A bag contains green marbles and red marbles, 42 in total. The number of green
marbles is 6 more than 5 times the number of red marbles. How many green marbles
are there?​

Answers

Answer 1

Answer:

The number of green marbles are 36.

Step-by-step explanation:

Given:

Total number of marble bag contains is 42.

The number of green marbles is 6 more than 5 times the number of red marbles.

Let the number of red marbles be [tex]x[/tex].

So, the number of green marbles = [tex]6+5x[/tex]

Now, to get the number of green marbles.

According to question:

[tex]x+(6+5x)=42[/tex]

[tex]6x+6=42[/tex]

Subtracting 6 in both sides :

[tex]6x+6-6=42-6[/tex]

[tex]6x=36[/tex]

Now, by dividing 6 on both sides:

[tex]6x\div 6=36\div 6[/tex]

[tex]x=6[/tex]

The number of red marbles are 6.

And, the number of green marbles are [tex]6+5x[/tex]

                                                                 = [tex]6+5\times 6[/tex]

                                                                 =[tex]6+30[/tex]

                                                                 = [tex]36[/tex]

Therefore, the number of green marbles are 36.


Related Questions

describe the location of the point having the following coordinates

Answers

Answer:

Step-by-step explanation:

What are the coordinates????


In the lab, Teresa has two solutions that contain alcohol and is mixing them with each other. She uses 4 times as much
Solution A as Solution B. Solution A is 17% alcohol and Solution B is 12% alcohol. How many milliliters of Solution B does
she use, if the resulting


mixture has 560 milliliters of pure alcohol?
Number of milliliters of Solution B:

Help

Answers

Final answer:

By setting up a system of equations to represent the mixing of solutions and the amount of alcohol present, we find that Teresa uses approximately 80 milliliters of Solution B.

Explanation:

In the lab, Teresa is mixing two solutions, A and B, with Solution A used 4 times as much as Solution B. Solution A consists of 17% alcohol and Solution B consists of 12% alcohol. In the question, we know that the resulting mixture contains 560 milliliters of pure alcohol. To find out how many milliliters of Solution B we need, we can set up a system of equations based on the given situation:

The total volume of Solution A and B is x + 4x = 5x The amount of alcohol comes from: 0.17*4x (from Solution A) + 0.12*x (from Solution B) = 560ml

From these two equations, we can solve for x, which represents the amount of Solution B. This gives us x ~= 80 milliliters. This means Teresa uses approximately 80 milliliters of Solution B.

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Final answer:

To find the volume of Solution B that Teresa uses, we set up an equation using the given alcohol percentages and the total alcohol volume in the mixture. Solving the equation, we find that Teresa uses 700 milliliters of Solution B.

Explanation:

To solve this problem, we can use the concept of proportions and weighted averages to determine the quantity of Solution B. Let's denote the volume of Solution B as VB and therefore, the volume of Solution A is 4VB because we are given that Teresa uses 4 times as much Solution A as Solution B.

According to the alcohol percentages, we can write the following equations:

Solution A (17% alcohol): 0.17 × 4VB

Solution B (12% alcohol): 0.12 × VB

The total volume of alcohol in the resulting mixture is 560 milliliters, which is the sum of alcohol from both solutions:
0.17 × 4VB + 0.12 × VB = 560

Combining like terms, we obtain a single equation:
0.68VB + 0.12VB = 560

This simplifies to:
0.80VB = 560

Now, solving for VB:
VB = 560 / 0.80

After calculating, we get:
VB = 700 milliliters

Hence, Teresa uses 700 milliliters of Solution B.

A salesperson earns 4% commission on furnace sales. What is the commission that the salesperson earns on the sale of $33,000 worth have furnaces? Suppose the salesperson doubles his sales of furnaces. What would be true about the commission? Explain without using any calculations.

