Find the missing expressions... (6+4n) - (8+3n) =? And (4+6n) - (3+8n)=?

Answer:

You should be right

Step-by-step explanation:

Srry if I am wrong though

Answer:

- 9x + 12

Step-by-step explanation:

Given

(- 7x + 4) - (2x - 8) ← distribute parenthesis by 1 and - 1

= - 7x + 4 - 2x + 8 ← collect like terms

= - 9x + 12

Answer:

median

Step-by-step explanation:

The first step is to sort the numbers from largest to smallest (you could go the other way as well).

60 52 48 44 20 16 12

The median is the middle number 44 in this case. The median has 3 numbers on its left and 3 on its right (in this case). 44 has 60 52 48 or its left and 20 16 and 12 on its right.

The mean is the average. We'll call it the new average

The mean is 60 + 52 + 48 + 44 + 20 + 16 + 12 = 252

The new mean is 252 / 7 = 36

=====================

The old median is the average between the middle 2 numbers (before you added 60 you had 6 numbers)

52 + 48 + 44 + 20 + 16 + 12 = the average of 44 + 20 which 64/2 = 32

The old mean was (52 + 48 + 44 + 20 + 16 + 12)/6 = 32.

=======================

The median increased from 44 to 32 = 12

The mean went from 32 to 36 which is 4

Answer: the median increased more  

Answer:

see below

Step-by-step explanation:

f(x) = x^2 – 2x – 3

To find the roots, set the equation equal to zero

0  = x^2 – 2x – 3

Factor, what two numbers multiply to -3 and add to -2

-3 * 1 = -3

-3 + 1 = -2

0 = (x-3)( x+1)

Using the zero product property

x-3 =0   x+1 =0

x=3          x=-1

Answer:

3

Step-by-step explanation:

cuz i said so lol

Answer: the correct answer is 3c-5

Step-by-step explanation: I just solved it

Note that the expression "3c - 5" represents Ansley's age, and if Ansley is 31 years old, her cousin's age (c) would be 12.

According to the given information, Ansley's age is 5 years younger than 3 times her cousin's age.

We can represent this mathematically as  -

Ansley's age = 3 * Cousin's age - 5

Using the variable c to represent the cousin's age, the expression representing Ansley's age would be  -

3c - 5

Thus , the expression "3c - 5" represents Ansley's age in terms of her cousin's age (c).

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Answer:

613.5 m^2

Step-by-step explanation:

The area of the base is

A = 1/2 bh

   = 1/2 (10) (8.7) =43.5 m^2

We have three sides with all the same area

The area of one side is 10 * 16 = 160

3 * 160 = 480 m^2

Now to the top

We have 3 sides with the same area

The area of one side

A = 1/2 bh

A = 1/2 (10) (6)

   = 30 m^2

3* 30 = 90

Add all the areas together to get the total surface area

43.5 m^2+ 480 m^2 + 90 m^2

613.5 m^2

Answer:

[tex]\Huge \boxed{\mathrm{613.5 \ m^2 }}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

We can find the total surface area by adding the surface area of the triangular prism with the surface area of the triangular pyramid at the top.

Surface area of the triangular prism:

10 × 8.7 × 1/2 + 16 × 10 × 3

⇒ 523.5

Surface area of the triangular pyramid:

6 × 10 × 1/2 × 3

⇒ 90

Adding the surface areas:

523.5 + 90

⇒ 613.5

[tex]\rule[225]{225}{2}[/tex]

Answer:

- 920

Step-by-step explanation:

There is a common difference d between consecutive terms in the sequence, that is

d = 22- 30 = 14 - 22 = 6 - 14 = - 8

This indicates the sequence is arithmetic with sum to n terms given by

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = 30 and d = - 8 , thus

[tex]S_{20}[/tex] = [tex]\frac{20}{2}[/tex] [ (2 × 30) + (19 × - 8) ]

     = 10(60 - 152)

     = 10 × - 92

     = - 920

Answer:

730864

Step-by-step explanation:

654321 +76543=730864

Answer:

t =1

Step-by-step explanation:

3t - 18 = 4(-3-3/4t)

Distribute

3t - 18 = -12 -3t

Add 3t to each side

3t -18+3t = -12 -3t+3t

6t -18 =-12

Add 18

6t -18+18 = -12+18

6t = 6

Divide by 6

6t/6 = 6/6

t =1

Answer:

t = 1

Step-by-step explanation:

start by distributing the 4 to whats in the parentheses.

4 (-3 - 3/4t)

-12 - 3t

*helpful tip: if you multiply a fraction by its denominator the product is equal to its numerator

now you have:

3t - 18 = -12 - 3t

add 18 to both sides

3t = 6 - 3t

add 3t to both sides

6t = 6

divide both sides by 6

t = 1

Answer:

Step-by-step explanation:

The key here is knowing that the equation of the line that passes through these points is same

Thus having (6,14) and (0,0), the slope is as follows;

m = y2-y1/x2-x1 = 0-14/0-6 = -14/-6 = 7/3

Now we can use this slope here to get the value of y in the question

All we need to do is tie write the equation of the line for between the points (6,14) and (2,y)

That would be;

7/3 = y-14/1-6

7/3 = y-14/-5

cross multiply;

-35 = 3(y-14)

-35 = -3y + 42

-3y = -35-42

-3y= -77

y = -77/3

y = 77/3

Answer:

hope this helps you

Answer: The answer is given below

Step-by-step explanation:

From store 1:

Latoya paid $17.64 for a 7.94-kg bag of dog food. The unit price will be the price paid divided by the quantity. This will be:

= $17.64/7.94

= $2.22 per kg

For store 2:

A few weeks later she paid $18.88 for an $8.39-kg bag at a difference store. The unit price in the second store will be: $18.88/8.39 = $2.25 per kg.

