All categories

3 years ago

X X 7

Mathematics

2 answers:

tatyana61 [14]3 years ago

8 0

Answer:

x = 7

Step-by-step explanation:

Given

$\frac{x}{3}$ + $\frac{x}{6}$ = $\frac{7}{2}$ ( multiply through by 6, the LCM of 3,6, 2 to clear the fractions )

2x + x = 21

3x = 21 ( divide both sides by 3 )

x = 7

harina [27]3 years ago

4 0

Answer:

x=7

Step-by-step explanation:

x/3 + x/6 = 7/2

Multiply each side by 6 to clear the fractions

6(x/3 + x/6) = 7/2 *6

Distribute

2x +x = 21

Combine like terms

3x = 21

Divide by 3

3x/3 = 21/3

x = 7

You might be interested in

What is 1037 /61 in standard form

JulijaS [17]

Y=17 If it's just 1037/61

7 0

3 years ago

Given the two expressions shown below: A. square root of 64 plus square root of 5 B. square root of 64 plus square root of 4 Whi

ElenaW [278]

$A.\ \sqrt{64}+\sqrt5=8+\sqrt5\ -\ irrational\\\\B.\ \sqrt{64}+\sqrt4=8+2=10\ -\ rational\\\\\text{Answer:}\ d.\ A\ is\ irrational,\ but\ B\ is\ rational.$

6 0

4 years ago

Point E is between points D and F. If DE = x - 4 , EF = 2x + 5 , and DF = 4x- 8 , find x

horsena [70]

You know that
$DE+EF=DF
(x-4) + (2x+5) = (4x-8)
$

combine like terms $3x+1 = 4x-8
1 = x-8
x=9$

3 0

3 years ago

Drew is 3 years younger than his brother, Jimmy. The sum of the brothers' ages is 21 1. Draw a bar model to represent this situa

alina1380 [7]

The first step to solving a story problem is identifying variables. For this problem, I will identify the variables as:

D = Drew's age

J = Jimmy's age

Once the variables are identified, we need to find as many equations as we have variables. Since we have two variables, we will have to write two equations.

Since Drew is 3 years younger than Jimmy: D + 3 = J

Since the sum of the brothers' ages is 21: D + J = 21

Once I have two equations is two variables, I can solve the system using either substitution method or elimination method. For this problem, I will use substitution method.

D + J = 21 Equation 2

D + (D + 3) = 21 Substitution of value of J from equation 1 into equation 2

D + D + 3 = 21 Associative property of addition

2D + 3 = 21 Simplify

2D + 3 - 3 = 21 - 3 Subtract 3 from each side

2D = 18 Simplify each side

2D/2 = 18/2 Divide each side by 2

D = 9 Simplify each side

Now that we have D, we can substitute it into equation 1 to get the value of J

D + 3 = J Equation 1

9 + 3 = J Substitution

12 = J Simplify

7 0

3 years ago

Describe the steps you would take to draw a graph

Fynjy0 [20]

Answer:

Step-by-step explanation:

Step 1: Identify the variables. ...

Step 2: Determine the variable range. ...

Step 3: Determine the scale of the graph. ...

Step 4: Number and label each axis and title the graph.

Step 5: Determine the data points and plot on the graph. ...

Step 6: Draw the graph.

5 0

3 years ago

Read 2 more answers