Answers

The commission that the salesperson earns on the sale is $1320

The commission would be double when he doubles his sales of furnaces

Step-by-step explanation:

The given is:

A salesperson earns 4% commission on furnace salesThe furnace sales have worth $33,000

We need to find the commission that the salesperson earns

∵ The salesperson earns 4% commission on furnaces sale

∵ The furnaces sale have worth $33,000

- Find the 4% of 33,000

∴ The salesperson earns 4% of 33,000

∵ 4% × 33,000 = [tex]\frac{4}{100}[/tex] × 33,000 = 1320

∴ The salesperson earns $1320

The commission that the salesperson earns on the sale is $1320

∵ The salesperson doubles his sales of furnaces

∴ The commission would be double

That because the commission is a constant percent from his sales of furnaces, so if the amount of his sales of furnaces doubles , then his commission also doubles, it is a direct proportion relationship

Commission = constant (4%) × amount of furnaces sale

The commission would be double when he doubles his sales of furnaces

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945 divided by 6.6
[tex]945 \div 6.6[/tex]

Answers

143.1818 is the answer

Answer:

143.1818

Step-by-step explanation:

(30 POINTS) see image and evaluate

Answers

Answer:

1/400

Step-by-step explanation:

i put it in the calculator and got 1/400

Answer:

I believe it's 1/400 or 0.0025

the ratio to staff to guests at the gala was 3 to 5 . there was a total of576 oeople in the ball room .how many guests were at the gala​

Answers

There were 360 guests and 216 staffs at the gala

Mr. Rivona bought 5 pounds of
bananas for $0.45 per pound
How much did she spend in all​

Answers

Answer:

2.25

Step-by-step explanation:

5*.45=2.25

The Roasted Bean charges
$17,00 per pound for Fair Trade Organic Mexican
coffee and $15.00 per pound for Fair Trade Organic
Peruvian coffee. How much of each type should be
used to make a 28-lb blend that sells for $16.00 per
pound?

Answers

Answer:

14 pounds of each type should be used to make a 28 pounds blend that sells for $16 per pound.

Step-by-step explanation:

The Roasted Bean charges $17 per pound for Fair Trade Organic Mexican coffee and $15 per pound for Fair Trade Organic Peruvian coffee.

Let x pounds of Mexican coffee and y pounds of Peruvian coffee are mixed to prepare a 28 pounds blend that sells for $16 per pound.

So, x + y = 28 ........... (1)

Again, [tex]\frac{17x + 15y}{x + y} = 16[/tex]

⇒ 17x + 15y = 16x + 16y

x = y .......... (2)

Now, from equation (1) we have 2x = 28

x = 14 pounds  

And y = 14 pounds. (Answer)

WILL POSSIBLY MARK BRAINLIEST IF GOOD ANSWER!!!

The table shows the number of desks in each classroom
at three different schools. Which expressions represent the total number of desks? Select all that apply.



Thanks**!​

Answers

Answer:

Hahahahahaha how we Answer without any options

Answer: a, c, and d

Step-by-step explanation:
for anybody that needs it now ^^

it says the total number of all the desks from all classrooms and schools
a. 2 x (12 x 35) + 15 x 20) -- correct

b. 2 x (12 + 12 + 15) -- incorrect

c. (2 x 12) x 25 + 15 x 20 -- correct

d. 15 x 20 + (2 x 12) x 25 -- incorrect

why is b incorrect?
b says 2 times 12 + 12 + 15 --- 2 x (12 + 12 + 15) only shows two times the number of classrooms -- not the total number of desks from each classroom in each school (i cant english im sorry)

Determine the value of y in proportion 6 y - 10 / 5 + 7 y equals 1/2

Answers

Answer:

The value of y is  [tex]\frac{5}{26}[/tex]  .

Step-by-step explanation:

Given expression as :

6 y - [tex]\frac{10}{5}[/tex] + 7 y =  [tex]\frac{1}{2}[/tex]

or, 6 y - 2 + 7 y =   [tex]\frac{1}{2}[/tex]

Or, 13 y = [tex]\frac{1}{2}[/tex] + 2

Or, 13 y =  [tex]\frac{5}{2}[/tex]

So, y =  [tex]\frac{5}{2\times 13}[/tex]

Or, y =   [tex]\frac{5}{26}[/tex]

Hence the value of y is  [tex]\frac{5}{26}[/tex]  . Answer

Simplify this expression.

m13 × m6 =

Answers

Answer: 78m^2

Step-by-step explanation:

multiply coefficients and variables

m13 x m6 = 78m^2

Answer:

78m

Step-by-step explanation:

Since the variables are alike, you would just multiply them as you would do a normal multiplication problem! I used to have so much trouble with this omg. Anyway, 13x6=78 so the answer would be 78m

Betty has $15 to buy plants for her greenhouse. Each plant costs $6. How
many plants can she buy? Do not include units in your answer.

