The average mass of a group of X people in a class is 60 kg. Albert, Ben and Carl join the group and the new average mass is 20 kg The average mass of Alpert, Ben and Carl is 100 kg.
What is the value of x? ​

The solution to the original equation will be -2 and -6

Given the function [tex](x + 3)^2 + (x + 3) - 2 = 0.[/tex]

If u = x + 3, the function in terms of "u" will be;

[tex]u^2+u-2=0[/tex]

Factorize the resulting equation as shown:

[tex]u^2+u-2=0\\u^2+2u-u-2=0\\u(u+2)-1(u+2)=0\\(u-1)(u+3) = 0\\u=1 \ and \ -3[/tex]

Since x + 3 = u

x = u - 3

If u  = 1

x = 1 - 3  = -2

If u  = -3

x = -3 - 3  = -6

Hence the solution to the original equation will be -2 and -6

Correct question:

Solve (x + 3)^2 + (x + 3) – 2 = 0. Let u = Rewrite the equation in terms of u. (u2 + 3) + u – 2 = 0 u2 + u – 2 = 0 (u2 + 9) + u – 2 = 0 u2 + u + 1 = 0 Factor the equation. What are the solutions of the original equation?

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Answer:

tn = n·a

 t10 = 10a

Step-by-step explanation:

We observe that the coefficient of 'a' is the term number:

 tn = n·a

 t10 = 10a

Step-by-step explanation:

Answer:

23 - 6x

Step-by-step explanation:

2(3x+4) - 3(4x-5)

6x + 8 - 12x +15 (distributing)

23 - 6x (combining like terms)

First, we can eliminate d(x) because we can see it's a linear line. We can also eliminate a(x) because it's also a linear line. Both b(x) and c(x) have an asymptote. on b(x) you can see that x = 3 is the asymptote. For c(x) if it's graphed, it has a horizontal asymptote at y = -1.

Hope this helps!

Answer: There are no solutions

Answer:

Two

Step-by-step explanation:

x^2 = 4x - 5 is equivalent to x^2 - 4x + 5 = 0 in standard quadratic form.

All quadratics have exactly two roots/solutions.

In this case the coefficients of the polynomial are 1, -4 and 5, and so the discriminant is b^2 - 4ac, or (-4)^2 - 4(1)(5), or 16 - 20 = -4.

Since the discriminant is negative, we conclude that this polynomial has two complex roots/solutions.

Answer:

x = 27°

Step-by-step explanation:

l ║ m    Given

(x + 72) + (3x) = 180°       If parallel line then same-side angles = 180°

4x + 72° = 180°

 4x = 180° - 72°

 4x = 108°

   x = 108°/4

   x = 27°

Answer:

26 1/4

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

You add up both fractions, sorry for the lazy explanation

Answer:

that would be 24%

Step-by-step explanation:

Now we can see that our fraction is 24/100, which means that 12/50 as a percentage is 24%.

Answer:

24%

Step-by-step explanation:

the fraction form is 24/100, meaning the percentage is 24% put of 100%

Answer:

Step-by-step explanation:

We have been given that we need to paint the globe held aloft by a statue of Atlas. Its diameter is 10.5 in.

First of all we will find the area of globe using area of sphere formula.

, where r represents the radius of sphere.

Since diameter is 2 times the radius, so the radius of our given globe will be:

Since 27 square inches does not need to be painted, so the area we must cover with paint will be:

Upon rounding our answer to nearest hundredth we will get,

Therefore, we must cover 319.36 square inches with paint.

Step-by-step explanation:

exterior angle is the sum of two opposite interior angle

11x+9=3x+12+85

11x-3x=88

8x=88

x=11.

hope this helps you.

Answer:

x=11

Step-by-step explanation:

85 + 3x + 12= 11x+9

97  +3x= 11x+9

-97            -97

3x= 11x - 88

-11x    -11x

-8x = -88

/-8     /-8

x=11

Answer: It will take 125 day

Step-by-step explanation: 100 divide by 4 = 25 and 25 x 5 = 125

Answer:

1

Step-by-step explanation:

Hey there! I'm happy to help!

Since we are using graphs, we will do not need to algebraically solve this system of equations.

When you graph a system of equations, the solution is always the point at which the two lines intersect.

Here is our system of equations graphed. We see that the lines intersect at about (1 1/3, 2 1/3). Therefore, the correct answer is C. x=1 1/3, y=2 1/3

Have a wonderful day! :D

Answer:

5n+p>40

n+p<20

Step-by-step explanation:

Answer:

Answer below

Step-by-step explanation:

The currency called the dollar can be split into smaller forms called nickels, pennies, dimes, and quarters.

The system of inequalities that represents how many pennies and nickels that Jada could have is given as:

p + n < 20

0.01p + 0.05n > 0.40

Let's represent the number of :

pennies = p

nickels = n

It is important to also note that:

1 penny = $0.01

1 nickel = $0.05

40 cents can also be written as: $0.40

Jada has p pennies and n nickels that add up to more than 40 cents.

The word more than means greater than and this can be represented by the inequality sign ">". Hence, our inequality equation is given as:

$0.01 x p + $0.05 x n > $0.40

0.01p + 0.05n > 0.40

She had fewer than 20 coins altogether.

The word fewer means less than and this can be represented by the inequality sign "<". Hence, our inequality equation is given as:

p + n < 20

Therefore, the system of inequalities that represents how many pennies and nickels that Jada could have is given as:

Correct answer is  p + n < 20 0.01p + 0.05n > 0.40

_____________________________________________________

(Hope this helps can I pls have brainlist (crown)☺️)

Answer:

14 (3x+2y)

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

The sine of the angle theta is given by the ratio of the opposite leg to the hypotenuse side of the right triangle formed by the terminal segment.

