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
Leni [432]
3 years ago
12

Ethan sold 2 3 gallon of lemonade. Kayla sold some lemonade too. Together, they sold 1 1 4 gallons. Who sold more lemonade, Etha

n or Kayla? How much more? Label the total amount of lemonade Ethan and Kayla sold
Mathematics
1 answer:
zhenek [66]3 years ago
5 0

Step-by-step explanation:

Ethan sold 2/3 gallon of lemonade.

Kayla sold some lemonade too.

Together they sold 1 1/4 gallons.

Subtract 2/3 from 1 1/4 as follows :

S=1\dfrac{1}{4}-\dfrac{2}{3}\\\\=\dfrac{5}{4}-\dfrac{2}{3}\\\\=\dfrac{7}{12}

So, Kayla sold 7/12 gallons of lemonade.

As 2/3 is more than 7/12, it means Ethan sold more lemonade.

\dfrac{2}{3}-\dfrac{7}{12}=\dfrac{1}{12}

It means Eathn sold 1/12 more lemonade.

You might be interested in
WILL GIVE BRAINLIESTTT
CaHeK987 [17]

Answer:

B

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
PLEEEEEEEEEASE HEEEEEEEEELP
morpeh [17]

Answer:

distance island dock to Dock A = 4.99 km

distance island dock to Dock K = 6.35 km

Step-by-step explanation:

Always make a scetch to visualize the situation.

You need to construct two triangle both with a streight angle, so you can use Pythagoras to calculate the unknown distances between the island dock L, and each of the other two docks A an K.

I chose to introduce an extra letter, the letter C. In total you have the letters A K L and the letter C.

The letter C has a streight angle of 90° between ACL and it has the same streight angle of 90° with KCL. It is crucial that you see that the distance of LC is exactly the same in triangle LAC and that LC has exactly the same distance in the other triangleLKC.

The distance between AK = 2.3 km.

I define the distance between K and point C as 2.3 + x, because the distance x is unknown.

KC = 2.3 + x

Further more, when you make a picture, you can see that the distance between A and point C = x.

From such a picture, it would show clearly, that K is further away in respect to L then point A. From the picture it would be clear that the angle of LKC is smaller then the angle of LAC, so LKC = 45° and LAC = 64°.

Because angle LKC = 45° and we choose C to have an angle of 90°, the TRIANGLE LKC must be a special triangle... In any triangle, the sum of the three angles together, must add up to 180° .

If that is true, then we have 45 + 90 + 45 (because that adds up to 180). Now that means triangle LKC must have two equal sides (because of the same angels of 45° ).

So we know the distance KC = LC and we already defined KC = 2.3 + x.

Now we know enough to solve the problem.

AK = 2.3 km

angle of LKC = 45°

angle of LAC = 64°

AC = x

KC = 2.3 + x

LC = KC

LC = 2.3 + x

Try to calculate the distance x by using tan. After that you can use Pythagoras to find the other distances.

tan(LKC) = ( LC ) / ( KC )

tan(LKC) = ( x+2.3 ) / ( x+2.3 )

That is not helpful. Let's try the other triangle...

tan(LAC) = LC / AC

tan(LAC) = ( x+2.3 ) / x

tan(64) = ( x+2.3 ) / x

Solve the equation which means you try to find the value for x.

x * tan(64) = ( x+2.3 )

tan(64) * x -x = 2.3

tan(64) * x - 1* x = 2.3

Try to get x outside of the braquets...

x* ( tan(64) - 1 ) = 2.3

x* (2.0503038415793 - 1 ) = 2.3

1.0503038415793 * x = 2.3

x = 2.3 / 1.0503038415793

x = 2.19

Now use Pythagoras a² + b² = c² in triangle LAC to find distance LA.

LA² = AC² + LC²

AC = x = 2.19

LC = 2.3 + x = 4.39

LA² = 2.19² + 4.39²

LA = SQRT( 4.79 + 20.16 )

LA = SQRT( 24.95 )

LA = 4.99 km

Now use Pythagoras a² + b² = c² in triangle LKC to find distance LK.

LK² = KC² + LC²

KC = 2.3 + x = 4.39

LC = 2.3 + x = 4.39

LK² = 4.39² + 4.39²

LK = SQRT( 20.16 + 20.16 )

LK = SQRT( 40.32 )

LK = 6.35 km

7 0
3 years ago
Given: JK tangent, KH=16, HE=12 Find: JK.
Y_Kistochka [10]

Answer: JK=8

Step-by-step explanation:

You can observe in the figure that JK is a tangent and KH is a secant and both intersect at the point K. Then, according to the Intersecting secant-tangent Theorem:

JK^2=KE*KH

You know that:

KH=KE+HE

Then KE is:

KE=KH-HE

KE=16-12

KE=4

Now you can substitute the value of KE and the value of KH into  JK^2=KE*KH and solve for JK. Then the result is:

JK^2=4*16\\JK^2=64\\JK=\sqrt{64}\\JK=8

7 0
3 years ago
Look at pic below... please do it.. need correct answer.. i will mrk brsinliest hurry.. need help..
galina1969 [7]

The answer to this question is B

5 0
3 years ago
Read 2 more answers
Inductive reasoning involves applying a general rule to a specific situation.
Elenna [48]
I believe the correct answer is true. Inductive reasoning involves applying a general rule to a specific situation. It <span>is a logical process in which multiple premises, all believed true or found true most of the time, are combined to obtain a specific conclusion. Hope this answers the question.</span>
5 0
3 years ago
Other questions:
  • Matt plans to put concrete on a rectangular portion of his driveway. The portion is 8 feet long and 4 inches high. The price of
    6·1 answer
  • The graph of the function f ( x) = /x + 3 / is translated 5 units down
    14·1 answer
  • 5 * 3/5 i need help please
    9·1 answer
  • Can someone help me plz​
    10·1 answer
  • Is this set closed or not closed under the operation ? Negative integers under multiplication
    6·1 answer
  • 1-z/z-7 - 8z-3/7-z subtract
    15·1 answer
  • Choose the option with the correct name of the segment/line/ray shown.
    10·1 answer
  • Determine the difference
    10·1 answer
  • No question, just whoever needs free answers.
    11·2 answers
  • Find the missing side length in the image below 12 18 and 10
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!