you have decided to give your best friend a bag of
red and green marbles for his birthday. your friend
likes green marbles better than red ones, so the
bag has twice as many green marbles as red. The
label on the bag says it lcontains a total of 84 marbles.
How many green marbles are in the bag? Write a
System of equations for this problem. Then solve the
problem using any method you like. Be sure to check
your solutions

Answers

Answer 1

Answer:

There are 28 red marbles and 56 green marbles in the bag.

Step-by-step explanation:

Let's define:

R = number of red marbles in the bag.

G = number of green marbles in the bag.

We know that:

"There is a total of 84 marbles in the bag"

Then we can write this as:

R + G = 84

"The bag has twice as many green marbles as red marbles"

Then:

G = 2*R

So we have two equations:

R + G = 84

G = 2*R

This is the system of equations we need to solve.

To solve this, we usually start by isolating one of the variables in one of the equations, here we can see that G is already isolated in the second equation, then we can ignore the first step.

Now that we have an isolated variable, we can replace it in the other equation, then we can replace the second equation in the first one to get:

R + G = 84

R + (2*R) = 84

3*R = 84

R = 84/3 = 28

This means that there are 28 red marbles in the bag.

Now we can use the equation:

G = 2*R

To find the number of green marbles, where we need to replace R y 28, then we get:

G = 2*28 = 56

Which means that there are 56 green marbles.


Related Questions

1. The diameter of a circle is 8. what is the radius?

Answers

Answer:

Radius = 4

Step-by-step explanation:

r = d/2

r = 8/2

r = 4

Answer:

4

Step-by-step explanation:

The diameter of a circle is the length of a straight line from two opposite points on the circle. The radius is the length of a straight line from the middle to a point on the circle. This means that the diameter must be double the radius. So to find the radius, divide the diameter by 2. Since 8/2=4, the radius is 4.

If two angles are vertical, the sum of their measures is equal to the measure of a right angle true or false?

Answers

Step-by-step explanation:

False,

Vertical angles isn't always complementary l

Answer:

true

Step-by-step explanation:

If two angles are congruent, their measures are equal.

determine the domain and range of each graph use inequalities to write your answer​

Answers

Answer: Domain is all real numbers. And range is y≥ 3

Step-by-step explanation:

help please i’ll give extra points

Answers

Answer:

P would be reflected into quadrant 4.

Step-by-step explanation:

Answer:

Quadrant 4

Step-by-step explanation:

The quadrant under P is quadrant 4. Imagine putting a mirror on the x-axis, where would P be? It would be on the fourth quadrant, the quadrant underneath P.

Have a nice day!

can somebody help me with math I have 3 more questions OWO:

If Jeff drives 200 miles per hour in his race car, and this relationship is graphed, which ordered pair would not be on the graph?

1. (2, 400)
2. (0, 0)
3. (8, 1,600)
4. (5, 1,200)

please don’t steal all my points UwU :( :’)

Answers

4. If he had driven for 5 hours the X coordinate would be 1000.

The ordered pair would not be on the graph is (5, 1200)

The correct option is (4).

What is 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. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

If Jeff drives 200 miles per hour in his race car.

So, if we denote the distance by y and time by x then relation is

y = 200x

For x = 0

y=0

and, x= 2

y= 400

and, x= 8

y= 1600

and, x= 5

y = 1000

Hence, the point not on the graph is (5, 1200)

Learn more about Equation here:

https://brainly.com/question/29657983

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5 + (1/7)b = -2
what is b?

Answers

Answer: b=-1

Step-by-step explanation:

[tex]5+\frac{1}{7}b=-2\\\\5+\frac{1}{7}b=-2\\\\\frac{1}{7}b=-7\\\\b=-1[/tex]

nine divided by n plus two

Answers

Answer:

whats n?

Step-by-step explanation:

im guessing 9/1=9+2=11 idek bc u didnt give n

please help ll do anything just help me with this question on math:

Which of the following is not the same as positive 3?

