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
MrMuchimi
2 years ago
4

Tom bought a pizza. He ate 1/3 of the pizza and gave some of it to his brother. He was then left with 1/5 of the pizza. What fra

ction of the pizza did Tom give his brother?​

Mathematics
1 answer:
LenaWriter [7]2 years ago
7 0

Answer:

7/15

Step-by-step explanation:

first recognise that 3/3 is a whole pizza and so is 5/5.

Secondly make all the numbers to have the same denominator

So times both denominators of the fractions together; 5x3=15

Now find 1/3 of 15. Do this by dividing 15 by 3. This equals 5.

So 1/3 is equal to 5/15

Now do the same for 1/5. 15 divided by 5, this equals 3.

So 1/5 is equal to 3/15

Now that we know that the whole pizza is 15/15

We minus 1/3 from 15.

15-5=10.  So we now have 10/15 left.

now we know that 'x' is representative of the amount of pizza Tom gave to his bother.

10/15 - 3/15 = x

x = 7/15

So out of the whole pizza (15/15), tom ate 5/15 and was left with 3/15 meaning he gave 7/15 to his brother.

You might be interested in
Employees in the marketing department of a large regional restaurant chain are researching the amount of money that households i
kap26 [50]

Answer:

The <em>z</em>-score for the group "25 to 34" is 0.37 and the <em>z</em>-score for the group "45 to 54" is 0.25.

Step-by-step explanation:

The data provided is as follows:

25 to 34              45 to 54

  1329                    2268

  1906                    1965

 2426                     1149

  1826                     1591

  1239                    1682

   1514                     1851

  1937                     1367

  1454                    2158

Compute the mean and standard deviation for the group "25 to 34" as follows:

\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [1329+1906+...+1454]=\frac{13631}{8}=1703.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1086710.875}=394.01

Compute the <em>z</em>-score for the group "25 to 34" as follows:

z=\frac{x-\bar x}{s}=\frac{1851-1703.875}{394.01}=0.3734\approx 0.37

Compute the mean and standard deviation for the group "45 to 54" as follows:

\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [2268+1965+...+2158]=\frac{14031}{8}=1753.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1028888.875}=383.39

Compute the <em>z</em>-score for the group "45 to 54" as follows:

z=\frac{x-\bar x}{s}=\frac{1851-1753.875}{383.39}=0.25333\approx 0.25

Thus, the <em>z</em>-score for the group "25 to 34" is 0.37 and the <em>z</em>-score for the group "45 to 54" is 0.25.

8 0
2 years ago
Sasha lives 1,493 miles from her grandmother. One year, Sasha's family made 4 round trips to visit her grandmother. How many mil
Veronika [31]
Sasha's family traveled 11,944 miles.

(( 4 round trips = 8 trips ))
       (( 1493 x 8 ))

     Hope this helps!
7 0
2 years ago
Bill has 4 letter blocks: A, B, C and D. In how many different ways can Bill arrange the blocks in a row? 6, 12, 18 or 24?
stiv31 [10]
24 ways in which the blocks can be arranged
4 0
2 years ago
Read 2 more answers
PLZ helPZ me Wendell plans to paint the doghouse after it’s built. He wants to know what the surface area of the outside of the
Basile [38]

Answer: sometimes, there are a lot of rectangles that are composite shapes so that could work. also, most composite shapes have two dimensions.

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Player V and Player M have competed against each other many times. Historical data show that each player is equally likely to wi
Helen [10]

Answer:

0.46 (46%)

Step-by-step explanation:

We have the following data:

- Probability that player V wins the first set:

p(1)=0.50

(because the text says the two players are equally likely to win the first set)

- Probability that player V wins the 2nd set if he has won the 1st set:

p(2|1)=0.60

So, the probability that player V wins the first 2 sets is:

p(12)=p(1)\cdot p(2|1)=(0.50)(0.60)=0.30 (1)

Instead, the probability that player V loses the 2nd set if he has won the 1st set is 0.40 (=1-0.60), so

p(2^c|1)=0.40

So, the probabiity that player V winse the 1st set but loses the 2nd set is

p(12^c)=p(1)\cdot p(2^c|1)=(0.50)(0.40)=0.20 (2)

Also, we have:

- Probability that player V loses the 1st set:

p(1^c)=0.50

- Probability that she will lose the 2nd set in this case is 0.70, it means that the probability that she will win the 2nd set if she lost the 1st set is 0.30, so:

p(2|1^c)=0.30

So, the probability that she will lose the 1st set and win the 2nd set is:

p(1^c2)=p(1^c)\cdot p(2|1^c)=(0.50)(0.30)=0.15 (3)

Combined together (2) and (3), this means that the probability that player V wins exactly 1 set out of the first two sets is:

p(1/2)=p(12^c)+p(1^c2)=0.20+0.15=0.35 (4)

At this point, the probability that she will win the 3rd set is

p(3)=0.45

This means that the overall probability that she will win the 3rd set if she won exacty 1 of the first 2 sets is:

p(1/2,3) = p(1/2)\cdot p(3)=(0.35)(0.45)=0.16 (5)

So, the overall probability that player V will win a match against player M is the sum of (1) and (5):

p(W)=p(12)+p(1/2,3)=0.30+0.16=0.46

5 0
2 years ago
Other questions:
  • 100/225 square feet of your bakery will be used as your storefront, where customers come visit. The rest kill be used for storag
    13·1 answer
  • A two-way frequency table is shown below that displays the relationship between pizza type and pizza crust choices. We took a sa
    10·1 answer
  • Which of the following equations correctly represents the law of sines?
    7·1 answer
  • A tank has 908.64 litres of water . It has to be poured into buckets of capacity 50.48 , find the number of buckets required
    7·2 answers
  • 1) Jodi liked to collect stamps. On 3 different days she bought 6 stomps. Then she
    13·1 answer
  • Which image (A'B'C'D') of ABCD cannot be produced using only reflections? A. B. C. D.
    8·1 answer
  • The ratio of boys to girls at a school dance is shown in the graph. Which equation has a greater rate of change than the rate sh
    9·1 answer
  • 4.14 Defective rate. A machine that produces a special type of transistor (a component of computers) has a 2% defective rate. Th
    15·1 answer
  • Five friends split the cost of parking at an amusement park. Each of them also buys a$30 ticket.write an algebraic expression th
    11·2 answers
  • A window manufacturer claims that the seals break on only 4% of its windows. What is the probability that, in a sample of 10 win
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!