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lyudmila [28]
3 years ago
10

What inequality is shown in the graph below?

Mathematics
1 answer:
LenaWriter [7]3 years ago
6 0

Answer:

1/2

Step-by-step explanation:

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The distance between two cities is 145 miles. A truck can cover this distance in 2.5 hours. A car is 1.5 times as fast as the tr
Sunny_sXe [5.5K]

Answer:

1 hour

Step-by-step explanation:

The speed ratio is ...

... truck : car = 1 : 1.5

Then the ratio of truck speed to the sum of their speeds is ...

... truck : combined = 1 : (1+1.5) = 1 : 2.5

Since time is inversely proportional to speed, the two vehicles will meet after 1/2.5 times the time the truck takes to cover the distance. That is ...

... (2.5 hours)/2.5 = 1 hour

_____

The truck speed is 145 mi/(2.5 h) = 58 mi/h.

The car speed is 1.5 × 58 mi/h = 87 mi/h.

Their combined speed is 58 + 87 = 145 . . . . mi/h.

So, they will cover the 145 mile distance in 1 hour.

3 0
3 years ago
Read 2 more answers
a goat is kept in a rectangular field 14.5 metre by 22 m. it is tied to a pole at the centre of the field with the chain that is
jolli1 [7]

Area of the rectangle: 14.5 x 22 = 319 square meters.

Area the goat can reach ( area of a circle): 3.14 x 2.5^2 = 19.625 square meters.

Now subtract the area of the circle from the area of the rectangle:

319 - 19.625 = 299.375 square meters.  (Round the answer as needed.)

6 0
3 years ago
What is 3 billion times 0.7
Blizzard [7]

Answer:

two billion one hundred million

Step-by-step explanation:

4 0
3 years ago
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Orville staples is a painter who earns 30,000 a year. he is single and claims 3 allowances
babunello [35]

Using the information in the table given, the Gross pay, deductions and net pay for Orville staples are :

  • $30,000
  • $2340
  • $1860
  • $600
  • $450
  • $34.50
  • $15.00
  • $24700.50

Given the tax time table :

  • Social security tax = 6.2% of $97,500
  • Medicare = 1.45% of gross income
  • State tax = 2% of gross pay
  • Local tax = 1.5% of gross pay
  • Gross pay = $30,000

1.) Gross pay, total amount earned prior to tax = $30,000

2.) <u>Using the weekly payroll for singles</u> :

Number of weeks in a year = 52

Weekly earning = 30000/52 = 600

The Federal income tax = $25 per week  (3 allowances claimed)

Total FIT = $45 × 52 = $2340

3.) <u>Social security tax</u> :

SS tax = 6.2% × $30,000 = $1860

4.) <u>State tax</u> :

2% of gross pay

2% × $30,000 = $600

5.) <u>Local tax</u> :

1.5% × 30,000 = $450

6.) <u>Medical dues</u>  = $34.50

7.) <u>Others</u> : = $15.00

8.) <u>Net pay = Gross pay - Total deduction</u>

Net pay = 30000 - $(2340+1860+600+450+34.50+15)

Net pay = 30,000 - 5299.50 = $24700.50

Learn more :brainly.com/question/24919039

8 0
3 years ago
Find cot θ if csc θ = square root of seventeen divided by four and tan θ &gt; 0.
Yuliya22 [10]
Hello! 
a = √17 - 4^2
a = 1

Cotangent theta is the adjacent over opposite. I used the Pythagorean Theorem to fine the adjacent side. The cotangent of theta is equal to 1/4.
I hope this helps :)
4 0
4 years ago
Read 2 more answers
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