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kiruha [24]
3 years ago
13

Bruce has a bottle that contains 60% of lemon juice and the rest water. The bottle has 1 liter of water. PART A: Write an equati

on in one variable that can be used to find the total number of liters of lemon juice and water in the bottle. Define the variable used in the equation.Part B: How many liters of lemon juice are present in the bottle? Show your work.
Mathematics
1 answer:
Lelechka [254]3 years ago
6 0
Part A:
there is 60% of lemon juice in a 1 liter of water
so 60% *OF* the 1 liter
( of technically means * in mathematics)
so 
60% * 1 liter
or 0.6 * 1 liter
Now to find the total number of liters of lemon juice and water in the bottle
(0.6*1)+x= 1
(x being the amount of water)

Part B: We can calculate the number of liters of lemon juice that are present in the bottle
60% * 1
0.6 * 1
that is 0.6
So there is 0.6 liters of lemon juice in the bottle

Hope this helps :)
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2 points
saul85 [17]

Given:

Width of rectangular prism = 20 ft

height of rectangular prism = 12 ft

Length of rectangular prism = 45 ft

Cylindrical diameter = 20 ft

To find:

Volume of the tent

Solution:

Volume of the rectangular prism = length × width × height

                                                       = 45 × 20 × 12

Volume of the rectangular prism = 10800 ft³

Radius of cylinder = 20 ÷ 2 = 10 ft

Height of cylinder = length of rectangular prism

Volume of cylinder = \pi r^{2} h

Volume of half cylinder = \frac{1}{2} \pi r^2h

                                      $=\frac{1}{2} \times 3.142\times 10^2 \times45

Volume of half cylinder = 7069.5 ft³

Volume of tent = volume of rectangular prism + volume of half cylinder

                         = 10800 ft³ + 7069.5 ft³

                         = 17869.5 ft³

                         = 17869 ft³ (nearest cubic foot)

The volume of the tent is 17869 cubic feet.

6 0
3 years ago
A P E X
alexgriva [62]

Answer:

504

step by step : 14x18=252. 20x18=360. 18x18=324. 58x18=1044. 71x18= 1278. 36x18=648. 28x18=504.

Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.

504

6 0
2 years ago
Which answer includes a function, its inverse, and a dashed line that verifies the relationship?
just olya [345]

Answer:

the first one

Step-by-step explanation:

yellow line is an exponential graph

blue line is a log graph

the purple in the middle is a sort of "combo" of the two

3 0
2 years ago
Read 2 more answers
In this exercise, we show that the orthogonal distance d from the plane p with equation
kodGreya [7K]
Use the cross product to find the orthogonal vector, solve the parametric equation to see at which (t) the point + orthogonal vector intersects the plane, the distance is (t) * norm of vector
3 0
3 years ago
Solve for x please refer to image
QveST [7]

Answer:

x = 40

Step-by-step explanation:

Sum of interior angle of an n-polygon = (n - 2)*180

The polygon given is pentagon with 5 sides.

Sum of the polygon = (5 - 2)*180 = 540°

Therefore, sum of all its interior angles would be:

5x + 150 + (3x - 30) + 70 + (2x - 50) = 540°

Solve for x

5x + 150 + 3x - 30 + 70 + 2x - 50 = 540

Collect like terms

5x + 3x + 2x + 150 - 30 + 70 - 59 = 540

10x + 140 = 540

10x = 540 - 140 (Subtraction property of equality)

10x = 400

x = 400/10 (division property of equality)

x = 40

6 0
2 years ago
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