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ollegr [7]
3 years ago
5

-5=3/4x-2 solve for x and please show your work!

Mathematics
1 answer:
Nookie1986 [14]3 years ago
3 0
-5 = \frac{3}{4} x - 2 equals x = -4.

First, simplify \frac{3}{4} x to \frac{3x}{4}. / Your problem should look like: -5 = \frac{3x}{4} - 2.
Second, multiply both sides by 4. / Your problem should look like: -20 = 3x -8.
Third, add 8 to both sides. / Your problem should look like: -20 + 8 = 3x.
Fourth, simplify -20 + 8 to -12. / Your problem should look like: -12 = 3x.
Fifth, divide both sides by 3. / Your problem should look like: - \frac{12}{3} = x.
Sixth, simplify \frac{12}{3} to 4. / Your problem should look like: -4 = x.
Seventh, switch sides. / Your problem should look like: x = -4, which is your answer. 

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If breadth of a cuboid is one-fourth of its length,height is 5cm and total surface area is 328 cm²,find the length and breadth o
velikii [3]

The length of cuboid is 16 cm and breadth of cuboid is 4 cm.

<h3>How to find the Surface Area of Cuboid?</h3>

A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (L), Breadth (B), and Height (H) of the cuboid and use the formula, SA=2 x ( LB + BH + HL ) , to find the surface area.

Here, We have given that height of the cuboid is 5cm.

Let length of the cuboid = X cm

so, the breadth of the cuboid = \frac{X}{4} cm

also, we have given that total surface area is 328 cm²

Now, put all the values in the formula of Surface Area (SA):

SA = 2 x ( LB + BH + HL )

SA = 2 x ( X²/4 + 5X/4 + 5X )

SA = 2 x ( ( X² + 5X + 20X) / 4 )

SA = ( X² + 5X + 20X ) / 2

X² + 5X + 20X = 328 x 2

X² + 25X = 656

X² + 25X - 656 = 0

using Quadratic Formula: see the attached figure for the formula.

here Discriminant D = b² - 4ac

D = 625 - 4(-656)

D = 3249

on putting value of D or b² - 4ac in the formula we get

X =  ( -25 + 57 ) / 2 and ( -25 - 57 ) /2

length can not be negative so we eliminate the second answer.

now, X = 16 cm

breadth = X /4 = 4 cm

Hence, The length of cuboid is 16 cm and breadth of cuboid is 4 cm.

Learn more about " Quadratic Formula " from here: brainly.com/question/2615966

#SPJ9

3 0
2 years ago
Help me please, brainliested ;)
jenyasd209 [6]

Answer:

put a dot on -5 on the y axis

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Let p=x^2+6
stepan [7]
That's a bit of a nasty. Where ever you see (x^2 + 6) you put in p.
p^2  - 21 = 4(x^2 + 6)
p^2 - 21 = 4p
p^2 - 4p - 21 = 0

A <<<< answer. 

8 0
3 years ago
The graph of f(x) shown below had the same shape as the graph of g(x)=x2 but is shifted up by 3 units
Amiraneli [1.4K]

If the graph has exactly the same shape, and just moved up 3 units,

the equation of this new graph is

f(x) = x² + 3

7 0
3 years ago
The volume of a gas is 550 mL at 960 mm Hg and 200.0 o C. What volume would the
kumpel [21]

Answer:

V_2 = \frac{P_1 V_1 T_2}{T_1 P_2}

And replacing the info we have:

V_2 = \frac{960 mm Hg * 550 mL *423.15 K}{473.15 K*830 mm Hg}=568.920 mL=0.5689 L

Step-by-step explanation:

For this case we wan assume that we have an ideal gas and we can use this relation:

\frac{P_1 V_1}{T_1} =\frac{P_2 V_2}{T_2}

And for this case we know:

P_1 = 960 mm Hg

T_1 = 200+273.15 K =473.15 K

Becuase K = C +273.15

V_1 =550 ml = 0.55L

Because 1L = 1000 mL

P_2 = 830 mm Hg

T_2 = 150+273.15 K= 423.15K

And if we solve for V2 we got:

V_2 = \frac{P_1 V_1 T_2}{T_1 P_2}

And replacing the info we have:

V_2 = \frac{960 mm Hg * 550 mL *423.15 K}{473.15 K*830 mm Hg}=568.920 mL=0.5689 L

4 0
3 years ago
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