Solve the given equation for X.
X/3 + X/7 = 5/3

Answers

Answer 1
The answer is 7/2
In decimal form it’s 3.5
Answer 2

Answer: x = 3.5

Step-by-step explanation:

Given

x/3 + x/7 = 5/3

Determine the Least Common Multiple (LCM) of the denominators

First 10 multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30

First 5 multiples of 7: 7, 14, 21, 28, 35

Since 21 is the first overlapping term in both lists, therefore, 21 is the LCM of 3 and 7.

Multiply Least Common Multiple (LCM) of the denominators on both sides

21 (x/3 + x/7) = 21 × 5/3

Expand parentheses and apply the distributive property

7x + 3x = 35

Combine like terms

10x = 35

Divide 10 on both sides

10x / 10 = 35 / 10

[tex]\boxed {x=3.5}[/tex]

Hope this helps!! :)

Please let me know if you have any questions


Related Questions

Figure the amount of time worked in 4 weeks by 12 electrical wiring specialists who work 30 hours each week.​

Answers

Answer:

1440

Step-by-step explanation:

Let's say x = number of hours worked per week for 12 people. Now one worker works 30 hours a week so if you multiply 12 workers by 30 you will get how many hours 12 workers worked. so x = 12 • 30. 12 • 30 is 360. so x = 360 or for 1 week 12 workers worked 360 hours. now we need to find the amount of hours for 4 weeks. so we can do 4x or 4 times the amount of hours per one week. since x = 360. 4 • 360 = 1440.

factorisation
[tex] {x}^{3} - x[/tex]

Answers

Step-by-step explanation:

x³-x

by taking out common term, we get

x(x²-1)

Now, by using the formula of a²-b², we get

x(x²-1²)

x(x+1)(x-1)

I hope it helped U

stay safe stay happy

Answer:

[tex] {x}^{3} - x = x(x + 1)(x - 1)[/tex]

I hope I helped you^_^

One year ago, Joan was five times as old as her pony. In one year's time, the sum of the ages will be 22. How old is Joan now?​

Answers

Answer:

22 divided 5 I would think

Step-by-step explanation:

How would you write the expression "6 is less than a number tripled?"

Answers

Answer:

3q

Step-by-step explanation:

i think

Answer:

6< 3x

[where 3x = a number tripled]

Find the solution to this equation.
x + 4 = 2x + 8
2
A
All real numbers
B.
No solution

Answers

No solution, the result of doing the problem is x-4=x which is impossible

Answer:

A. All real numbers.

Step-by-step explanation:

[tex]x + 4 = \frac{2x + 8}{2} \: \: multipling \: both \: sides \: by \: 2 \\ 2(x + 4) = 2x + 8 \\ 2x + 8 = 2x + 8[/tex]

When you end up with a true statement like this, it means that the solution to the equation is “all real numbers”. Any value for x that you can think of will make this equation true.

find locus of a point which moves so that
it's distance from the point (2,1) is double its distance from (1,2)

Answers

Answer:

hi,

Step-by-step explanation:

Let say P=(x,y) a point of the locus

[tex]Distance\ from\ P\ to\ (2,1)= \sqrt{(x-2)^2+(y-1)^2} \\Distance\ from\ P\ to\ (1,2)= \sqrt{(x-1)^2+(y-2)^2} \\\\\sqrt{(x-2)^2+(y-1)^2} =2*\sqrt{(x-1)^2+(y-2)^2} \\\\(x-2)^2+(y-1)^2=4*((x-1)^2+(y-2)^2)\\\\3x^2-4x+3y^2-14y+15=0\\\\[/tex]

[tex]3x^2-4x+3y^2-14y+15=0\\3(x^2-2*\dfrac{2}{3} x)+3(y^2-2*\dfrac{7}{3}*y) +15=0\\3(x^2-2*\dfrac{2}{3}*x+\dfrac{4}{9})+3(y^2-2*\dfrac{7}{3}*y+\dfrac{49}{9} ) +15-\dfrac{4}{3}-\dfrac{49}{3}=0\\\\3(x-\dfrac{2}{3})^2+3(y-\dfrac{7}{3})^2-\dfrac{8}{3}=0\\\\\\\boxed{(x-\dfrac{2}{3})^2+(y-\dfrac{7}{3})^2=\dfrac{8}{9}}\\\\[/tex]

Locus is the circle of center (2/3,7/3) and radius =2√2  /3.

midpoint (12, -9), endpoint (19, 0) the other endpoint is ​

Answers

Answer:

(5, -18)

Brainliest, please!

