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choli [55]
3 years ago
12

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

How much orange juice was originally in the container? (pls explain how you get the answer and why you need to do this to get this answer)
Mathematics
1 answer:
Nesterboy [21]3 years ago
6 0

Answer:

2 liters

Step-by-step explanation:

Let

x ----> amount of the orange juice originally in the container in liters

we know that

The amount of the orange juice originally in the container multiplied by 3/8 must be equal to 3/4 of a liter of orange juice

so

The linear equation that represent this situation is

\frac{3}{8}x=\frac{3}{4}

solve for x

x=24/12=2\ L

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Novay_Z [31]

Answer:

x = - 8, y = 2

Step-by-step explanation:

x =  - 4y......(1) \\ x + 5y = 2....(2) \\ plug \: x =  - 4y \: in \: equation \: (2) \\  - 4y + 5y = 2 \\ y = 2 \\ plug \: y = 2 \: in \: equation \: (1) \\ x =  - 4(2) \\ x =  - 8\\

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Value of peters house has risen 20% a year for the last three years. If the value of peters home three years ago was $120 thousa
notka56 [123]

Answer:

The value now = $207,360

Step-by-step explanation:

Rate of increase = 20% per year = 20/100 = 0.2 per year

value 3 years ago = $120,000

interest at year 1:

20% of 120,000

= 0.2 × 120,000 = 24,000

Value at the end of year 1

= initial value + interest

= 120,000 + 24,000 = $144,000

In year 2:

20% of 144,000

= 0.2 × 144,000 = 28,800

Value at the end of year 2:

144,000 + 28,800 = $172,800

In year 3

0.2 × 172,800 = 34,560

Value at the end of year 3:

34,560 + 172,800 = $207,360

8 0
3 years ago
The value of Q is given by the relation Q = 17m. If Q and m are integers with Q greater than 150 and less than 160, then which o
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Answer: Value of m = 9

Step-by-step explanation:

Given that the relationship between Q and m is;

Q = 17m

Make m the subject of formula

M = Q/17

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M = 151/17

M = 8.88

If Q = 159

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PtichkaEL [24]

Answer:

  1. 5
  2. 6
  3. 6
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Remember the decimal <em>hundredths</em> rounding ruleset.

  • If a decimal is below .50, round down.
  • If a decimal is .50, round up.
  • If a decimal is above .50, round up.

View this array below to get a better image.

\left[\begin{array}{ccc}0.49(down)&0.50(up)&0.51(up)\end{array}\right]

So, for example, if you had 6.51, you would round that up to 7, and if you had 8.47, you would round that to 8

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An industrial psychologist consulting with a chain of music stores knows that the average number of complaints management receiv
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Answer: See explanation

Step-by-step explanation:

1. Use the five steps of hypothesis testing.

Step 1: The aim of the research is to conduct the five steps of hypothesis testing.

Step 2:

Null hypothesis: H0 u= 4

Population mean: H1 u = 4

Alternate hypothesis: u ≠ 4

Population mean: u ≠ 4

Step 3 and step 4 are attached.

Step 5: Based on the calculation, the calculated value of t is less than the t critical value, therefore, the null hypothesis will be failed to be rejected.

2. Sketch the distributions involved

This has been attached.

3. Explain the logic of what you did to a person who is familiar with hypothesis testing, but knows nothing about t tests of any kind.

The distribution is "t".

The means is tested by using T-test.

Chi-square is used to test the single variance.

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