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

Answers

Answer 1

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.

Answer 2

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.


Related Questions

Is my answer to this problem right?

Answers

Answer:

Yes

Step-by-step explanation:

1/3 = 3 in 1

3(1) = 3

3 x 12 = 36

So 36 is correct

Answer:

I’m pretty sure you are correct.

In the triangle below. 15 represents which ratio?
А
15
B
00
17
C
o tan
O tano
sin B
COS

Answers

Answer:

tanB

Step-by-step explanation:

In the picture attached, the question is shown.

By definition:

tan(β) = opposite/adjacent

From the picture, for angle B the opposite side measure 8 units and the adjacent side measures 15 units. Replacing into the equation:

tan(B) = 8/15

I really need help on these 2 questions. Please!!!!

Answers

The first one isn’t similar, because there are two sides with 6, with different side lengths. The second one is, it uses SSS. They correspond in the same ratio, with 4 more on the sides on the second.

what is the standard equation of the circle in the graph

Answers

Answer:

option 1

Step-by-step explanation:

formula:(x-h)^(2)*(y-k)^(2)=r^2

well if you move the circle 3 units left h is (-3), plug it in, you get 3, so it is (x+3)^2*(y-k)^(2)=r^2

if you move the circle 2 units up, plug it in you get (-2), so it is

(x+3)^2*(y-2)^(2)=r^2

now, the radius is 3 (we can see from the graph) so radius ^2 is 9, thus

(x+3)^2*(y-2)^(2)=9

this is the answer, and the option that has it is answer is option 1

What is the explicit formula for the sequence?
7, 2, –3, –8, –13, . . .

Answers

Answer: Choice A,  [tex]a_n = -5n+12[/tex]

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

Explanation:

[tex]a_1 = 7[/tex] is the first term

[tex]d = -5[/tex] is the common difference, telling us to add -5 to each term to get the next term. This is the same as subtracting 5 from each term

The nth term of the arithmetic sequence is,

[tex]a_n = a_1 + d(n-1)\\\\a_n = 7 + (-5)(n-1)\\\\a_n = 7-5(n-1)\\\\a_n = 7-5n+5\\\\a_n = -5n+12\\\\[/tex]

----------------

As a check, let's plug in n = 4 and we should get -8 as our fourth term

[tex]a_n = -5n+12\\\\a_4 = -5(4)+12\\\\a_4 = -20+12\\\\a_4 = -8\\\\[/tex]

so that confirms that portion of the sequence. I'll let you check the other values.

I don’t need you to explain just answer.

Answers

Y-intercept:

To find the y-intercept, where the line crosses the y-axis, you need to find the value of y when x is 0.

Slope:

To find the slope of the line, use the equation:

(y₂ - y₁)/(x₂ - x₁)

where (x₁, y₁) is one point on the line and (x₂, y₂) is a different point on the line.

Equation:

y = (y-intercept) + x(slope)


Find x in the following right triangle

Answers

a squared + b squared = c squared

576+100=c squared

676=c squared

c squared = 26

hope it helps

A flight is plotted on a map having the scale
1 inch = 400 miles. On the map it is 9 72
inches from point A to point B. If a plane flies
this distant at the speed of 300 mph, how
long will the trip take?
inu​

Answers

Answer:

Step-by-step explanation:

9.72*400

= 3888 miles

Inform me if I am right

Add.
3x2 - 5x+1
2x2 +9X-6
+
A. 5x2 + 4x + 7
B. 5x2 - 4x + 5
C. 5x2 + 4x-5
D. 5x2 + 14x-5

Answers

Answer:

C

Step-by-step explanation:

3x2 - 5x+1 + 2x2 +9x-6

Combine like terms

5x2+4x-5 which is C

You are welcome and don't for get to click THANKS

The answer is c no cap

Find the volume of this problem

Answers

Answer:

Step-by-step explanation:

diameter = 6 in

r = 6/2 = 3 in

h = 11 in

Volume of cylinder = πr²h

                                = 3.14*3*3*11

                                = 310.86 in³

Joey can eat a pound and a half of ribs in 45 minutes. How many minutes would it take Joey to eat five pounds of ribs at the same rate?

Answers

Answer: 150 minutes

Step-by-step explanation:

1.5 pounds in 45 min

5 pounds in X times

Using proportionality:

[tex]\frac{1.5}{45} =\frac{5}{x} \\x=\frac{5*45}{1.5} \\x=150[/tex]

Given sin(−θ)=−16 and tanθ=−35√35.

