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3 years ago

Rewrite the following as a base-ten numeral: 3(10)^3+5(10)^2+6(10)

Mathematics

2 answers:

Setler [38]3 years ago

8 0

3000 + 500 + 60 = 3560

_____

Your calculator can help you out here if you really have no idea that the exponent of 10 tells you the number of zeros: 10^3 = 1000.

schepotkina [342]3 years ago

3 0

Answer:

3560

Step-by-step explanation:

3(10)^3+5(10)^2+6(10)

3× $10^{3}$ +5× $10^{2}$ +6×10

We have to solve the above equation

3× $10^{3}$ = 3×1000=3000

5× $10^{2}$ =5×100= 500

6×10=60

3× $10^{3}$ +5× $10^{2}$ +6×10

=3000+ 500+60

=3560

Hence, the correct answer is 3560

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Solve the system.

svetoff [14.1K]

Answer:

(0, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y + 5x = 1

5y - x = 5

Step 2: Rewrite Systems

y + 5x = 1

Subtract 5x on both sides: y = 1 - 5x

Step 3: Redefine Systems

y = 1 - 5x

5y - x = 5

Step 4: Solve for x

Substitution

Substitution in y: 5(1 - 5x) - x = 5
Distribute 5: 5 - 25x - x = 5
Combine like terms: 5 - 26x = 5
Isolate x term: -26x = 0
Isolate x: x = 0

Step 5: Solve for y

Define equation: 5y - x = 5
Substitute in x: 5y - 0 = 5
Subtract: 5y = 5
Isolate y: y = 1

8 0

2 years ago

For a beach trip, Sarai spends $9 on sunscreen, $18 on beach towels, $22 on food, $9 on a first aid kit, and $11 on sand toys.

AVprozaik [17]

$9 represents the Mode
Mode is data that occurs the most

6 0

3 years ago

Person 1 writes internal operating procedures 3 times faster than Person 2. Most of the procedures took 30 minutes each to creat

ad-work [718]

Person 1 takes 3 hour 10 minutes to complete 9 procedures

Solution:

From given question,

Person 2 takes 30 minutes per procedure

Person 1 writes internal operating procedures 3 times faster than Person 2

So we get, Person 1 takes 3 times faster than Person 2

Person 1 takes 10 minutes per procedure

But two of the procedures for Person 1 took an hour each

So person 1 takes 60 minutes each for two of procedures ( since 1 hour = 60 minutes )

Calculate how long it took Person 1 to complete 9 procedures:

So for first 7 procedures person 1 would take 10 minutes per procedure and for last two procedures person 1 would take 60 minutes per procedure

$time $=7$ procedures $\times \frac{10 \text { minutes }}{1 \text { procedure }}+2$ procedure $\times \frac{60 \text { minutes }}{1 \text { procedure }}$$

$time=70 minutes +120minutes\\\\time=190minutes$

We know that,

1 hour = 60 minutes

Therefore,

190 minutes = 60 minutes + 60 minutes + 60 minutes + 10 minutes

190 minutes = 1 hour + 1 hour + 1 hour + 10 minutes = 3 hour 10 minutes

Therefore Person 1 takes 3 hour 10 minutes to complete 9 procedures

7 0

3 years ago

What is the volume of a sphere with a radius of 12 inches? Use 3.14 for x.

likoan [24]

the volume of a sphere with a radius of 12 inches is 602.88

8 0

3 years ago

What’s the equation for a line passing through points (-1, 4.5) and (6, 8)?

san4es73 [151]

Answer:

Given points ( -1 , 4.5 ) and ( 6 , 8 )

Step-by-step explanation:

first we should calculate slope 

Slope ( m) 

= ( y2 - y1) / ( x2 - x1) 

= ( 8 - 4.5 ) / ( 6 + 1 )

= 3.5/7

= 0.5

Now the equation of line is given by 

y - y1 = m ( x - x1 )

y - 4.5 = 0.5 ( x + 1 )

( y - 4.5 ) = 0.5 ( x + 1)

y - 4.5 = 0.5x + 0.5

y = 0.5x + 0.5 + 4.5

y = 0.5x + 5

3 0

3 years ago