Answers

Answer:

2

Step-by-step explanation:

If 15 dollars is what she has. you take 6 for one plant away from that 15 to become 9. Then she can buy one more. 2 plants now for 12 dollars. since she only has 3 left, she can't buy another.

Answer:

the answer to your qestoin is 2

Denita has 4 coins. If Denita flips all the coins at once, how many outcomes are in the sample space?

Answers

There are 16 outcomes. You’d multiply the number of coins there are (4) by itself (4) and get 16.

Answer:

16

Step-by-step explanation:

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< BACK TO HOMEPAGE - NORTHWEST CLASSEN NS ALGEBRA I S1 CR 2019-2020
What is the value of
What is the value of g( – 3) when g(x) = 2x – 22
when
Enter your answer in the box.
g(-3) =

Answers

Answer: [tex]g(-3)=-28[/tex]

Step-by-step explanation:

For this exercise it is important to remember the multiplication of signs:

[tex](+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(-)(+)=-[/tex]

You have the following function g(x) provided in the exercise:

[tex]g(x) = 2x - 22[/tex]

The problem asks to find the value of [tex]g(-3)[/tex]. In order to find it, you need to substitute [tex]x=-3[/tex] into the function g(x):

[tex]g(-3) = 2(-3) - 22[/tex]

The final step is to evaluate.

Applying this procedure, you get that the value of [tex]g(-3)[/tex] is:

[tex]g(-3) = -6 - 22\\\\g(-3)=-28[/tex]

Tyler is going on a hiking trip . At the end of the first day he has 5,250 feet left to climb . He plans to climb 500 feet each day

Answers

Answer:

12 days

Step-by-step explanation:

At the end of the first day he has the distance left to climb = 5,250 feet

He plans to climb the distance each day = 500 feet

Number of days to complete his trip = [tex]\frac{5,250}{500}[/tex]

                                                             = 10.5 ≈ 11 days

He has already climbed for one day, so he will finish his trip in 1 + 11  = 12 days.

The expression 4x^2-px-7 leaves a remainder of -2 when divided by (x-3) find the value of p

Answers

The expression 4x^2-px-7 leaves a remainder of -2 when divided by (x-3). Then the value of p is 10.33

Solution:

Given the expression is [tex]4x^2 - px - 7[/tex] leaves a remainder of -2 when divided by (x-3)

To find: value of p

x - 3 = 0

x = 3

Let [tex]g(x) = 4x^2 - px - 7[/tex]

Hence we can say,

g(3) = -2

Substitute x = 3 in g(x) we get,

[tex]g(3) = 4(3)^2 - p(3) - 7\\\\-2 = 4(3)^2 - p(3) - 7[/tex]

On solving we get,

-2 = 4(9) - 3p - 7

-2 = 36 - 3p - 7

3p = 36 - 7 + 2

3p = 31

[tex]p = \frac{31}{3} = 10.33[/tex]

Thus the value of p is 10.33

Select the correct answer.
Which of the following correctly matches the banking term with the appropriate definition?
A. A deposit is the total amount of money you have in the bank.
B. A withdrawal is an amount of money you take out of the bank.
C.
Your balance is the money you put into the bank.
D.
All of the above
Reset
Next

Answers

Answer:

B. A withdrawal is an amount of money you take out of the bank.

The right answer is b

The circumference of a circle is 44 inches. What is the area? (Use 22 for pie.)

Answers

To solve for the circumference of a circle, you need to know the equation: 2πr (Normally, pi is 3.14 but since we're supposed to use 22, so be it).

The equation for the area, on the other hand, is πr^2. In order to solve for the area, we need to solve for the radius first.

Since we know the circumference is 44 inches, we can form an equation:
2πr = 44

Since π is 22:
2(22)r = 44

Simplify:
44r = 44

Divide both sides by 44:
r = 1

Now that we know the radius, we can input it into the equation for the area.

πr^2 = π*1^2 = π*1
Since π is 22:
22*1 = 22

The area of the circle is 22 in^2.
-T.B.



6x − y + z = −3
4x − 3z = −13
2y + 5z = 15
Find the solutions?

