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Ivan
3 years ago
14

Help me solve this problem!!PLEASE help I need this answer and I need to know how to solve this by today!!

Mathematics
2 answers:
Cerrena [4.2K]3 years ago
8 0
Livia has a total budget of $64.00.


Subtract the cost of the socks from the budget.

64 - 50 = 14

Next, divide 14 by 2.20.

14 ÷ 2.20 = 6.36

So, Livia can buy 6 pairs of socks.


I hope that helped! c:
gogolik [260]3 years ago
6 0
She wants to purchase shoes that cost $ 50
she wants to purchase socks that cost 2.20 each......so the expression for this is 2.20s...with s being the number of pairs of socks bought
and she only has $ 64....so she has to spend 64 or less...< = 64

so ur inequality would be :
50 + 2.20s < =  64.....subtract 50 from both sides
2.20s < = 64 - 50
2.20s < = 14...divide both sides by 2.20
s < = 14 / 2.20
s < = 6.36....so she can purchase 6 pairs of socks without going over
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Answer:

a) the common difference is 20

b) x_8=115 , x_{12}=195

c) the common difference is -13

d) a_{12}=52, a_{15}=13

Step-by-step explanation:

a) what is the common difference of the sequence xn

Looking at the table, we get x_3=16, x_4=36 and x_5= 56

Deterring the common difference by subtracting x_4 from x_3 we get

36-16 =20

So, the common difference is 20

b) what is x_8? what is x_12

The formula used is: x_n=x_1+(n-1)d

We know common difference d= 20, we need to find x_1

Using x_3=16 we can find x_1

x_n=x_1+(n-1)d\\x_3=x_1+(3-1)d\\15=x_1+2(20)\\15=x_1+40\\x_1=15-40\\x_1=-25

So, We have x_1 = -25

Now finding x_8

x_n=x_1+(n-1)d\\x_8=x_1+(8-1)d\\x_8=-25+7(20)\\x_8=-25+140\\x_8=115

So, \mathbf{x_8=115}

Now finding x_{12}

x_n=x_1+(n-1)d\\x_{12}=x_1+(12-1)d\\x_{12}=-25+11(20)\\x_{12}=-25+220\\x_{12}=195

So, \mathbf{x_{12}=195}

c) what is the common difference of the sequence a_m

Looking at the table, we get a_7=104, a_8=91 and a_9= 78

Deterring the common difference by subtracting a_7 from a_8 we get

91-104 =-13

So, the common difference is -13

d) what is a_12? what is a_15?

The formula used is: a_n=a_1+(n-1)d

We know common difference d= -13, we need to find a_1

Using a_7=104 we can find x_1

a_n=a_1+(n-1)d\\a_7=a_1+(7-1)d\\104=a_1+7(-13)\\104=a_1-91\\a_1=104+91\\a_1=195

So, We have a_1 = 195

Now finding a_{12} , put n=12

a_n=a_1+(n-1)d\\a_{12}=a_1+(12-1)d\\a_{12}=195+11(-13)\\a_{12}=195-143\\a_{12}=52

So, \mathbf{a_{12}=52}

Now finding a_{15} , put n=15

a_n=a_1+(n-1)d\\a_{15}=a_1+(15-1)d\\a_{15}=195+14(-13)\\a_{15}=195-182\\a_{15}=13

So, \mathbf{a_{15}=13}

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Under a reflection in the y- axis

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substituting this back into the equation:

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