How many significant figures does 0290 have?

Alan just got a Fall job. The equation P = 12.50h represents the salary P (in dollars) he will earn when he works h hours. How m

balandron [24]

Given:

Alan salary P (in dollars) when he works h hours is represented by the equation

$P=12.50h$

To find:

The earning per hour.

Solution:

We have,

$P=12.50h$

Here, P is total salary and h is number of hours he works.

$\text{Earning per hour}= \dfrac{\text{Total salary}}{\text{Number of hours}}$

$\text{Earning per hour}= \dfrac{12.50h}{h}$

$\text{Earning per hour}=12.50$

Therefore, the earning per hour is $12.50.

8 0

3 years ago

A rectangular garden must have a perimeter of 150 feet and an area of at least 1200 square feet. Describe the possible lengths o

kipiarov [429]

Answer: 51.86 and 23.14

Step-by-step explanation:

The rectangular garden must have a perimeter of 150 feet

Perimeter of rectangular garden =

2l + 2w=150 -----------1

The rectangular garden must have a perimeter of 150 feet and an area of at least 1200 square feet.

Area of rectangular garden =

l×w= 1200 feet^2 -----------2

From equation 2, l=1200/w

Put l=1200/w in equation 1

2× 1200/w + 2w = 150

(2400/w) +2w = 150

(2400+2w^2)/w =150

2400+2w^2= 150w

2w^2- 150w+2400=0

Using the general formula

w = [-b+-√(b^2-4ac)]/2a

a = 2, b =-150, c=2400

w =[--150+/-√(-150^2-4×2×2400)]/2×2

=[150+/-√(22500-19200)]/4

=[150+/-√3300)]/4

=(150+57.45)/4 or (150-57.45)/4

w= 207.45/4 or 92.55/4

w= 51.86 or w= 23.14

l = 1200/51.86 or l= 1200/23.14

l = 23.14. or l= 51.86

For an area of at least 1200ft^2

The dimensions are 51.86 and 23.14

4 0

3 years ago

A car traveled 88 km in 1 hour, 90 km in the next 2 hours, and then 76 km in 1 hour before reaching its destination. what was th

luda_lava [24]

The formula for Average speed = $\frac{Total Distance}{Total Time}$

The car travels 80 km in 1 hour.

Then the car travels 90 km in 2 hours.

And finally the car travels 76 km in 1 hour

So the total distance covered by the car = 80 + 90 + 76 = 246 km

The total time taken to cover this distance = 1 + 2 + 1 = 4 hours.

So average speed = $\frac{246}{4}= 61.5$

The average speed of the car is 61.5 km / h

3 0

3 years ago

The area of a square concrete slab is 20 square feet. Find the side length of the square concrete slab if the area is increase b

guapka [62]

The side length of the square concrete slab if the area is increased by 25% is 5feet

The formula for calculating the area of a square is expressed as:

A = L² where:

L is the side length of the square

Given the area of the square concrete slab = 20 square feet

20 = L²

L =√20

If the area is increased by 25%, new area will be:

An = 20 + (0.25*20)

An = 20 + 5

An = 25 sq.ft

Get the new length

An = Ln²

25 = Ln²

Ln = √25

Ln = 5feet

Hence the side length of the square concrete slab if the area is increased by 25% is 5feet

Learn more here: brainly.com/question/11300671

7 0

3 years ago

5p-3r=1

Brilliant_brown [7]

If you would like to solve the system of equations, you can do this using the following steps:

5p - 3r = 1 /*2
8p + 6r = 4
__________
10p - 6r = 2
8p + 6r = 4
__________
10p - 6r + 8p + 6r = 2 + 4
18p = 6
p = 6/18
p = 1/3

5p - 3r = 1
5 * 1/3 - 3r = 1
5/3 - 3r = 1
5/3 - 1 = 3r
5/3 - 3/3 = 3r
2/3 = 3r
r = 2/9

(p, r) = (1/3, 2/9)

The correct result would be (1/3, 2/9).

4 0

3 years ago

Read 2 more answers