All categories

3 years ago

-8x+3=8x+27 I need help plz I’m trash at math

Mathematics

1 answer:

belka [17]3 years ago

3 0

Answer:

-1.5

Step-by-step explanation:

See steps below:

-8x+3=8x+27

-8x + 3 - 8x - 3 = 8x+ 27 - 8x - 3 ⇒ add -8x - 3 to both sides in order to collect like terms in the different sides of equation
-16x = 24 ⇒ simplified
x= 24/-16 ⇒ divide
x= - 1.5 ⇒ answer

You might be interested in

Two of the lights at the local stadium are flickering. They both just flickered at the same time.

Dahasolnce [82]

Answer:

Step-by-step explanation:

you have to find the LCM of 7 AND 8.

which is 56

6 0

3 years ago

A closed rectangle box with a volume of 16 3 ft is made from two kinds of materials. The top and bottom are made of material cos

sashaice [31]

Answer:

The dimensions of the box are;

2 feet, by 2 feet, by 4 feet

Step-by-step explanation:

The given parameters are;

The volume of the closed box = 16 ft³

The material with which the top is made = The material with which the bottom is made

The cost of the material with which the top and bottom is made = 10 cents/(ft.²)

The cost of the material with which the side is made = 5 cents/(ft.²)

Let 'x', 'y', and 'z' represent the length, width, and height of the material, we have;

x·y·z = 16...(1)

The total cost of the box = 2×10×x×y + 2×5×x×z + 2×5×y×z

∴ The total cost of the box = 20·x·y + 10·x·z + 10y·z...(2)

From equation (1)

z = 16/(x·y)

Therefore, we have;

20·x·y + 10·x·z + 10y·z. = 20·x·y + 10·x·16/(x·y) + 10y·16/(x·y)

20·x·y + 160/(y) + 160/(x)

Differentiating, we get;

f'(x) = 20·y - 160/x²

f'(y) = 20·x - 160/y²

20·y - 160/x² = 0

y = 8/x²

20·x - 160/y² = 0

x = 8/y²

∴ x = 8/(8/x²)² = x⁴/8

8 = x⁴/x = x³

x = ∛8 = 2

The length, x = 2 feet

y = 8/x² = 8/2² = 2

The width, y = 2 feet

z = 16/(x·y) = 16/(2 × 2) = 4

The height of the box, z = 4 feet

Therefore, the dimensions of the box are 2 feet, by 2 feet, by 4 feet.

5 0

3 years ago

Sove for x. Can you help me with this? Step by step please so I can understand :)

stepladder [879]

Answer:

x=8

Step-by-step explanation:

The side G-F is the same side as side Q-R so 2 times 8 is 16

and 16 - 4 is 12

so x=8

7 0

3 years ago

A small shelter for delicate plants is to be constructed of thin plastic material. It will have a square end and a rectangular t

Over [174]

Part A

The four plastic sides comprises of two equal squares of area $x^{2}$ each and two equal rectangles of area $xy$ each.

Given that the total area of the four plastic sides is to be $1200in^2$ , thus:

$2x^2+2xy=1200 \\ \\ \Rightarrow x^2+xy=600 \\ \\ \Rightarrow xy=600-x^2$

The volume of the figure is given by: Volume = Area of base x depth

$V=(xy)x=x(600-x^2)=600x-x^3$

Part B:

For maximum volume, the derivative of V with respect to x will equal 0.

$\frac{dV}{dx} =0 \\ \\ \Rightarrow600-3x^2=0 \\ \\ \Rightarrow3x^2=600 \\ \\ \Rightarrow x^2=200 \\ \\ \Rightarrow x=\pm \sqrt{200} =\pm14.14$

But dimensions has to be positive, thus the value of x which produces maximum volume is x = 14.14

Recall that

$xy=600-x \\ \\ \Rightarrow y= \frac{600}{x} -x \\ \\ = \frac{600}{14.14} -14.14 \\ \\ =42.43-14.14 \\ \\ =28.29$

Therefore, the dimensions that will maximize the volume of the shelter is x = 14.14 and y = 28.29

7 0

4 years ago

What time will it be in 30 min in Tampa FL

kkurt [141]

Answer:

7:24

Step-by-step explanation:

6:54 pm now (ET)

8 0

3 years ago

Read 2 more answers