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3 years ago

8

Amy drove 2,789 miles on her cross country trip.she rounded that number to 2,800 miles when she spoke of the trip. To which plac

e was the number rounded ?

1 answer:

erastova [34]3 years ago

5 0

Amy rounded to the 100ths place.

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The product of 40 and 6,000 is .....

Natasha2012 [34]

Answer:

240000

You have you multiply 40*6,000=240000. So that is your answer.

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2 years ago

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PLEASE HELP!!! MATH IS HORRIBLE! URGENT!!

torisob [31]

Answer:

A. m-6/24

Step-by-step explanation:

This is the required expression because,

1. Quotient of 24 and 6 less than m.

2. It means quotient of 24 and 6 subtracted from m.

3. Representing it mathematically, m-6/24.

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3 years ago

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Write a real-world situation for 7.50y + 9

Talja [164]

Answer:

Step-by-step explanation:

This equation is written in slope-intercept form, meaning that the value next to the variable (7.50) is the rate (slope) and the other number is the y-intercept (9).

So you can say that you mowed the lawn at $9 up front and 7.50 every hour (or half-hour whatever you want).

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3 years ago

Prove that root 7 is irrational by the method of contradiction

Alchen [17]

Let assume that $\sqrt7$ is a rational number. Therefore it can be expressed as a fraction $\dfrac{a}{b}$ where $a,b\in\mathbb{Z}$ and $\text{gcd}(a,b)=1$ .

$\sqrt7=\dfrac{a}{b}\\\\7=\dfrac{a^2}{b^2}\\\\a^2=7b^2$

This means that $a^2$ is divisible by 7, and therefore also $a$ is divisible by 7.

So, $a=7k$ where $k\in\mathbb{Z}$

$(7k)^2=7b^2\\\\49k^2=7b^2\\\\7k^2=b^2$

Analogically to $a^2=7b^2$ ------- $b^2$ is divisible by 7 and therefore so is $b$ .

But if both numbers $a$ and $b$ are divisible by 7, then $\text{gcd}(a,b)=7$ which contradicts our earlier assumption that $\text{gcd}(a,b)=1$ .

Therefore $\sqrt7$ is an irrational number.

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3 years ago

Y=5x-1<br>2x+y=13 how to solve

ira [324]

Answer:

x = 2, y = 9 or (2,9)

Step-by-step explanation:

Hello!

The first equation "y = 5x - 1" is telling us that y is equal to 5x - 1

We can plug in the first equation into the second like this:

2x + y = 13 (we know y so we can plug it in)

2x + (5x - 1) = 13

2x + 5x - 1 = 13

7x - 1 = 13

Now we add 1 to both sides

7x - 1 + 1 = 13 + 1

7x = 14

x = 2

Now we plug in x to find y:

y = 5x - 1

y = 5(2) - 1

y = 10 - 1

y = 9

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3 years ago