answer.
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
Thepotemich [5.8K]
2 years ago
13

Gavin and his three friends want to share 1/3 pound of cake equally. Gavin says that each friend will get 1/9 pound of cake. Use

the drop down menu to explain whether or not Gavin is correct
Gavin is _______. To find how much cake each person gets, divide 1/3 by _________, or multiply 1/3 by _______. Therefore, each of the friends gets ________of cake.
Mathematics
2 answers:
SSSSS [86.1K]2 years ago
8 0
Correct. They have, in total, 1/3lbs of cake. To divide that equally to three people, we divide 1/3 by 3, or multiply 1/3 by 1/3, and get 1/9lbs per person.
Katena32 [7]2 years ago
5 0

Answer:

1). True

2). 3

3), \frac{1}{9}

Step-by-step explanation:

Gavin and his three friends want to share \frac{1}{3} pound of cake equally.

Gavin says that each friend will get \frac{1}{9} pound of cake. He true because when we divide \frac{1}{3} pound of cake in three parts we divide it by 3.

Cake divided in three friends = \frac{\frac{1}{3}}{3}=\frac{1}{(3)(3)}=\frac{1}{9}. This can be represented as (\frac{1}{3})(\frac{1}{3})=\frac{1}{9}

Therefore Gavin is True. To find how much cake each person gets, divide \frac{1}{3} by 3, or multiply \frac{1}{3} by \frac{1}{3}.

Therefore, each of the friend gets \frac{1}{9} of cake.

You might be interested in
A flower pot in the shape of a truncated cone with a height of 8 in. was formed by slicing off the tip of a cone along a plane p
Ainat [17]
Hello :) the answer to your question is
B.60 in 3
3 0
2 years ago
Read 2 more answers
Harper went into a movie theater and bought 10 bags of popcorn and 6 drinks,
Gnesinka [82]

Answer:

The price of a drink = $4

The price of a bag of popcorn = $5.5

Step-by-step explanation:

Let p represent popcorn and d represent drink

<u>Harper bought 10 bags of popcorn and 6 drinks and paid $79 ➡ 10p + 6d = $79</u>

<em>Damian bought 3 bags of popcorn and 5 drinks and paid $36.50 ➡ 3p + 5d = $36.50</em>

Now multiply first equation by -3 and second equation by 10

-3 × (10p + 6d) = $79 ➡ -30p - 18d = -$237

10 × (3p + 5d) = $36.50 ➡ 30p + 50d = $365

Now add the new equationd

30p + 50d -30p - 18d = $365 - $237 (-30p will eliminate 30p)

32d = $128 divide both sides of the equation by 32

32 ÷ 32d = 32 ÷ $128 ➡ d = 4

If d = 4 that means a drink costs $4 we can use this information to find the price of a bag of popcorn

3p + 5d = $36.50 (replace d with 4)

3p + 4×5 = $36.50

3p + 20 = $36.50

3p = $36.50 - 20

3p = 16.50 divide both sides by 3

p = $5.5

5 0
2 years ago
Let f(x)=4x-1 and g(x)=2x^2+3. Perform each function operations and then find the domain.
Triss [41]
F(x) = 4x - 1
g(x) = 2x² + 3

1. (f + g)(x) = (4x - 1) + (2x² + 3)
    (f + g)(x) = 2x² + 4x + (-1 + 3)
    (f + g)(x) = 2x² + 4x + 2
    Domain: {x| -∞ < x < ∞}, (-∞, ∞)

2. (f - g)(x) = (4x + 1) - (2x² + 3)
    (f - g)(x) = 4x + 1 - 2x² - 3
    (f - g)(x) = -2x² + 4x + 1 - 3
    (f - g)(x) = -2x² + 4x - 2
    Domain: {x|-∞ < x < ∞}, (-∞, ∞)
3. (g - f)(x) = (2x² + 3) - (4x - 1)
    (g - f)(x) = 2x² + 3 - 4x + 1
    (g - f)(x) = 2x² - 4x + 3 + 1
    (g - f)(x) = 2x² - 4x + 4
    Domain: {x| -∞ < x < ∞}, (-∞, ∞)

4. (f · g)(x) = (4x + 1)(2x² + 3)
    (f · g)(x) = 4x(2x² + 3) + 1(2x² + 3)
    (f · g)(x) = 4x(2x²) + 4x(3) + 1(2x²) + 1(3)
    (f · g)(x) = 8x³ + 12x + 2x² + 3
    (f · g)(x) = 8x³ + 2x² + 12x + 3
    Domain: {x| -∞ < x < ∞}, (-∞, ∞)

5. (\frac{f}{g})(x) = \frac{4x - 1}{2x^{2} + 3}
    Domain: 2x² + 3 ≠ 0
                         - 3  - 3
                        2x² ≠ 0
                         2      2
                          x² ≠ 0
                           x ≠ 0
                  (-∞, 0) ∨ (0, ∞)

6. (\frac{g}{f})(x) = \frac{2x^{2} + 3}{4x - 1}
    Domain: 4x - 1 ≠ 0
                      + 1 + 1
                        4x ≠ 0
                         4     4
                         x ≠ 0
                (-∞, 0) ∨ (0, ∞)
6 0
2 years ago
What expression is equivalent to (5z^2+3z+2)^2
nikdorinn [45]
Please see picture attached.

7 0
2 years ago
Read 2 more answers
A lake is 200 ft wide.Two boats start to move towards one another from opposite shores.In one minute the first boat goes 40 ft a
ddd [48]

Answer:

After one second, 130 ft

After two second , 60 ft

Step-by-step explanation:

Both boats are moving towards each other,

Speed of first boat = 40 ft/min.

Speed of second boat = 30 ft/min.

So, In one Second they must have covered a total distance of 40 + 30 ft

                                                                                                        = 70 ft.

Total width of the lake = 200 ft

So, Distance remained between them after one second = 200 - 70 = 130 ft.

After two seconds , First boat will move my 80 ft and second one will move by 60 ft

So, distance between them will decrease by 140 ft.

Distance between the boats after two seconds = 60 ft.

7 0
2 years ago
Other questions:
  • Felix spends $150 each month for his gym membership plus $30 each week for a personal trainer. A new gym charges $255 a month, w
    13·1 answer
  • Michael made 4 dozen chocolate chip cookies he is bringing 75% of them to school for a party how many cookies does he bring to c
    8·1 answer
  • The diagram shows parallel lines cut by two transversal lines creating a triangle. Which statements are true? Check all that app
    15·2 answers
  • Which size bottle of ketchup is the best deal with the lowest unit price? Prices for Different Sizes of Bottles of Ketchup Size
    12·2 answers
  • The table shown represents the details of a car loan.
    13·2 answers
  • Round all answers to the nearest whole number. How many of the people surveyed make less than 5 calls per day? What percentage o
    10·1 answer
  • The Bradley family owns 410 acres of farmland in North Carolina on which they grow corn and tobacco. Each acre of corn costs $10
    5·1 answer
  • g In a survey of 500 residents, 300 were opposed to the use of the photo-cop for issuing traffic tickets.The standard error of t
    5·1 answer
  • A soundproofing tile is made of 8 identical solid right pyramids with square bases. The length of the whole tile shown is x inch
    13·2 answers
  • Find the measure of b. A. 80 B. 70 C. 40 D. 20
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!