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Dmitrij [34]
3 years ago
7

Matt and Ming are selling fruit for a school fundraiser. Customers can buy small boxes and large boxes of apples. Matt sold 5 sm

all boxes of apples and 15 large boxes of apples for a total of $ 165 . Ming sold 11 small boxes of apples and 9 large boxes of apples for a total of $ 147 . Choose the system of equations that represent the situation.
Mathematics
1 answer:
ikadub [295]3 years ago
8 0

Answer:

$7; Cost of a box of apples (x)

$13; Cost of a box of oranges (y)

Step-by-step explanation:

Matt: 3x + 14y = 203           3(-y + 20) + 14y = 203          3x + 14(13) = 203

Ming: 11x + 11y = 220         -3y + 60 + 14y = 203             3x + 182 = 203

         11x = -11                           11y = 143                               3x = 21

           x = -y + 20                      y = 13                                  x = 7

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WHAT IS X³-27 SIMPLIFIED
Eduardwww [97]

Answer:

<u>It</u><u> </u><u>is</u><u> </u><u>(</u><u>x</u><u> </u><u>-</u><u> </u><u>3</u><u>)</u><u>³</u><u> </u><u>-</u><u> </u><u>9</u><u>x</u><u>(</u><u>3</u><u> </u><u>-</u><u> </u><u>x</u><u>)</u>

Step-by-step explanation:

Express 27 in terms of cubes, 27 = 3³:

=  {x}^{3}  -  {3}^{3}

From trinomial expansion:

{(x - y)}^{3}  = (x - y)(x - y)(x - y) \\

open first two brackets to get a quadratic equation:

{(x - y)}^{3}  = ( {x}^{2}  - 2xy +  {y}^{2} )(x - y)

expand further:

{(x - y)}^{3}  =  {x}^{3}   - y {x}^{2}  - 2y {x}^{2}  + 2x {y}^{2}  + x {y}^{2}  -  {y}^{3}  \\  {(x - y)}^{3}  =  {x}^{3}  -  {y}^{3}  + 3x {y}^{2}  - 3y {x}^{2}  \\  {(x - y)}^{3}  =  {x}^{3}  -  {y}^{3}  + 3xy(y - x) \\  \\ { \boxed{( {x}^{3} -  {y}^{3} ) =  {(x - y)}^{3}   - 3xy(y - x)}}

take y to be 3, then substitute:

( {x}^{3}  - 3^3) =  {(x - 3)}^{3}  - 9x(3 - x)

5 0
3 years ago
A map has a scale of 2cm=50 km.If two cities appear 10 cm meters apart, how many kilometers apart really are they?
ra1l [238]

Answer:

2 cm = 50 km

Find what the rate would be if 2 became 10 by dividing

10/2=5

multiply the 5 with the rate

5 x 50 = 250

250 km apart

hope this helps

Step-by-step explanation:

4 0
3 years ago
I need help fast
Pie
YZ since they are in the same spot in the cong statement
4 0
3 years ago
Which is equivalent to -√10 3/4^x?
Galina-37 [17]

3√10^4x is equivalent to -√10 3/4^x and -4√10^3x they are all equivalent

4 0
3 years ago
Read 2 more answers
If the gradient of a line, A, is 4, what is the gradient of a line which is perpendicular to A?
Ne4ueva [31]

Answer:

m = - 1/4

Step-by-step explanation:

When two line is perpendicular to each other the product of them is - 1

So let the other line be B

Gradient of B = t

Gradient of A = 4

t \times 4 =  - 1 \\  t =  - \frac{1}{4}

therefore m = - 1/4

8 0
2 years ago
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