1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zaharov [31]
3 years ago
6

A bag contains purple marbles and white marbles, 68 in total. The number of purple marbles is 4 less than 5 times the number of

white marbles. How many purple marbles are there?
Mathematics
1 answer:
galina1969 [7]3 years ago
3 0

Answer: 56 purple marbles.

Step-by-step explanation:

Let be "p" the number of purple marbles in the bag and "w" the number of white marbles in the bag.

You can set up the following System of equations:

\left \{ {{p+w=68} \atop {p=5w-4}} \right.

You can use the Substitution method to solve the System of equations. The steps are shown below:

1. You need to substitute the second equation into the first equation:

(5w-4)+w=68

2. Now you must solve for "w":

5w-4+w=68\\\\6w-4=68\\\\6w=68+4\\\\6w=72\\\\w=\frac{72}{6}\\\\w=12

3. Substitute the value of "w" into second original equation and then evaluate in order to find the value "p":

p=5(12)-4\\\\p=60-4\\\\p=56

You might be interested in
I can't get to get this right can you please help me​
monitta

Answer:

(-7,4]\text{ or }\{x|-7

Step-by-step explanation:

The domain is the span of x-values covered by the function.

From the graph, we can see that the graph covers all the x-values from x=-7 to x=4.

However, note that closed and open circles. There is an open circle at x=-7, which means that the domain excludes x=-7. However, the circle at x=4 is closed, meaning it is included in the domain.

Therefore, the domain is, in interval notation:

(-7,4]

We use parentheses on the left because we do not include -7. And we use brackets on the right because we <em>do </em>include the 4.

And in set notation, this is:

\{x|-7

7 0
2 years ago
Read 2 more answers
Can anybody help me please
inn [45]

Answer:

(2,5)

Step-by-step explanation:

It's the coordinates of the point where the lines cross

5 0
3 years ago
Read 2 more answers
In a class of 23 students 9 are taking German and nine are taking Spanish. Of the student studying German or Spanish, 3 are taki
Colt1911 [192]
8 Students are not enrolled. Reason being 9 are taking German and 9 are taking Spanish so 9+9= 18 but because 3 are taking both you subtract 3 so that would give you 15 and 23-15=8

Answer: 8 Students 
4 0
3 years ago
Which represents the solution set of 5(x+5)&lt;85
Sloan [31]
5x +25<85

5x < 60

x < 12
8 0
3 years ago
Volume of sphere Marcus is using small stone spheres
satela [25.4K]
<h2>Volume of Sphere</h2>

1. What is the radius of the stone sphere?

- To know what is the radius divide is by 2.

  • \large \tt 6 \div 2 = 3

Therefore, the radius of the stone sphere is 3in

2. What is the volume of the stone sphere?

- Using the formula in finding the Volume of Sphere \tt V = \frac{4}{3}\pi r^3 to get the answer. Where the volume of the sphere is \tt\frac{4}{3}\:\:\:\:\pi multiplied by the cube of the radius.

  • \tt V = \frac{4}{3}\pi r^3
  • \tt V = \frac{4}{3}\times 3.14\times 3in^3
  • \tt V = \frac{4}{3}\times 3.14\times 27in
  • \tt V = \frac{4}{3}\times 84.78in
  • \tt V = \frac{339.12in}{3}
  • \tt V = 113.04in^3

Therefore, the volume of the stone sphere is 113.04in³

3. Another stone sphere for the garden has a diameter of 10 inches. What is the volume of the stone sphere? Use 3.14 for <em>π</em>, and round to the nearest hundredth.

- Using the formula in finding the Volume of Sphere \tt V = \frac{4}{3}\pi r^3 to get the answer. Where the volume of the sphere is \tt\frac{4}{3}\:\:\:\:\pi multiplied by the cube of the radius.

  • \tt V = \frac{4}{3}\pi r^3
  • \tt V = \frac{4}{3}\times 3.14\times 5in^3
  • \tt V = \frac{4}{3}\times 3.14\times 125in
  • \tt V = \frac{4}{3}\times 392.5in
  • \tt V = \frac{1570in}{3}
  • \tt V = 523.33in^3

<h3>Explanation</h3>

Therefore, the volume of the stone sphere is 523.33in³

<h3>#CarryOnLearning</h3>
4 0
2 years ago
Read 2 more answers
Other questions:
  • (20 POINTS AND BRAINLIEST ANSWER!!!)
    12·2 answers
  • Please answer this correctly without making mistakes
    11·2 answers
  • What fraction is shown by the point on the number line? Type your answer
    5·2 answers
  • (06.01 MC)What is the value of the expression 2 + 32 ⋅ (4 − 1)? 24 29 33 37
    11·1 answer
  • How to solve:<br> Sin(x)=x^2-pi^2
    12·1 answer
  • Is 4,400 is 10 times as much as 440
    9·1 answer
  • Write and solve an inequality, You want to save at least $100. How much do you need to save if you start with $37?
    5·1 answer
  • CAN SOMEONE PLEASE ADD ALL OF THIS FOR ME.?
    8·1 answer
  • Find the number if:
    9·2 answers
  • Use tables to find the indicated values
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!