The unit price of the first store is a better buy because the price is cheaper.

Answer:

the price of the first store is cheaper by 0.03 dollars (2.25 - 2.22), that is to say 3 cents

Step-by-step explanation:

To calculate the unit price we must divide by the price by the weight, thus we will obtain the value for each kilogram of dog food:

First price:

17.64 / 7.94 = 2.22

In other words, the price is 2.22 dollars per kilogram.

Second price:

18.88 / 8.39 = 2.25

In other words, the price is 2.25 dollars per kilogram.

Which means, that the price of the first store is cheaper by 0.03 dollars (2.25 - 2.22), that is to say 3 cents.

Answer:

216 cm^3

Step-by-step explanation:

Volume of a cube=s^3

6 cm^3=216 cm^3

Answer:

-54

Step-by-step explanation:

2jk - 10j

Let j = 9 and k=2

2*9*2 - 10 *9

36 - 90

-54

Answer:

1

Step-by-step explanation:

500/500=1

x / x = 1

Answer:

Step-by-step explanation:

This is because when you divide a number with each other then they cancel out to equal 1. This can happen with the letter x. So, x/x = 1.

Going back to the question 500/500 can cancel out to become 1.

Answer:

640 and 400

Step-by-step explanation:

Cost of books: x and 1040 -x

x sold at a loss of 15%= 0.85 x

1040 -x sold at  a profit of 36% = (1040 - x)*1.36

Answer:

x = 2 or x = -2

Step-by-step explanation:

5x² - 15 = 5​

⇌

5x² = 15 + 5

⇌

5x² = 20

⇌

x² = 20/5 = 4

⇌

x² = 2²

⇌

x² - 2² = 0

⇌

(x - 2)(x + 2) = 0

⇌   we use the zero product property

x - 2 = 0 or x + 2 = 0

⇌

x = 2 or x = -2

Answer:  3/4

Step-by-step explanation:

1. square root the denominator and nominator, 36= 6 and 64= 8

2. put them together (6/8)

3. simplify 6/8

4. 6/8 divided by 2

5. 3/4 is your answer

Answer:

2

Step-by-step explanation:

Add the students that take math and physics and subtract the ones that take both so that they are not double counted

65+43-10 =98

There are 100 students

100-98 =2

There are 2 that take neither math nor physics

Answer:

The answer is D.

Step-by-step explanation:

Given that f(x) = g(x) which means that both functions intersect to each other. By looking at the graph, x = -2 or 0 or 2 are the places where they intersect.

Answer:

$4/ hour

Step-by-step explanation:

every hour you go you add 4 dollars

example: 1 hour is $2

                2 hours is $6

Answer:

slope = - 5

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 ) = (0, 2) and (x₂, y₂ ) = (2, - 8)

m = [tex]\frac{-8-2}{2-0}[/tex] = [tex]\frac{-10}{2}[/tex] = - 5

The value of the gradient is -1/5.

In order to find the gradient of a line either of the two ways can be used. First, the equation of line should be written in terms of y, then the coefficient of x is the gradient.

The other method is to find the two points on the graph and then take the ratio of the difference of corresponding coordinates.

The given points are (0,2) and (2,-8).

Since the gradient of the line segment between points (x₁, y₁) and (x₂, y₂) is given as,

Gradient = (y₂-y₁)/(x₂-x₁)

Substitute the corresponding values to obtain,

Gradient = (2-0)/(-8-2)

               = -2/10

               = -1/5

Hence, the gradient of the line segment joining the points (0,2) and (2,-8) is -1/5.

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Answer:

25 : 4

Step-by-step explanation:

Given 2 similar figures with ratio of sides = a : b , then

ratio of area = a² : b²

For the given figures the ratio of corresponding sides is

JK : EF = 20 : 8 = 5 : 2 , thus

ratio of areas = 5² : 2² = 25 : 4

Answer:

B

Step-by-step explanation:

Because you subtract 14 from the right and left of the = sign

and now we add one on tbe right and left of the = sign. so the quadratic problem would be 3x^2 + 9x -13

the answer is 8=8

Step-by-step explanation:

it just is

Answer:

Let the first trip be x

Second trip is 2x-4

Third trip is 2(2x-4)

Fourth trip is 3x + 18

x + (2x-4) + 2(2x-4)+3x+18 = 426

x + 2x -4 + 4x - 8 + 3x + 18 = 426

10x + 6 = 426

10x = 426-6

x = 420/10 = 42 km

Second trip was

2x-4 = 2(42)-4 = 84-4 = 80 km

Third trip was

2 * 80 = 160 km

Fourth trip was

3(42) + 18 = 144 km