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
Fantom [35]
3 years ago
11

Ahab needs to mix 3.5 cups of liquid iced tea concentrate with 3 cups of water to make iced tea. Ahab has 21 cups of iced tea co

ncentrate. How much iced tea can he make?
Mathematics
1 answer:
liraira [26]3 years ago
4 0

Answer:

  39 cups

Step-by-step explanation:

If we assume that the 3.5 cups of concentrate make 3.5+3 = 6.5 cups of tea, we can use the proportion ...

  6.5/3.5 = x/21

to find the x cups of tea Ahab can make with 21 cups of concentrate.

Multiplying by 21, we get ...

  x = 21(6.5/3.5) = 39

Ahab can make 39 cups of tea.

You might be interested in
Round 12,351 to the nearest hundred
Basile [38]
The answer to the question is 12,400
3 0
3 years ago
Please help me ?????!
lina2011 [118]
B and a. it goes down about two lines and then has a very more steep incline
5 0
3 years ago
Three of four numbers have a sum of 22. If the average of the four numbers is 8, what is the fourth number ?
KatRina [158]
X+y+z=22

(x+y+z+t)/4=8
subsitute
x+y+z=22
(22+t)/4=8
multiplly by 4
22+t=32
subtract 22
t=10

the fourth number is 10
3 0
3 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
Which expression is equivalent to(2^3)^-5
Nady [450]

Answer:

hope this helps if not im sorry

Step-by-step explanation:

(2^3)^5

=2^(3*5)

= 2^15

3 0
3 years ago
Other questions:
  • You are having a conference call with the CEO of a paper company. You have interpreted the number of trees cut down versus profi
    12·1 answer
  • A quadrilateral circumscribed about a circle has angles of 80 90 94 and 96. find the measures of the four non overlapping arcs d
    8·1 answer
  • What is 10 × 0.816 ...............................................................................
    14·1 answer
  • 7. What is the surface area of the sphere?
    7·1 answer
  • Solve: 7 + 5 + 22 × 12 − 7 =
    5·2 answers
  • The teacher plans to buy pillowcases for his students. Each student needs 55 cm of material and there are 83 students. how many
    15·1 answer
  • How many solutions does this equation have 3x + 5 = 2x + 5 + x
    12·1 answer
  • Need help finding the answer.
    11·1 answer
  • What is the greatest common factor.
    12·1 answer
  • Select the correct answer.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!