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VladimirAG [237]
3 years ago
14

Lisa and Jen left home at the same time, only Lisa biked to school at a speed of 10 mph while Jen just walked at a speed of 4 mp

h. How much time did it take Lisa to get to school if she reached school when Jen still was 1 mile away from it?

Mathematics
1 answer:
IrinaVladis [17]3 years ago
5 0

Answer:

\dfrac{1}{6} hour or 10 minutes

Step-by-step explanation:

Lisa:

Rate = 10 mph

Time = t hours

Distance = x miles

x=10\cdot t

Jen:

Rate = 4 mph

Time = t hours

Distance = x - 1 miles

x-1=4\cdot t

Hence,

10t-1=4t\\ \\10t-4t=1\\ \\6t=1\\ \\t=\dfrac{1}{6}\ hour

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When f(x) is replaced with<br> f(x)+k, the graph that results is shown below <br> K=__?
serious [3.7K]

Answer:

k = 6

Step-by-step explanation:

Parent function of the given graph → f(x) = (x - 1)²

If the parent function is shifted 6 units up.

Equation of the translated function will be → g(x) = (x - 1)² + 6

g(x) = f(x) + 6

Therefore, k = 6 will be the answer.

6 0
3 years ago
1. In a recent wind storm a large tree broke and made a 58° angle
yKpoI14uk [10]

*see attachement for diagram

Answer:

40.4 ft

Step-by-step explanation:

Let the part that broke away be represented as "x"

Thus, the digram makes a right triangle shape.

The closest total length of tree before the storm = x + 14 ft

Apply trigonometric function to find x.

Reference angle = 58°

Side adjacent to reference angle = 14 ft

Hypotenuse = x

Apply CAH, which is:

Cos 58 = adj/hyp

Cos 58 = 14/x

x * Cos 58 = 14

x = 14/Cos 58

x = 26.4191188 ≈ 26.4 ft

✔️closest total length of tree before the storm = x + 14 ft = 26.4 + 14 = 40.4 ft

6 0
2 years ago
Kelso sold digital cameras on her website. She bought the cameras for $65 each and included 60% markup to get the selling price.
Butoxors [25]
Find 60% of 65 then add it to 65

0.6 x 65 = 39

now add it to 65:

39 + 65 = 104

They are selling them for 104$
 
6 0
3 years ago
Find the values of x and y. 107<br> X= y=​
Debora [2.8K]

Answer:

y= 73 degrees

x=34 degrees

Step-by-step explanation:

180-107=73

y= 73 degrees

73+73= 146

180-146=34

x=34 degrees

8 0
2 years ago
)
Leto [7]

Answer:

Number of Adult's tickets sold on Saturday = 3,356

Number of Children's tickets sold on Saturday = 2, 928

Total number of tickets sold over these two days is 8,938.

Step-by-step explanation:

Here, the number of tickets sold on FRIDAY:

Adult Ticket sold = 1,678

Children's Tickets sold = 976

So, the total number of tickets sold on Friday  

= Sum of ( Adult + Children's ) tickets  = 1,678  + 976 = 2,654 ....  (1)

The number of tickets sold on SATURDAY:

Adult Ticket sold =   2 times  the number of adult tickets sold on Friday

                            =  1,678 x 2  = 3,356

Children's Tickets sold = 3 times the number of children's tickets sold on Friday.

=  976  x 3 = 2, 928

So, the total number of tickets sold on Saturday  

= Sum of ( Adult + Children's ) tickets  = 3,356 + 2,928 = 6, 284 ....  (2)

Now, the total number of tickets booked in these two days :

Sum of tickets booked on (Friday + Saturday)

= 2,654 +  6, 284  =   8,938

Hence, total number of tickets sold over these two days is 8,938.

6 0
3 years ago
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