Mathematics High School

Solve:
3x-5/2 +x+ 2x-3/3 = 5/6 - 3x/2​

Solve: 3x-5/2 +x+ 2x-3/3 = 5/6 - 3x/2

Answers

Answer 1

Answer:

x = 26/45

Step-by-step explanation:

Answer 2

Answer:

Given Question

Solve for x :

[tex]\rm :\longmapsto\:\dfrac{3x - 5}{2} + x + \dfrac{2x - 3}{3} = \dfrac{5}{6} - \dfrac{3x}{2} [/tex]

[tex] \green{\large\underline{\sf{Solution-}}}[/tex]

Given expression is

[tex]\rm :\longmapsto\:\dfrac{3x - 5}{2} + x + \dfrac{2x - 3}{3} = \dfrac{5}{6} - \dfrac{3x}{2} [/tex]

On taking LCM of (2 and 3 = 6) on LHS and Taking LCM of ( 2 and 6 = 6) on RHS, we get

[tex]\rm :\longmapsto\:\dfrac{3(3x - 5) + 6x + 2(2x - 3)}{6} = \dfrac{5 - 9x}{6}[/tex]

[tex]\rm :\longmapsto\:9x - 15 + 6x + 4x - 6 = 5 - 9x[/tex]

[tex]\rm :\longmapsto\:(9x + 6x + 4x) - 15 - 6 = 5 - 9x[/tex]

[tex]\rm :\longmapsto\:19x - 21 = 5 - 9x[/tex]

[tex]\rm :\longmapsto\:19x + 9x = 5 + 21[/tex]

[tex]\rm :\longmapsto\:28x = 26[/tex]

[tex]\rm :\longmapsto\:x = \dfrac{26}{28} [/tex]

[tex]\bf\implies \:x = \dfrac{13}{14} [/tex]

VERIFICATION

Consider LHS

[tex]\rm :\longmapsto\:\dfrac{3x - 5}{2} + x + \dfrac{2x - 3}{3}[/tex]

On substituting the value of x, we get

[tex]\rm \:  =  \: \dfrac{\dfrac{39}{14} - 5}{2} + \dfrac{13}{14} + \dfrac{\dfrac{13}{7} - 3}{3}[/tex]

[tex]\rm \:  =  \: \dfrac{39- 70}{28} + \dfrac{13}{14} + \dfrac{13 - 21}{21}[/tex]

[tex]\rm \:  =  \: \dfrac{ - 31}{28} + \dfrac{13}{14} - \dfrac{8}{21}[/tex]

[tex]\rm \:  =  \: \dfrac{ - 31 + 26}{28} - \dfrac{8}{21}[/tex]

[tex]\rm \:  =  \: \dfrac{ -5}{28} - \dfrac{8}{21}[/tex]

[tex]\rm \:  =  \: \dfrac{ -15 - 32}{84}[/tex]

[tex]\rm \:  =  \: - \: \dfrac{47}{84}[/tex]

Consider RHS

[tex]\rm :\longmapsto\: \dfrac{5}{6} - \dfrac{3x}{2} [/tex]

On substituting the value of x, we get

[tex] \rm \:  =  \: \dfrac{5}{6} - \dfrac{39}{28} [/tex]

[tex] \rm \:  =  \: \dfrac{70 - 117}{84}[/tex]

[tex] \rm \:  =  \: - \dfrac{47}{84}[/tex]

Hence, LHS = RHS

Hence, Verified.

Related Questions

Sine is positive in which of the following quadrants?
A. I and III
B. I and IV
C. T and II
D. II and III

Answers

Answer:

C. I and II

Step-by-step explanation:

In q1, all trig functions are positive. q2, sin and csc is positve. hope this helps!!

A biologist is studying the growth rate of a bacteria sample. The sample started with a bacterial count of 331. The chemist's data shows the count to be increasing by 6% every 2 hours. At that rate, approximately what is the bacterial count after 6 hours?
A. 418
B. 450
C. 394
D. 470

Answers

A. 418


Step by step:

Expand to write an equivalent expression: -14(-8x+12y)
Factor to write an equivalent expression: 36a−16

Answers

Answer:

an equivalent expression: -14(-8x+12y)=112x-168y

factor of an equivalent expression: 36a−16=4(9a-4)

slope of (-2,6) (-5,-4)

Answers

Answer:

10/3

Step-by-step explanation:

(-2, 6) & (-5, -4)

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-4 - 6) / (-5 - (-2))

Simplify the parentheses.

