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Anastasy [175]
3 years ago
12

Alan hikes 4.5 miles in 3 hours. Determine whether quantities (distance and time) vary directly or inversely and find the consta

nt of variation.
Mathematics
1 answer:
Mrac [35]3 years ago
3 0
V = x/t = 4.5 mil / 3 h = 1.5 mph
Since, v = 1.5 mph (or we can say that v is constant), distance and time vary directly and the constant of variation is 1.5 mph.
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Several surveys in the United States and Europe have asked people to rate their happiness on a scale of 3 = "very happy," 2 = "f
Rudik [331]

Answer:

Step-by-step explanation:

We have to find the reported happiness of person of family income of $25,000, $35,000 and $45,000

Given that the formula for finding relation between a people happiness and his income is

y = 0.065x - 0.613

a) find the happiness of person of family income os $25,000

we put x = 25 as in the equation above

y=0.065(25)-0.613\\\\=1.625-0.613\\\\=1.02 \approx 1

Hence, person happiness with with family income of $25,000 on a scale of 3 is y = 1

That means they come under catergory "not to happy"

b) Find the happiness of person of family income os $35,000

we put x = 35 as in the equation above

y=0.065(35)-0.613\\\\=1.667-0.613\\\\=1.667 \approx 1.7

Hence, person happiness with with family income of $35,000 on a scale of 3 is y = 1.7

That means they come under catergory "not to happy" and "fairly happy"

c) Find the happiness of person of family income os $45,000

we put x = 45 as in the equation above

y=0.065(45)-0.613\\\\=2.925-0.613\\\\=2.312 \approx 2.3

Hence, person happiness with with family income of $45,000 on a scale of 3 is y = 2.3

That means they come under catergory  "fairly happy"

8 0
4 years ago
If your teacher tells you to do questions 6 through 19 in your math book for
kirill [66]
There are 14 questions to do
5 0
2 years ago
Read 2 more answers
A contractor is adding 243 CY backfill. If each truck can hold 162 CF, how many truck loads are needed
nexus9112 [7]

The number of trucks needed is an illustration of rates

The number of trucks needed is 42

<h3>How to determine the number of trucks</h3>

The size of the backfill is given as: 243 CY

A truck can load up to 162 CF

So, the number of trucks needed is calculated as:

n = \frac{243 CY}{162 CF}

Convert CY to CF

n = \frac{243 * 27CF}{162 CF}

Solve

n = 40.5

Approximate

n = 41

Hence, 41 trucks are needed

Read more about rates at:

brainly.com/question/8728504

4 0
2 years ago
3x+-6+2 &gt; = 5x -8......can someone please solve this
Maksim231197 [3]

Answer:

x ≤ 2

Step-by-step explanation:

If you referencing ">=" as greater than or equal to, follow the solution below:

Solve:

3x - 6 + 2 ≥ 5x - 8

Combine like terms.

3x - 4 ≥ 5x - 8

Subtract 5x from both sides.

-2x - 4 ≥ -8

Add 4 to both sides.

-2x ≥ -4

Divide both sides by -2, while flipping the inequality as well since you're dividing by a negative number.

x ≤ 2

Your answer would be x ≤ 2

6 0
3 years ago
How do I find decay?.........
Bess [88]

Answer:

D

Step-by-step explanation:

the line slopes steeply and isnt constant

5 0
4 years ago
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