7. There are 19 red marbles for every black marble. If there are 120 marbles in the bag, how many red marbles are there? Explain or show your reasoning.

Answers

Answer 1

Answer:

114 marbles.

Step-by-step explanation:

Let the number of red marbles be r

Let the number of black marbles be b

Given the following data;

Total number of marbles = 120

Translating the word problem into an algebraic equation, we have;

[tex] r = 19b[/tex] .......equation 1

[tex] r + b = 120[/tex] ........equation 2

Substituting the value of "r" into equation 2, we have;

[tex] 19b + b = 120[/tex]

[tex] 20b = 120[/tex]

[tex] b = \frac {120}{20}[/tex]

b = 6 marbles.

To find the number of red marbles;

From equation 1;

[tex] r = 19b[/tex]

Substituting the value of "b" into equation 1, we have;

[tex] r = 19*6[/tex]

r = 114 marbles.

Therefore, there are 114 red marbles in the bag.


Related Questions

3/5 + 7/10 + ¾ what is the answer

Answers

Answer:

2 1/20

Step-by-step explanation:

Fint the are and perimeter of the shape at the bottom

Answers

Answer:

Area: 59.5 ft squared

Perimeter: 31.6 feet

Step-by-step explanation:

Area:

For the area of the square, you're going to use the formula length times width. The length and width are both 7, so you'll do 7 times 7, which is 49. Next, you need to find the area of the triangle. It's a bit more confusing since they give you the hypotenuse (7.6 ft), but they did that to try and trick you. The area of a triangle is length times width divided by two. So, you're going to take the width (3) and multiply it by the length (7). The length is 7 because the length of the square and the triangle are the same since the bottom of the triangle is the same length as the top of the square. Anyway, using the formula, you will do 7 times 3 divided by 2, which is 21 divided by 2, which is 10.5. Add the 10.5 to the 49 we got from the square, and you'll get 59.5 feet squared.

Perimeter:

For the perimeter, you just need to add the side lengths. Starting at the top and going to the right, we can add 7.6+7+7. We don't get the left length, but it's the same as the rest of the square (7) because all sides of a square are equal. So, now we have 7.6+7+7+7, which is 28.6, and we just need the last one which is 3, so the final answer is 31.6 feet.

Answer:

Area: 59.5 ft squared

Perimeter: 31.6 feet

Step-by-step explanation:

Michael can mow 5 lawns in 36 minutes. At this rate, how long will it take him to mow 15 lawns?

Answers

Answer:

It would take him 108 minutes to mow the lawn.

Step-by-step explanation:

We can do proportion.

[tex] \frac{5 \: lawns}{36 \: minutes} = \: \frac{15 \: lawns}{x} [/tex]

[tex]36 \times 15 = 540 \\ 5 \times x = 5x[/tex]

[tex] \frac{540}{5} = \frac{5x}{5} [/tex]

[tex]108 = x[/tex]

What's the length of the diameter of the ferris wheel?

Answers

520 feet (158.5 m)
Ghhynny

Compare -3.6 and 1.2.

Answers

Answer:

-3.6 is a negative number compared to 1.2. 1.2 is -3 times less than -3.6. -3.6 is -3 times more than 1.2

Step-by-step explanation:

(can I get brainliest)

Answer:

they are both number with a decimal in it

Step-by-step explanation:

Suppose the x-axis of a density graph represents someone's height in inches.
If the area under the density curve from 60 inches to 70 inches is 0.55, what
is the probability of someone's height being anywhere from 60 inches to 70
inches?
O A. 65%
O B. 55%
O C. 70%
O D. 60%

Answers

Answer:

B

Step-by-step explanation:

B

25 POINTSSSS PLEASE HELP ME I NEED HELP!!! PLZZZ
Which exponential function has the greatest average rate of change over the interval [0, 2]?

Answers

Answer:

I think its A

Step-by-step explanation:

What is the remainder when 3,654 is divided by 62?

Answers

Answer:

the remainder is 58

Step-by-step explanation:

when you use long division and can't fit what you are dividing by into the number, that is your remainder.

what is 3 1/4 as an improper fraction a imprper fraction?​

Answers

Answer:

13/4

Step-by-step explanation:

3×4=12

12+1=13

Your welcome

Answer:

13/4

Step-by-step explanation:

Clyde took a survey to see the favorite pizza topping of his 6th grade classmates.
Topping
pepperoni
sausage
onions
cheese
Number of Students
45
36
9
16
What is the ratio of students who prefer sausage to students who prefer pepperoni?
O 1:2
O 2:3
O 3:4
04:5

Answers

I’m pretty sure it’s 3:4 Correct me if I’m wrong

What is the slope of the line represented by the values in the table?

X: 10 2 3 7 20
Y: 14 -2 0 8 34

Answers

Answer:

A-2

B.1/-2

c.1/2

D.2

Step-by-step explanation:

A-2

B.1/-2

C.1/2

D.2

please give answer please!!!!!!!!!!!!​

Answers

Answer:

All of them produce an angle of 90 degrees, therefore

90 degrees x 4 = 360 degrees

Blueberries cost $4.00 per pound. How many pounds of blueberries can you buy for $1.00?