What is the value of cosθ?


A) −35√6

B) −35√210

C) 35√6

D) 35√210

Answers

Answer:

D. -√35/6

Step-by-step explanation:

Sandra and Jenny spend a certain amount of money from their money box each month to buy plants. The table (function 1) shows the relationship between the amount of money (y) remaining in Sandra’s money box and the number of months (x):
Number of Months Amount Remaining (in $)
(x) (y)


1 50

2 45

3 40

4 35

The equation (function 2) shows the relationship between the amount of money, y, remaining in Jenny’s money box and the number of months, x:

Function 2
y = −6x + 50

Which statement explains which function shows a greater rate of change?
Function 2 shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.
Function 2 shows a greater rate of change because Jenny spends $50 each month and Sandra spends $15 each month.
Function 1 shows a greater rate of change because Sandra spends $15 each month and Jenny spends $44 each month.
Function 1 shows a greater rate of change because Sandra spends $5 each month and Jenny spends −$6 each month.

Answers

Answer: “Function two shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.”

Michael started a savings account with $100. After 6 weeks, he had $140, and after 12 weeks, he had $260. What is the rate of change of money in his savings account per week?
this question looks easy but nothing makes sense to me second half didn't line up with my answer

Answers

Answer:

Rate of change of money in Michael's account will be $20 per week.

Step-by-step explanation:

If we draw a graph for the duration of investment on x-axis and amount in the account on y-axis, ordered pairs for both the conditions will be,

After 6 weeks, amount in the account = $140

Ordered pair : (6, 140)

After 12 weeks, amount in the account = $260

Ordered pair : (12, 260)

Rate of change in hi account per week = [tex]\frac{\triangle y}{\triangle x}[/tex]

                                                                 = [tex]\frac{260-140}{12-6}[/tex]

                                                                 = [tex]\frac{120}{6}[/tex]

                                                                 = $20 per week

Therefore, rate of change of money in Michael's account will be $20 per week.

PLEASE HELP ASAP!!
Kaylee solves the equation below by first squaring both sides of the equation.

[tex]1-y=\sqrt{2y^{2} -7}[/tex]

What extraneous solution does Kaylee obtain?

y=???

Answers

Answer:

2

Step-by-step explanation:

Its an extraneous solution, not a normal solution. It shouldn't be -4, it should be 2.

The extraneous solution obtained by Kaylee is y = 4.

To solve the equation, let's follow Kaylee's approach and square both sides:

[tex](1 - y)^2 = (2y^2 - 7)[/tex]

Expanding the left side:

[tex]1 - 2y + y^2 = 2y^2 - 7[/tex]

Rearranging the equation and combining like terms:

[tex]y^2 - 2y^2 + 2y - 1 - 7 = 0\\\\-y^2 + 2y - 8 = 0[/tex]

Now, to solve this quadratic equation, we can factor it:

-(y - 4)(y + 2) = 0

Setting each factor equal to zero:

y - 4 = 0   or   y + 2 = 0

Solving for y in each equation:

y = 4   or   y = -2

However, we need to check if these solutions are extraneous by substituting them back into the original equation:

For y = 4:

[tex]1 - 4 = \sqrt{2(4^2) - 7}\\\\-3 = \sqrt{32 - 7}\\\\-3 = \sqrt{25}[/tex]

-3 ≠ 5

For y = -2:

[tex]1 - (-2) = \sqrt{2(-2^2) - 7}\\\\3 = \sqrt{8 - 7}\\\\3 = 1[/tex]

From the above analysis, we see that when y = 4, it leads to an extraneous solution, as it does not satisfy the original equation.

Therefore, the extraneous solution obtained by Kaylee is y = 4.

To know more about extraneous solution, refer here:

https://brainly.com/question/32777187

#SPJ2

which is not an equation of the line going through (3, -6) and (1, 2)


a. y-2=-4(x-1)

b. y-1=_4(x-2)

c. y=-4x+6

d. y+6=-4(x-3)

Answers

The equation is not going to make sence

Answer:

The answer is B.

Step-by-step explanation:

Just took the quiz on A P E X .

