solve the following equation and verify your answer.
[tex] \\ [/tex]
[tex] \huge \purple{ \frac{3x - 1}{5} - \frac{x}{7} = 3}[/tex]
​

Answer:

10

Step-by-step explanation:

log4(x+6)=2

x+6=4²

x=4²-6

x=10

Answer:

[tex]x=10[/tex]

Step-by-step explanation:

[tex]log_4(x+6)=2[/tex]

[tex]4^{log_4(x+6)}=4^2[/tex]

[tex]x+6=16[/tex]

[tex]x=10[/tex]

Remember that logarithmic functions are the inverses of exponential functions. Therefore, we raise the base of the logarithm to the logarithm to undo the operation.

Answer:

An isosceles triangle has two side lengths the same and one different.

Step-by-step explanation:

Answer:

The answer is 55 6/9, but when simplified, it is 55 1/3

Answer:

Step-by-step explanation:

(-7, 8) (-8, 8)

(y2 - y1) / (x2 - x1)

(8 - 8) / (-8 + 7)

0 / -1

the slope is 0

you could also see this because the y value doesn't change

if the y value doesn't change the slope is 0, if the x value doesn't change the slope is undefined

Answer:

slope = 0

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (- 7, 8 ) and (x₂, y₂ ) = (- 8, 8 )

m = [tex]\frac{8-8}{-8-(-7)}[/tex] = [tex]\frac{0}{-8+7}[/tex] = [tex]\frac{0}{-1}[/tex] = 0

Answer: i got you my boi answer is x > -3

Step-by-step explanation:

Answer:

If the directions say write an equation: 2n + 5 =25

If the directions say also to solve the equation and find the number: 10

Step-by-step explanation:

"The sum" means we're using adding. So what things are we adding together? The question says "twice a number" and 5. Well we've got the 5. And "twice" means two times. And "a number" means we don't know the number yet, so we choose a variable, like n.

"Twice a number" can be written 2n.

So far we have:

2n + 5 is 25

We use = for the "is" in this sentence.

2n + 5 = 25

Now we can solve it.

Subtract 5 from both sides.

2n = 20

Divide by 2 on both sides.

2n/2 = 20/2

n = 10

The number is 10.

Answer:

n-1,n,n+1

Step-by-step explanation:

let the numbers be x,x+1,x+2

x+x+1+x+2=3n

3x+3=3n

3x=3n-3

x=1/3 (3n-3)=n-1

so mumbers are n-1,n,n+1

The three consecutive numbers are n-1, n, and n+1.

We have to determine, the three consecutive numbers if their sum is 3n.

According to the question,

The consecutive number series can be even as well as odd depending on the first term of the series and the difference between the numbers.

Let, the three consecutive numbers be x, x+1, and x+2.

The sum of three consecutive numbers is equal to 33.

[tex]\rm x + x+1+x+2=3n\\\\3x+3 = 3n \\\\Divided \ by \ 3 \ on \ both \ the \ sides \\\\x +1 = n\\\\x = n-1[/tex]

Therefore,

The first consecutive number is,

[tex]\rm x = n-1[/tex]

The second consecutive number is,

[tex]\rm x+1 = n-1+1 = n\\[/tex]

The third consecutive number is,

[tex]\rm x+2= n-1+2 = n+1\\[/tex]

Hence, The three consecutive numbers are n-1, n, and n+1.

For more details refer to the link given below.

https://brainly.com/question/16048559

Answer:

17.5

Step-by-step explanation:

7*5/2

Answer:

The correct answers are:

A) 60 miles; and B) 3.375 hours.

Explanation:

We will use the equation d = rt for this.

For the first leg of the trip, the bird travels 20 miles per hour for x hours.  This gives us the equation

d = 20x

For the return trip, the bird travels 4 miles per hour slower, so 20-4 = 16 miles per hour.  He also travels 6 miles less than the return distance, for x hours:

d-6 = 16x

To isolate d, we will add 6 to each side:

d-6+6 = 16x+6

d = 16x+6

We will set the two equations equal to one another, since they both equal d:

20x = 16x+6

Subtract 16x from each side:

20x-16x = 16x+6-16x

4x = 6

Divide both sides by 4:

4x/4 = 6/4

x = 1.5

He travels for 1.5 hours both times.

The first time, 1.5 hours at 20 miles per hour is:

d = 1.5(20) = 30 miles

The original trip is 30 miles.  This makes the entire trip 30(2) = 60 miles.

On the return trip, he travels 30-6 = 24 miles at 16 miles per hour:

24 = 16x

Divide both sides by 16:

24/16 = 16x/16

1.5 = x

If he goes 24 miles in 1.5 hours at 16 miles per hour, we can use a proportion to find the time it takes for the entire return trip:

24/1.5 = 30/x

Cross multiplying,

24*x = 1.5(30)

24x = 45

24x/24 = 45/24

x = 1.875

This gives him a total time of 1.5+1.875 = 3.375 hours

Step-by-step explanation:

Answer:

y=1/2-8

Step-by-step explanation:

slope is 1/2

-4-y=1/2(8-x)

-4-y=4-1/2

-y=-1/2+8

y=1/2-8

Using the function graph given, it is found that:

When a piece-wise function is given, that is, a function that has multiple definitions, the numeric value at x when the definition changes is given by the closed circle.

