Help ASAP!
A pirate in search of a treasure hikes three days in a row. He hikes 12.5 km to his destination on the first day, 18 km to his destination on the second day, and 14 km to his destination on the third day. He hikes 1 km/h slower on the first day than on the second day, and 1 km/h faster on the first day than on the third day. The third day's hike takes 30 minutes longer than the second day's hike. How long does the pirate search (across all three days) if he spends 2 hours digging for treasure at each destination?

Answers

Answer 1

Answer:

15hrs

Step-by-step explanation:

We can start by expressing the speed of the second trip as x. This means that the first trip must be x-1, and second (x-1)-1=x-2. Next we can form an equation with the information that the third day hike takes 30 min longer than second day hike. Since we now the distance of both days, we can express them in time. So... [tex]\frac{18}{x}+\frac{1}{2}=\frac{14}{x-2}[/tex] ... We can solve by finding a LCM of all three expressions. Doing so we get 2x(x-2). Now multiplying out with the new denominators, we get 36(x-2)+x(x-2)=28x. Solving as a quadratic equation, the solution comes out to be x=6, x=-12. But as speed can't be negative, only solution is x=6. Now we get the speed of each day's hike. First day=x-1=5, second day=6, third day =x-2=4. Finding the time is simple, just do distance/speed. First day=12.5/5=2.5hrs. Second day=18/6=3hrs. Third day=14/4=3.5hrs. Adding total hrs up... 2.5+3+3.5=9. Finally step is accounting for the 2hr digging time per day. 2hrs*3= 6hrs. 6hrs+9hrs=15hrs. Hope this helps!


Related Questions

Factor the following quadratic expression.

2p2−19p+35


I don't get this

Answers

Answer:

(p - 7)(2p - 5)

Step-by-step explanation:

[tex]2 {p}^{2} - 19p + 35 \\ \\ = 2 {p}^{2} - 14p - 5p + 35 \\ \\ = 2p(p - 7) - 5(p - 7) \\ \\ = (p - 7)(2p - 5)[/tex]

PLZZZZZZZZZZZZZZZZZZZZZ:( PLZZZZZZZZ

Answers

Answer:

12.57

Step-by-step explanation:

The answer is 12.57 pls mark Brainliest

20 large plastic bottles can be recycled to 1 fleece jacket.
How many fleece jackets can be made with 280 large plastic bottles?

Answers

Answer:

14 jackets

Step-by-step explanation:

20 plastic bottles=1 fleece jacket

280 plastic bottles=?

(280×1)÷20

=14

It would be 14 fleece jackets would be made

I need help I don’t understand it and it can’t be negative

Answers

Answer:

20

Step-by-step explanation:

On using similar triangles we get 5x = 6x-4. So x is 4 and jk length is 24-4=20

please help I'm timed

Answers

Answer:

60 students-530 Question 1.

Step-by-step explanation:

Write an equation that represents the line.
Use exact numbers.

Answers

y = 3/4x + 2
The slope is 3/4 and y intercept is 2
equation:

y=3/4x + 2

explanation:
when writing an equation for a linear graph finding the slope, you always wanna use the equation y=mx + b. b represents the y- intercept, m represents the slope.

in this equation the slope is 3/4 and you can find this by finding two “friendly points” which are basically points that are exactly on the in between part between 4 cubes. an example of two friendly points on this graph you can use to find the slope are (0,2) and (4,5). to find the slope using these points, count how many spaces are up and then to the right to get to the point. when writing the slope, the number of spaces up goes on top of the amount of spaces to the side. here it is 3 up and 4 to the side, meaning it will be 3/4.

put it all together you get y= 3/4x +2

if you find this helpful, would you mind giving brainliest?

which of the three curves drawn matches the graph of y = 2x 2 + x

Answers

Can’t see the curves!

Harold cut 1812 inches off a rope that was 60 inches long. How is the length of the remaining rope in inches written in decimal form

Answers

Answer:

0.42

Step-by-step explanation:

The computation of the length of the remaining rope in inches is shown below:

Length Remaining = Length - the piece he cut off

Length Remaining = 60 - 18

60 - 18 = 42

To turn 42 into a decimal, you have to divide by 100 ↓

42 ÷ 100 = 0.42

The length of rope remaining is 0.42 inches long

Find the value of each variable using sine and cosine. Round your answers to the nearest tenth.

