6. Complete the pattern: 4, 8, 12, 16,

Answer:

a= 4/3

Step-by-step explanation:

1.) Simplify both sides of the given equation:

1/4a + -5/6 = -1/2

2.) Add the 5/6 to both sides (cancels the -5/6)

1/4a + -5/6 (+5/6) = -1/2 (+5/6)

1/4a = 1/3

3.) Multiply both sides by 4 (the denominator)

4 * 1/4a = 1/3 * 4

a = 4/3

To check the solution, plug in 4/3 into a:

4/3/4 - 5/6 = -1/2

2.) Dividing fractions is also multiplication:

(4/3 * 1/4) - 5/6 = -1/2

3.) Get the difference of 1/3 and 5/6

1/3 - 5/6 = -1/2

4.) Simplify -3/6 (3 goes into 3 ONCE and into 6 TWO times)

-3/6 = -1/2

5.) Check to see if both sides match

-1/2 = -1/2

Answer:

I'm assuming you need to distribute. When simplified the expression is 42p-28

Step-by-step explanation:

Answer:

24p-28

Step-by-step explanation:

Answer:[tex]x<−95+3y5[/tex]

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

82 units

Step-by-step explanation:

From the image, we can see that the 2 triangles are similar triangles.

Thus:

BC = EF

BD = EG

CD = FG

Now, BD = 4x - 9 and EG = 2x + 15

Thus;

4x - 9 = 2x + 15

4x - 2x = 15 + 9

2x = 24

x = 24/2

x = 12

Thus, in triangle EFG where EG = 2x + 15, then EG = 2(12) + 15 = 39

Also, EF = BC = 17

FG = 26

Thus, perimeter of triangle EFG is;

P = 26 + 17 + 39

P = 82 units

Answer:4 1/2  Teaspoons  of vanilla will be left in the bottle

Step-by-step explanation:

Step 1

Recipe for 1 cheesecake = 1 1/2 teaspoons of vanilla

Since she s making 5 cheesecakes, she will requite = 5 x 1 1/2 teaspoons

= 5 x 3/2= 15/2 = 7 1/2 teaspoons of vanilla.

Step 2

If a bottle of vanilla contains = 12 teaspoons of vanilla

After baking 5 cheesecakes which consumed = 7 1/2 teaspoons of vanilla

Teaspoons left of vanilla = Total teaspoons of vanilla-teaspoons of vanilla used for 5 cheesecakes= 12 - 7 1/2 =4 1/2

Therefore 4 1/2  Teaspoons  of vanilla will be left in the bottle

Answer:

x=5

Step-by-step explanation:

[tex]3(x+2)=21[/tex]

[tex]3x+6=21[/tex]

[tex]3x+6-6=21-6\\\\3x=15\\\\\frac{3x}{3} = \frac{15}{3} \\\\x=5[/tex]

Answer:

x = 5

Step-by-step explanation:

You first have to multiply 3 by x and 2, and you would get 3x and 6. 3(x + 2)=3x +6

Then you have to move the 6 to the other side and it will become negative. 3x= -6 +21

Then you subtract 21-6 to get 15. 3x = 15

Then you are left with 3x = 15.

Divide 3 from both sides and you get x =5.

Answer:

9

Step-by-step explanation:

Input 3 for x

f(x)=2^3+1

f(3)=2^3+1

f(3)=8+1

f(3)=9

Answer:9+3x=12x

Step-by-step explanation: first you do 9+3 then that would equal 12 and y=12 so then after that you do 12x bc you didnt use the 9+3 with x so you add the x with the 12 and that makes it 12x

Answer:it is -1

Step-by-step explanation:

Answer:

5.25

Step-by-step explanation:

As per the question, we have

f(x)=7x

at x=0.75

f(0.75)=&(0.75)

f(0.75) = 7 x 75/100 (this is a fraction)

f(0.75)= 525/100 (this is a fraction)

f(0.75)=5.25

Hence, the value of f(x)=7x at x=0.75 is 5.25

Answer:

46

Step-by-step explanation:

6*5

-2*-8

30+16=46

Answer:

It would be 46

Step-by-step explanation:

Answer:

first year $20 second year $20.80 Third year $21.63

Step-by-step explanation: This is for an extra money per year so after the first year that is how much extra money he gets every year.

Answer:

You can use a^2+b^2=c^2;

Step-by-step explanation:

42^2+78^2=(6x-1+10x+5)^2

Answer:

3.5

Step-by-step explanation:

Triangles always equal to 180

42 + 78 + 16x + 4 = 180

124 + 16x = 180

56 = 16x

3.5 = x

Answer:

EXACT ANSWER: 6.666666666667

ANSWER ROUNDED: 7

Step-by-step explanation:

lol, I can't explain well, but it's correct.