To learn more about the use of graphs to analyze a function, you can take a look at https://brainly.com/question/21447009

19

Explanation:

9-3=6

(Check your work)

3+6=9

__________________________________

6÷1/3=18

(Check your work)

(6×3=18)

__________________________________

18+1=19

Therefore,

the answer is 19!

Answer:

She will need 10 containers

Step-by-step explanation:

Using long division and converting both solutions to decimals we can use the equation 11.50 divided by 1.25. This will equal 9.20, we then know that she would need 9 containers but we would still have a remainder of .20 so in total to fit everything she would need 10.

I hope this helps have a great day :)

Answer:

13.6 and .4

Step-by-step explanation:

3.4x4=13.6

leaving .4 left

Answer:

4 and 2 berries left over.

Step-by-step explanation:

14 divided by 3 = 4

4x3=12

14-12=2

Answer:

  y = 5x +2

Step-by-step explanation:

The point (0, 2) tells us the y-intercept is 2.

If we translate the table down 2 units by subtracting 2 from every y-value, it becomes ...

  6, 30

  -2, -10

  0, 0

  10, 50

We notice these values are all related by a factor of 5 (they are proportional). That means the equation will be a straight line with slope 5 and y-intercept 2.

  y = 5x +2

Answer:

27

Step-by-step explanation:

just do 5+10+12

Answer:

i think the answer is -> "the mean can be less than the minimum data value."

Step-by-step explanation:

mean means the average and by finding the average you need to add up all your set values then divide it, so with that being said the mean will always need to be higher than the lowest data set of value.

Answer:

A. [tex]8cm^{3}[/tex] B. Yes

Step-by-step explanation:

2*2*2=8cm cubed

8*12*10=960 which is greater than 800

Answer:

Step-by-step explanation:

2 x 2 x 2 = 8

the volume is 8 cm^3

8 x 12 x 10 = 960 cm^3

8 / 2 = 4

12 / 2 = 6

10 / 2 = 5

4 x 6 x 5 = 120

you can fit up to 120 cubes into the container

Answer:

first line for you graph would be from 5 to 5 and the second line is -4 to 2

Step-by-step explanation:

hope this is what you needed:)

Answer:

u can use fraction calculator

Step-by-step explanation:

just go and search 'fraction calculator'

Answer:

£650=$1053

£405=$656.1

from the scale we multiply the values of euro by 1.62

Answer:

1.) 401 dollars

2.)656 euros

Answer:

p=2/5

p=0.4

Step-by-step explanation:

Answer:

p=2/5

Step-by-step explanation:

6p+13.5=159/10

Answer:

[tex]y = \frac{1}{8} x - 3[/tex]

Step-by-step explanation:

Formula for straight lines:

[tex]y = mx + b[/tex]

where m = slope, b = constant

Given:

y-intercept = -3 (0, -3)

m = ⅛

Substitute into formula to find b.

[tex] - 3 = \frac{1}{8} (0) + b \\ - 3 = 0 + b \\ b = - 3[/tex]

Substitute b into original formula

[tex]y = mx + b \\ y = \frac{1}{8} x + ( - 3) \\ y = \frac{1}{8} x - 3[/tex]

Answer:

Let the radius of the circumscribed circle be r.

The formula for calculating the radius r is

r

=

Δ

s

Where  

Δ

is the area of the triangle

s

is the semi-perimeter.

s

for any triangle is calculated as

s

=

a

+

b

+

c

3

Where,  

a

,

b

,

c

is the sides of the triangle

Δ

=

√

s

(

s

−

a

)

(

s

−

b

)

(

s

−

c

)

(Heron's Formula)

Plug in the values and get the answer.

Once you have the radius, you can easily find out the area of the circle.

Step-by-step explanation:

Answer: It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable

Answer:

5.6

Step-by-step explanation:

if x is -1. multiply -0.6 * -1. Which is -0.6.

Then add -0.6 and 6.2 and the answer you would get is 5.6.

Answer: 267.947 (or 267.95) inches^3

Step-by-step explanation:

The formula for the volume of a sphere is [tex]\frac{4}{3}\pi r^{3}[/tex].

To find your radius (r), divide the diameter of 8 inches by 2. The radius is 4 inches.

Plug in your numbers to the volume equation to get [tex]\frac{4}{3} (3.14)(4^3)[/tex]. The first step is to cube 4 (4*4*4) to get 64. Now your equation is [tex]\frac{4}{3}(3.14)(64)[/tex].

Multiply 3.14 and 64 to get 200.96. The equation is now [tex]\frac{4}{3}(200.96)[/tex] or [tex]\frac{4}{3} * \frac{200.96}{1}[/tex].

Multiply the numerators (4 * 200.96) and denominators (1 * 3) to get a final equation of [tex]\frac{803.84}{3}[/tex].

Finally, divide 803.84 by 3 to get the final answer of 267.947 in^3.