: <span>(x^2 + 7)(x - 1)(x + 1)</span>
8 0
2 years ago
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