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Montano1993 [528]
3 years ago
5

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

ainer. How much orange juice was originally in the container?​
Mathematics
1 answer:
Lerok [7]3 years ago
5 0

Answer:

Originally there were 2 liters.

Step-by-step explanation:

--

3/8 of the orange juice = 3/4 liter

1/8 of the orange juice = 3/4 ÷ 3

1/8 of the orange juice = 3/4 x 1/3

1/8 of the orange juice = 1/4 liter

Find 8/8, which is one whole.

1/8 of the orange juice = 1/4 liter

8/8 of the orange juice = 1/4 x 8

8/8 of the orange juice = 2 liters

There were originally 2 liters of orange juice in the container

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The radius of a circle is 11 ft. Find the circumference of the circle.
lapo4ka [179]

Answer:

69.12 ft

Step-by-step explanation:

The formula for circumference of a circle is 2πr

= 2 × 3.142× 11

= 69.12

Hence the circumference of the circle is 69.12 ft

8 0
3 years ago
PQRS is a parralelogram. the position vector of Q R and S are 5i +7j, -3i-8j and -4i-6j. find the position vector of P
g100num [7]

The value of the variable x = 6 and y = 5. Then the position vector of P will be 6i + 5j.

<h3>What is the equation of a line passing through two points?</h3>

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

PQRS is a parallelogram. the position vector of Q R and S are 5i +7j, -3i-8j and -4i-6j.

Then the point of Q, R, and S will be (5, 7), (-3, -8), and (-4, -6).

Let the point P be (x, y).

We know that the slope of the line QS and PQ will be same and line is passing through (-3, -8).

y = 1.444x + C

-8 = 1.444 (-3) + C

C = -3.667

Then the equation will be

y = 1.444x – 3.667  …1

The slope of the line PQ and RS will be same and line is passing through (5, 7).

y = -2x + D

7 = -2 (5) + D

D = 17

Then the equation will be

y = -2x + 17  …2

By solving equation 1 and 2, we have

x = 6 and y = 5

Then the position vector of P will be

⇒ 6i + 5j

The graph is given below.

Learn more about straight-line equations here:

brainly.com/question/380976

#SPJ1

6 0
2 years ago
If m1=35° and m2=75°, what is m3?​
Sveta_85 [38]

Answer:

m3 should be 70°

all internal angles of a triangle add up to 180

180-35-75 = 70

4 0
3 years ago
Read 2 more answers
Melissa makes 9 dollars
RideAnS [48]
Knowing she makes $9 for each 1 hour, you know that if you'd need to find how much she made after 4 hours, you would do 9(4), giving you the answer of $36.
With this knowledge, you can replace the 4 with h.

9(h)=P

The reason why it's such a simple equation is because it's per hour and nothing else is being increased, decreased, or changed.

Hope this helps!
8 0
3 years ago
Challenge A warehouse store sells 5.5-ounce cans of tuna in packages of 8. A package of 8 cans
Stolb23 [73]

Answer:

Step-by-step explanation:

the warehouse is the best buy because you get 44oz off tuna but if you buy the three pack you get 19.5oz and if you buy the five pack from store you 22.5oz of tuna

so the warehouse has the best deal on tuna

4 0
3 years ago
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