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Likurg_2 [28]
3 years ago
9

Alan works 6miles away from the apartment and rollerblades from his work place to the apartment at a constant rate of 7miles per

hour . Soren works 8 miles away from the apartment and bikes from his work place at a constant rate of 12miles per hour . How much time in hours do Alan and Soren have to travel to be the same distance from their apartment ?
Mathematics
2 answers:
babymother [125]3 years ago
7 0

Answer: in 2/5 hours they will be at the same distance from their apartment.

Step-by-step explanation:

The data that we have is:

Alan works 6 miles away from the apartment, and his speed is 7 miles per hour.

Soren works 8 miles away from the apartment, and his speed is 12 miles per hour.

We can calculate the distance as a function of time by the equation.

D =  initial distance - speed*t

where t is the number of hours; so we have that the equation for Allan is:

Da = 6 mi - 7 mi/h*t

The equation for Soren is:

Ds = 8mi - 12mi/h*t

They will be at the same distance to the apartment when Da = Ds, so we must have that:

6mi - 7mi/h*t = 8mi -12mi/h*t

we need to solve it for t.

(12mi/h - 7mi/h)*t = 8mi - 6mi  

5mi/h*t = 2mi

t = (2/5)h

dimulka [17.4K]3 years ago
4 0
Let the distance remaining after time t be x miles.

Distance traveled by Alan = (6-x) miles
Distance traveled by Soren = (8-x) miles

Time takes by the two is the same. Therefore,
(8-x)/12 = (6-x)/7 => 7(8-x) = 12(6-x) => 56-7x = 72-12x => 12x-7x = 72 -56 => 5x= 16 => x = 16/5 = 3.2 miles.

And then, time taken (t) = (8-3.2)/12 = (6-3.2)/7 = 0.4 hours
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d = 10 feet

10 = -  16 {t}^{2}  - 7t + 61 \\ 0 =  - 16 {t}^{2}  - 7t + 51

Use quadratic formula:

t = 1.58, -2.02 (reject)

1.58 seconds

3 0
3 years ago
30 points and Brainliest!!
diamong [38]
Thats easy .


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3 years ago
What is the transformation of the graph from its parent function​
VLD [36.1K]

Answer:

The transformation is left 1 hope it is right

Step-by-step explanation:

7 0
2 years ago
B A pair of fair dice is rolled, If the sum of the spots is 7, determine the probability that one di showed a 2.
finlep [7]

Answer:

\text{Probability}=\frac{1}{3}

Step-by-step explanation:

Given : A pair of fair dice is rolled, If the sum of the spots is 7.

To find : Determine the probability that one die showed a 2 ?

Solution :

A pair of fair dice is rolled the outcomes are,

(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)

(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)

(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)

(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)

(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)

(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)

The sum of the spots is 7 i.e. (4,3),(2,5),(5,2),(3,4),(1,6),(6,1).

Total possibility = 6

Favorable outcome is that one die showed a 2 i.e. (2,5),(5,2)= 2

The probability that one die showed a 2 is given by,

\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total outcome}}

\text{Probability}=\frac{2}{6}

\text{Probability}=\frac{1}{3}

8 0
3 years ago
Work out<br> 2/5<br> of 60<br> Pls work this out. It’s urgent!
xxTIMURxx [149]
Answer is 24.

firsty remember OF= MULTIPLY

NOW we can calculate this easily

here the equation is given

2/5×60. u can solve this in given ways below….…..

1……….

u can simply divided 60 by 5. which is equal to 12. and now the equation remain 2×12 . & it's equal to 24. which is our answer.

2……….

u can write 2/5 in decimals by dividing this . so 2/5 is equal to 0.4

and now u r left with 0.4×60

so after multiplying it comes 24.0

and that is equal to 24. (because after decimal zeros has no value)

3……….

and u also can multiply 2 by 60 . it occurs 120 then devide it by 5 . the answer comes 24.
5 0
2 years ago
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