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3 years ago

12

In an orchard, there are 6 apple trees for every 4 pear trees. Create a ratio table to determine the number of apple trees in th

e orchard if there are 42 pear trees.

1 answer:

tamaranim1 [39]3 years ago

7 0

Answer:

Step-by-step explanation:42 divided by 6= 7 and then times 7 by 4 to get 28 which leaves you with the ratio 2:8

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A survey showed that 30% of students bring their lunch to school. The survey polled 300 students. How many of the 300 students d

Karolina [17]

Let's first find how many students bring their lunch to school. This is 30% of 300. To find this value, convert the percentage to a fraction (or decimal) and multiply:

$30\% \,\, \textrm{of} \,\,300 = \dfrac{3}{10} \cdot 300 = \dfrac{900}{10} = 90$

Since 90 students bring their lunch to school, we can say 210 students do not bring their lunch to school. (300 - 90 = 210)

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3 years ago

Lauren is selling tickets for her class play. She has already sold twice as many tickets this year as she did last year. If she

Aleksandr [31]

Lauren needs to sell 6 more tickets to reach her goal. 30- (12x2) 12x2=24 30-24=6

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3 years ago

Expand the given power by using Pascal’s triangle. (9a - 10b)^6

xxMikexx [17]

Answer:

$531441a^6-3542940a^5b+9841500a^4b^2-14580000a^3b^3+12150000a^2b^4-5400000ab^5+1000000b^6$

Step-by-step explanation:

1 n=0

1 1 n=1

1 2 1 n=2

1 3 3 1 n=3

1 4 6 4 1 n=4

1 5 10 10 5 1 n=5

1 6 15 20 15 6 1 n=6

This is where n is the exponent in

$(x+y)^n$ .

$(x+y)^6=1x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+1y^6$

Now we want to expand:

$(9a-10b)^6$ or we we can rewrite as $(9a+(-10b))^6$ .

Let's replace $x$ with $(9a)$ and $y$ with $(-10b)$ in the expansion:

$(x+y)^6=1x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+1y^6$

$((9a)+(-10b))^6$

$=1(9a)^6+6(9a)^5(-10b)+15(9a)^4(-10b)^2+20(9a)^3(-10b)^3+15(9a)^2(-10b)^4+6(9a)(-10b)^5+1(-10b)^6$

Let's simplify a bit:

$=9^6a^6-60(9)^5a^5b+15(-10)^2(9)^4a^4b^2+20(9)^3(-10)^3a^3b^3+15(9)^2(-10)^4a^2b^4+6(9)(-10)^5ab^5+(-10)^6b^6$

$=531441a^6-3542940a^5b+9841500a^4b^2-14580000a^3b^3+12150000a^2b^4-5400000ab^5+1000000b^6$

8 0

3 years ago

<img src="https://tex.z-dn.net/?f=3%20%2B%20%284%20%2B%205%29%20%3D%20%283%20%2B%204%29%20%2B%20m" id="TexFormula1" title="3 + (

max2010maxim [7]

Answer:

The value of m in the expression is 5

Step-by-step explanation:

Given expression as :

3 + ( 4 + 5 ) = ( 3 + 4 ) + m

Or, 3 + ( 9 ) = ( 7 ) + m

Or, 12 = 7 + m

∴ m = 12 - 7 = 5

Hence The value of m in the expression is 5 Answer

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3 years ago

What is the estimate of 33,497 divided by 182

Molodets [167]

The each awnser will be

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3 years ago

Read 2 more answers