Round 27834 to 2 significant figures

Brilliant_brown [7]

Answer:

$\boxed{\textsf{ Hence the solution set is$ \bf{\bigg( \dfrac{33}{4},\infty \bigg) }$}}.$

Step-by-step explanation:

A inequality is given to us and we need to find the solution set. So the given inequality to us is ,

-4x + 35 >2

$\bf\implies -4x + 35 > 2 \\\\\bf\implies -4x > 2-35 \\\\\bf \implies -4x > -33 \\\\\bf \implies x >\dfrac{-33}{-4}\\\\\bf \implies x > \dfrac{33}{4} \\\\\bf\implies \boxed{\pink{\bf x \in \bigg(\dfrac{33}{4}, \infty \bigg) }}$

<h3>★ Hence the solution set is x € ( 33/4 , ∞ ).</h3>

3 0

3 years ago

Ed is on a road trip he has already traveled 201 miles and is driving at a rate of 61 mph the equation could be used to find how

Bas_tet [7]

Answer:

Ed has traveled for 3 hours and 17 minutes, and has 2 hours and 28 minutes left to travel.

Step-by-step explanation:

Given that Ed is on a road trip and he has already traveled 201 miles and is driving at a rate of 61 mph, the equation could be used to find how many hours he has traveled and how many and has left in his road trip traveling 697 total miles is the next:

201/61 = 3.29

100 = 60

29 = X

29 x 60/100 = X

29 x 0.6 = X

17.4 = X

So, Ed has traveled for 3 hours and 17 minutes.

697 - 201 = 496

496/201 = 2.46

100 = 60

46 = 0

46 x 0.6 = X

27.6 = X

Thus, he has 2 hours and 28 minutes to travel.

6 0

2 years ago

Among the licensed drivers in the same age group, what is the probability that

Yakvenalex [24]

Answer:

The probability that a 57-year-old was involved in an accident is 0.0656.

Step-by-step explanation:

We are given the data for the drivers involved in an accident of different age groups.

And we have to find the probability that a 57-year-old was involved in an accident.

From the table given to us, it clear that a 57-year-old driver will lie in the age group of 55 - 64.

Now, the number of licensed drivers in the age group of 55 - 64 are 30,355 (in thousands).

The point to be noted here is that the data given of drivers in accidents (thousands) will include the data of drivers in fatal accidents.

So, the number of 57-year-old drivers involved in accidents are 1990 (in thousands).

The probability that a 57-year-old was involved in an accident is given by;

= $\frac{1990}{30,355}$

= $\frac{398}{6071}$ = 0.0656 or 6.56%

3 0

3 years ago

Read 2 more answers

Find a number that satifies the inequality x<-3

olga2289 [7]

It could basically be anything smaller than -3. So, some examples are -4,-5-,-6,-7,-8,-9,-10, and so on.

7 0

2 years ago

Read 2 more answers

F(x)=3x-8

iVinArrow [24]

What this is asking is for you to plug values into the following function: $f(x)=\frac{3x-8}{6x}$

Since the question is asking you to find $f(3)-f(1)$ , this is how you work it out:
You take the function;
$f(x)=\frac{3x-8}{6x}$
And plug the numbers indicated in for x;
$f(x)=\frac{3x-8}{6x}\\
f(3)=\frac{3(3)-8}{6(3)}\\
f(3)=\frac{9-8}{18}\\
f(3)=\frac{1}{18}\\\\
f(1)=\frac{3(1)-8}{6(1)}\\
f(1)=\frac{3-8}{6}\\
f(1)=\frac{-5}{6}\\\\
Now\ what\ you\ do\ is\ you\ subract\ f(3)\ and\ f(1).\\
f(3)-f(1)\\
f(3)-f(1)=\frac{1}{18}-\frac{-5}{6}\\
f(3)-f(1)=\frac{1}{18}-\frac{-15}{18}\\
f(3)-f(1)=\frac{1+15}{18}\\
f(3)-f(1)=\frac{16}{18}=\frac{8}{9}$
So the answer to f(3) - f(1) = $\frac{8}{9}$

6 0

2 years ago