1. 3 units to the left of 0 on a number line
2. the opposite of -3
3. +3
4. 3

what’s the awnser? 1,2,3, or 4

Answers

answer:

3 units to the left of 0 on a number line

step-by-step explanation:

your asking for the opposite of positive 3 which just means your looking for a negative 3 ( also written like this -3 )

and going left on a number line means going down on a number line so if your going into the negatives if you started at 0

here is a small number line to help me explain this better

<----|----|----|----|----|----|----|----|----|----|----|---->

    -5  -4  -3  -2   -1   0    1    2   3   4   5

                               *          ( the star is you and your starting off at the #0 )

           <|-(-1)-(-1)-(-1)-                     = -3 ( taking 3 jumps to the left )

                  *        

       ( and now the star is at -3 which was the number you needed )

i hope this helps you and if you need anything else then just tell me! :)

HELPPPPPPPPP MATH PLEASE

Answers

Answer: 14

Step-by-step explanation:

Answer:

12 units^2

Step-by-step explanation:

The triangle on the left has an area of 2, the square has an area of 4 and the triangle on the right has an area of 6.

Add these up to get 2+4+6 = 12

What number would make this problem many solutions?

Infinity many solutions :
10x+ ___ =2(5x+7)

2
5
7
14
17
20

Answers

Answer:

14

.........................

Answer:

14

Step-by-step explanation:

Distribute the right hand side of the equation to get 10x +14. To have infinitely many solutions, the left hand side would be the same so the answer is 14.

Leilani wants to make 8 placemats. For each placemat she needs 18 in of fabric. How many yards of fabric will she need for
the 8 placemats?

Answers

Answer:

144 yarns of fabric

Step-by-step explanation:

If 8 placemat =18 fabrics

then 8 p placemats=8x18

=144

Leilani wants to make 8 placemats. For each placemat she needs 18 in of fabric. Leilani will need 4 yards of fabric to make the 8 placemats.

To determine the amount of fabric Leilani will need for 8 placemats, we need to convert the given length from inches to yards.

Given:

Length of fabric needed for one placemat = 18 inches

To convert inches to yards, we divide the length in inches by 36 (since there are 36 inches in a yard).

18 inches / 36 = 0.5 yards

Therefore, for one placemat, Leilani will need 0.5 yards of fabric.

To find the total amount of fabric needed for 8 placemats, we multiply the fabric requirement for one placemat by 8:

0.5 yards/placemat * 8 placemats = 4 yards

Leilani will need 4 yards of fabric to make the 8 placemats.

To know more about  "yards."  here

https://brainly.com/question/24487155

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Full Question.

Leilani wants to make 8 placemats. For each placemat she needs 18 in of fabric. How many yards of fabric will she need for the 8 placemats?

( No graph Needed)

please help me ahh!!!!!! (question in picture)

Answers

Answer:

A. -3

Step by Step:

Answer: The answer is 1/3 hope it helps :)

what is 2/5 x 5/6
i need the answer in 3 minutes

Answers

1/3

...............

.

...........

Answer:

1/3

Step-by-step explanation:

The costs of a pack of noodles, a can of soda and a pack of bread buns are 120 Pesos, 45 Pesos, and 50 Pesos respectively. Brayden wants to buy x packs of noodles, y cans of soda, and z packs of bread buns.​

Answers

120x+45y+50z=C
This equation models this situation where C is the total cost

translated up 3 units and left 2 units

Answers

What are we trying to answer here lol

28,490 - 478.29 solve ​

Answers

Answer:

28,011.71

Step-by-step explanation:

1. Quadrilateral ABCD has AB = x+3 and CD= 5x –7. What is the length of x
for which the quadrilateral is a parallelogram?​

Answers

Answer:

x = 2.5

Step-by-step explanation:

since it's a parallelogram, AB = CD so:

x + 3 = 5x - 7

subtract x from each side of the equation:

3 = 4x - 7

add 7 to each side:

4x = 10

divide both sides by 4:

x = 2.5

daniel has x coins, paula has 2 time as many coins as Daniel​

Answers

Answer:

Paula = 2x coins

Step-by-step explanation: We don't know how many x is, but we know that whatever x is, Paula is going to have double that number of coins. Turn this explanation into an equation... 2x...

