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
soldi70 [24.7K]
3 years ago
10

Joni's jar of 10 marbles contains 2 red, 3 blue, and 5 yellow marbles. How many red marbles would Joni need to add to the jar, s

o that 1/3 of the marbles are red?
Mathematics
1 answer:
FinnZ [79.3K]3 years ago
8 0
2 more red marbles would need to be added, so there are 4 red, 3 blue, and 5 yellow. 4/12 are red, and that reduces to the desired ratio of 1/3 (:
You might be interested in
The measures of two complementary angles have a ratio of 3 : 2. What is the measure of the larger angle?
Mkey [24]

<em>Question:</em>

The measures of two complementary angles have a ratio of 3 : 2. What is the measure of the larger angle?

—————

<em>Solution:</em>

Call those two angles  x  and  y, where  x  is the larger one.

If they are complementary, then their sum equals  90°:

x + y = 90°      (i)


Also, the ratio between  x  and  y  is  3 : 2, so

  x           3
——  =  ——
  y           2


Product of the extremes = product of the means:

2x = 3y

2x – 3y = 0        (ii)


Now, just solve this system of equations:

  x  +  y = 90°         (i)
2x – 3y =   0          (ii)


Solve it with elimination. Since you want to know the value of the larger angle, which is  x, then eliminate the variable  y  by doing the following:

Multiply the equation  (i)  by  3,

3x + 3y = 270°        (iii)
2x – 3y =     0          (ii)


then add both equations, so you cancel out the variable  y:

3x + 2x + 3y – 3y = 270° + 0

3x + 2x = 270°

5x = 270°

         270°
x  =  ———
           5

x = 54°    <———  this is the measure of the larger angle.


I hope this helps. =)


Tags:  <span><em>system of linear equations elimination method solve complementary angles algebra geometry</em>
</span>
3 0
2 years ago
Convert 1/9 into a decimal
sattari [20]
\frac{1}{9} = 0.11

Move the decimal two places to the left.
5 0
3 years ago
Read 2 more answers
Simplify the radical expressions pleaseeeeee help I haven’t done algebra in 2 years
sweet [91]
For the first one, simplify the radicals. The 3 root 8 can be rewritten as 3 root 4 root 2, which turns into 6 root 2. The 4 root 3 can’t be simplified, so just multiply. 6*4=24 and the root 2*root 3 turns into root 6. So your answer for the first one is 24 root 6.

For the next one you can’t have a radical in the denominator so just multiply by root 3/ root 3, which gives you 6 root 3/3 which simplifies into 2 root 3.
6 0
2 years ago
Which of the following is true of the values of x and y in the diagram below? A unit circle is shown. A radius with length 1 for
jok3333 [9.3K]

Answer:

y/x=1

Step-by-step explanation:

took the test

6 0
2 years ago
Read 2 more answers
Solve the system of equations x+2y=-16 and x+6y=-28 by combining the equations.
Gnesinka [82]

Answer:

x= -18 y=-5/3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • An auto mechanic ordered eight car spark plugs and four truck spark plugs. Car spark plugs cost $.75, and truck spark plugs cost
    14·1 answer
  • Which statement correctly describes the relationship between the graph of f(x)=8xf(x)=8x and the graph of g(x)=4f(x)g(x)=4f(x) ?
    8·1 answer
  • The Frostburg-Truth bus travels on a straight road from Frostburg Mall to Sojourner Truth Park. The mall is 3 miles west and 4 m
    12·1 answer
  • Hey can anyone help with this question?
    5·1 answer
  • Solve for x in the following inequality.<br><br> 4 - 3x ≤ 2x + 6
    7·1 answer
  • I need help ASAP please
    9·2 answers
  • Berto has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair relating numbers of gallons of gas, x, to
    5·1 answer
  • the sum of four times a number and eight is between zero and twelve. find the range of numbers. write a compound inequality.​
    13·1 answer
  • Can someone help? i dont understand it really well
    6·1 answer
  • Can someone help me with this question
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!