Step-by-step explanation:

(12, -9)(19, 0)

x distance: 7, y distance: 9

To get the other endpoint, we must apply the opposite.

x distance: -7, y distance: -9

(12, -9)

12 - 7 = 5, -9 - 9 = -18

(5, -18)

2a + 9 = 4 then a = _______

Answers

Answer:

[tex]a=\frac{-5}{2}[/tex]

Step-by-step explanation:

[tex]2a+9=4[/tex]

[tex]2a=4-9[/tex]

[tex]2a=-5[/tex]

[tex]a=\frac{-5}{2}[/tex]

help me solve these please. Im in integrated math 2

Answers

Answer:

1.

[tex] \frac{2}{5} = \frac{x}{15} \\ \\ 5x = 2 \times 15 \\ 5x =30 \\ x = \frac{30}{5} \\ x = 6[/tex]

2.

[tex] \frac{4}{3} = \frac{x}{7} \\ 3x = 4 \times 7 \\ 3x = 28 \\ x = \frac{28}{3} \\ x = 9.33 [/tex]

3.

[tex] \frac{7}{5} = \frac{28}{x} \\ 7x = 5 \times 28 \\ 7x = 140 \\ x = \frac{140}{7} \\ x = 20[/tex]

4.

[tex] \frac{11}{4} = \frac{5}{x} \\ 11x = 5 \times 4 \\ 11x = 20 \\ x = \frac{20}{11} \\ x = 1.8[/tex]

I hope I helped you^_^

If m varies directly with t, and m = 4 when t = 12, what is the value of t when m= 12?
o
O 20
O 24
O 36

Answers

Answer:

4

Step-by-step explanation:

k=4÷12=1÷3

t=12×1÷3=4

Convert 19.3 picometers per squared kiloseconds (pm/ks^2) into megameter per squared nanoseconds (Mn/ns^2).

Answers

Unit conversion involves the conversion of a metric unit to another unit of the same quantity.

[tex]19.3 pm/ks^2[/tex] to megameter per squared nanoseconds is [tex]19.3 \times 10^{-41} Mn/ns^2[/tex]

Let:

[tex]x = 19.3 pm/ks^2[/tex]

Multiply by [tex]10^{-17[/tex] to convert megameter per squared kiloseconds

[tex]x = 19.3 \times 10^{-17} Mn/ks^2[/tex]

Divide by [tex]10^{24[/tex] to convert to megameter per squared nanoseconds

[tex]x = \frac{19.3 \times 10^{-17}}{10^{24}} Mn/ns^2[/tex]

Apply law of indices:

[tex]x = 19.3 \times 10^{-17-24} Mn/ns^2[/tex]

[tex]x = 19.3 \times 10^{-41} Mn/ns^2[/tex]

Hence:

[tex]19.3 pm/ks^2[/tex] to megameter per squared nanoseconds is [tex]19.3 \times 10^{-41} Mn/ns^2[/tex]

Read more about unit conversions at:

https://brainly.com/question/19420601

Joanne a total score for a round of darts was -42 she had thrown 6 darts and scored the same each throw How many points did Joanne score on each throw

Answers

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Ok, so we know 42 is the number of points added up, and we know that she threw 6 darts all scoring the same. Now, all we have to do is figure out what number(for example x) multiplied by 6 equals 42. Or in the form of an equation:

6x = 42

Now, to finish the equation, all we have to do is divide:

6x/6 = 42/6

42/6 = 7

x = 7

A truck can be rented from Company A for $120 a day plus $0.20 per mile. Company B charges $60 a day plus $0.40 per mile to rent the same truck. Find the number of miles in a day at which the rentals cost for company A and company B are the same.

please help..

Answers

Answer:

12 miles in a day.

Step-by-step explanation:

Variable x = number of miles

Company A: 120 + 0.20x

Company B: 60 + 0.40x

Set up an equation:

120 + 0.20x = 60 + 0.40x

60 + 0.20x = 0.40x

60 = 0.20x

12 = x

The perimeter of an equilateral triangle can be represented by 6x+36. Which of the following expressions represents the length of one of the sides of the triangle?
A. 3(2x+12)
B. 2x+12
C. 6x+33
D. 3x+18

Please help quick!!

Answers

Answer:

2x + 12

Step-by-step explanation:

6x + 36 / 3 =

(6x)/3 + (36)/3 = 2x + 12

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Find the distance between the points.

(9.7, -2.1), (-3.2, 8.1)

Answers

The answer you are going to be looking for with this question is 16.4. Hope this helps you out a little :)

I need help with this please help me

Answers

here’s your answer;
a.f(2)
given,
f(x)=5x-6
now,put the value of x=2,then we have
f(2)=5*2-6
=10-6
f(2)=4.

