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
rusak2 [61]
2 years ago
5

Joy drank 2 3 liter of water Monday before going jogging. She drank 5 7 liter of water after her jog. How much water did Joy dri

nk altogether? Write your answer as a mixed number.
Mathematics
1 answer:
Alexxandr [17]2 years ago
8 0

Answer: 1 ⁸/₂₁ litres

Step-by-step explanation:

First find a common multiple to enable you add them up:

= 21

21 will be the denominator.

Multiply each numerator by the number you get when you divide 21 by the denominator.

= 21/3 = 7

= 7 * 2 = 14

= 21/7 = 3

= 3 * 5

= 15

= \frac{14 + 15}{21} \\\\= \frac{29}{21}

= 1\frac{8}{21} litres

You might be interested in
If you have 6 oranges and eat 3 2/3 how many do you have left
VikaD [51]
2 1/3 because you ate 3 and have 1/3 left of an orange

4 0
3 years ago
Read 2 more answers
Miguel is playing a game in which a box contains four chips with numbers written on them. Two of the chips have the number 1, on
insens350 [35]
1) We have that there are in total 6 outcomes If we name the chips by 1a, 1b, 3 ,5 the combinations are: 1a,3 \ 1b, 3 \1a, 5\ 1b, 5\ 3,5\1a,1b. Of those outcomes, only one give Miguel a profit, 1-1. THen he gets 2 dollars and in the other cases he lose 1 dollar. Thus, there is a 1/6 probability that he gets 2$ and a 5/6 probability that he loses 1$.
2) We can calculate the expected value of the game with the following: E=\frac{1}{6}*2- \frac{5}{6} *1. In general, the formula is E= \sum{p*V} where E is the expected value, p the probability of each event and V the value of each event. This gives a result of E=2/6-5/6=3/6=0.5$ Hence, Miguel loses half a dollar ever y time he plays.
3) We can adjust the value v of the winning event and since we want to have a fair game, the expecation at the end must be 0 (he must neither win or lose on average). Thus, we need to solve the equation for v:
0=\frac{1}{6}v -\frac{5}{6} =0. Multiplying by 6 both parts, we get v-5=0 or that v=5$. Hence, we must give 5$ if 1-1 happens, not 2.
4) So, we have that the probability that you get a red or purple or yellow sector is 2/7. We have that the probability for the blue sector is only 1/7 since there are 7 vectors and only one is blue. Similarly, the 2nd row of the table needs to be filled with the product of probability and expectations. Hence, for the red sector we have 2/7*(-1)=-2/7, for the yellow sector we have 2/7*1=2/7, for the purple sector it is 2/7*0=0, for the blue sector 1/7*3=3/7. The average payoff is given by adding all these, hence it is 3/7.
5) We can approach the problem just like above and set up an equation the value of one sector as an unknown. But here, we can be smarter and notice that the average outcome is equal to the average outcome of the blue sector.  Hence, we can get a fair game if we make the value of the blue sector 0. If this is the case, the sum of the other sectors is 0 too (-2/7+0+2/7) and the expected value is also zero.
6) We want to maximize the points that he is getting. If he shoots three points, he will get 3 points with a probability of 0.30. Hence the average payoff is 0.30*3=0.90. If he passes to his teammate, he will shoot for 2 points, with a success rate of 0.48. Hence, the average payoff is 0.48*2=0.96. We see that he should pass to his player since 0.06 more points are scored on average.
7) Let us use the expections formula we mentioned in 1. Substituting the possibilities and the values for all 4 events (each event is the different profit of the business at the end of the year).
E=0.2*(-10000)+0.4*0+0.3*5000+0.1*8000=-2000+0+1500+800=300$
This is the average payoff of the firm per year.
8) The firm goes even when the total profits equal the investment. Suppose we have that the firm has x years in business. Then x*300=1200 must be satisfied, since the investment is 1200$ and the payoff per year is 300$. We get that x=4. Hence, Claire will get her investment back in 4 years.
8 0
3 years ago
Read 2 more answers
Quotient of 32 and -8
mestny [16]

Answer:

-4

Step-by-step explanation:

mark branliest :))

3 0
2 years ago
Read 2 more answers
B
bearhunter [10]

Claim: The measures of \angle B and \angle B' are equal

Answer: True

Explanation: Dilations preserve the shape of an image, so this means the angles are kept the same whether you shrink or enlarge the preimage.

====================================================

Claim: The coordinates of A and A' are the same

Answer: True

Explanation: The phrasing "dilating about point A" means that point A is the center of the universe, so to speak, in terms of this dilation operation. Point A is the fixed point that does not move while every other point does move. Because the scale factor is 2/3, which is less than 1, this means every other point comes closer to point A. So something like segment AB will get shorter.

4 0
2 years ago
How do you solve the questions for the probability
Nonamiya [84]
Count how many pieces there are and then seer how many is that specific Piece and for percentage make it 100% of this amount then divide the different one out
5 0
3 years ago
Other questions:
  • Given the following absolute value function find the range f(x)= |x+5|-8
    14·1 answer
  • 23/20 or 110% which is greater?
    12·1 answer
  • Can someone help me with these questions please
    9·1 answer
  • Factor 8x squared + 22x + 15
    10·1 answer
  • What is the area of a triangle with a base of 4.24 and hight of 3?
    5·1 answer
  • Marla’s mom bought a 36-pack of water bottles at the supermarket. Each bottle has 500 mL of water. How many liters of water is t
    9·2 answers
  • Type the correct answer in each box. Consider the expressions shown below.
    7·2 answers
  • What is the y-intercept from the following?
    9·2 answers
  • Henry's Moving Company charges an initial fee of $50 plus $20 per hour (h). The total cost
    10·1 answer
  • A club held a car wash as fund-raiser.they charged $20 for trucks and $15 for cars.the club washed a total of 35 vehicles and ea
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!