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Ronch [10]
3 years ago
5

Television Videl watched 6 times as many hours of television over the weekend as Dineen. Together they watched a total of 14 hou

rs of television. How many hours of television did each person watch over the weekend
Mathematics
2 answers:
Alenkasestr [34]3 years ago
7 0
We can make this into an equation. 6 times as many means Videl watched 6 times as many as Dineen, and Dineen watched x hours.
Thus, 6x+x=14. Isolate and solve for x.
7x=14
Divide by 7 on both sides.
x=2.
Videl watched 6*2 hours, or 12 hours of TV.
Dinnen watched 2 hours of TV.
Bezzdna [24]3 years ago
5 0
2 Remainder 2 because 14 divided by 6 is 2 remainder 2
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The population of a town is 6500 and is increasing at a rate of 4% each year. Create a function for this scenario. At this rate,
Stella [2.4K]

Answer:

P_4 = 7604.08

Step-by-step explanation:

If the population increases at a rate of 4% per annum, then:

In year 1:

P_1 = P_0 + 0.04P_0

Where P_0 is the initial population and P_n is the population in year n

In year 2

P_2 = P_1 + 0.04P_1

It can also be written as:

P_2 = P_0 + 0.04P_0 + 0.04 (P_0 + 0.04P_0)

Taking out common factor P_0

P_2 = (1 + 0.04) (P_0) + 0.04P_0 (1 + 0.04)

Taking out common factor (1 + 0.04)

P_2 = (1 + 0.04) (P_0 + 0.04P_0)

Taking out again common factor P_0

P_2 = (1 + 0.04) (1 + 0.04) P_0

Simplifying

P_2 = P_0 (1 + 0.04) ^ 2


So

P_n = P_0 (1 + 0.04) ^ n

This is the equation that represents the population for year n

Then, in 4 years, the population will be:

P_4 = P_0 (1 + 0.04) ^ 4\\P_4 = 6500(1 + 0.04) ^ 4\\P_4 = 7604.08

3 0
3 years ago
Experimental data are collected as:
aliina [53]

Answer:

y = 1.00114x + 1.75243

Step-by-step explanation:

Given

The x and y values

Required

The regression line equation

Because of the length of the given data, I will run the analysis using online tools, then analyze the result.

From the analysis, we have:

\sum x = 5050

\sum y = 5231.1011

\bar x = 50.5

\bar y = 52.311

SSX = 83325 --- Sum of squares

SP = 83419.7626 --- Sum of products

The regression equation is calculated as:

y = ax + b

Where:

a = \frac{SP}{SSX}

So, we have:

a = \frac{83419.76}{83325}

a = 1.00114

b = \bar y - a * \bar x

b = 52.31 - (1.00114*50.5)

b = 1.75243

So:

y = ax + b becomes

y = 1.00114x + 1.75243

6 0
3 years ago
A falcon flies 300 kilometers per hour. A goose flies 140 kilometers per hour. If a falcon and a goose each fly for 2 hours, how
Mila [183]

Answer:

320

Step-by-step explanation:

Distance covered by falcon in 2 hours=300*2=600 km

Distance covered by goose in 2 hours=140*2=280 km.

Falcon flew 600-280=320 km more than goose

7 0
3 years ago
The mean of 4 numbers is 21. calculate the sum of the 4 numbers
Ugo [173]

Answer:

84

Step-by-step explanation:

The mean is calculated as

mean = \frac{sum}{count} , then

\frac{sum}{4} = 21 ( multiply both sides by 4 )

sum = 84

8 0
3 years ago
Find the circumference of the circle .the diameter is 6cm
Vinvika [58]

Answer:

18.84cm

Step-by-step explanation:

There is a formula which for the diameter is pie (3.14) times the diameter. Now if you have the radius it would be pie (3.14) times 2 times whatever the radius would be. Now you could use either formula for this, just divide the diameter by two to get 3.

So 3x2x3.14=18.84cm

So then you could just multiply 6x3.14 and still get 18.84cm

5 0
3 years ago
Read 2 more answers
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