2. A set of barbells consist of red and blue discs. Discs with the same color have the same mass. Using a balance,
Lia found that 7 blue discs balance 1 red disc and a 5kg mass, while 2 blue discs and a red disc balance a 4kg
mass. Find the masses of the red and blue discs. (2kg, 1kg)

Answers

Answer 1

Let r be the mass of a red disc and b the mass of a blue disc.

7 blues have the same mass as 1 red along with a 5 kg mass, so

7b = r + 5

7b - r = 5

2 blues and 1 red have the same mass as a 4 kg mass, so

2b + r = 4

Solve for b and r . Notice that adding the equations together eliminates r :

(7b - r) + (2b + r) = 5 + 4

9b = 9

b = 1

Then

7 • 1 - r = 5

r = 7 - 5

r = 2

So each red disc has a mass of 2 kg, and each blue disc has a mass of 1 kg.


Related Questions

Raj made a profit of $890 selling T-shirts. He wants to share the profit equally among three charities. How much should he give to each charity?

Answers

Answer:

890/3 thats the anwser

Step-by-step explanation:

1.What is the slope of the line?
(simplify your answer)

2. What is the value of a?

3. What is the value of b?

4. What is the y-coordinate when x = 0?

Answers

Answer:

1. slope is 2

2. a is 5

3. b is 6

4. 0

Step-by-step explanation:

Which graph shows the solution to the inequality −2(2x+3)≤26?

Answers

Answer:

x≥−8

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

−4x−6≤26

Step 2: Add 6 to both sides.

−4x−6+6≤26+6

−4x≤32

Step 3: Divide both sides by -4.

−4x/−4 ≤ 32/−4

x≥−8

What is the domain and range please?

Answers

Answer:

domain is the max and min x values

range is the max and min y values

Step-by-step explanation:

In its simplest form the domain is all the values that go into a function, and the range is all the values that come out.

ABC is a central angke in a cirvle with center B. The length of the radius is 13 km and m

Answers

Answer:

[tex]\frac{1170pi}{360m}[/tex]km

Step-by-step explanation:

To find the length of the minor arc, you find the circumference of the circle multiplied by the arc angle, which is [tex]\frac{45}{m}[/tex] over 360 degrees.

Circumference of the circle with center B = 13×2×pi

                                                                     = 26pi

Length of minor arc = 26pi × [tex]\frac{45}{m}[/tex] ×[tex]\frac{1}{360}[/tex]

                                 = [tex]\frac{1170pi}{360m}[/tex]km

What number needs to be in the blank for this system to have an infinite number of solutions?
y = -3x + 1
6x + 2y = ?

Answers

Answer:

? = 2

Step-by-step explanation:

Given:

y = -3x + 1

6x + 2y = ?

Slope-intercept form:

6x + 2y = a

y = a/2 - 3x

y = -3x + a/2

or y = -3x + 1/2a

Go back to given equations:

y = -3x + 1

y = -3x + 1/2a

y = y

-3x + 1  = -3x + 1/2a

1 = 1/2a

a = 2

The answer is: a = 2

Hope this helps! Happy holidays:)

Choose the parabola that represents the trinomial below by finding the
correct vertex.
x2 + 7x + 12

Answers

This is the correct parabola:)

Solve -14=p - 11. Which statement shows the correct justification for the step used to solve the equation? Add 14 to each side. Add 11 to each side Subtract 14 from each side Subtract 11 from each side​

Answers

Add eleven to each side

Answer: 47

Step-by-step explanation: I’m not in high school so how would I know I just want to get brainly points

A unicorn daycare center requires there to be 2 supervisors for every 18 baby unicorns. Write an equation that shows the relationship between nnn, the number of supervisors, and uuu, the number of baby unicorns. Please note that this is a magical daycare center, so fractional supervisors are allowed.

Answers

Answer:

n = (1/9)u

Step-by-step explanation:

This is a direct variation relationship of the form

n = ku

For n = 2, u = 18.

2 = k * 18

We solve for k.

k = 2/18

k = 1/9

Now we use k in the equation of the relationship.

n = (1/9)u

Find the y-intercept of the line on the graph.
Enter the correct answer

Answers

-3 is the y-intercept!

How many isosceles triangles with whole-number length sides have a perimeter of 20 units?

Answers

Answer:

There are 9 possible isosceles triangles

Step-by-step explanation:

Inequalities

Let's consider an isosceles triangle with equal side lengths x and unequal side y.

The perimeter of that triangle is:

P = x + x + y =2x + y

The perimeter has a fixed value of 20 units, thus:

2x + y = 20

Solving for y:

y = 20 - 2x

The solutions of this equation have two restrictions:

* Both x and y must be positive

* Both x and y are integer (whole) numbers.