A textbook store sold a combined total of 368 psychology and sociology textbooks in a week. The number of psychology textbooks sold was three times the
number of sociology textbooks sold. How many textbooks of each type were sold?
Number of psychology textbooks sold: 1
Number of sociology textbooks sold:

Answers

Step-by-step explanation:

Total books = 368.

Sociology books = 92.

Psychology books = 3 times sociology books

= 3 x 92 = 276

Total = 276 + 92 = 368

:))))))))))))))))))))​

Answers

Answer:

C

Step-by-step explanation:

[tex]48 \geqslant 6 - 7a \\ 48 - 6 \geqslant - 7a \\ 42 \geqslant - 7a \\ a \geqslant \frac{ 42}{ -7} \\ a \geqslant - 6[/tex]

Hope this helps..

Answer:

C.  [tex] a \ge -6 [/tex]

Step-by-step explanation:

[tex] 48 \ge 6 - 7a [/tex]

Add 7a to both sides.

[tex] 7a + 48 \ge 6 [/tex]

Subtract 48 from both sides.

[tex] 7a \ge -42 [/tex]

Divide both sides by 7.

[tex] a \ge -6 [/tex]

Answer:   [tex] a \ge -6 [/tex]

A newspaper conducted a survey to find out how many high school students play video games. The two-way table below displays the data from the survey. Based on these data in the table, which statement is true? *

A. There were 2,451 boys surveyed, and about 29% of them play video games.
B. There were 2,996 girls surveyed, and about 45% of them play video games.
C. There were 5,447 students surveyed, and about 54% of them do not play video games.
D. There were 2,493 students surveyed, and about 34% of them are girls who do not play video games.

Answers

Answer:

Correct option is:

B. There were 2,996 girls surveyed, and about 45% of them play video games.

Step-by-step explanation:

Let us calculate the percentage step by step as per the options.

We are given the following:

1. Boys who do play video games = 1593

2. Boys who do not play video games = 858

3. Total boys = 2451

4. Girls who do play video games = 1361

5. Boys who do not play video games = 1635

6. Total boys = 2996

7. Total number of candidates = Total boys + Total girls = 5447

8. Total number of students, who play video games = 2954

9. Total number of students, who do not play video games = 2493

Percentage of boys who play video games:

[tex]\dfrac{1593}{2451} \times 100 = 64.99\%[/tex]

So, option A is not correct.

Percentage of girls who play video games:

[tex]\dfrac{1361}{2996} \times 100 = 45.43\%[/tex]

The percentage is near about 45%, so option B is correct.

Percentage of Total number of students, who do not play video games:

[tex]\dfrac{2493}{5447} \times 100 = 45.77\%[/tex]

So, option C is not correct.

Hence, correct answer is option B.

Answer:

Its b

Step-by-step explanation:

B , it just makes sense

Which of the following is the graph of y= -x-3?

Answers

Answer:

Step-by-step explanation:

Which phrase describes a model in science?

a structure that is always built to be an exact copy of an object
a structure that is used to represent a complex system
several structures that always represent different things
something that is unique and does not imitate an object

Answers

The correct answer is B. A structure that is used to represent a complex system

Explanation:

A scientific model is a structure or set of concepts that aim at representing a natural phenomenon or system. This means a scientific model is not created to be an exact copy of the system but rather to act as a representation, which helps scientists to explain or understand the functions and elements of a system. For example, by creating a model of a specific ecosystem, scientists can better understand the interactions between living organisms in the ecosystem, even though the model is not an exact model of the real ecosystem. According to this, a model in science is "A structure that is used to represent a complex system"

Answer:

B. a structure that is used to represent a complex system

Step-by-step explanation:

just did the quiz on ed


Question: Imagine that a family of three (Alice, Bill, and Charlie) are
playing a card game at home two nights in a row. The chance that any one
of them will win is 1/3. a.) Using A for Alice, B for Bill, and C for Charlie, what
are the outcomes for two consecutive nights of playing card. (Ex. AA
means Alice won the first night and the 2nd night) *

Answers

Answer: (AA, AB, AC, BA, BB, BC, CA, CB, CC)


Explanation: Since e are only looking at the outcomes, there are no numbers needed. However, it is worth noting that there 9 possible outcomes.

Also, it would be helpful to use a tree diagram on problems like this, which is simply a visual representation of the outcomes (aka sample space).

The volume of a cone is 201.92 cubic units. If a cylinder has the same height and radius as a cone what is it’s volume in cubic units?

