x over 6 space equals space 10 over 12 ; x

Answers

Answer 1

Let's break this problem down in a few steps

x over 6 ⇒ x divided by 6 ⇒ [tex]\frac{x}{6}[/tex]10 over 12 ⇒ 10 divided by 12 = [tex]\frac{10}{12}=\frac{2*5}{2*6} =\frac{5}{6}[/tex]

Since these two fractions are equal to each other, let's solve for x

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

Thus x = 5

Hope that helps!

Answer 2

Answer:

[tex]x = 5[/tex]

Step-by-step explanation:

Step 1:  Convert to an expression

x over 6 equals 10 over 12

[tex]\frac{x}{6}=\frac{10}{12}[/tex]

Step 2:  Cross multiply

[tex](x * 12) = (6 * 10)[/tex]

[tex]12x = 60[/tex]

Step 3:  Divide both sides by 12

[tex]\frac{12x}{12} = \frac{60}{12}[/tex]

[tex]x = 5[/tex]

Answer:  [tex]x = 5[/tex]


Related Questions

Solving the System of Equations
Examine the system of equations.

4.2x + 8y = 41.8

–4.2x + y = 19.4

Use the linear combination method to solve the system of equations. What is the value of x?
–3
–1
1.7
6.8

Answers

Answer:

x= -3

Step-by-step explanation:

Solve the following system:

{8 y + 4.2 x = 41.8

y - 4.2 x = 19.4

In the second equation, look to solve for y:

{8 y + 4.2 x = 41.8

y - 4.2 x = 19.4

y - 4.2 x = y - (21 x)/5 and 19.4 = 97/5:

y - (21 x)/5 = 97/5

Add (21 x)/5 to both sides:

{8 y + 4.2 x = 41.8

y = 1/5 (21 x + 97)

Substitute y = 1/5 (21 x + 97) into the first equation:

{4.2 x + 8/5 (21 x + 97) = 41.8

y = 1/5 (21 x + 97)

4.2 x + (8 (21 x + 97))/5 = ((168 x)/5 + 776/5) + 4.2 x = 37.8 x + 776/5:

{(37.8 x + 776/5) = 41.8

y = 1/5 (21 x + 97)

In the first equation, look to solve for x:

{37.8 x + 776/5 = 41.8

y = 1/5 (21 x + 97)

37.8 x + 776/5 = (189 x)/5 + 776/5 and 41.8 = 209/5:

(189 x)/5 + 776/5 = 209/5

Subtract 776/5 from both sides:

{(189 x)/5 = -567/5

y = 1/5 (21 x + 97)

Multiply both sides by 5/189:

{x = -3

y = 1/5 (21 x + 97)

Substitute x = -3 into the second equation:

Answer: {x = -3, y = 34/5

Answer:

A) -3

Step-by-step explanation:

For f(x)=2x+1 and g(x)=x^2-7, find (f-g)(x).

Answers

Answer:

[tex](f-g)(x)=-x^{2}+2x+8[/tex]

Step-by-step explanation:

[tex]\left( f-g\right) \left( x\right) =f\left( x\right) -g\left( x\right)[/tex]

                [tex]=2x+1-\left( x^{2}-7\right)[/tex]

                [tex]=2x+1-x^{2}+7[/tex]

                [tex]=-x^{2}+2x+8[/tex]

If P = (4,7), Find:
r 180° (P)
([?], [])

Answers

Answer: (-4,-7)

Step-by-step explanation:

Which of the following numbers is rational?

Answers

Answer:

B is the answer

Step-by-step explanation:

A is a normal number
C is division along with D

So it is B

Yo I need to bring up my math grade bad so
4x-5y>20
(please show it graphed already, and step by step, NO LINKS

Answers

Answer:

Set both equations equal to 20

4x > 20

-5y> 20

solve by divideing

x >5

y> -4

Pythagorean theorem. Show your work!
Please help in really stuck!!

Answers

Answer:

[tex]\sqrt{81}[/tex] = 9 :)

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Pythagorean theorem is a^2 + b^2 = c^2.

In this case, a = 12, c = 15, and we do not know the value of "b."

Let's solve by plugging the values in!

12^2 + b^2 = 15^2

144 + b^2 = 225

Subtract 144 on both sides:

b^2 = 81

b = sqrt 81

b = 9

Solve for X please! Include small explanation as-well

Answers

Answer:

x = 26

Step-by-step explanation:

Take the sides in proportion.

7/56 = 8/(2x - 4 + 8)1/7 = 8/(2x+4)2x + 4 = 8(7) = 562x = 52x = 26

what is 326x2,419

show your work

Answers

Answer:

=788594

Step-by-step explanation:

326 x 2,419

=788594

the maximum value of 4x - 6 is 54

Answers

Answer:

x=15

Step-by-step explanation:

1. Solve

4x-6=54

4x-6+6=54+6 <=== Add 6 to both sides

4x=60

4x÷4=60÷4 <=== divide by 4 on both sides

x=15

2. Check

4x15-6=54 <=== Replace x with 15 to check

60-6=54 <=== 4x15 equals 60

54=54 <=== 60-6 equals 54 and 54=54

so it is correct!!