The first restriction leads to inequality:

20 - 2x > 0

Solving for x:

x < 10

Since x must also be positive, only the following numbers are valid solutions for x: {1,2,3,4,5,6,7,8,9}

There are 9 solutions for x, giving this set of 9 solutions for y: {18,16,14,12,10,8,6,4,2}

Thus, there are 9 possible isosceles triangles

What is the value of 2/11 divided by 3/11? *
5 points
6/121
2/3
3/2
121/6

Answers

Answer:

the answer is 2/3

Step-by-step explanation:

(2/11)/(3/11)=2/3

Answer:

Exact Form:

2 /3

Decimal Form:

0. 6 repeating

Step-by-step explanation:

What are the points of intersection between the graphs of the functions
f(x) = x²(x + 1) and g(x) = x + 1?

Answers

Answer:

(x1,y1) = (1, 2)

(x2,y2) = (-1,0)

Step-by-step explanation:

Given: f(x) = x²(x + 1) and g(x) = x + 1

To find the intersection, then set functions equal to each other to solve for x first.

x²(x + 1) =  x + 1; divide by (x+1) from both sides

[tex]x^{2}[/tex] = 1; take the square root to both sides

x = ±1;

The graphs intersect at two points (x1,y1) and (x2,y2)

Use x=1

f(1) = x²(x + 1) = [tex]1^{2}[/tex](1+1) = 2

g(1) = x + 1 = 1 + 1 = 2

(x1,y1) = (1, 2)

Use x= -1

f(-1) = x²(x + 1) = [tex](-1)^{2}[/tex](-1+1) = 0

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

(x2,y2) = (-1,0)

The points of intersection of two functions are required.

The points of intersection are [tex](-1,0)[/tex] and [tex](1,2)[/tex].

The given functions are

[tex]f(x)=x^2(x+1)[/tex]

[tex]g(x)=x+1[/tex]

Equating them with each other

[tex]x^2(x+1)=x+1\\\Rightarrow x^2=\dfrac{x+1}{x+1}\\\Rightarrow x^2=1\\\Rightarrow x=\pm 1[/tex]

Substitute the [tex]x[/tex] value in one of the functions.

[tex]x=1[/tex]

[tex]f(1)=1(1+1)=2[/tex]

[tex](1,2)[/tex]

[tex]x=-1[/tex]

[tex]f(-1)=(-1)^2(-1+1)=0[/tex]

[tex](-1,0)[/tex]

The points of intersection are [tex](-1,0)[/tex] and [tex](1,2)[/tex].

Learn more:

https://brainly.com/question/16276433

https://brainly.com/question/11604425

plz help asap i need the right answer who ever is right get brainiest

Answers

X=18

Step-by-step explanation:

Please help I can need and I am taking the final in fat

Answers

Answer:

This triangle is asking for the opposite side. We are given the hypotenuse and theta (28°.) Sin is opposite over hypotenuse.

Answer:

x=7.51

Step-by-step explanation:


Mae Ling earns a weekly salary of $390 plus a 5.0% commission on sales at a gift shop.
How much would she make in a work week if she sold $4,100 worth of merchandise?

Answers

Answer:

$595 dollars in a week

Step-by-step explanation:

We know that Mae Ling earns $390 per week plus sales commissions of 5.0%, if we express this would be: (x refers to sales)

[tex]Earnings = $390 + 0.050x[/tex]

So, it would be:

[tex]Earnings = $390 + 0.050(4100) = $595[/tex]

f(x) = 24
g(x) = x2 + 3x – 3

Answers

Answer:

Step-by-step explanation:

24

x

2

+

72

x

72

There are 12 pieces of candy in Miguel's Halloween bag. 3 are Reese's, 4 are M&M's, 3 are lollipops and 2 are sour gummy worms. What is the ratio of Reese's to the total number of pieces of candy in the bag and is this a part to part, part to whole or whole to part relationship?

Pick the correct answer

1. 3:12 part to part
2. 12:3 part to part
3. 3:12, part to whole
4. 12:3 part to whole

don’t use this question for points plz!

Answers

Answer:

3. 3:12 part to whole

Step-by-step explanation:

because there are 3 Reese's & 12 pieces of candy in total so it would be part of the candy to the entire bag of candy.

Which angles are corresponding angles?

Answers

Answer:

I and H

Step-by-step explanation:

WILL MARK BRAINLIEST TO THE FIRST CORRECT ANSWER GIVEN!! pls help ASAP

Answers

Answer:

b = [tex]\frac{2}{9}[/tex]

c = [tex]\frac{4}{9}[/tex]

Step-by-step explanation:

There are two 6 on the board out of 9 numbers

There are four numbers greater than 10 out of the nine possiblilites

given the graph g(x), find g(-6) ​

Answers

Answer:

+2

Step-by-step explanation:

Draw a vertical line through x = -6.  Determiene the corresponding y-value.  It is +2.  This is g(-6).

