I want you to help me solve the variable equations of questions 3

Answers

Answer 1

Answer:

Answer:

$\huge\boxed{\sf x = -24}$

Step-by-step explanation:

Given equation:

$\displaystyle -(1)/(2) x - 4 =8\n\nAdd \ 4 \ to \ both \ sides\n\n-(1)/(2) x = 8+4\n\n-(1)/(2) x = 12\n\nMultiply \ both \ sides \ by \ -2\n\n-(1)/(2) x * \ -2 = 12 * -2\n\n\boxed{x = -24}\n\n\rule[225]{225}{2}$

Answer 2

Answer:

Answer:

$\boxed{\mathtt{1) \ x=4}}$

$\boxed{\mathtt{2) \ x=2}}$

$\boxed{\mathtt{3) \ x=-24}}$

Step-by-step explanation:

$\textsf{For these problems, we are asked to solve for x in each equation.}$

$\textsf{We should use similar steps for each of them.}$

$\large\underline{\textsf{For Number 1:}}$

$\textsf{We should first begin by adding 2 to both sides of the equation.}$

$\mathtt{8x=32}$

$\textsf{Now, divide by 8.}$

$\boxed{\mathtt{1) \ x=4}}$

$\large\underline{\textsf{For Number 2:}}$

$\textsf{Let's begin by subtracting 5 from both sides of the equation.}$

$\mathtt{-x=-2}$

$\textsf{Now, divide by -1.}$

$\boxed{\mathtt{2) \ x=2}}$

$\large\underline{\textsf{For Number 3:}}$

$\textsf{Beginning Number 3, let's multiply by -2 to both sides of the equation.}$

$\mathtt{x+8=-16}$

$\textsf{Now, subtract 8 from both sides of the equation.}$

$\boxed{\mathtt{3) \ x=-24}}$

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There are 11 students in your class. In how many ways a group of 4 students will beselected to participate in a social campaign such that you will always be included in
the group to lead the event?

Answers

Answer:

Step-by-step explanation:

If you are always included to lead, that leaves 10 students to choose from.

If all that is important is being selected, then there are 10C3 = 120 ways to choose them.

If each selection has a unique duty, then there are 10P3 = 720 ways to assign them their jobs.

Answer: 10P3=720

Step-by-step explanation:

An architect uses a scale of 2/3inch to represent 1 foot on a blueprint for a building. If the east wall of the building is 24 feet long, how long (in inches) will the line be on the blueprint?

Answers

Length of the wall on blueprint will be 16 inches.

Use of scale to calculate the distances or length,

Scale used by an architect on a blueprint,

$(2)/(3)\text{ inch}= 1\text{ foot}$

Scale represents the ratio of the length of the wall on blueprint and actual length,

$\frac{\text{Length on the blueprint}}{\text{Actual length}} =\frac{(2)/(3)\text{ inches}}{1\text{ feet}}$

$\frac{\text{Length on the blueprint}}{\text{Actual length}} =(2)/(3)$

If actual length of the east wall of the building = 24 feet

Substitute the value in the expression representing the ratio,

$\frac{\text{Length on the blueprint}}{24} =(2)/(3)$

Length of the blueprint = $(2)/(3)* 24$

= $16$ inches

Therefore, length of the wall on blueprint will be 16 inches.

Learn more about the use of scale to calculate the distances on map.

brainly.com/question/11276271?referrer=searchResults

Answer:

16 in.

Step-by-step explanation:

We have the ratio

$(in.)/(ft): ((2)/(3) )/(1)$

How about let's make this easier. Easier is better, right? Let's get rid of the fraction 2/3. We will do that by multiplying 2/3 by 3 and 1 by 3 to get the equivalent ratio of

$(in.)/(ft):(2)/(3)$

Now we need to know how many inches there would be if the number of feet is 24:

$(in.)/(ft):(2)/(3) =(x)/(24)$

Cross multiply to get

3x = 48 so

x = 16 in.

the table below shows different possibilites for the number of games a team would need to win to maintain a certain percentage of wins

Answers

Answer:

here hope this helps please mark brainly

Step-by-step explanation:

Anybody Know This. ?

Answers

Answer:

Step-by-step explanation:

To get the volume multiply the length, width, and Height

12x4x2=96

Which shows one way to determine the factors of Which shows one way to determine the factors of x3 + 4x2 + 5x + 20 by grouping? by grouping?

Answers

The factored expression of the expression x^3 + 4x^2 +5x + 20 is (x^2 + 5)(x + 4)

How to determine the factors?

The expression is given as:

x^3 + 4x^2 +5x + 20

Group the expression into two

(x^3 + 4x^2) + (5x + 20)

Factorize each group

x^2(x + 4) + 5(x + 4)

Factor out x + 4

(x^2 + 5)(x + 4)

Hence, the factored expression of the expression x^3 + 4x^2 +5x + 20 is (x^2 + 5)(x + 4)

Answers

Answer: -1 1/8

Step-by-step explanation: When you have a problem like this, you have to divide.

So you turn the improper fraction into a mixed number which (4 1/2 turns into 9/2) and then you do KCF (Keep Change Flip). So you keep the 9/8, change division into multiplication, and since we are going to put the four over a 1 like this 4/1, we need to change it into 1/4. Then you multiply across. 9x1=9 and 2x4=8 so it would be 9/8. But it's an improper fraction right? So you do long division, and you get -1 1/8.

-103

if he lost the same weight each week that means -412 (the weight he lost) ÷ 4 (number of weeks) = -103 (amount of weight lost in one week)

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