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
lyudmila [28]
3 years ago
13

Emily is making a punch that contains 75% apple juice and the rest ginger ale. The punch has 2 liters of ginger ale.

Mathematics
1 answer:
Flura [38]3 years ago
7 0
For this item, we may let x be the number or liters of apple juice present in the ginger ale. The total volume of the punch then becomes
                                 total volume = 2 + x 
Then, considering that 75% of this is apple juice,
                                  x/(2 + x) = 0.75
                                   x = 0.75(2 + x) = 1.5 + 0.75x
                                          x = 1.5 + 0.75x
Also, for this item, the vaue of x is equal to 6 liters. 
You might be interested in
NEED HELP ASAP!!!!!!!!!!!
zhenek [66]

The equation  x=tan^{-1}(\frac{12}{5}) can be used to find the measure of ∠BAC ⇒ 2nd answer

Step-by-step explanation:

Let us revise the trigonometry ratios in the right triangle ABC, where B is the right angle, AC is the hypotenuse, AB and BC are the legs of the triangle

The trigonometry ratios of the ∠BAC, the opposite side to this angle is BC and the adjacent side to it is AB are

  • sin(BAC)=\frac{opposite}{hypotenuse}=\frac{BC}{AC}
  • cos(BAC)=\frac{adjacent}{hypotenuse}=\frac{AB}{AC}
  • tan(BAC)=\frac{opposite}{adjacent}=\frac{BC}{AB}

In Δ ABC

∵ ∠ BCA is a right angle

∴ The hypotenuse is AB

∵ The adjacent side to ∠CAB is AC

∵ The opposite side to ∠CAB is BC

∵ AB = 13 units ⇒ hypotenuse

∵ CB = 12 units ⇒ opposite

∵ AC = 5 units ⇒ adjacent

- Let us find the trigonometry ratios of angle BAC

∵ m∠CAB is x

∵ sin(x)=\frac{BC}{AB}

∴ sin(x)=\frac{12}{13}

∴ x=sin^{-1}(\frac{12}{13})

∵ cos(x)=\frac{AC}{AB}

∴ cos(x)=\frac{5}{13}

∴ x=cos^{-1}(\frac{5}{13})

∵ tan(x)=\frac{BC}{AC}

∴ tan(x)=\frac{12}{5}

∴ x=tan^{-1}(\frac{12}{5})

The equation  x=tan^{-1}(\frac{12}{5}) can be used to find the measure of ∠BAC

Learn more:

You can learn more about the trigonometry ratios in brainly.com/question/4924817

#LearnwithBrainly

4 0
3 years ago
Read 2 more answers
Suppose sin(A) = 1/4. use the trig identity sin^2(A)+cos^2(A)=1 to find cos(A) in quadrant II. around to ten-thousandth.
larisa86 [58]

In quadrant II, \cos(A) will be negative. So

\sin^2(A) + \cos^2(A) = 1 \implies \cos(A) = -\sqrt{1 - \sin^2(A)} = -\dfrac{\sqrt{15}}4 \approx \boxed{-0.9682}

8 0
1 year ago
The price for the items ordered at lunch was $23.45. How much would the price be after tax and tip if the tax rate is 8% and you
kiruha [24]
Cost of items = $23.45

Tax = 8% of $23.45 = 0.08*23.45 = $1.88
Tip = 20% of $23.45 = 0.2*23.45 = $4.69

Total cost = 23.45 + 1.88 + 4.69 = 30.02

Answer: $30.02

8 0
3 years ago
Which value for x makes the sentence true?<br><br> 2.45 + x = 3.64
Scrat [10]

Answer:

1.19

Step-by-step explanation:

You're trying to figure out what x is here.

So you'll want to isolate the x. That means, get it alone.

Since both sides are equivalent, when you subtract 2.45 from the x side, you also subtract it from the other side too.

x = 3.64 - 2.45

x = 1.19

7 0
3 years ago
Read 2 more answers
Math Help Don't Answer If Your Unsure of the answer please?<br> 2nd and 3rd pic is one question
vovangra [49]
If it si proportional
y/x=k or y=kx
if k is same throuout, then it is proportional
find their ratio
so
0/0=undefined, ignore
2/3=k
4/6=2/3=k
6/9=2/3=k
yes, proportional

y=kx
3=2k
1=2/3k
2/3 is answer



proprtional (2nd and 3rd)
graph is proprtional, first table is poroprtional
other ones are not
2nd picture is proportional, 3rd is not


(x,y), y is rise, x is run
unit rate is rise/run=15/6=5/2=2.5
unit rate is 2.5



unit rate is (1/2)/(2/5)=(1/2)(5/2)=5/4=1.25
unit rate is 1.25
7 0
3 years ago
Other questions:
  • What is triangle similarity
    5·1 answer
  • Change the fraction 4/13 to a decimal
    10·2 answers
  • The original loan amount is referred to as the______.
    6·2 answers
  • Using soh cah toa find length of WX and round to the nearest tenth of a foot?
    13·2 answers
  • Carl recorded the number of customers who visited his new store during the week:
    14·1 answer
  • Maria bought seven boxes a week later half of all her boxes were destroyed in a fire there are only 22 boxes left with how many
    13·1 answer
  • Routine and non routine problems involving integers
    6·1 answer
  • Solve: <br><br> 3 ÷ 1/6<br><br> Please help!
    8·2 answers
  • Solve the equation –15 + 10y = 25 for y.
    9·1 answer
  • Can anyone tell me how you could describe this answer to the equation?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!