Answers

Answer:

x ≈ 9.5 , y ≈ 15.3

Step-by-step explanation:

sin32° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{18}[/tex] ( multiply both sides by 18 )

18 × sin32° = x , then

x ≈ 9.5 ( to the nearest tenth )

cos32° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{18}[/tex] ( multiply both sides by 18 )

18 × cos32° = y , then

y ≈ 15.3 ( to the nearest tenth )

someone please answer this!!

Answers

Answer:

second option

Step-by-step explanation:

the side length of AB should be equal to XY as they are corresponding sidelengths

Answer:

BC=YZ

AB=XY

Step-by-step explanation:

Line BC is congruent to Line YZ

Line AB is congruent To line XY

Please help will give brainliest

Answers

Answer:

24 because 6 times 4 equal 24 and thats the area

Step-by-step explanation:

Match the reason with the statements please. Thank you!

Answers

Answer:

st 1 _ r 3

st 2 _ r 1

st 3 _ r 2

st 4 _ r 4

A number g multiplied by -8 is at least 1/4​

Answers

G is -0.04 or greater.
G is -0.04 or greater.

Find the slope of the line through the pair of points (-6,-5) and (-2,6)

Answers

Answer:

11/4

Step-by-step explanation:

Hi!
The slope is change in y over the change in x.
So... 6-(-5) over -2-(-6).
It is 11 over 4.
The slope of the line is 11/4.
Hope this helps :)

Find the perimeter of the shape

Answers

Answer:    21

Step-by-step explanation:

add all the numbers together as many times as they are shown on the shape so 2.8=4 times

1.4= 2 times

and 3.5= 2 times

What is the length of K Street and D Street?

Answers

Answer:

775 ft

Step-by-step explanation:

1000/800= K/620

800K = 620,000

K = 775 ft

4. An extension ladder is leaned up against a building to reach a window that is 16.1 feet
from the ground. The base of the ladder is 10 ft from the building.
a How long is the ladder if it is fully extended?
b. What is the angle that the ladder makes with the ground?
C. What is the angle of the ladder with the building?

Answers

Answer:

a) ~18.95ft

b) ~58°

c) ~32°

Pls help you can do either one

Answers

Answer:

4. 20.8 in

5. 60 degrees

6. i cant see number 6 so yah

Step-by-step explanation:

Solve for X
a) 6
b) 11
c) 0
d) 12 ​

Answers

Step-by-step explanation:

2x + 210 + x + 75 = 180

3x = - 105

x = - 35

what????

does anyone know the answer??

Answers

Answer:

rational

Step-by-step explanation:

Any rational number can be expressed in the form

[tex]\frac{a}{b}[/tex] ← where a and b are integers

Given

[tex]\sqrt{4}[/tex] = - 2 or + 2

Since - 2 =  [tex]\frac{-2}{1}[/tex] and 2 = [tex]\frac{2}{1}[/tex] ← both in rational form, then

[tex]\sqrt{4}[/tex] is rational

Please help me with this question 14 + what = 6

Answers

Answer:

-8

Step-by-step explanation:

14 + x = 6

6 - 14 = -8

brainliest plz

Davindra made a paper box that is 8 in. Long, 5 in. Wide, and 1 in. High. It is shaped like a rectangular prism. What is the surface area of the box? *

Answers

Answer:

106 in²

Step-by-step explanation:

Given that :

Davindra made a paper box that is 8 in. Long, 5 in. Wide, and 1 in. High.

Using the relation :

SA=2lw+2lh+2hw

Surface area :

2(lw + lh + hw)

l = 8 ; w = 5 ; h = 1

Surface area :

2(8*5 + 8*1 + 1*5)

Surface area :

2(40 + 8 + 5)

= 2(53)

= 106 in²

a street sign is 88 inches tall how tall is it in feet and inches​

Answers

1 ft=12 in
7x12=84
88-84=4
Answer:7ft 4 in

The author also uses _________ to describe the building and to give the reader a sense of "forbidding" or imposing fear.

repetition
imagery
irony
personification

Answers

Answer:

Imagery

How:

By describing the building through imagery, explaining it's appearance/past/history/story (and assuming it's bad), gives the listener a feeling of "forbidding" or imposing fear.

DEFINITIONS:

Forbidding: Unfriendly or threatening in appearance.

Imposing fear: Someone noticeably feared by something/someone.

Make r the subject - picture underneath

Answers

Answer:

The answer is r = 6a / (5m² - 1).

Step-by-step explanation:

The steps are :

[tex]m = \sqrt{ \frac{6a + r}{5r} } [/tex]

[tex] {m}^{2} = \frac{6a + r}{5r} [/tex]

[tex]5r {m}^{2} = 6a + r[/tex]

[tex]5r {m}^{2} - r = 6a[/tex]

[tex]r(5 {m}^{2} - 1) = 6a[/tex]

[tex]r = \frac{6a}{5 {m}^{2} - 1 } [/tex]

Answer:

r = [tex]\frac{6a}{5m^2-1}[/tex]

Step-by-step explanation:

Given

m = [tex]\sqrt{\frac{6a+r}{5r} }[/tex] ( square both sides )

m² = [tex]\frac{6a+r}{5r}[/tex] ( multiply both sides by 5r )

5rm² = 6a + r ( subtract r from both sides )

5rm² - r = 6a ← factor out r from each term on the left side

r(5m² - 1) = 6a ← divide both sides by (5m² - 1)

r = [tex]\frac{6a}{5m^2-1}[/tex]

Three stores are selling the same brand of soda for different prices. Which stores has the better price? Store x / 4 for $2.48 Store Y / 5 for $3.00 Store Z:\$0.62 for 1 can

Answers

Answer:

store y has the best price

Step-by-step explanation:

store x you would pay .62 for each soda

store z you would pay .62 for one soda

and store y you would pay .60 for each soda so you would want to pick the one with the lowest price on each and you would get more for a lower amount of money.

Select all the true statements.




(1048 – 876) ÷ 4 is four times as large as (1048 – 876).


(1048 – 876) + 24 is 24 times as large as (1048 – 876).


(1048 – 876) – 17 is seventeen less than (1048 – 876).


1/2 × (1048 – 876) is half as large as (1048 – 876).


(1048 – 876) × 4 is four more than (1048 – 876).

Answers

Answer:

C and D are are the true statements

Find the value of x in the triangle shown below.
2
7
x

Answers

Answer:

[tex] {2}^{2} + {x}^{2} = {7}^{2} \\ {x}^{2} = 49 - 4 \\ x = \sqrt{45} \\ x = 6.708[/tex]

Answer:

By using Pythagoras theorem we get

H²=p²+b²

7²=2²+x²

X²=7²-2²

X=√(49-4)=√45=3√5

Step-by-step explanation:

A shelf is 36 inches long. How many DVD’s can I place on it if each one is 5/8 inches thick?

Answers

we can find this by diving 36 by 5/8
We will use the keep, change, flip rule
So instead of 36 / 5/8
We will calculate as
36 * 8/5
We will first multiply 36 * 8 = 288
Now we have 288/8 = 36
This means 36 DVDs will fit on the shelf

You can place approximately 57 DVDs on the shelf if each DVD is 5/8 inches thick. To determine the number of DVDs that can fit on a shelf, we need to divide the length of the shelf by the thickness of each DVD.

The shelf is 36 inches long, and each DVD is 5/8 inches thick.

Dividing the length of the shelf by the thickness of each DVD:

36 inches / (5/8) inches

To divide by a fraction, we multiply by its reciprocal:

36 inches * (8/5 inches)

Simplifying the multiplication:

288 inches / 5 inches

Now we can divide:

288 inches / 5 inches = 57.6

Therefore, you can place approximately 57 DVDs on the shelf if each DVD is 5/8 inches thick.

To know more about approximately:

https://brainly.com/question/31695967

#SPJ2

Lyla has $1 and 5 dimes in her pile. Harrison has 15 dimes in his pile. If Lyla gives Harrison $1 and
Harrison gives Lyla 10 dimes, will the two piles still be equal in value? Explain.
Select the correct choice below and fill in the answer boxes to complete your choice.

Answers

Answer:

yes, they will be equal

Step-by-step explanation:

I think they will be equal, because 10 dimes=$1

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