PLEASE HELP ME. I NEED IT TO BE SOLVED.

Answers

the correct answer is 21

Answer:

21 (this is given in the simplest form)

PLEASE SOLVE. I NEED IT TO BE CORRECT!

Answers

Answer:-4,000/ -20

Step-by-step explanation:

hopefully this is right, so you have multiple choice and if so is this up their?

Answer:

198

Step-by-step explanation:

Please help me calculate the area of all the grey parts of this shape :)

Answers

The grey part is equal to the area of the square minus the area of the “half circle”.

Square’s Area: 2cm x 2cm = 4cm^2.

Half Circle’s Area: (pi x r^2):2 =
= (3.14 x 1cm^2):2 = 1.57cm^2

Grey Part’s Area = (4 - 1.57)cm^2 = =2.43cm^2

3/5 plus 1/2 in simplest form

Answers

3/5 + 1/2

= 6/10 + 5/10

= 11/10

= 1(1/10)

= 1.10

A Lorry travels for 4 hours at a speed of 58km/h . Work out the travel distance

Answers

Answer: The answer is 9.00988 mi/h

Step-by-step explanation: to be simplified it would be 9.0 or 9 miles an hour

I NEED THIS RIGHT NOW

Answers

Answer:

B

Step-by-step explanation:

If the numerator is one, the denominator is going to be the same value as a normal positve interger.

Answer:

A

Step-by-step explanation:

If z = 10, y = 9, and x = 8, it would fit the fact that z > y and y > x.

If we divide 1 by the variables, then it would be 1/10, 1/9, and 1/8. Imagine this as a pie. 1/8 would be the biggest slice then because it is cut into less pieces. 1/9 would be the second biggest slice because it is cut into less pieces than 1/10. Therefore, A is the correct answer.

I hope this helps and please mark this as brainliest!

please help gotta get this gradae up

Answers

Answer:

its Y (bottom left graph)

Step-by-step explanation:

i graphed the function on desmos and matched it

Which fraction below represents a terminating decimal?
A.
B.
C.
D.

Answers

Answer:

3/10

Step-by-step explanation:

The fraction, 1/12, can be written as 1/4 * 1/3. Since we know that 1/3 = 0.333333... and it doesn't terminate, we know that 1/12 doesn't terminate. Similarly 2/9 = 2/3*1/3 and 2/3 = 2*1/3, and neither of these fractions terminate. But, when dividing 3/10, you get 0.3, which terminates.


Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use z = 3.14 in any formulas used.





Perimeter = 52.56 inches, Area = 162.24 square inches

Perimeter = 65.12 inches, Area
162.24 square inches

Perimeter = 46.28 inches, Area = 137.12 square inches

Perimeter = 52.56 inches, Area = 137.12 square inches

Answers

answer:

d

perimeter = 52.56 inches

area = 137.12 square inches

The total perimeter of the given figure is 60.56 inches and the total area of the given figure is 137.12 square inches. Therefore, option D is the correct answer.

The composite shape with trapezium and semicircle is given.

What is the perimeter?

The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.

The total perimeter = Perimeter of trapezium + Circumference of semicircle

Perimeter of trapezium = (8+10+10+20)

= 48 inches

Circumference of semicircle =πr

Here radius=8/2

= 4 inches

Now, 3.14×4 =12.56 inches

The total perimeter = 48+12.56

= 60.56 inches

Total area= Area of trapezium + Area of semicircle

Area of trapezium =1/2 (a+b)×h

= 1/2 (20+8)×8

= 28×4

= 112 square inches

Area of semicircle =πr²/2

= (3.14×4²)/2

= 25.12

Total area= 112+25.12

= 137.12 square inches

The total perimeter of the given figure is 60.56 inches and the total area of the given figure is 137.12 square inches. Therefore, option D is the correct answer.

To learn more about the perimeter visit:

https://brainly.com/question/6465134.

#SPJ2

write 755 minutes to the nearest hour​

Answers

ans: about 12.58hrs

if you want a whole number, then say about 12hours

[tex] \huge\mathcal\green{ANSWER} [/tex]

[tex] \mathcal\red{755 \: minutes \: is \: equal \: to \: 12.58 \: hours.} [/tex]

[tex] \mathcal\blue{12.58 \: hours \: to \: the \: nearest \:hour \: is \: 13\: hours} [/tex]

Estimate the perimeter of the figure on number 3

Answers

Answer:

13.5

Step-by-step explanation:

i just counted the whole squares and then counted the half and divided that number by 2 and added that number to the first number

9 + (9/2)

9 + 4.5

13.5

A parallelogram is shown. The length of the sides are 5 units and the length of the top and bottom segments are 8 units. A diagonal is drawn from one point to the opposite side. The length of the diagonal is 11 units.
Using Heron’s formula, calculate the area of the parallelogram to the nearest tenth of a square unit.