= (-4 - 6) / (-5 + 2)

= - 10 / -3

Simplify the fraction.

-10/-3

= 10/3

This is your slope.

Hope this helps!

Answer:

- 1/2

Step-by-step explanation:

Can some smart person help me out here!!!

Answers

Answer:

the answer is C I'm studying this right now

I WILL MARK BRAINLIST
At the beginning of the day the temperature was -17°C. At noon the thermometer read -2°C. What is
the total change in degrees Celsius?

Answers

Okay so to get this answer u have too Take 17 and subtract 2 This equals 15, So the answer would be 15, This is how I get my answers at least

7b-3<11
Is anyone know the answer

Answers

Answer:

b < 2

Step-by-step explanation:

7b - 3 < 11

add 3

7b < 14

divide

b < 2

Answer:b<2

Step-by-step explanation:

Pierson bought a stuffed bear priced at $29.95 and paid 8.5% sales tax.
What was the total cost of her purchase?

Answers

Answer:

the total cost is 32.50 or 32.49575

Step-by-step explanation:

Answer:

he payed $32.50 for the stuffed bear

Step-by-step explanation:

multiple 29.95 by.085 and then add the number you get to the original

А
E E
С
D
B
If mZACD = 100°, then mZACE = [?]°

Answers

Answer:

80 degrees

Step-by-step explanation:

a line is always 180 degrees

one side of that line is 100

so, just subtract 100 from 180

you get 80

180 - 100 = 80

I need help on this I'm super confused.

Answers

Answer:

a) 7x-2

b) 28x-8

c) length of a side: 26 in, perimeter: 104 in, area: 676 square inches

i’m not quite sure abt c but i hope this helps :)

find value of X in cos(3x-30°)=sin(7x+50°)​

Answers

Answer:

7

Step-by-step explanation:

Given the expression

cos(3x-30°)=sin(7x+50°)

In trigonometry cosx = sin(90-x)

Hence

Cos(3x-30) = sin(90-(3x-30))

Cos (3x-30) = sin(90-3x+30)

Cos (3x-30) = sin(120-3x)

Substitute into the expression above

Sin(120-3x) = sin(7x+50)

120-3x = 7x+50

Collect like terms

-3x-7x = 50-120

-10x = -70.

x = 70/10

x = 7

Hence the value of x is 7

What is the sign of 37+(-37)

Answers

Answer:

0

Step-by-step explanation:

it is neither positive nor negative.

if it helps don't forget to like and mark me

Explain why that price seems to be a linear function of the number of boxes ordered?
Heeeeeelp

Answers

Answer:

Step-by-step explanation:

Because it's adding by a constant I'm pretty sure

At which value in the domain does f(x) = 0?
Ty
10
8+
6
4
2
-1
3
-10
--3

Answers

120 is the answer u neee to multy 7and 99

Lucy's dog lost 6 pound How much weight does her dog need to gain in order to a net change of 0 pounds? _pounds?

Answers

Answer:

I think 6 pound. Beacuse 6-6=0

Explain why this is not a polygon (10 points)

Answers

A polygon has straight sides these are curves.

given the f(x)=x+2 g(x)=3x²-1 what is (fg) (x)?

Answers

Answer:

(f·g)(x) = 3x² + 1

Step-by-step explanation:

Given:

f(x)=x+2,  g(x)=3x²-1

To find:

(f·g) (x) = ?

Solution:

(f·g)(x) = f(g(x)) = f(3x²-1) = (3x²-1) + 2 = 3x² + 1(f·g)(x) = 3x² + 1

If an item is discounted by 5 percent, and the final price is 57, what is the original price of the item?

Answers

Answer:

$59. 85  or rounding, $60   (I AM NOT COMPLETELY SURE)

Step-by-step explanation

I changed the percentage into a decimal (.05) and then multiplied it by the final price (57). After multiplying, I got, $2.85. I then added that to the final price to get, $59.85.