Answers

Answer:

The solution of the equation are x = - 1 , y = 0 and z = 3

Step-by-step explanation:

Given three linear equation as :

6 x - y + z = - 3        ......A

4 x - 3 z = - 13           ......B

2 y + 5 z = 15            ......C

Solving eq A and C

I.e 2× (6 x - y + z ) = -3 ×2

or, 12 x - 2 y + 2 z = - 6

So, ( 12 x - 2 y + 2 z ) + ( 2 y + 5 z) = - 6 + 15

Or,  12 x + 7 z = 9         ......D

Solving eq B and D

I.e 3 × ( 4 x - 3 z ) = - 13 × 3

or, 12 x - 9 z = - 39

So, (   12 x + 7 z ) - ( 12 x - 9 z ) = 9 + 39

or,  16 z = 48

∴   z = [tex]\frac{48}{16}[/tex]

i.e  z = 3

put the value of z in eq D

So, 12 x + 7×3 = 9  

Or, 12 x = 9 - 21

or,  12 x = - 12

∴   x = -  [tex]\frac{12}{12}[/tex]

I.e  x = - 1

Now, Put The value of z in eq C

or, 2 y + 5 z = 15    

or,  2 y + 5 × 3 = 15

Or,  2 y = 15 - 15

or,  2 y = 0  

∴  y = 0

Hence The solution of the equation are x = - 1 , y = 0 and z = 3  Answer

Select all of the ratios that are equivalent to 4 to 7

Answers

Answer:

4/7= 12/21- mutiply the fraction by 3

(4)(3)/(7/(3)= 12/21

4/7= 16/28 - mutiply by 4

4/7= 20/35- mutiply by 5

Final answer:

Equivalent ratios are those that when reduced yield the same value. Any ratios that when reduced become 4/7 are equivalent to the ratio 4 to 7. An example is 8 to 14.

Explanation:

In mathematics, two ratios are equivalent if the fractions they represent are equal. For your question, you are asked to find all ratios that are equivalent to the ratio 4 to 7. Essentially, you need to find ratios where when reduced will become 4/7 or we can upscale the values while maintaining proportions. For instance, if we multiply both numbers in the ratio 4 to 7 by 2, we get the ratio 8 to 14. These two ratios are equivalent because 4/7 = 8/14.

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HOBBIES Tawa wants to increase her rock collection by a power of three this year and
then increase it again by a power of two next year. If she has 2 rocks now, how many
rocks will she have after the second year?

Answers

Answer:

64

Step-by-step explanation:

Multiply 2 by itself three times, which gives you 8. Multiply 8 by itself twice, which gives you 64.

Final answer:

Tawa will multiply her initial 2 rocks by 3 in the first year, giving her 6 rocks.

In the second year, she multiplies the 6 rocks by 2, which results in a total of 12 rocks after two years.

Explanation:

To solve how many rocks Tawa will have after two years, we follow two steps of exponential growth.

Initially, she has 2 rocks.

After the first year, her collection will increase by a power of three, which means we will multiply 2 by 3 to find the new total:

2 rocks × 3 = 6 rocks.

After the second year, the number of rocks is going to increase by a power of two.

We then take the new total from the first year and multiply it by 2:

6 rocks × 2 = 12 rocks.

So after increasing her collection by a power of three in the first year, and then by a power of two in the second year, Tawa will have a total of 12 rocks

Factor the expression X2+4X +4

Answers

Answer:

2(3+2x)

Step-by-step explanation:

Answer:

(X + 2)^2

Step-by-step explanation:

Factor using the perfect square rule

Hope this helps.

PLEASE, consider brainliest. I only have one left and then my rank will go up.

please help wit all the questions!! leave explanation below thanks!

Answers

Answer:

4. The relationship is proportional because, for every 12 students, there is one chaperone and when you multiply 12 by the number of chaperones you get the same numbers that the table shows.

1. the relationship is proportional.

45/1= 45

45/2 = 90

45/3 = 135

45/3 = 180

2. the constant of 2 is 10. the constant of 3 is 2.

the relationship between x and y is that x divided by y equals the constant.

4. x divided by y equals the constant, or

x÷y=c(constant)

hope that helps and sorry for taking so long

What information can be used to compare linear
relationships? Explain why.

Answers

Answer:

Step-by-step explanation:

The slope and the y intercept (you can tell there linear if the slope is the same and the y-intercepts are different).

Answer:

Information from dependent and independent variables.

