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
kkurt [141]
3 years ago
7

Three kids play tennis at the same tennis courts. Mark plays every fourth day, David plays every seventh day and Bryan plays eve

ry sixth day. All of them were at the tennis court on Wednesday, July 18th. What will be the next day, when all three of them will be at the court together?
Mathematics
2 answers:
jonny [76]3 years ago
6 0

Answer:

Wednesday (9 weeks later) = 10th October.

Step-by-step explanation:

We label the days with the initials of the names.

M= 4

D = 7

B = 6

LCM of 6 +7 = 42

LCM of 6+7 + 4 = 84

We find 84 is the amount of days we need to add on to july 18th

We first find the weeks 84/7 = 9 weeks.

As Wednesday July 18th is exclusive it would be 84 days after this event.

18+ 84 = 102 days.

31 days in july = 31

31 days in Aug = 31

30 days in Sept = 30

= 92

102-92 = 10

We now know date is Wednesday 10th October

We can check 84 days = 9 weeks

13 days in July makes 31st july

31 days in Aug makes 31st Aug

30 days in Sept makes 30th Sept

= 74 days + 10 days = 84

10th October is the checked date and we know it is also a Wednesday as Wednesday had stayed exclusive and prove that there are 7 days in the week to account x 9, to account for an exact 9 weeks later duration.

Alborosie3 years ago
3 0

Answer:

Wednesday, October 10

Step-by-step explanation:

David play every 7 days, so since the first day is a Wednesday, David plays every Wednesday. We need to find the smallest common multiple of 4 and 6 that is also a multiple of 7. Since 4 * 3 = 12 and 6 * 2 = 12, we see that all multiples of 12 are also multiples of 4. We list the multiples of 12:

12, 24, 36, 48, 60, 72, 84, 96, ...

The smallest multiple of 12 that is a multiple of 7 is 84.

The first day all of them play together after July 18th is 84 days later.

84/7 = 12

We look in a calendar, and we see that exactly 12 weeks after July 18 is Wednesday, October 10.

Answer: Wednesday, October 10.

You might be interested in
A kite is tied to the ground. The rays from the sun hit the kite perpendicular to the kite string, casting a shadow of the kite
stiks02 [169]


so if you are asking for the distance do y2-y1/x2-x1

0-12/3-0

-12/3=-4

so -4 units


6 0
3 years ago
Read 2 more answers
[Will mark as brainliest]
Aleks04 [339]

The answer is: f^{-1} = 4x^2-3,\quad\text{for  } x \leq 0

The inverse of a function f(x) is another function, f^{-1}(x), with the following property:

f(f^{-1}(x)) = f^{-1}(f(x)) = x

In other words, the inverse of a function does exactly "the opposite" of what the original function does, and so if you compute them both in sequence you return to the starting point.

Think for example to a function that doubles the input, f(x)=2x, and one that halves it: f(x)= \frac{x}{2}. Their composition is clearly the identity function f(x)=x, since you consider "twice the half of something", or "half the double of something".

In general, to invert a function y=f(x), you have to solve the expression for x, writing an expression like x = g(y). If you manage to do so, then g is the inverse of f.

In your case, you have

f(x) = y = -\frac{1}{2}\sqrt{x+3}

Multiply both sides by -2 to get

-2y = \sqrt{x+3}

Square both sides to get

4y^2 = x+3

Finally, subtract 3 from both sides to get

x = 4y^2 - 3

Since the name of the variables doesn't really have a meaning, you can say that the inverse function is

f^{-1}(x) = 4x^2 - 3

As for the domain of the inverse function, remember what we said ad the beginning: if the original function goes from set A (domain) to set B (codomain), then the inverse function goes from set B (domain) to set A (codomain). This means that the inverse function is defined on an element in B if and only if that element belongs to the range of the original function, i.e. the set of the elements of the codomain b \in B such that there exists a \in A : f(a)=b. So, we need the range of f(x).

We know that the range of g(x)=\sqrt{x} is [0,\infty). When you transform it to g(x)=\sqrt{x+3} you simply translate the graph horizontally, so the range doesn't change. But when you multiply the function times -\frac{1}{2} you affect both extrema of the range, turning it into (-\infty,0], which you can simply write as x \leq 0

4 0
3 years ago
2. A package of paper towels contains 3 rolls. Each package of paper towels costs $2.79. A function, f(x), is written to represe
kolbaska11 [484]

Answer:

B

Step-by-step explanation:

Let x be the number of packages of paper towels.

Each package of paper towels costs $2.79.

Then x packages of paper towels cost $2.79x.

Hence, a function f(x) is

f(x)=2.79x

Practically, you can buy 0 packages, 1 package, 2 packages and so on, only whole numbers of packages, so practical domain is all whole numbers.

4 0
2 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
Valentin [98]

Remark

At first glance, one would think this problem isn't possible. But if you use the magnifying glass, you see that it is.

Solve

25 carrots puts you somewhere to the left of the shaded area, so C and D are both wrong.

That leaves you with A or B. You need 30 carrots (or just very slightly less) at least to solve this problem. The way to distinguish between A and B is to look at the line that goes from lower right to upper left. When you magnify this graph, you see that at 30 carrots the line or boundary goes through 20 cucumbers. 21 is just very slightly above that and 25 is far above the other line. 21 cucumbers is the only possible right answer for the number of cucumbers. 25 is too high. B is wrong. The answer is A.

 

4 0
3 years ago
The sum of two numbers is 19. Their difference is 65. What are the numbers?
Ludmilka [50]
X = 42 and y = - 23 are the two numbers
3 0
3 years ago
Other questions:
  • Find the mising measure
    6·2 answers
  • When g(x) is divided by x + 4 the remainder is 0. Given g(x)=x^4+3x^3-6x+8 which conclusion about g(x) is true?
    10·1 answer
  • Why does an even number plus an odd number always equals an odd number?
    14·2 answers
  • If c is a 5 x 1 matrix and dis a 3 x 5 matrix, what are the dimensions of dc
    13·1 answer
  • Help me!!
    10·2 answers
  • Julie works in a leisure centre. Part of her duties is to prepare personal fitness plans for her clients.
    8·1 answer
  • PLEASEEEE HELP ME WITH 1A. ITS EASY IF YOU KNOW HOW TO DO IT
    14·2 answers
  • If a Canada savings Bond is worth $6225 after 7 years, and was originally bought for $5000, what was the annual simple interest
    8·1 answer
  • Payal is going to Turkey. The exchange rate is £1 = 3.1938 lira. She changes £582 to lira. How
    11·1 answer
  • A shop is having a 10% off sale. Find the sale price of a cap which normally costs $12?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!