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2 years ago

How is 0.09 smaller than 0.1

Mathematics

1 answer:

denis-greek [22]2 years ago

5 0

Answer:

$0.09 < 0.1$

Step-by-step explanation:

Remember that it doesn't matter how many numbers are after the tenths place of a decimal point what matters is the tenths place itself. If you have a decimal that has dozens of numbers but it's tenth place is a 3 and then you have a decimal with 5 numbers in whole but it's tenths place is 4, the 4 is greater then the 3 simply because it's greater in tenths.

Hope this helps.

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Maria's book is longer than Brandon's. The difference in the two book lengths is 56

Bingel [31]

Answer:

Maria's book is 202 pages long, Brandon's book is 146 pages long

Step-by-step explanation:

We can set this up with 2 variables: lets say that Maria's book length is x and Brandon's is y.

We can see that Maria's book is 56 pages longer than Brandon's and can come up with an equation:

x=y+56

We also see that their booklengths add up to 348, and can get:

x+y=348

From here, we solve for x and y. We can use substitution to find y.

x+y=348

(y+56)+y=348

2y=292

y=146

Here we plug in for x:

x=y+56

x=(146)+56

x=202

Therefor we get that Maria's book is 202 pages long, Brandon's book is 146 pages long

7 0

2 years ago

Solve the system of equations algebraically.

lubasha [3.4K]

Answer:

Option (d) is correct.

(1, 0) is the solution of the given system of equation.

Step-by-step explanation:

Consider the given system of equation

4x - 2y = 4 ........(1)

6x - 4y = 6 ........(2)

We have to solve the system algebraically ,

We will solve it by elimination method,

Multiply equation (1) by 2, we get,

(1) ⇒ 8x - 4y = 8 ............(3)

Subtract equation (2) from (3) , we get,

8x - 4y - (6x - 4y) = 8 - 6

8x - 4y - 6x + 4y = 2

8x - 6x = 2

⇒ x = 1

Substitute x = 1 in (1) and solve for y , we get,

⇒ 4x - 2y = 4 ⇒ 4 (1) - 2y = 4 ⇒ 2y = 4 - 4 ⇒ 2y = 0 ⇒ y = 0

Thus, (1, 0) is the solution of the given system of equation.

Option (d) is correct.

4 0

3 years ago

Read 2 more answers

Draw a point that shows the value of the 2020th dvddvd. label it 1. draw a point that shows the willingness to pay for the 1010t

Elina [12.6K]

Very hard question. .....

6 0

3 years ago

Austen needs to buy a bathroom mirror that is 2 feet wide and 3 feet long. If the mirror

PtichkaEL [24]

<h2><u>Question :-</u></h2>

Austen needs to buy a bathroom mirror that is 2 feet wide and 3 feet long. If the mirror sells for $5.00 per square foot, what will the total cost of the mirror be?

<h2><u>Solution :-</u></h2>

<h3><u>Given Information :-</u></h3>

<u>Length of the mirror Austen needs to buy ➢</u> 3 ft
<u>Width of the mirror Austen needs to buy ➢</u> 2 ft
<u>Cost of mirror per square foot ➢</u> $5.00

Total cost of the mirror Austen needs to buy.

<h3><u>Formula Used :-</u></h3>

Area of Mirror = Length × Width
Total cost of mirror = Area of mirror × Cost of mirror per square foot

<h3><u>Calculation :-</u></h3>

<u>Area of mirror :-</u>

<em><u>Substituting the values given in the 1st formula, We get, </u></em>

⇒ Area of mirror = ( 3 × 2 ) ft²

⇒ Area of mirror = 6 ft²

<u>Now finding the total cost of mirror,</u>

<em><u>Substituting the values calculated above in the 2nd formula, We get </u></em>

⇒ Total Cost of mirror = $ ( 6 × 5.00 )

⇒ Total Cost of mirror = $30

<h2><u>Final Answer :-</u></h2>

Total cost of the mirror Austen needs to buy will be $30

7 0

2 years ago

A hiker climbs a mountain. After 1 hour he is at an altitude of 200 feet. After 3 hours, he is at an altitude of 350 feet. What

s344n2d4d5 [400]

Answer: 75 feet per hour

Step-by-step explanation:

X: 1, 3

Y: 200, 350

150/2

6 0

3 years ago