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noname [10]
3 years ago
13

Gavin drank 3/4 of a liter of orange juice from a container, which was 3/8 of the orange juice that was originally in the contai

ner. How much orange juice was originally in the container?
Mathematics
1 answer:
Sliva [168]3 years ago
7 0
X= amount of orange juice in the beginning
3/4=(3/8)X
.75=.375X
.75/.375=X
X=2
there were 2 liters in the beginning 
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3.
Sedbober [7]

The equations that could represent the quantities and constraints in this  situation are:

m = 12(15) ⇒ answer a

4n = c ⇒ answer c

b = 2(3) + 3(4.50) ⇒ answer e

Step-by-step explanation:

Jada plans to serve milk and healthy cookies for a book club meeting

  • She is preparing  12 ounces of milk and 4 cookies per person
  • There are 15 people in  the club
  • A package of cookies contains 24 cookies and costs $4.50
  • A 1-gallon jug of  milk contains 128 ounces and costs $3

n represents number of people in the club,  

m represents the ounces of milk

c represents the number of cookies

b represents Jada's budget in dollars

∵ m represents the ounces of milk

∵ She is preparing  12 ounces of milk

∵ There are 15 person in the club

∴ m = 12(15)

∵ She is preparing 4 cookies per person

∵ c represents the number of cookies

∵ n represents the number of people in the club

∴ 4n = c

∵ A package of cookies contains 24 cookies

∵ She needs = 15 × 4 = 60 cookies

∵ 60 ÷ 24 = 2.5

∴ She needs to buy 3 packages of cookies

∵ She needs = 15 × 12 = 180 ounces of milk

∵ A 1-gallon jug of  milk contains 128 ounces

∵ 180 ÷ 128 = 1.406

∴ She needs to buy 2 A 1-gallon jug of milk

∵ The cost of each jug of milk is $3

∵ The cost of each package of cookies is $4.50

∵ b represents Jada's budget in dollars

∴ b = 2(3) + 3(4.50)

The equations that could represent the quantities and constraints in this  situation are:

m = 12(15) ⇒ answer a

4n = c ⇒ answer c

b = 2(3) + 3(4.50) ⇒ answer e

Learn more:

You can learn more about word problems in brainly.com/question/3950386

#LearnwithBrainly

7 0
3 years ago
Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places
sashaice [31]

Answer:

θ = 60° or θ = 120°, which in radians is equivalent to θ = π/3 rad or θ = 2π/3 rad.


Explanation:


The given equation is sin θ = (√3)/2


Solving that equation is finding the value of the angle, θ, whose sine is (√3)/2.


The function that returns the value of the angle whose sine is  (√3)/2 is the inverse function of the sine and it has a special name: arc sine or arcsin.


Hence, θ = arcsin (√3)/2.


You can use your knowledge of the notable angles to solve for that equation.


1) The function sine is positive in first and second quadrants.


2) The angles in the first quadrant go from 0° to 90°.


3) The sine of 60° (√3)/2, Hence the first value of θ is 60°


4) The angles in the second quatrant go from 90° to 120°. 60° is  the reference angle in the second quadrant, and the angle searched is

  • 180° - reference angle = 180° - 60° = 120°. So, 120° is the other solution of the equation.

5) You can convert both angles to radians using the equivalence

  • π radians = 180° ⇒ 1 = π rad / 180°
  • 60° = 60° × π rad / 180° = π/ 3 rad
  • 120° = 120° × π rad / 180° = 2π/3 rad

6) You can verify that sin 60° = (√3)/2 = sin 120° .

4 0
3 years ago
B
labwork [276]

Answer:

SAS

Step-by-step explanation:

AC ≅ EC (Given), ∠ACB ≅∠ECD ( Vertical Angles), and BC ≅ DC

7 0
3 years ago
Can someone help me with my last question
slega [8]
What you need to do is that you plug p=3 into the expression [(5.4p+5)+(8+3.2p)]/2 and you have:
[(5.4*3+5)+(8+3.2*3)]/2
= (21.2+ 17.6)/2
= 38.8/2
= 19.4

The average of the two boys' points is p=3 is 19.4 points~

4 0
3 years ago
Someone help its multiple choice im so confused
Viktor [21]
A, he had just eaten
B, he was shot in the back
E, the arrow went under his left armpit

This all is correct considering the paragraph i just read!

I wish you luck on the rest of your assessment!

mark this as brainliest if i helped at all!! :)
5 0
3 years ago
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