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timofeeve [1]
1 year ago
13

How can emily use the above to make an estimate for 576 ÷8

Mathematics
1 answer:
Grace [21]1 year ago
7 0

Given the equation :

576\div8​

We will use estimation to find the value of the given expression

So, the best estimation for the number 576 is = 600

The best estimation for the number 8 is = 10

So, the given expression is approximately = 600 ÷ 10 = 60

===================================================================

We can calculate the error of the approximation as following :

The actual value is : 576 ÷ 8 = 72

So, the difference is = 72 - 60 = 12

so, the percentage of error will be :

\frac{12}{72}\cdot100=16.7\%

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Math ..................
Vaselesa [24]

It can work well here to simplify inside parentheses first.

\displaystyle\left(\frac{4x^{-2}y^{2}}{12x^{-4}y^{-1}}\right)^{3}=\left(\frac{4}{12}x^{(-2-(-4))}y^{(2-(-1))}\right)^{3}\\\\=\left(\frac{x^{2}y^{3}}{3}\right)^{3}=\frac{x^{(2\cdot 3)}y^{(3\cdot 3)}}{3^{3}}\\\\=\frac{x^{6}y^{9}}{27}

_____

The correct selection is not show with your problem statement.

7 0
3 years ago
Read 2 more answers
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!
leonid [27]

⚘<em>Refer to the attachments for solution!!~</em>

8 0
2 years ago
Help with this task it's confusing can u explain how you got the answer
Andru [333]
Oh my goodness !  You were doing such an absolutely beautiful job,
as far as you went, but then you ran into some rough road and quit.

You've got the correct expressions for the ages of the three people:

-- Will . . . w
-- Ben . . . w+3
-- Jan . . . 2(w+3)
You slipped up when you expanded Jan's age:  2(w+3) = <u>2w + 6</u> ,
and it was all down hill from there.

Let's do it again, together:

-- Will . . . w
-- Ben . . . w + 3
-- Jan . . . 2w + 6

Total:  (w + w + 2w) + (3 + 6) = 4w + 9

So the equation is:    <em><u>4w + 9 = 41</u></em>
Now you're supposed to solve it.

Subtract 9 from each side:   4w  =  32

Divide each side by 4:        <u>w = 8</u>

-- Will = w . . . . . 8 y.o.
-- Ben = w+3 . . . 11 y.o.
-- Jan = 2(w+3) . . 22 y.o.

When will Jan be twice as old as Will ?
That'll happen in 'x' years.
At that time, Will will be (8+x) and Jan will be (22+x),
and her age will be double Will's age.

22 + x  =  2(8 + x)

22 + x  =  16 + 2x

Subtract 'x' from each side:    22  =  16 + x

Subtract  16  from each side:  <em>  6 = x</em>

<u>Check:</u>

In 6 years, Jan will be (22+6) = 28,
and Will will be (8+6) = 14 .

28 = twice as old as 14.      yay!

Can I make a little suggestion ?
I'm going to make it anyway:

Your problem was neatness.
You were doing great work in that big open space on the sheet, but it
started to get ragged.  When you tried to look back to see if you made
a mistake, you couldn't find it in the mess.
This is not an easy problem, but you definitely know your stuff. 
I think if you keep it a little neater, you're going to sparkle !
7 0
3 years ago
Mrs. Allan's car uses 8 gallons of gas for a 224-mile trip. Mrs. Owen's car uses 6 gallons of gas for a 210-mile trip. How many
Feliz [49]

Answer:

Mrs. Allan's Car will use <u>20 gallons</u> of gas for 560 miles trip.

Mrs. Owen's Car will use <u>16 gallons</u> of gas for 560 miles trip.

Step-by-step explanation:

Given:

Number of Miles for Mrs Allan car = 224 miles

Number of gallons of gas required = 8

We need to find the number of gallons of gas required for 560 miles for Mrs. Allan's car.

First we will find, in 1 gallons how many miles does Mrs Allan's Car drives.

For 8 gallons = 224 miles

So for 1 gallons = Number of miles in 1 gallon of gas

By using Unitary method we get;

Number of miles in 1 gallon of gas = \frac{224}{8}= 28\ miles

Now we know that;

for 28 miles = 1 gallon of gas is required.

So for 560 miles = Number of gallon of gas required in 560 miles.

Again by using Unitary method we get;

Number of gallon of gas required in 560 miles = \frac{560}{28}= 20\ gallons

Hence Mrs. Allan's Car will use <u>20 gallons</u> of gas for 560 miles trip.

Also Given:

Number of Miles for Mrs Owen's car = 210 miles

Number of gallons of gas required = 6

We need to find the number of gallons of gas required for 560 miles for Mrs. Owen's car.

First we will find, in 1 gallons how many miles does Mrs Owen's Car drives.

For 6 gallons = 210 miles

So for 1 gallons = Number of miles in 1 gallon of gas

By using Unitary method we get;

Number of miles in 1 gallon of gas = \frac{210}{6}= 35\ miles

Now we know that;

for 35 miles = 1 gallon of gas is required.

So for 560 miles = Number of gallon of gas required in 560 miles.

Again by using Unitary method we get;

Number of gallon of gas required in 560 miles = \frac{560}{35}= 16\ gallons

Hence Mrs. Owen's Car will use <u>16 gallons</u> of gas for 560 miles trip.

8 0
3 years ago
20 POINTS ASAP 16 = 2^x − 2 <br><br>a)2 <br><br>b)4 <br><br>c)6 <br><br>d)8
Lilit [14]

Answer:

4

Step-by-step explanation:

Exact Form:

x

=

ln( 18)

---------

ln (2)

Decimal Form:

x=4.16992500

…

8 0
3 years ago
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