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? ​

Answers

Answer 1

Step-by-step explanation:

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Related Questions

Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution.
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5
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y = 32 - 4
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f
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1
3
2Y =
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5
=
27=
1
2
3
1
2
tems
293
1
5
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Do 4 problems

Answers

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

Help me please! I need help ill give brainliest

Answers

Answer:

26 1/4

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

You add up both fractions, sorry for the lazy explanation

can someone pls help me expand and simplify 2(3x+4) - 3 (4x-5)

Answers

Answer:

23 - 6x

Step-by-step explanation:

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

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

23 - 6x (combining like terms)


If l || m, find the value of x

Answers

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°

Shawna reduced the size of a rectangle to a height of 2 in. What is the new width if it was originally 24 in wide and 12 in tall?

Answers

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)

HELP WITH THESE 3 QUESTIONS (BRIANLIEST AND 50 POINTS) hint: question 1 is answered (NO LINKS)
Amos scored 100 points while playing 3 rounds of a game.
Round 1 : 30 points
Round 2 : 25 points
Round 3 : ?
How many points did he score in round 3?
Complete the steps to solve the problem

1. What do you need to solve for in this problem? Choose a variable to represent this unknown value. answer: Round 3 = x
x + 30 + 25 = 100


2. Using the variable you chose, write an equation to represent this situation. (Hint: You may want to put the number of points in each round on one side and the total number of points on the other.

3. Solve this equation to find how many points Amos scored in round 3. Show your work.

Answers

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 :)

Jada has p pennies and n nickels that add up to more than 40 cents. She has fewer than 20 coins altogether.

A. Write a system of inequalities that represents how many pennies and nickels that Jada could have.

Answers

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:

p + n < 200.01p + 0.05n > 0.40

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

_____________________________________________________

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

The first three terms of an arithmetic sequence are given. Find an expression for Tn in terms of n:
a, 2a, 3a

Answers

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:

Ummmm would 3x+4 be positive on a graph

Answers

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.

PLEASE HELP ME I AM STUCK AND I HAVE A HEADACHE I WILL GIVE BRAINLIST!!!!!!!

Answers

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!

Find the degree of this polynomial

z − 2

Answers

Answer:

1

Step-by-step explanation:

A large bowl and a small bowl both contain gems. of the gems in each bowl are red. All the gems from the two bowls are now put into a third bowl. What fraction of the gems in the third bowl will be red?

Answers

You don’t say how many of the gems in each bowl are red. With this information, all of the gems in the third bowl are red.

how many solutions does x squared= 4x -5 have

Answers

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.

The graph of a proportional relationship passes through (12, 16) and (1, y). Find y.

Answers

Answer:y=16

Step-by-step explanation:

Select the correct expression

r less than 52

Answers

Answer:

no because r is a varible that dont have number

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

What is Expression?

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.

To learn more on Expressions click:

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What percentage of 50 is 12?

Answers

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%

A person at rest typically takes 720 breaths in an hour.At this rate,how many breaths does a person take in 15 minutes?

Answers

Answer:

180

Step-by-step explanation:

Factor 42x+28y using the GCF

Answers

Answer:

14 (3x+2y)

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

Write and solve a system of THREE inequalities that models the situation below.
Terrence is going to make and sell cupcakes and giant cookies as a fundraiser to earn money for his bank uniform. He sells the cupcakes for $1.25 each and the cookies for $0.75. He knows he will sell at least 10 cupcakes and 24 cookies. He wants to make at least $50. Find a possible combination of cupcakes and cookies he needs to sell to meet his goal.

Answers

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:

WILL GIVE BRAINLIEST
Write the sentence below as an equation or inequality.

Craig has six less than half of the amount of dollars Bo has.

Group of answer choices

x
=
y
2

6


x
=
6

y
2


x
=
2
y

6


x
=
6

2
y

Answers

Answer:

c = b/2 - 6

Step-by-step explanation:

let 'b' = amount Bo has

let 'c' = amount Craig has

c = b/2 - 6

PLs HELP I HAVE A HEADACHE I WILL GIVE BRAINLY

Answers

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!


How do I solve this

Answers

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

You are to paint the globe held aloft by a statue of Atlas. The diameter of the globe is 10.5 in. How much surface area must you cover with paint if 27 square inches does not need to be painted (to the nearest hundredth)?

Answers

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.

Write an equation of the line that passes through the given point and is (a) parallel and (b)
perpendicular to the given line

Answers

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)

Which of the following is true of the location of the terminal side of an angle, Theta, whose sine value is One-half? Theta has a reference angle of 30° and is in Quadrant I or II Theta has a reference angle of 30° and is in Quadrant I or IV Theta has a reference angle of 60° and is in Quadrant I or II Theta has a reference angle of 60° and is in Quadrant I or IV.

Answers

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.

The true location of the terminal side of the angle θ is given by the option; Theta has a reference angle of 30° and is in Quadrant I or II.

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

Given that the value of sin(θ) is positive, we have θ is in Quadrant I or 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.

Learn more about trigonometric ratios here:

https://brainly.com/question/2398899

Answer:

a

Step-by-step explanation:

edge

Solve (x 3)2 (x 3) â€"" 2 = 0. Let u =.

Answers

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?

Learn more on factorization here: https://brainly.com/question/25829061

Which situation is NOT a linear function?
A. A video subscription service which charges $7.99 a month
B. A factory worker that gets paid $19 an hour
C. A $350,000 house that depreciates 4% per year
D. A gym membership that charges $7 when joining, and $12 a month

Answers

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.

A barrel contained 100 gallons of water. Water leaked out of the barrel at a rate of 4 gallons every
5 days. At this rate, how many days did it take for all 100 gallons of water to leak out of the
barrel?
H 20 days
E 125 days
F 25 days
L 80 days

Answers

Answer: It will take 125 day

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

Which of the following is the equation in slope-intercept form for the line that passes through points (- 4, 1) and \ -3,0\; y = - x + 5; y = - x - 3; y = x + 2 None of these choices are correct

Answers

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)

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. which answer is the best interpretation of the number 11 in the equation

Answers

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.

What is an Equation?

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.

To learn more about equations click :

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