Solve 5x – 1 = 3x – 15. Explain each step, and include the Properties of Equality that you used.

A number, x, rounded to 2 significant figures is 1300<br>Write down the error interval for x.

nikitadnepr [17]

Answer:

$[1250,1350)$ .

Step-by-step explanation:

It is given that a number, x, rounded to 2 significant figures is 1300.

It is possible if,

1. The value of x is greater than of equal to 1250 and less than or equal to 1300.

i.e., $1250\leq x\leq 1300$ ...(1)

2. The value of x is greater than of equal to 1300 and less than 1350.

i.e., $1300\leq x$ ...(2)

On combining (1) and (2), we get

$1250\leq x < 1350$

1350 is not included in the error interval for x.

Interval notation is $[1250,1350)$ .

Therefore, the error interval for x is $[1250,1350)$ .

7 0

3 years ago

A light bulb consumes 3600 watt-hours in 3 days and 18 hours. How many watt-hours does it consume per day?

Tasya [4]

18 hours = 18/24 reduces to 3/4 of a day

3/4 = 0.75

so 3600/3.75 = 960 watts per day

3 0

3 years ago

Read 2 more answers

What is the distance between A and B? Round your answer to the nearest tenth.

poizon [28]

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
A(\stackrel{x_1}{-1}~,~\stackrel{y_1}{5})\qquad 
B(\stackrel{x_2}{4}~,~\stackrel{y_2}{1})\qquad \qquad 
% distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
AB=\sqrt{[4-(-1)]^2+[1-5]^2}\implies AB=\sqrt{(4+1)^2+(1-5)^2}
\\\\\\
AB=\sqrt{5^2+(-4)^2}\implies AB=\sqrt{41}$

4 0

3 years ago

If <3=70°, then find the rest of the angles.

Sati [7]

If <3=70°, then find the rest of the angles.

3/4

5/6

7/8

79

1.) m<1=

2.) m<2=

4.) m<5=

3.) m<4=

6.) m<7=

5.) m<6=

subscribes to iwpp

6 0

4 years ago

What is 2 1/8 + 4 2/3 simplified

lesya [120]

Answer: 5 7\8

Step-by-step explanation:

7 0

3 years ago