Step-by-step explanation:

Information from dependent and independent variables and how they are related to each other. A relationship is linear only is every ordered pair is related by the same number, which is represented by the slope.

twice the difference of a number and 4 is less than the sum of the number and five. Solve please

Answers

Answer:

[tex] - 2x + 4 < x + 5 \\ - 2x - x < 5 + 4 \\ - 3x < 9 \\ x = - 3[/tex]

hope this helps you

After solving the inequality, the value obtained will be equal to x < 9.

What is inequality?

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.

As per the given information in the question,

The given statement is,

Twice, the difference between a number and 4 is less than the sum of the number and five.

In mathematical form, it can be written as:

Let the unknown number be x.

2x - 4 < x + 5

Let's solve the equation for x.

2x - x < 5 + 4

x < 9

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realize the following operations in order for the response to be in a+bi:

[tex] \frac{4 + 2i}{1 - 3i} [/tex]

Answers

Answer:

(7i-1)/5

Step-by-step explanation:

(4+2i)/(1-3i)

the opposite of 1-3i is 1+3i

multiply that

[(4+2i)(1+3i)]/[(1-3i)(1+3i)]

=[(4+2i+12i+6i^2)]/[(1-3i+3i-9i^2)]

=[(4+14i+6(-1))]/[(1-9(-1))]

=(4+14i-6)/(1+9)

=(-2+14i)/10

factor out the 2,

[-2(1-7i)]/10

-(1-7i)/5

(-1+7i)/5

(7i-1)/5

Remember that i^2=-1, because sqrt(-1)*sqrt(-1)=-1.

I need the answer pls

Answers

Answer:

A

Step-by-step explanation:

To rite the equation of the function, take two points from the table. Let them be (1,21) and (3,15).

The slope of the function is

[tex]\dfrac{21-15}{1-3}=\dfrac{6}{-2}=-3[/tex]

Thus, the equation of the function in slope-intercept form is

[tex]f(n)=-3n+b[/tex]

Find b by substituting coordinates of the first point into the function expression:

[tex]21=-3\cdot 1+b\\ \\b=21+3\\ \\b=24[/tex]

Therefore,

[tex]f(n)=-3n+24[/tex]

11,12,15 please I am confuuuuused

Answers

Answer:

11.x>50

12.y is greater than or equal to 8

15. z<8

Step-by-step explanation:

The perimeter of a rectangle can be found using the equation P = 2L + 2W, where P is the perimeter, L is the length, and W is the width of the rectangle. Can the perimeter of the rectangle be 60 units when its width is 11 units and its length is 24 units?

No. If the length is 24 units and the width is 11 units, the perimeter would be P = 48 + 22 = 70 units, not 60.
No. If the length is 24 units and the width is 11 units, the perimeter would be P = 24 + 22 = 66 units, not 60.
Yes. If the perimeter is 60 units and the width is 11 units, then P + W is greater than 48.
Yes. If the length is 24 units and the width is 11 units, then P = 2L + 2W = 60.

Answers

Answer:

No. if the length is 24 units and the width is 11 units, the perimeter would be p=48+22=70

Step-by-step explanation:

w=11 and l=24

P=2l+2w

P=2(24)+2(11)

P=48+22

P=70

The perimeter of the rectangle be 60 units when its width is 11 units and its length is 24 units; No. If the length is 24 units and the width is 11 units, the perimeter would be P = 48 + 22 = 70 units, not 60.

What is perimeter?

Its the sum of length of the sides used to made the given figure.

Given that the perimeter of a rectangle can be found using the equation P = 2L + 2W.

where P is the perimeter, L is the length, and W is the width of the rectangle.

Thus, w=11 and l=24

P=2l+2w

P=2(24)+2(11)

P=48+22

P=70

Hence, The perimeter of the rectangle be 60 units when its width is 11 units and its length is 24 units;

No. If the length is 24 units and the width is 11 units, the perimeter would be P = 48 + 22 = 70 units, not 60.

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Select the correct answer.
What is the product of 3
-
2
0
0​

Answers

Answer:

I think it's supposed to be 200-3=? from what it looks like... the answer would be 197 if that is the case.

Step-by-step explanation:

Answer:

3-200= -197

Step-by-step explanation:

you can use a calculator, but you can also subtract 200 by 3 which equals 197. then add a negative sign to the left of the number :

                            -197
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