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dybincka [34]
3 years ago
14

Solve the formula x/4 + x/3 = 1

Mathematics
2 answers:
miskamm [114]3 years ago
4 0

Answer:

x = 12/7

Step-by-step explanation:

in order to solve this formula x/4 + x/3 = 1

<u>solutio</u>n

x/4 + x/3 = 1

the first step to do is to take lcm of the left hand side

[3(x) + 4(x)] /12 = 1

[4x +3x]/ 12 = 1

7x/12 = 1

cross multiply

7x/12 = 1

7x = 12 × 1

7x = 12

divide both sides by 7

7x/7 = 12/7

x = 12/7

DENIUS [597]3 years ago
4 0

Answer:

x = 12 / 7

x = 1 5/7

Step-by-step explanation:

To solve the given formula, we must make use of the concept of LOWEST COMMON MULTIPLE. (LCM)

The LCM of 4 and 3 is 12

Since the LCM of the denominator is 12, we Multiply through by 12

Therefore:

(12) * x / 4. (12) * x / 3. = 12 * 1

3x + 4x = 12

7x = 12

Divide through by 7 to make x the subject of the expression.

7x/7 = 12/7

x = 12 / 7

To simplify further, x = 1 5/7

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Factorise 4x³+8x guys plz​
Dennis_Churaev [7]

Answer:

4x (x²+2)

Hope that helps

3 0
3 years ago
Read 2 more answers
Match each of the parametric equations 1-5 with the curve it represents from the list A through E below. 1. r=3 2. r=2sinθ 3. θ=
ira [324]

Answer:

Step-by-step explanation:

1. r=3

To convert from polar coordinates (r,θ) to rectangular coordinates (x,y), we use the following equations

x=rCosθ

Cosθ=x/r

y=rSinθ

Sinθ=y/r

Also, r²=x²+y²

When r =3,

Then we have

r=3,

x²+y²=3

All points with r = 3 are at

distance 3 from the origin, so r = 3 describes the circle of radius 3, with center at the origin (0,0).

Option C

2. r=2sinθ

When r=2sinθ

To convert from polar coordinates (r,θ) to rectangular coordinates (x,y), we use the following equations

x=rCosθ

Cosθ=x/r

y=rSinθ

Sinθ=y/r

Also, r²=x²+y²

Now, apply the given information

r=2sinθ

Since Sinθ=y/r

r=2y/r

Cross multiply

r²=2y

x²+y²=2y

x²+y²-2y =0

x²+ (y-1)² -1 =0

x²+(y-1)²=1²

Then,

It is a circle with center (0,1) and radius 1.

Because the sine is periodic, we know that we will get the entire curve for values of θ in [0, 2π). As θ runs from 0 to π/2, r increases

from 0 to 2. Then as θ continues to π, r decreases again to 0. When θ runs from π to

2π, r is negative, and it is not hard to see that the first part of the curve is simply traced

out again, so in fact we get the whole curve for values of θ in [0, π). Thus, check attachment for curve, Now, this suggests that the curve could possibly be a circle,

and if it is, it would have to be the circle x² + (y − 1)² = 1. Having made this guess, we can easily check it. First we substitute for x and y to get (r cos θ)² + (r sin θ − 1)² = 1;

expanding and simplifying does indeed turn this into r = 2 sin θ.

Option E

A circle of radius 1 with center on the x-axis

3. θ=π/4

This is a point on the circle

p=(r, θ)

So, r=0

x = rCosπ/4=rCos45

x=r√2 /2

and

y = rsin(π/4) = rSin45

y=r√2 /2

This makes it very

easy to convert equations from rectangular to polar coordinates.

x²+y²= (r√2/2)²+(r√2/2)²

x²+y²= 2r²/4 + 2r²/4

x²+y²= r²

Since r=0

x²+y²= 0

x²=y²

Therefore, x=y

Option D

The straight line y=x

4. r=4θ

Here the distance from the origin

exactly matches the angle, so a bit of thought makes it clear that when θ ≥ 0 we get the spiral of Archimedes ( check attachment ) When θ < 0, r is also negative, and so the full graph is the right hand picture in the figure. Check attachment

The correct option is B

None of the above

5. r=2Cosθ

To convert from polar coordinates (r,θ) to rectangular coordinates (x,y), we use the following equations

x=rCosθ

Cosθ=x/r

y=rSinθ

Sinθ=y/r

Also, r²=x²+y²

Now, apply the given information

r=2cosθ

Since cosθ=x/r

r=2x/r

Cross multiply

r²=2x

x²+y²=2x

x²+y²-2x=0

(x-1)² + y² -1 =0

(x-1)² + y² = 1²

Then,

It is a circle with center (1,0) and radius 1.

A circle of radius 1 with center on the y-axis

Option A is correct

7 0
3 years ago
The zoo has 218 animals in the outdoor exhibits and 454 animals in the indoor exhibits. Estimate how many animals the zoo has by
adoni [48]

Answer:

670 animals

Step-by-step explanation:

First, round both numbers to the nearest ten. Remember that the numbers 4 and under round down (e.g. 143 = 140) and the numbers 5 and above round up (e.g. 145 = 150).

218 = rounds up = 220

454 = rounds down = 450

Finally, add the rounded numbers together.

220 + 450 = 670

The zoo has approximately 670 animals.

5 0
3 years ago
The art teacher is buying new tables to go in the art room. Each table can seat 4 students. The art class has 30 students. How m
bezimeni [28]

Answer:

T = 7.5

Step-by-step explanation:

One table = 4 students

  ? table = 30 students

To get the answer we criss-cross

30 * 1 = 4T(amount of table)

4T = 30

T = 30/4

T = 7.5

There should be 8 tables but the last table has 2 people sitting on it rather than 4.

5 0
2 years ago
On an airplane,there are two seats on the left in each row and three on the right side.There are 90 seats on the right side of t
Oksana_A [137]

Answer:

A) 60

B) 150

Step-by-step explanation:

5 0
3 years ago
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