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2 years ago

Kevin recently accepted a job at a Lucky Seven store 17 miles from his house. Use the

Mathematics

2 answers:

RideAnS [48]2 years ago

7 0

Something is missing there is no given. But here are the given for this question:

Salary = $8.75 per hour

40 hour work week

52 work week per year

5 days of work per week

Gas mileage is 21 miles per gallon

Gas costs is 1.26 per gallon

Average speed is 45 miles per hour

Daily round trip to work and back home is 34 miles

a. Kevin’s annual salary is 8.75 per hour x 40 hour work week x 52 work week per year

= $18,200

b. Kevin will spend on fuel each week:

34 miles daily round trip x 5 day work week divided by 21 miles per gallon x 1.26 per gallon

= $10.20

c. Kevin will spend _ hours on commuting

= 34 miles is the daily round trip x 5 day work week divided by 45 miles average speed per hour

= 3.78 hours

Hope this helps!

Likurg_2 [28]2 years ago

5 0

the answer is 17,669.60.

hope this helped.

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for competition,the cheerleading team,is preparing a dance routine that must last 4 minutes,with a variation of +- 5 seconds. fi

Sonbull [250]

Ideal timeline of the dance routine = 4 minutes = 4 × 60 seconds = 240 seconds

Variation allowed in the dance routine timeline = +- 5 seconds

Let the timeline of the dance routine be T

⇒ 240 seconds - 5 seconds < T < 240 seconds + 5 seconds

⇒ 235 seconds < T < 245 seconds

⇒ $\frac{235}{60}$ minutes < T < $\frac{245}{60}$ minutes

⇒ 3.92 minutes < T < 4.08 minutes

So the least possible time of the dance routine can be 3.92 minutes (or 235 seconds) and the greatest possible time of the dance routine can be 4.08 minutes (or 245 seconds)

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2 years ago

2x^3-x^2+x-2 factorize

bekas [8.4K]

Answer:

$(x-1)(2x^2+x+2)$

Step-by-step explanation:

Factorize:

$f(x)=2x^3-x^2+x-2$

<u>Factor Theorem</u>

If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).

Substitute x = 1 into the function:

$\implies f(1)=2(1)^3-1^2+1-2=0$

Therefore, (x - 1) is a factor.

As the polynomial is cubic:

$\implies f(x)=(x-1)(ax^2+bx+c)$

Expanding the brackets:

$\implies f(x)=ax^3+bx^2+cx-ax^2-bx-c$

$\implies f(x)=ax^3+(b-a)x^2+(c-b)x-c$

Comparing coefficients with the original polynomial:

$\implies ax^3=2x^3 \implies a=2$

$\implies (b-a)x^2=-x^2 \implies b-2=-1 \implies b=1$

$\implies -c=-2 \implies c=2$

Therefore:

$\implies f(x)=(x-1)(2x^2+x+2)$

Cannot be factored any further.

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2 years ago

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Lera25 [3.4K]

Answer:

c 2.5

Step-by-step explanation:

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2 years ago

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What kind of function is 3y-2=x+7

Phoenix [80]

I agree with the answer above

4 0

2 years ago

Sarah Meeham blends coffee for Tasti-Delight. She needs to prepare 160 pounds of blended coffee beans selling for $4.97 per poun

jok3333 [9.3K]

Given:
let h be the high quality bean
let c be the cheaper bean

h + c = 160
6h + 3.25c = 160*4.97
6h + 3.25c = 795.20

h = 160 - c
6(160 - c) + 3.25c = 795.20
960 - 6c + 3.25c = 795.20
-2.75c = 795.20 - 960
-2.75c = -164.80
c = -164.80 / -2.75
c = 59.92 or 60 lbs

h = 160 - c
h = 160 - 60
h = 100 lbs

Sarah should blend 60 lbs of cheap coffee bean and 100 lbs of high quality coffee bean.

3 0

3 years ago