A student answered 43 questions correctly in a 53 questions test. What
percent is that?
Round your answer to the nearest whole.
%

Answers

Answer: 81%

Step-by-step explanation: I think i'm right

A rectangular poster has an area of 38 square feet. It is 4 3/4 feet wide at its base. What is the height of the poster

Answers

Answer: The height is 8

Step-by-step explanation:

4.75 x 8 = 32

Show your work and explain in a full sentence how
4 2/6 is equivalent to
3 8/6.

Answers

3 8/6 means 3 6/6 + 2/6
In simpler terms, 8/6 is a whole + 2/6, so 3 8/6 is 3 + 1 + 2/6, which is equivalent to 4 2/6

Answer:

Step-by-step explanation:

The reason why there the same is because if you simplify the fractions you get 1 1/3 from 4 2/6 and 3 8/6.

help please please do it quickly thxs

Answers

W is 2
3 is 21
5 is 35
What he said sounds correct ^^^^^^

WILL MARK BRAINLIST JUST HELP ME
What is the volume of the triangular prism?
A) 15 cm3
B) 18 cm3
C) 21 cm3
D) 24 cm3

Answers

Answer:

A

Step-by-step explanation:

What is the area of this figure?

Enter your answer as a decimal in the box.

Answers

Answer:

162

Step-by-step explanation:

18 + 63 + 81

Answer:

Step-by-step explanation:

Area of the parallelogram is A=hb and the area of the triangle is A=hb/2 so

A=9(11)+7(11)/2

A=137.5 cm^2

Triangle XYZ has vertices X(1, –1), Y(3, 4), and Z(5, –1). Nikko rotated the triangle 90° counterclockwise about the origin. What is the correct set of image points for triangle X’Y’Z’?

X’(1, 1), Y’(-4, 3), Z’(1, 5)
X’(1, 1), Y’(–3, –4), Z’(–1, –5)
X’(–1, 1), Y’(–3, –4), Z’(–5, 1)
X’(–1, –1),Y’(4, –3), Z’(–1, –5)

Answers

Answer:

When a figure is rotated counterclockwise about the origin, its original coordinates of point P (x,y) will now be positioned as P' (-y,x).

X (1,-1) --> X' (1,1)

Y (3,4) --> Y' (-4,3)

Z (5,-1) --> Z' (1,5)

The correct set of image points for triangle X'Y'Z' is X'(1,1), Y'(-4,3), and Z'(1,5).

Step-by-step explanation:

Triangle XYZ is rotated 90° counterclockwise, the new coordinate is X'(1, 1), Y'(-4, 4) and Z'(1, -5)

Transformation

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.

If a point A(x, y) is rotated 90° counterclockwise the new point is A'(-y, x).

Triangle XYZ is rotated 90° counterclockwise, the new coordinate is X'(1, 1), Y'(-4, 4) and Z'(1, -5)

Find out more on Transformation at: https://brainly.com/question/26092237

Find the area of the triangle. Enter your answer in the box.
3 m
8 m
m2
(Please help)

Answers

1/2Base×height

Step-by-step explanation:

1/2×8×3

=4×3

=12

x over 8 = 10?
i just need to solve for x

Answers

X =80 you just have to multiply 8x10

Does anyone know the answer to this?

Answers

Try photo math
It help u

A class of fourth graders decides to split into groups based on the first letter of their last names.then,they choose students from each group.what type of sampling is used?

A.Quota sampling

B.Volunteer sampling

C.Purposive sampling

D.Convenience sampling

Answers

Answer:

Volunteers sampling is correct answer

solve for n:
3n > 6. ​

Answers

Answer:

n > 2

Step-by-step explanation:

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