HELP ME PLEASE I'll give brainless.

Answers

Answer:

∠FGI=40°

Step-by-step explanation:

CE║FH ⇒ ∠CDG=∠FGI=40°

Find the volume

A. 150 cm3

B. 180 cm3

C. 90 cm3

D. 90 cm2

Answers

Answer:

268 in²

Step-by-step explanation:

The surface area is basically the entire area of the figure. You can do it multiple ways, but this is how I did it. I found the area of each side and added them all together. There are three sets of identical sides. First, we'll calculate the area of the side with lengths 10" and 8".

10 · 8 = 80

There are two of these sides, so currently we have 80 + 80.

Next, the area of the sides with lengths 8" and 3". These are the sides at the top and bottom.

8 · 3 = 24

So to our equation we now have 80 + 80 + 24 +24.

For the final two sides, we have the dimensions 10" and 3".

10 · 3 = 30

To our equation, we add this to get 80 + 80 + 24 + 24 + 30 +30.

Add all these numbers together for 268.

In the correct form, we add the square symbol to show that we are talking about area. The answer is 268 in². Good luck :D

if a cake recipe calls for 3 1/2 cups how many cups are needed for 5 recipes?

Answers

Answer:

17 1/2

Step-by-step explanation:

multiply 3 1/2 times 5.

Answer:

17.5

Step-by-step explanation:

3.5 x 5

A cereal company puts a colored ring in each box of cereal. There are 6 different ring colors. The colors of the rings in each of 50 cereal boxes are shown in the table below. Based on the data, what is the probability that the next cereal will contain a blue or yellow ring?

Answers

the probability is unlikely OR 2/6 OR 1/3. it could be any of those! hope this helped :))

A sculptor is planning to make two triangular prisms out of steel. The sculptor will use △ABC for the bases of one prism and △DEF for the bases of the other prism.

(a)Is △ABC similar to △DEF? Explain.
(b)Suppose the sculptor makes both prisms with the same height. Which prism will have a greater volume? How many times greater? SHOW YOUR WORK FOR BRAINLIEST!!

Answers

Answer:

a)

Verify is the corresponding sides have same ratio:

AB / DE = 50/60 = 5/6 BC / EF = 20/24 = 5/6

Since the ratios are same, the triangles are similar

b)

If one dimension is same, the base areas will make difference by the square of the scale factor:

(6/5)² = 1.44 times

Hi guys can you answer this question​

Answers

Answer:

160403.47

Step-by-step explanation:

Please mark as brainliest

7.32*600=4392

4392*0.56= 2459.52

2459.52*3= 7378.56

7378.56/3.45=2138.71

2138.71*75= 160403.47

Answer:

28.5161739131

hope this answer helps you.....


Find the volume to the nearest millimeter of a cylinder that is 45 millimeters tall and has a diameter of 26 millimeters. Use 3.14 for pie.

Answers

Answer:

Volume   =   π • r² • height

Volume   =   3.14 • 13² • 45

Volume = 23,879.7 cubic millimeters

Volume = 23,880 cubic millimeters (to nearest millimeter)

Step-by-step explanation:

(NO LINKS)!~Brainliest IF YOU CAN SIMPLIFY AND SOLVE FOR THE UNKNOWN~!(3 + 5)² + [8 - 11] + Z = 4(Z - 2)

Answers

Answer:

(3+5) = 8 times 8 = 64 64+(8-11)+Z=64+(-3) + Z=62+z= 62+2 = 64

64

Step-by-step explanation:

Help me please aahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answers

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just give the number plsthx

Answers

Answer:

69

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

because 100 minus 31 equals 69

Please help me? I am confused.​

Answers

ANSWER: A. x=4


Explanation: 7-2x=2x(x-4)-1

7-2x=2x-9

-2x-2x=-9-7

-4x=-16

which will get you your answer x=4

Need help ASAP pleaseeeeee

Answers

Answer:

If she downloaded 40 songs she would pay $36 per month.

If she downloaded s songs she would pay 0.75(s)+6 per month.

Step-by-step explanation:

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