Answers

Answer:

1/4 of a pound

Step-by-step explanation:

Blueberries are 4 dollars a pound you have 1 dollar

you can by 1/4 of a pound

Answer:

You can get 4 ounces

Step-by-step explanation:

Problem ID: PRABJVTY

Answers

Answer:

I'm confused too I'm sorry

Help me it’s not D !!!!

Answers

The answer to this is A.

Mr. Rogers is designing the layout for a new floor of his office. His new layout will have 8 workstations in one row, with the side length of each workstation being 2 feet longer than the side length (s) of the workstations in the existing layout. He writes this expression to help him design the layout.

8(s + 2)

Which algebraic expression is equivalent to this expression?

A.
8s + 16
B.
8s + 2
C.
8s + 10
D.
s + 16

Answers

A is the correct answer.

Does anyone know the answer?

Answers

Answer:

the last one

Step-by-step explanation:

three times the difference of two times m and five is equal to eight times m to the second power increased by four

Answers

Answer: 3*(2m-5)=8m^2+4

Step-by-step explanation:

The mathematical expression of the given statement is 3(2m-5) = 8m²+4.

What is an mathematical expression?

Expression in mathematics is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Here, the given mathematical statement is given as :

three times the difference of two times m and five is equal to eight times m to the second power increased by four , which can be written as :

3(2m-5) = 8m²+4

Therefore, the mathematical expression of the given statement is 3(2m-5) = 8m²+4.

Read more about  mathematical expression at:

https://brainly.in/question/10133124

#SPJ2

how do I figure out the speed of a train with constant speeds

Answers

Answer:

If you know the distance the train went and how long it was travelling for you can use the formula:

speed = [tex]\frac{distance}{time}[/tex]

Answer:

Trains regularly reach speeds of 125-150 mph (201-241 kph).

Step-by-step explanation:

X
-2
-1
0
1
2
у
N
3
4
5
6

Answers

Answer:

can you round it up? what is the question and what are we solving for?

Need ASAP plz plz plz

Answers

Answer:

12/7

Step-by-step explanation:

plz help asap i will do brainliest!!! A car takes 4 hours to reach a destination travelling at the speed of 63 km/h. How long will it take to cover the same distance if the car travells at the speed of 56 km/h? Do these quantities (time and speed) vary directly or inversely? Find the constant of variation.

Answers

Answer:

A car takes 4 hours to reach a destination travelling at the speed of 63 km/h.

Speed = distance / time

Distance = speed × time

Distance it took the car, travelling for 4 hours to a destination at a speed of 63 kilometers per hour would be

4 × 63 = 252 kilometers.

if the car travels at a different speed of 56 kilometers per hour and the distance remains 252 kilometers, the time it takes will be

Time = distance / speed

= 252/56 = 4.5 hours

The time varies inversely with the speed. The more the speed, the lesser the time and the lesser the speed, the more the time.

Let speed = s and let time = t

s varies inversely with t

Introducing constant of inverse variation k, it becomes

s = k/t

When s = 56, t = 4.5

56 = k/4.5

k = 4.5 × 56 =252

This is the distance

Step-by-step explanation:

the averages of the squared differences between the data values and the mean is known as​

Answers

Variance is the answer.

Explanation:

The variance is the average of the squared differences from the mean. To figure out the variance, first calculate the difference between each point and the mean; then, square and average the results.

Which equation represents a line which is parallel to the line 5x + 7y = 49?

Answers

Answer:

(0,7)

Step-by-step explanation:

use desmose it will show you (0,7)

Which of the following numbers
does NOT have the same value as
one quarter?

Answers

2/5 does not have the same value

3 1/9+2 1/4=
what is the answer

Answers

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Step-by-step explanation:

is (-3,4) a solution to y=2x+2??​

Answers

Answer:

NO i do not think so because you would end with a -4 not positive because a positive times a negative is a negative so (-3,4) is not a solution.

I hope this helps sorry if am wrong

Step-by-step explanation:

PLEASE HELP ME ITS DUE TODAY!!
PLS SHOW WORK OR EXPLAIN!!

Answers

Answer:

(-3, -0.5)

first put the points, then just draw the line that goes throw that row of dots.

Step-by-step explanation:

so this isnt very complicated, you need to put the points on the coordinate plane (the grid) and find where they meet coordinates (written starting with the x and ending with the y are written like this: (x,y))

go to the bottom line (x axis) and find the number in the x row on the page, then take the vertical line and go until the two ends meet,repeat that until there are no more coordinates to graph on the left box draw a straight line for all of the coordinates do the same with the other box drawing a line whre the other coordinates. if done right the lines should intersect, and the intersecting point is the answer

If f(x) =|3x + 2, what is f(-1)

Answers

-1 because you plug in -1 times 3 and that’s then -3 after that you add 2 which is -1

How to cross multiply for sin

Answers

Answer:

What do you mean sin?

Step-by-step explanation:

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