Area ≈
square units

Answers

Using the Heron's formula, the area of the parallelogram is 36.7 square units.

How to use Heron's formula?

Heron's Formula = √[s(s - a)(s - b)(s - c)],

where,

a, b, and c  = side of the triangles = semi perimeter of the triangle

Area of the parallelogram = 2(area of triangle)

Therefore,

The area of the triangle can be found using Heron's Formula

a = 5 units

b = 8 units

c = 11 units

s = 5 + 8 + 11 / 2 = 12 units

area of triangle = √[12(12-5)(12 - 8)(12 - 11)]

area of triangle = √12 × 7 × 4 × 1

area of triangle = √336

area of triangle = 18.3303027798

area of triangle= 18.33 units²

Therefore,

area of parallelogram = 2(18.33) = 36.6606055596

area of parallelogram = 36.7 unit²

learn more on Heron's formula here:https://brainly.com/question/12771530

The correct answer is 36.7 square units

Math

help me, Sofia practices swimming and has every day for three weeks. the first day she trains 15 minutes and each day she trains 5 minutes more than the day before She constructs the sequence for the first week of training and determines the elements of the sequence and the type.

Answers

Answer:

20

Step-by-step explanation:

you add 15 and 5

The mid point of P (10,4) and Q (-4, -6) is: *

Answers

Answer:

(-1,3)

Step-by-step explanation:

use x1+ x2 /divide by 2 .BCOS of u need the midpoint of the straight line

Each graph shows a relation. The first and second numbers of each ordered pair in the relation are members of the set of real numbers. In each case, find the domain and range and determine whether the relation is a function.

Answers

Answer:

Domain: -2≤ x≤ 0

Range: -2≤ x≤ 2

The relation is a Function

Step-by-step explanation:

The Domain is all the x values.

All the x values are either equal to or greater than -2, and less than or equal to =-0

The Range is all the y values.

Apply the same logic as the domain.

A function is where no x values are the same, and since in this graph we see no vertical line, indicating the same x value, it means it is a function

anyone knows the answer?! ​

Answers

Answer:

The third option

Step-by-step explanation:

the lowest point on function 1 is -7

the lowest point on function 2 is -9

for the given equation, enter the value of B when x =10. Bx=20​

Answers

[tex]b = 2[/tex]

Step-by-step explanation:

[tex]bx= 20[/tex]

insert x=10

[tex]b(10) = 20[/tex]

divide both sides by 10

[tex]b(10) \div 10 = 20 \div 10[/tex]

[tex]b = 20 \div 10[/tex]

simplify

[tex]b = 2[/tex]

help y’all!! it’s gradpoint!! this is the last question & i’ve failed this test so many times :(

Answers

Answer:

just study study study

Step-by-step explanation:

you will learned

Hi, I need help with this math question. Can you pls help me?

Answers

The third term is 245 and the first term is 5 -> To get from the first term to the third term, we multiply it by 49.

Since in a geometric sequence, the difference between each term has to be a constant multiplier or a sequence of multipliers -> We can find the second number to be 5 x 7 = 35

So, this geometric sequence is 5 ; 35 ; 245 and so on.

-> The common ratio of this sequence is 7. (and sorry if the things above don't make sense)

Answer:

7

Step-by-step explanation:

Given:

First term = 5Third term = 245

Let the second term be "x".

⇒ 5, x, 245...

Thus, the following equations:

5 × (something) = xx × (something) = 245

To find the common ratio between the three terms, we need to find the value of "x". Simplify both the equations to obtain the values of (something). Then compare both the values.

⇒ [5 × (something)] = x

⇒ [5 × (something)]/5 = x/5

⇒ (something) = x/5

⇒ x × (something) = 245

⇒ [x × (something)]/x = 245/x

⇒ (something) = 245/x

Now, let's compare both the results of (something).

⇒ x/5 = 245/x

⇒ x² = 5 x 245

⇒ x² = 1225

⇒ x = √1225 = 35

Substitute the second term into the sequence.

⇒ 5, x, 245 = 5, 35, 245

Looking at the sequence formed, we can tell that 7 is being multiplied to each term. Thus, 7 is the common ratio.

The variable y is directly proportional to x. If y=3 when x=5, then what is y when x=20

Answers

Answer:

y=12

Step-by-step explanation:

y=k*x

3=5*k

k=3/5

y= (3/5)*x

y=(3/5)*20

y=12

Pls help! I really need help! This is my question..

A sample of iron has dimensions of 2 cm x 4 cm x 6 cm and a mass of 100g. What is the density of the sample?

Answers

Answer:

density= 2 and 1/2

Step-by-step explanation:

The formula to find density is: density=[tex]\frac{mass}{volume}[/tex]

so the mass is 100, and the volume is 2x4=8x6=48,  100/48 equals 2 and 1/2

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