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inna [77]
3 years ago
6

A boat was traveling 12 1/2 miles each hour. At that rate, how many miles would it travel in 1 1/2 hours?

Mathematics
1 answer:
Elodia [21]3 years ago
8 0

Answer:

18 3/4 miles

Step-by-step explanation:

convert fractions into decimals and multiply 12.5 by 1.5 to get your answer and then convert back to fractions

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Evaluate the function.
Natali5045456 [20]
As you may already be familiar, these functions f(x) and g(x) are piecewise. They consist of multiple functions with different domains.

1. For #1, the given input is f(0). Since 0≤1, you should use the first equation to solve. f(0)=3(0)-1 ➞ f(0)=-1
2. Continue to evaluate the given input for the domains given. 1≤1, therefore f(1)=3(1)-1➞f(1)=2
3. 5>1, therefore f(5)=1-2(5)➞f(5)=-9
4. -4≤1; f(-4)=3(-4)-1➞f(-4)=-13
5. -3<0<1; g(0)=2
6. -3≤-3; g(-3)=3(-3)-1➞g(-3)=-10
7. 1≥1; g(1)=-3(1)➞g(1)=-3
8. 3≥1; g(3)=-3(3)➞g(3)=-9
9. -5≤-3; g(-5)=3(-5)-1➞g(-5)=-16

Hope this helps! Good luck!
5 0
3 years ago
Read 2 more answers
Victoria recently switched to a new electric company. If she uses between 0 and 400 kilowatt-hours (kWh) of electricity per mont
Gekata [30.6K]

Answer:

see the explanation

Step-by-step explanation:

<em><u>The question is </u></em>

Identify the domain and the range, using words and inequalities

Let

x -----> the number of kilowatt-hours (kWh) of electricity per month

y ----> the price per month

we know that

Part 1) For the value of x between 0 kWh and 400 kWh

0\ kWh \leq x < 400\ kWh

The price is equal to

y=\$30

therefore

The domain is the interval ------> [0,400)

The domain is all real numbers greater than or equal to 0 kWh  and less than 400 kWh

The range is ($30)

The range is equal to $30

Part 2) For the value of x equal to 400 kWh or more per month

x\geq 400\ kWh

The domain is the interval -----> [400, infinite)

The domain is all real numbers greater than or equal to 400 kWh

The price is

y=0.097x

<em>Find the range</em>

For x=400 kWh

y=0.097(400)=\$38.8

so

y\geq \$38.8

The range is the interval -----> [38.8, infinite)

7 0
3 years ago
The graph shows which equation?
GalinKa [24]

it isn't the first 2 options

I'd say it's y=1/2x - 2

6 0
2 years ago
What is the greatest common factor of 6d² and 18d<br><br>​
VMariaS [17]

gcd  =  6  ⋅  d

Step-by-step explanation:

We have that  

6 d ^2  =  6  ⋅  d  ⋅  d and  18 d  =  3  ⋅  6  ⋅  d  hence the  gcd  =  6  ⋅  d

(Hope this helps <3)

3 0
2 years ago
A rectangle has length represented as (R +5) and width represented as (R + 2).
svetlana [45]

Answer:

4(R + 5 + R + 2) [Option B]

Step-by-step explanation:

<u>GIVEN :-</u>

  • Length = R + 5
  • Width = R + 2

<u>TO FIND :-</u>

  • Perimeter of the rectangle

<u>FORMULAE TO BE USED :-</u>

For a rectangle with length 'l' and width 'w' , its perimeter = 4(l + w)

<u>SOLUTION :-</u>

Perimeter = 4(R + 5 + R+2)

                 = 4(2R + 7)

                 = 8R + 14

7 0
2 years ago
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