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kenny6666 [7]
3 years ago
13

I need help in math

Mathematics
1 answer:
sladkih [1.3K]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

JK = 4x + 6 = (4 × 4) + 6 = 16 + 6 = 22

LM = 5x + 2 = (5 × 4) + 2 = 20 + 2 = 22

KL = 2y - 2 = (2 × 8) - 2 = 16 - 2 = 14

MJ = y + 6 = 8 + 6 = 14

So JK = LM and KL = MJ

JKLM is a parallelogram since opposite sides are congruent

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Suppose you need to get the dent in your car fixed. You see the ads in the newspaper above (mikes repair shop $100 service charg
Norma-Jean [14]

Answer:

<em>Total Cost at Amy's shop is $280 which is less than the total cost at Mike's shop which is $295, so I will take the car to Amy's shop</em>

<em>Point of intersection: (x,y) = (4,360)</em>

Explanation:

Part 1 )

Let x = number of hours worked

Let y = total cost to you

Determining where to take the car:

<em>Total Cost at Amy's shop is $280 which is less than the total cost at Mike's shop which is $295</em>

Mike's repair shop:

Service fee: $100

Per hour rate: $65

Let x is the number of hours worked on. Total cost will be equal to the service fee plus hourly charges. Charges per an hour are $65, so for x hours the charges will be 65x.

Therefore, total cost for Amy's repair shop can be written as:

y = 100 + 65x ------(1)

For 3 hours work: y = 100 + 65(3)

<em>Cost at Mike's, y = $100 + $195 = $295</em>


<em>Amy's repair shop: </em>

Service fee: $40

Per hour rate: $80

Charges per an hour are $40, so for x hours the charges will be 80x.

Therefore, total cost for Amy's repair shop can be written as:

y = 40 + 80x ------(2)

For 3 hours work: x = 3

y = 40 + 80(3)

<em>Cost at Amy's, y  = $40 + $240 = $280</em>


<em>Part 2)</em>

<em>Find the point of intersection</em>

<em>Using elimination method:</em>

<em>y = 100 + 65 x    ------1</em>

<em>y = 40 + 80x      ------2</em>

<em>As the y coefficients are equal we will subtract eq1 from eq2</em>

<em>y - y = 40 + 80x - 100 - 65x</em>

<em>0 = -60 + 15x</em>

60 = 15x

x = \frac{60}{4}

x = 4

put x = 4 in eq 1

we get y = 100 + 65 (4) = 100 + 260 = 360

x = 4, y = 360

Point of intersection: (x,y) = (4,360)



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Step-by-step explanation:

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sergiy2304 [10]

Answer: 6.9\ minutes

Step-by-step explanation:

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Once you analize the information given in the exercise, you can identify that 43 minutes is the 100%.

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\frac{100}{43}=\frac{16}{x}

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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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