Answers

Answer:

Cone: 201.92=π×r^2×h×1/3

Cylinder: V=π×r^2×h

So you can see that there is No difference between the two equations except from the Factor 1/3. Without This Factor the volume of the cone would be three Times as big. Therefore, to calculate the Volume of the cylinder, you have do This:

201.92×3

Step-by-step explanation:

Answer:

Anwser is (B)

Step-by-step explanation:

Cone: 201.92=π×r^2×h×1/3

Cylinder: V=π×r^2×h

So you can see that there is No difference between the two equations except from the Factor 1/3. Without This Factor the volume of the cone would be three Times as big. Therefore, to calculate the Volume of the cylinder, you have do This:

A marine biologist is interested in the daily percent intake of a particular nutrient and how it relates to growth of tiger
shrimp. She finds the growth of the tiger shrimp, G, is dependent on the daily percent intake of this nutrient, X, and can be
modeled by the function
Go) = 2 +7x.​

Answers

Answer:

See picture attached

Step-by-step explanation:

The missing question is:

Draw the graph of the growth function by plotting its G-intercept and another point.

Given the function:

G(x) = 2 + 7x

its G-intercept is found when variable x is equal to zero.

G(0) = 2 + 7(0) = 2

Then, the G-intercept is point (0, 2)

To graph a line, two points are needed. Replacing x = 1 into the equation, we get:

G(1) = 2 + 7(1) = 9

So, point (1, 9) is on the line. The graph of the function is the line that passes through these two points, as can be seen in the picture attached.

Easy 50 points. Graph solutions with picture.

Answers

Answer:

(-1,-4)

Step-by-step explanation:

The system of equations are given on a graph. The lines cross at coordinate (-1,-4). This would the the solution of the equations.

The system's solution should be (-1,-4).

Answer:

-1,-4

Step-by-step explanation:

The equation of lines shows the two points

and it cross in the coordinates(-1,-4)

so

solution is( -1,-4)

Using Equations to Compare Linear Functions
Consider the function and its inverse:
f(x) =
) = x -2
-(x) = (x + 2)
The slope, a, of the inverse function is
and the x-intercept of the inverse function is at x =
Intro

Answers

Answer:

[tex]a=3[/tex] and the x-intercept of the inverse function is [tex]x=-2[/tex]

Step-by-step explanation:

Given:

[tex]f(x)=\frac{x}{3}-2[/tex]

[tex]f^{-1}(x)=a(x+2)[/tex]

To find: slope, a, of the inverse function and the x-intercept of the inverse function

Solution:

Let [tex]y=f(x)=\frac{x}{3}-2[/tex]

[tex]y=\frac{x}{3} -2\\\frac{x}{3}=y+2\\x=3(y+2)\\[/tex]

So, [tex]f^{-1}(x)=3(x+2)[/tex]

On comparing [tex]f^{-1}(x)=a(x+2)[/tex] with [tex]f^{-1}(x)=3(x+2)[/tex], [tex]a=3[/tex]

To find the x-intercept of the inverse function, put [tex]f^{-1}(x)=0\Rightarrow 3(x+2)=0\Rightarrow x=-2[/tex]

The slope, a, of the inverse function is  3 , and the x-intercept of the inverse function is at x =  -2 .

I will give the brainiest answer

Answers

Answer:

D

Step-by-step explanation:

If you draw the shape in D and assemble it you will get the answer

btw please mark brainliest

If you draw the shape D and answer it, it is correct

help help help help help help help ​

Answers

Answer:

The answer would be C

Step-by-step explanation:

The function g is defined by g(x) =
x + 5
4x + 3
Find g (5a)

Answers

The answer is 23 4(5) + 3 = 23

14. question in attachment

Answers

[tex]answer \\ = 2x - 2 \\ solution \\ given \: data = x + 1 ,\: 3x - 2 ,\: 2x - 5 \\ n(total \: number \: of \: items) = 3 \\ we \: have \: to \: find \: mean \: of \: the \: given \\ data \\ mean = \frac{x + 1 + 3x - 2 + 2x - 5}{3} \\ \: \: \: \: \: \: \: = \frac{x + 2x + 3x + 1 - 2 - 5}{3} \\ \: \: \: \: \: \: = \frac{6x - 1 - 5}{3} \\ \: \: \: \: = \frac{6x - 6}{3} \\ \: \: \: \: = 2x - 2 \\ hope \: it \: helps[/tex]

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