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Nikitich [7]
3 years ago
7

Give the rate in miles per hour. Round to the nearest tenth. Dev jogs 8 1/2 miles in 1 1/2 hours

Mathematics
1 answer:
andrew11 [14]3 years ago
3 0

Answer:

R=\dfrac{17}{3}\ \text{miles/hour}

Step-by-step explanation:

It is given that,

Distance covered, d=8\dfrac{1}{2}\ \text{miles}

Time taken, t=1\dfrac{1}{2}\ \text{hours}

We need to find the rate in miles per hour. It can be calculated by dividing distance covered and time taken as follows :

R=\dfrac{8\dfrac{1}{2}\ \text{miles}}{1\dfrac{1}{2}\ \text{hour}}\\\\R=\dfrac{\dfrac{17}{2}}{\dfrac{3}{2}}\\\\R=\dfrac{17}{3}\ \text{miles/hour}

Hence, Dev jogs at the rate of \dfrac{17}{3}\ \text{miles/hour}.

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Find the solution set of this inequality|10x+20| ≤10
Pavlova-9 [17]

Answer:

solution is

[-3,-1]

Step-by-step explanation:

we are given

|10x+20|\leq 10

Firstly, we will find critical values

so, let's assume it is equal

|10x+20|= 10

now, we can break absolute sign

For |10x+20|= -(10x+20):

-(10x+20)= 10

we can solve for x

-10x-20= 10

Add both sides by 20

-10x-20+20= 10+20

-10x= 30

Divide both sides by -10

and we get

x=-3

For |10x+20|= (10x+20):

(10x+20)= 10

we can solve for x

10x+20= 10

Subtract both sides by 20

10x+20-20= 10-20

10x= -10

Divide both sides by 10

and we get

x=-1

so, critical values are

x=-3

x=-1

now, we can draw a number line and locate these values

and then we can check inequality on each intervals

For (-\infty,-3):

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=-5

|10\times -5+20|\leq 10

|-50+20|\leq 10

30\leq 10

so, this is FALSE

For [-3,-1]:

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=-2

|10\times -2+20|\leq 10

|-20+20|\leq 10

0\leq 10

so, this is TRUE

For (-1,\infty):

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=0

|10\times 0+20|\leq 10

|0+20|\leq 10

20\leq 10

so, this is FALSE

so, solution is

[-3,-1]

7 0
3 years ago
Formula given in picture
yarga [219]
I think It's 0.9% I'm not sure though or 1.03%
4 0
3 years ago
Help pleaseeee and thank yaaaa
Serhud [2]

Answer:

1 1

Step-by-step explanation:

because of where the line is

6 0
3 years ago
Read 2 more answers
Jackie cut a 2 yard spool into 5 equal lengths of ribbon?
lidiya [134]
5 units = 2 yd.
1 unit = 2/5
Each piece of ribbon is 2/5 yd. long.
6 0
3 years ago
Please help ASAP please!!!
Dmitrij [34]

Answer:

75in^2

Step-by-step explanation:

5×5×4/2=50

5×5=25

50+25=75

8 0
2 years ago
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