Answer:

Percent

Step-by-step explanation:

lol I just got it right

The value of the number for the expression seven is less than the quotient of a number and five is two​ is 45.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a number is seven less than the quotient of a number and five is two​.

The value of the unknown number will be calculated as,

x/5 - 7 = 2

x/5 = 9

x = 45

To know more about an expression follow

https://brainly.com/question/2272420

#SPJ2

Answer:

y = (4/3)x − 10

Step-by-step explanation:

Rewrite in slope-intercept form.

The slope-intercept form is y = mx + b, where m is the slope and b is they-intercept.

y = mx + b

Subtract 4x from both sides of the equation.

−3y = 8 − 4x

Divide each term by −3 and simplify.

Divide each term in −3y = 8 − 4x by −3.

        (−3y/−3)= (8/−3) + (−4x/−3)

Cancel the common factor of −3.

         y= (8/−3) + (−4x/−3)

Simplify (8/−3) + (−4x/−3)

         y= (4x/3 - 8/3)

Reorder terms.

         y= 4x/3 - 8/3

Using the slope-intercept form, the slope is 4/3

         m = 4/3

To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.

Use the slope 4/3 and a given point (6, −2) to substitute for  [tex]x_{1}[/tex]and [tex]y_{1}[/tex]in the point-slope form. [tex]y[/tex] − [tex]y_{1}[/tex] = [tex]m[/tex] ([tex]x[/tex] − [tex]x_{1}[/tex]) which is derived from the slope equation[tex]m=[/tex] ([tex]y_{2}[/tex]− [tex]y_{1}[/tex])/([tex]x_{2}[/tex] - [tex]x_{1}[/tex])

y − (−2) = (4/3) ⋅ (x − (6))

Simplify the equation and keep it in point-slope form.

y − (−2) = (4/3) ⋅ (x − (6))

solve for y

y = (4/3)x − 10

Answer:

b

Step-by-step explanation:

Answer:

the answer is 7.25

Step-by-step explanation:

Hope this helps :)

Answer:

50 employees

Step-by-step explanation:

The total number of employees the business has will have to be made up the full-time employees and part-time employees.

The number of full-time employees = 15

Let the total number of  employees = x

[tex]15 = 30 percent of x[/tex]

[tex]15 = 30/100 \times x\\x=1500/30 = 50[/tex]

The company has a total of 50 employees

Answer:

8x - 1

Step-by-step explanation:

Combine like terms. 3x and 5x are like terms.

3x + 5x -1 = 8x - 1

Answer:

(3x+4)(x³+2)

Step-by-step explanation:

Follow me Please

Answer:

Hope it can help you and mark me as brainlist.

Answer:

Jada

Step-by-step explanation:

Jada traveled faster (45mph) and Andre traveled a longer distance (228 miles) but went 38mph, concluding that Jada traveled faster.

45x3=135 (Jada)

38x6=228 (Andre)

Answer:

.

Step-by-step explanation:

                            .

Answer:

X is greater than or equal to 3

Step-by-step explanation:

As you Can See the graph Starts at (3, 1) and the point is filled in which mean it includes 3 the graph continues going there for the domain= x-axis is greater than or equal to 3

Answer:

i think its A or B but im not really sure,most likely A =w=

Answer:

Slope =  - 1

Step-by-step explanation:

(x₁ , y₁) = (7,4)   & (x₂, y₂) = (5, 6)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

         [tex]= \frac{6-4}{5-7}\\\\= \frac{2}{-2}\\\\= - 1[/tex]

Answer:

Step-by-step explanation:

– 634302

Answer:

false

Step-by-step explanation:

3(0) - 2(-5) = 10

the < says it cannot be equal

Answer:

2

Step-by-step explanation:

You called this question to the right person. To find the y-intercept, you must do the formula of Point Slope (y-y1 = m (x-x1)) Since 2, is x1 and the -1 is y1, we must lay the equation out like this: y - -1 = m (x-2). Next, we must distribute the slope to the x and the 2, which would allow the x, to fit in with the slope, and the 2 to become 1 since 1/2 x 2 is 1. Now what we need to do is get rid of the -1, so what we do here is add 1. And algebra golden rule, whatever you do to one side, you must do to the other side. This would leave y = 1/2x + 2 And therefore 2 is your y-intercept, since it's at the last part of the equation.

Answer:

65°

Step-by-step explanation:

The tangent is perpendicular to the diameter BD therefore m‹CBR=90°-25°=65°

Answer:

1.86666666667

Step-by-step explanation:

Answer:

1 13/15

Step-by-step explanation: