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3 years ago

Please explain how to do this one as well ...

Mathematics

1 answer:

kirza4 [7]3 years ago

4 0

Answer:

x = 13

Step-by-step explanation:

Step 1: Define

f(x) = (x - 1)/2

f(x) = 6

Step 2: Substitute and solve for x

6 = (x - 1)/2

12 = x - 1

x = 13

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A person who is 68in tall casts a shadow that is 54in long. At the same moment, a tree casts a shadow that is 18ft long. What is

34kurt

Answer:

22.67 ft is the height of tree.

Step-by-step explanation:

Given:

Height of a person is 68 in and casts a shadow that is 54 in long.

At the same point, a tree casts a shadow that is 18 ft long.

Now, to find the height of tree.

Let the height of tree be $x.$

If height of a person is 68 in he casts a shadow of 54 in.

So, 68 in is equivalent to 54 in.

Thus, $x$ is equivalent to 18 ft.

Now, to get the height of tree by using cross multiplication method:

$\frac{68}{54} =\frac{x}{18}$

By cross multiplying we get:

$1224=54x$

Dividing both sides by 54 we get:

$22.67=x$

$x=22.67\ ft.$

Therefore, the height of the tree is 22.67 ft.

6 0

3 years ago

Please help me solve this by substitution: y=x+2 3x+3y=6

VikaD [51]

Answer:

x = 0, y = 2

Step-by-step explanation:

solve the equation for x

3x + 3(x + 2) = 6

2. Substitute the given value of x into the simplest equation y= x + 2

y = 0 + 2

3. Solve the equation for y

y= 2

4. The possible solution of the system is the ordered pair ( x, y)

( x, y) = ( 0, 2)

3 0

3 years ago

Raymond just got done jumping at Super Bounce Trampoline Center. The total cost of his session was $43.25 He had to pay a $7 ent

Travka [436]

Answer:

the number of the minutes 29

Step-by-step explanation:

because the if we take the cost from the session it will be 36.25 and divide by 1.25 because it takes every minute 1.25 so it will be 29

6 0

3 years ago

Read 2 more answers

Farmer Company purchased equipment on January 1, Year 1 for $82,000. The equipment is estimated to have a 5-year life and a salv

aalyn [17]

Answer:

option (a) $6,240

Step-by-step explanation:

Given:

Purchasing cost of the equipment = $82,000

Estimated life = 5 years

Salvage value = $4,000

Revised expected life = 8 years

Now,

Depreciation per year = $\frac{\textup{82,000-4,000}}{\textup{5}}$

therefore,

The accumulated Depreciation at the beginning of year 4

= Annual depreciation × years passed

= 15,600 × 3

= $46,800

Thus,

The book value at the beginning of year 4

= Purchasing cost - Depreciation

= $82,000 - $46,800

= $35,200

Now,

The remaining life = Revised estimated life - Years passed

= 8 - 3

= 5 years

therefore,

Depreciation expense = $\frac{\textup{book value at the beginning of year 4 - salvage value}}{\textup{Revised estimated life}}$

= $\frac{\textup{35,200 - 4000}}{\textup{5}}$

= $6,240

Hence,

The correct answer is option (a) $6,240

7 0

3 years ago

WILL GIVE BRAINLIEST What is the perimeter of the track, in meters? Use π = 3.14 and round to the nearest hundredth of a meter.

Ivenika [448]

Answer:

Perimeter = 317 m

Step-by-step explanation:

Given track is a composite figure having two semicircles and one rectangle.

Perimeter of the given track = Circumference of two semicircles + 2(length of the rectangle)

Circumference of one semicircle = πr [where 'r' = radius of the semicircle]

= 25π

= 25 × 3.14

= 78.5 m

Length of the rectangle = 80 m

Perimeter of the track = 2(78.5) + 2(80)

= 157 + 160

= 317 m

Therefore, perimeter of the track = 317 m

7 0

3 years ago