The perimeter of rectangle is 84 feelthe length of the rectangle is twice its width, what are the dimensions (length and width) of the rectangle?

Answers

Answer:

Length = 28

Width = 14

Step-by-step explanation:

14 + 28 = 42

42 x 2 = 84

28 / 14 = 2

Select the equivalent expression.
5
23
=?
42
Choose 1 answer:
A
44
215
410
46
47

Answers

Answer:

The choose B.

[tex] \frac{2^{15} }{ {4}^{10} } [/tex]

I hope I helped you^_^

What is the difference between the sum of 1/2 and 10 and the product of 1/2 and 10?

Answers

10.5-5=5.5

1 1/2 x 10 =5 and 1/2 + 10 = 10.5
10.5-5=5.5
the answer is 5.5

What is the length of AB?

Select the best answer from the choices provided.
A.3.5
B.3
C. 7
D.14

Answers

Root (7^2 + 7^2) = 7root2
It C

Factor this polynomial expression.
x2 + 8x + 16
A. (x-8)(x - 2)
B. (x + 4)(x + 4)
C. (x+8)(x+2)
D. (x-4)(x - 4)

Answers

Answer:

I think (x+4) (x+4) is right answer.

Step-by-step explanation:

here,

x2+8x+16

=x2+(4+4)x+ 16

=x2+4x+4x+16

=x(x+4)+4(x+4)

=(x+4)(x+4) Ans

help
hvcjhjcfhjhgvhkgbnvg

Answers

Answer:

f(1)=1+2=3, as 1 is odd

f(2)=2*2=4

f(3)=3+2=5

f(4)=2*4=8

f(11)=11+2=13

-1/2x3/5 divided by (-51/40)
plz help me simplify this

Answers

-4/17

Step-by-step explanation:

-1/2×3/5÷-51/40

= -1/2×3/5×40/51

=-4/17

If(2x,x+y)=(y,9)find x and y.

Answers

Answer:

the value of X is 3 and y is 6 .

Find the value of x.​

Answers

Answer:

Step-by-step explanation:

Those two angles are equal. They are corresponding angles.  In two parallel lines crossed by a transversal. 8 angles are produced. 4 have one value and the other 4 are supplementary to the first four.

These 2 are part of the first group of 4.

So 12x -  8 = 104

12x - 8 + 8 = 104 + 8

12x = 112

x = 9 1/3

PLEASE HELP I WILL GIVE BRAINLIEST!
Simplify: (2 squared + 3 to the fourth power) times squared -2

Answers

Answer:

-340

Step-by-step explanation:

2^2 is 4, + 3^4( is 81) = 85.

85 x -2^2= -340

Answer: 340

Step-by-step explanation:

Given wording expression

(2 squared + 3 to the fourth power) times squared -2

Convert to numerical expression

(2² + 3⁴) × (-2)²

Simplify exponents

=(2 × 2 + 3 × 3 × 3 × 3) × (-2) × (-2)

=(4 + 81) × (4)

Simplify value in the parentheses

=(85) × 4

Simplify by multiplication

=[tex]\boxed{340}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Please help its line segments

Answers

Step-by-step explanation:

[tex]here \: c \: is \: the \: \: mid \: point \\ so \: bc = cd \\ 6x - 16 = 4x + 10 \\ x \: terms \: togather \\ 6x - 4x = 10 + 16 \\ 2x = 26 \\ x = \frac{26}{2} \\ x = 13 \\ thank \: you[/tex]

Answer:

x=13

Step-by-step explanation:

BC = CD

6x-16 = 4x+10

Subtract 4x from each side

6x-16-4x = 4x+10-4x

2x-16 = 10

Add 16 to each side

2x-16+16 = 10+26

2x = 26

Divide by 2

2x/2 =26/2

x = 13

I divide my favorite number by its reciprocal , the quotient is 10 times as large as my favorite number. My favorite number is..

A. 1/10
B. 1/5
C. 1/2
D. 10

Answers

Answer:

1/10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

x is the favorite number

x÷[tex]\frac{1}{x}[/tex] = 10x (flip the fraction and multiply)

[tex]x^{2}[/tex]=10x (divide both sides by x)

x=10

what is ????????????????? 21x+28<10-3x

Answers

Answer:

x < -3/4

Step-by-step explanation:

21x + 3x < 10 - 28

24x < -18

x < -18/24

x < -3/4

23 - C<6
I cannot find the answer can someone help me?

Answers

Answer:

C > 17

Step-by-step explanation:

23 - C < 6  

-23        -23

-----------------

-C < -17

multiply both sides by -1

(-c) (-1) > (-17) (-1)

C > 17

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