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
musickatia [10]
3 years ago
12

4. Kristina is allowed to have a friend sleep over every 3rd weekend,

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
3 0

Answer:

6

Step-by-step explanation:

You must find the least common multiple of their schedules.

The numbers 3 and 2 are their own prime factors, so the least common multiple of 3 and 2 is 6.

Six weekends must pass until they can both have someone over on the same night.

The number line below shows that the first time their sleepovers coincide is Week 6.

You might be interested in
What is the equation of the line that has a slope of 13 and goes through the point (6,−2)?
dybincka [34]

Answer:

<h2>            y = 13x - 80  </h2>

{Or, if you mean slope of 1/3:  y = ¹/₃x - 4 }

Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

m = 13

(6, -2)    ⇒   x₀ = 6,  y₀ = -2

The point-slope form of the equation:

y + 2 = 13(x - 6)

So:

y + 2 = 13x - 78        {subtract 2 from both sides}

y = 13x - 80            ←  the slope-intercept form of the equation

{Or, if you mean slope of ¹/₃:  m = ¹/₃

The point-slope form of the equation: y + 2 = ¹/₃(x - 6)

y + 2 = ¹/₃x - 2         {subtract 2 from both sides}

y = ¹/₃x - 4             ←  the slope-intercept form of the equation}

5 0
3 years ago
A group of 3 explorers travelled through the new Guinea rain forests with 3 Marind-Anim guides. Their inflatable dinghy could on
Lesechka [4]

Answer:

Hello,

Step-by-step explanation:

Let's assume A,B,C the 3 explorers and X,Y,Z the 3 guides.

Only A and X can operate the boat.

\begin{array}{|c|c|c|}border\ 1 &boat&border\ 2\\ABCXYZ&-&-\\BCYZ&AX&-\\BCYZ&A&X\\BCY&AZ&X\\BCY&A&XZ\\CY&AB&XZ\\CY&X&ABZ\\Y&CX&ABZ\\Y&X&ABCZ\\-&XY&ABCZ\\-&-&ABCXYZ\\\end{array}

I hope you will understand the travels

4 0
2 years ago
2logx=3-2log(x+3) solve for x​
AVprozaik [17]

Answer:

\large\boxed{x=\dfrac{-3+\sqrt{40+10\sqrt{10}}}{2}}

Step-by-step explanation:

2\log x=3-2\log(x+3)\\\\Domain:\ x>0\ \wedge\ x+3>0\to x>-3\\\\D:x>0\\============================\\2\log x=3-2\log(x+3)\qquad\text{add}\ 2\log(x+3)\ \text{to both sides}\\\\2\log x+2\log(x+3)=3\qquad\text{divide both sides by 2}\\\\\log x+\log(x+3)=\dfrac{3}{2}\qquad\text{use}\ \log_ab+\log_ac=\log_a(bc)\\\\\log\bigg(x(x+3)\bigg)=\dfrac{3}{2}\qquad\text{use the de}\text{finition of a logarithm}\\\\x(x+3)=10^\frac{3}{2}\qquad\text{use the distributive property}

x^2+3x=10^{1\frac{1}{2}}\\\\x^2+3x=10^{1+\frac{1}{2}}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\x^2+3x=10\cdot10^\frac{1}{2}\qquad\text{use}\ \sqrt[n]{a}=a^\frac{1}{n}\\\\x^2+3x=10\sqrt{10}\qquad\text{subtract}\ 10\sqrt{10}\ \text{from both sides}\\\\x^2+3x-10\sqrt{10}=0\\\\\text{Use the quadratic formula}\\\\ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\a=1,\ b=3,\ c=-10\sqrt{10}\\\\b^2-4ac=3^2-4(1)(-10\sqrt{10})=9+40\sqrt{10}\\\\x=\dfrac{-3\pm\sqrt{40+10\sqrt{10}}}{2(1)}=\dfrac{-3\pm\sqrt{40+10\sqrt{10}}}{2}\\\\x=\dfrac{-3-\sqrt{10+10\sqrt{10}}}{2}\notin D

6 0
3 years ago
NEED HELP ASAPInstructions: Find the length of the missing sides. Round your answers to the
Pie

Answer:

x = 9.4

y = 17.7

Step-by-step explanation:

Given: The figure

Required: Find x and y

The relationship between length x, length 15 and angle 32 is as follows:

tan \theta = \frac{opp}{adj}

So, we have:

tan\ 32= \frac{x}{15}

Cross multiply:

x =15*tan\ 32

x = 15 * 0.6248693519

x = 9.3730402785

x = 9.4 --- approximated

Similarly:

The relationship between length y, length 15 and angle 32 is as follows:

cos \theta = \frac{adj}{hyp}

So, we have:

cos\ 32= \frac{15}{y}

Cross Multiply:

y * cos\ 32= 15

Solve for y

y = \frac{15}{cos\ 32}

y = \frac{15}{0.84804809615}

y = 17.6876760506

y = 17.7 --- approximated

8 0
3 years ago
What are perfect numbers between 1 and 28
snow_lady [41]

Answer:

i was trying to help u but ok delete my answer

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Can someone help with this question i need it done asap!! will give you all my points and brainliest.
    8·1 answer
  • Solve 6^4y = 6^3y−2 please help
    9·1 answer
  • What is 1/4x+5=4 ??
    11·2 answers
  • What is 13 4/5 - 10 3/11​
    7·2 answers
  • Need help as soon as possible please
    9·2 answers
  • Convert these percent to a decimal 89.2%, 5%, 177%, 78.4%, 7%, and 46.3%
    7·2 answers
  • Sal and two of his friends rent an apartment together. Their total cost to move in included first month's rent, last month's ren
    13·2 answers
  • Y-3/4x=-3/3 what does y equal
    14·1 answer
  • I. Collect data from several fast food chains on the number of fat calories and grams of saturated fat in menu items. Record at
    13·1 answer
  • Stephanie has $152 in the bank. She withdraws $20 Then she deposits $84 Write an addition expression to represent this stiuation
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!