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
umka21 [38]
3 years ago
12

Caleb and Suzanne each have a pile of blue and white chips. Caleb determines in his pile,three out of every four chips is blue.

Suzanne determines in her pile, one out of every five chips are blue. How many total chips does each student have if Caleb and Suzanne each have 6 blue chips?
Mathematics
1 answer:
Artist 52 [7]3 years ago
8 0

Answer:

Total number of chips Caleb have = 8

Total number of chips Suzanne have = 30

Step-by-step explanation:

In Caleb case -

Three out of every four chips is blue

⇒ If Caleb has total chips = 4

Then Blue chips = 3

⇒White chips = 4 - 3 = 1

Now,

If Caleb have 6 blue chips

⇒3 Blue chips = 4 total chips

  1 Blue chip = \frac{4}{3} total chips

⇒6 blue chips = \frac{4}{3} ×6 = 4×2 = 8 total chips

∴ we get

Number of chips become = 8

In Suzanne case -

One out of every five chips are blue.

⇒ If Suzanne has total chips = 5

Then Blue chips = 1

⇒White chips = 5 - 1 = 4

Now,

If Suzanne have 6 blue chips

⇒1 Blue chips = 5 total chips

⇒6 blue chips = 5×6 = 30 total chips

∴ we get

Number of chips become = 30

You might be interested in
Confused on how to write the equation due to the graph having a point at (1,2).
kari74 [83]

Answer:

The line passes through (1,2) and (4,4)

The equation,

\frac{y - y1}{x - x1}  =  \frac{y2 - y1}{x2 - x1}

\frac{y - 2}{x - 1}  =  \frac{4 - 2}{4 - 1}  =  \frac{2}{3}

3(y - 2) = 2(x - 1)

=  > 3y - 6 = 2x - 2

=  > 2x - 3y - 2 + 6 = 0

=  > 2x - 3y + 4 = 0

5 0
3 years ago
A father and his son can clean the house together in 9 hours. When the son works​ alone, it takes him an hour longer to clean th
leonid [27]

Answer:

It will take the son 18.55 hours

Step-by-step explanation:

It takes 9 hours for the father and son to clean the house if they work together. This means that their unit rate of working together will be 1/9

When the son works​ alone, it takes him an hour longer to clean than it takes his dad alone.

Let x = the time it takes the father to clean the house. This means that it takes the son (x+1) hours to clean the house alone.

The unit rate if working of the son will be 1/+1

The unit rate of working of the father will be 1/x

Since they are working simultaneously, their unit rates are additive. Therefore

1/(x+1) + 1/x = 1/9

(x + x + 1)/x(x+1) = 1/9

(2x+1)/(x^2 + x)= 1/9

18x + 9 = x^2 + x

x^2 + x - 18x-9

x°2 - 17x - 9 = 0

Applying the general formula for quadratic equations,

x = [-b+-√b^2-4ac)]/2a

x =[ - -17 +-√-17^2-4(2×1)]/2×1

x = (17+-18.03)/2

x = (17 + 18.03)/2 or x = (17 - 18.03)/2

x = 17.55 or x = -0.515.

The time cannot be negative so it is 17.55

It takes the father 17.55 hours if he works alone.

It will take the son 17.55 + 1 = 18.55 hours

4 0
3 years ago
Which equation is the inverse of y=x^2-36
Ad libitum [116K]
For these kinds of questions you should first solve for x:
y +36 = x^2 ⇒ √y+36 = x 
now the inverse of this equation is:
√x + 36 = y :)))
i hope this is helpful
have a nice day 
5 0
3 years ago
Read 2 more answers
6,666,666×666,666 /1+2+3+4+5+6+5+4+3+2+1 − 777,777×777,777/1+2+3+4+5+6+7+6+5+4+3+2+1
jeka57 [31]

Answer:

111111 \times 1111110 is the simple expression.

Step-by-step explanation:

The expression to be solved:

\dfrac{6,666,666\times666,666 }{1+2+3+4+5+6+5+4+3+2+1} - \dfrac{777,777\times777,777}{1+2+3+4+5+6+7+6+5+4+3+2+1}

First of all, let us solve the first term:

\dfrac{6,666,666\times666,666 }{1+2+3+4+5+6+5+4+3+2+1}\\\Rightarrow \dfrac{6666666\times666666 }{36}\\\Rightarrow \dfrac{6666666\times666666 }{6\times 6}\\\Rightarrow 1111111\times 111111

Now, the right term:

\dfrac{777777\times777777}{1+2+3+4+5+6+7+6+5+4+3+2+1}\\\Rightarrow \dfrac{777777\times777777}{49}\\\Rightarrow \dfrac{777777\times777777}{7 \times 7}\\\Rightarrow 111111 \times 111111

So, the expression to be solved becomes:

1111111\times 111111-111111\times 111111\\\Rightarrow 111111(1111111-1)\\\Rightarrow 111111\times 1111110

3 0
3 years ago
A jar contains five red marbles and three green marbles. A marble is drawn at random and not
Alex787 [66]
5+3=8
Every time you draw, its minus one from denominator

1st marble red: 5/8

2nd marble green: 3/7
5 0
3 years ago
Other questions:
  • Britney practiced the piano a total of 7 hours this week. This is 3 hours less than she practiced last week. Select the correct
    12·1 answer
  • Help help me please asap
    5·2 answers
  • What’s the equivalent ration for 3/4
    7·1 answer
  • 4) Which expression is equivalent to
    8·2 answers
  • A rectangle has an area of 14 square centimeters. It's length is five cm greater than its width. Find the dimensions.
    14·1 answer
  • 24(2x+4)<br><br> PLEASE HELP
    5·2 answers
  • Answer right to get points
    7·2 answers
  • The ratio of the number of text messages sent by Diego to the number of text messages sent by his sister is 3 to 4. Diego sent 1
    12·1 answer
  • 1+1=?????????????????????????????.
    8·2 answers
  • Which faction is equivalent to 5/20 a4/16 b4/12 c4/19 d4/15
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!