The value of the function g(x) when x = - 6, g(-6) is 2.

What is a function?

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A function g(x).

Now, The value of the function g(-6) is the same as the value of the y-coordinate when the x-coordinate is - 6.

From the graph, we observe that when x = - 6, y = 2.

So, The value of g(-6) = 2.

learn more about functions here :

https://brainly.com/question/12431044

#SPJ2

Which equation matches the story: Elena spends $17 and buys a $3 book and a bookmark for each of her 5 cousins. How much does each bookmark cost?

3(x+5)=17

3x+5=17

5(x+3)=17

5x+3=17

Answers

Answer:

$2.80

Step-by-step explanation:

17-3=14

14 divided by 5=

2.8

Add 0 since it's about money.

$2.80

Please Answer ASAP
Evaluate the expression for m = 8, n = 11, and p = –3.
what is mp − m − n =

Answers

Answer:

-43

Step-by-step explanation:

m=8, n=11, and p=-3

mp=8x-3=-24

-24-m=-24-8=-32

-32-n=-32-11=-43

A new food delivery robot on a college campus is doing test runs at a constant speed of 4 miles per hour. The average test run is 3 miles from the campus cafeteria but varies a distance of 1.5 miles more or less than that. If x is the number of hours the robot is performing a test run, the equation that can be used to find the minimum and maximum time (in hours) for a test run is ____. For each test run, the minimum time is ____ hours and the maximum time is ____ hours.

Answers

Answer:

For each test run, the minimum time is 45 mins  or 3/4  ____ hours

and the maximum time is 67.5 minutes or 1 hour 7.5 minutes.

Step-by-step explanation:

If x is the number of hours the robot is performing a test run, the equation that can be used to find the minimum and maximum time (in hours) for a test run is  15 mins for 1 mile

For 4 miles the time is 1 hour

For 1 miles the time will be 1/4 hour

For 3 miles the time will be 3/4 hours

and for 4.5 miles the time will be 4.5/4 hours

Now reversing

1 hour = 4miles

15 mins= 1 mile

45 mins = 3 miles

30 mins = 2 miles

67.5 min= 4.5 miles

For each test run, the minimum time is ____ hours

the minimum distance is 3 miles and time taken is 45 mins

and the maximum time is ____ hours.

The maximum distance is 3+ 1.5= 4.5 miles and time taken is 67.7 minutues or 1 hour 7.5 minutes.

1 litre of a liquid P has a mass of p grams. 1 Litre of a liquid Q has a mass of q grams. A liquid R is made by mixing a volume of liquid P with a volume of liquid Q in the ratio 3:7. Find an expression, in terms of p and q, for the mass of 50 litres of liquid R

Answers

Answer:

mass of 50 L of R = 15p + 35q

Step-by-step explanation:

1L of P = p g

1L of Q = q g

R = 3P + 7Q

total = 10

P = 3/10 R

Q = 7/10 R

R = 50 L

50 L × 0.3 = 15 L the amount of P in L

15 L of P = 15p g

35 L 0f Q = 35 q g

then

mass of 50 L of R = 15 p + 35 q grams

A boat travels with velocity vector (25, 25 StartRoot 3 EndRoot). What is the directional bearing of the boat?

Answers

Answer:

The directional earing is N 30° E

Step-by-step explanation:

The given velocity vector is (25, 25·√3), therefor, we have;

R = 25·i + 25·√3·j

The angle of inclination of the direction of the boat with the horizontal = Arctan (y/x)

Where;

(x, y) = The coordinate of the components of the velocity of the boat

Therefore;

Arctan (y/x)  =  Arctan (25·√3/25) = Arctan (√3) = 60° North of East

The directional bearing which is the bearing relative to the northern direction is given as follows;

The directional earing = 90° - 60° = N 30° E.

Answer:

A on Egde

Step-by-step explanation:

i got it right

Which ordered pair does NOT lie on the graph of h(x) = -2x + 7?

A(-1,9)
B(-2,3)
None of the other answers are correct C(3, 1)
D (4,-1)​

Answers

(-2,3) does not lie on the graph of h(x)=-2x+7

Help I have 7 minutes

Answers

Answer:

c. is your answer dear.

Step-by-step explanation:

By SSS theorem which is Side Side Side.

Hope you got it.

what is the solution of the equation 4.5 - 6s=9

Answers

Answer:

s = -0.75

Step-by-step explanation:

Maria earns an hourly wage of $10. She drew the following graph to show the relation of her income as a function of the hours she works. How did she modify the function y = x to create her graph?

Answers

y = 10x this is the answer
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