Reasons:

The given parameters are;

The sine value of the given angle = One-half

Required: To select the true statement of the location of the terminal side.

Solution:

Given that sin(θ) = 0.5, we have;

The sine of an angle is positive in Quadrant I and Quadrant II

The reference angle, is the angle formed between the angle's terminal side and x-axis

By trigonometric ratios, considering the reference angle, we have;

θ = arcsin(0.5) = 30°

Therefore;

The option that gives the true location of the terminal side of an angle, that have a sine value of One-half is; Theta has a reference angle of 30° and is in Quadrant I or II.

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Answer:

a

Step-by-step explanation:

edge

Answer:

no because r is a varible that dont have number

The correct expression of  r less than 52 is r<52.

An expression is combination of variables, numbers and operators.

The given expression is r less than 52

We have to write in the form of inequality

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The less than represents the relationship between r and 52

In the given expression r is the variable

r<52 is the required expression or inequality

Hence, the correct expression of  r less than 52 is r<52.

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Answer:

C

Step-by-step explanation:

If you take 4% away from 350,000, it equals 336000. Divide this number by 350000, and you get 96%, which makes sense. But, if you take 4% away from 336000, it equals 322560. If you take 322560 divided by 350000, it equals 92.16%. This proves it is not linear, because if it was linear, the ending percentage would be exactly 92% since you took away 4% twice.

Answer:

4 inches.

Step-by-step explanation:

The height of a rectangle is reduced by Shawna to a size of 2 inches.

The original width of the rectangle was 24 inches and the height was 12 inches.

If the ratio of width to height remains the same, then we can find the new width.

If the new width is x inches then, we can write

[tex]\frac{x}{2} = \frac{24}{12}[/tex]

⇒ x = 4 inches. (Answer)

Answer:

the new width is 14

Step-by-step explanation:

original height 12

12-2= 10 (the amount that was taken away to get the new height)

24- 10= 14 ( the new width)

Answer:

Have some water and take a short break from the screen if possible, maybe get a few minutes of fresh air

First, and x-intercept at the origin simply means the line passes through 0, 0. On both graphs given we can, we can see that they do not touch 0,0. From the table as well, y at x = 0 does not equal 0. Finally, this leaves c(x). C(x) does pass through 0, 0.

Hope this helps!

Answer:

45 points in round 3

Step-by-step explanation:

x + 30 + 25 = 100

combine like terms

30+25 = 55

x + 55 = 100

  - 55     - 55

--------------------

x = 45

therefore, Amos scored 45 points in round 3

hope this helps! :D

have a MIRACULOUS day, and brainliest is immensely appreciated!! <3

Answer:

x = 45 points

Round 3 : 45 points

Step-by-step explanation:

Starting Information:

100 points = 3 rounds

Round 1 : 30 points

Round 2 : 25 points

Round 3 : x

Subtraction:

To find x we need to subtract 30 and 25 from 100

100 - 25 - 30 = x points

Combine -30 and -25 into -55

100 - 55 = x

100 - 55 = 45

In round 3 he scored 45 points

Addition:

To find x we need to add 30 + 25 + x and get a sum of 100

25 + 30 + x = 100

Combine 25 and 30

55 + x = 100

Subtract 55 from each side

x = 45

Here are the 2 expressions I used:

25 + 30 + x = 100

100 - 25 - 30 = x

Note:

My work is not number assigned but hopefully you can understand it :)

Answer:

180

Step-by-step explanation:

Answer:

x = cupcakes

y = cookies

3x + 1y ≥ 205

x cupcakes at $3 each plus y cookies at $1 each is greater than or equal to $205

Step-by-step explanation:

Answer: 11 represents the extra amount of money he gets.

Step-by-step explanation: I say this because for example, the 11 can represent how much money he gets for being present at work. 11 could also represent the extra money he earns.

The best interpretation of the number 11 in the equation is that 11 represents the extra amount of money he gets.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation.

Given data the amount of money M , in dollars, Paul earns can be represented by the equation M=12.5h+11, where h is the number of hours paul works.

Now , M=12.5h+11,

On comparing with striaght line equation we can say that the slope is 12.5

So, number 11 in the equation represents the extra amount of money he gets for being present at work.

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Answer:

parallel line: y=-3x+14

perpendicular line: y=1/3x +2/3

Step-by-step explanation:

For the parallel line, use the point-slope formula to find the equation of the parallel line (since the slope is the same as the given line and the point (4,2) is given. For the perpendicular line, use the opposite reciprocal of the slope of the given line and use the point-slope formula again. The point-slope formula is Y-Y1=m(X-X1)

Answer:

there y= -x - 3 is correct

Step-by-step explanation:

(-4,1) ; (-3,0)

y= -x - 3

with (-4,1)

1 = -(-4) - 3 = 4 - 3 = 1. left = right

with (-3,0)

0 = -(-3) - 3 = 3 - 3 = 0. left = right

so the line y = -x - 3 is passes through points (-4,1) and (-3,0)

Answer:y=16

Step-by-step explanation:

Answer:

Part of the time

Step-by-step explanation:

This is a linear line, meaning it is an infinite straight line. Part of the time it will be more than 0, part of the time it will be less than 0.

Answer:

Yes there would be a positive correlation on a graph.

Step-by-step explanation:

Say we use 0 as our X value. We get 4 as our Y value. Another example we can use is 10. We get 34 as our Y intercept.

Answer:

c = b/2 - 6

Step-by-step explanation:

let 'b' = amount Bo has

let 'c' = amount Craig has

c = b/2 - 6