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
Oksi-84 [34.3K]
2 years ago
5

The ratio of red marbles to blue marbles in a bag is 3:4 . If there are 42 marbles in the bag. how many marbles are red?

Mathematics
1 answer:
PolarNik [594]2 years ago
5 0

Answer:

18 marbles

Step-by-step explanation:

Step 1

Express the fraction of each type of marble as a function of the total number of marbles as shown;

Let;

total marbles=x

red marbles=3/(3+4)=3/7x

blue marbles=4/7 x

But x=42 marbles

The total number of marbles for each type can be expressed as;

total number of red marbles=fraction of red marbles×total number of marbles

where;

fraction of red marbles=3/7 x

total number of marbles=42

replacing;

total number of red marbles=(3/7)×42=18 marbles

total number of blue marbles=fraction of blue marbles×total number of marbles

where;

fraction of blue marbles=4/7 x

total number of marbles=42

replacing;

total number of blue marbles=(4/7)×42=24 marbles

You might be interested in
Which statement describes the relationship between x and y in these two equations?
marysya [2.9K]

Answer:

The correct option is B.

4 0
3 years ago
Read 2 more answers
If KN =29, what is CN?
Nostrana [21]
29kn are equal to cn 2900000
Hope it was right.
6 0
3 years ago
The 1992 world speed record for a bicycle (human-powered vehicle) was set by Chris Huber. His time through the measured 200 m st
Reil [10]

Answer:

a) 30.726m/s and b) 5.5549s

Step-by-step explanation:

a.) What was Chris Huber’s speed in meters per second(m/s)?

Given the distance and time, the formula to obtain the speed is

v=\frac{d}{t}.

Applying this to our problem we have that

v=\frac{200m}{6.509s}= 30.726m/s.

So, Chris Huber’s speed in meters per second(m/s) was 30.726m/s.

b) What was Whittingham’s time through the 200 m?

In a) we stated that v=\frac{d}{t}. This formula implies that

  1. t=\frac{d}{v}.

First, observer that 19\frac{km}{h} =19,000\frac{m}{h}=\frac{19,000}{3,600}m/s= 5.2777m/s.

Then, Sam Whittingham speed was equal to Chris Huber’s speed plus 5.2777 m/s. So, v=30.726\frac{m}{s} +5.2777\frac{m}{s}= 36.003 m/s.

Then, applying 1) we have that

t=\frac{200m}{36.003m/s}=5.5549s.

So, Sam Whittingham’s time through the 200 m was 5.5549s.

5 0
3 years ago
If f(x) = x2 + 2x + 1 and g(x) = 3(x + 1)2, which is an
Ilia_Sergeevich [38]
The answer should be C
5 0
3 years ago
The number of eggs e in the carton and the total costs t of the eggs. what is the dependent variable
just olya [345]
T because you need to know the number of eggs, e, to know how much it costs.
6 0
3 years ago
Other questions:
  • Heather wants to buy a CD that cost 18.63. How much change does she receive if she gives the cashier $100?
    5·1 answer
  • I have issues. I need someone to talk to please and thank you
    9·2 answers
  • There are 624 students at Lincoln Middle School. 78 of the students are left-handed. What percent of students at Lincoln Middle
    6·1 answer
  • Blank times 6/12 = 1/10
    12·1 answer
  • Sum of exactly two terms that is equivalent to 3(6x + 9y).
    9·2 answers
  • ‼️(15 points)‼️
    10·2 answers
  • New Oats cereal is packged in a cardboard cylinder. The packaging is 10 inches tall with a diameter of 3 inches. What is the vol
    14·1 answer
  • Find the common ratio of the geometric sequence 36, 6, 1, 16, ... . Write your answer as an integer or fraction in simplest form
    14·1 answer
  • If a polynomial has four terms, 3x3 5x 6x2 10, which factoring method can be considered? perfect-square trinomial difference of
    8·1 answer
  • The first number in a pattern is 6. The pattern follows the rule "Add 1, Multiply by 2" Which of the following shows the next fo
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!