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skad [1K]
3 years ago
6

Three people go to a restaurant. Their bill comes to $78.00. They decide to split the cost. One person pays $4.50; the next pers

on pays 3 times that amount. How much will the third person have to pay?​
Mathematics
2 answers:
Nikitich [7]3 years ago
8 0

Answer:

$60.00

Step-by-step explanation:

First person:

$4.50

Second person:

3 times $4.50 = $13.50

Total of first two people:

$4.50 + $13.50 = $18.00

Third person:

$78.00 - $18.00 = $60.00

The third person pays $60.00

mina [271]3 years ago
6 0

Answer:

Third Person pays: $60

Step-by-step explanation:

78.00 - 4.50 - 3(4.50) = 60

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7 0
3 years ago
Someone help, I just need the answers, no explanation or non of that
liraira [26]

Answer:

5). x = 15

7). JL = 78

Step-by-step explanation:

We can solve these problems with the help of midsegment theorem.

Midsegment theorem:

"Segment joining midpoints of two sides of a triangle is parallel and half the measure of third side of the triangle"

Question 5

8x - 23 = \frac{1}{2}(10x+44)

8x - 23 = 5x + 22

8x - 5x = 22 + 23

3x = 45

x = 15

Therefore, x = 15 is the answer.

Question 7

Since, MN is the midsegment,

MN = \frac{1}{2}(JL)

5x - 16 = \frac{1}{2}(4x+34)

5x - 16 = 2x + 17

5x - 2x = 17 + 16

3x = 33

x = 11

Therefore, Length of JL = 4(11) + 34

                                        = 44 + 34

                                        = 78 units

5 0
3 years ago
At a concession​ stand, five hot dog left parenthesis s right parenthesis and four hamburger left parenthesis s right parenthesi
mezya [45]
Hotdogs = $1.00
hamburgers = $1.75

5 hotdogs + 4 hamburgers = $12.00
4 hotdogs + 5 hamburgers = $12.75
hotdogs = x
hamburgers = y

5x + 4y = 12
4x + 5y = 12.75
subtract the second equation from the first:
(5x + 4y = 12) - (4x + 5y = 12.75) =
1x - 1y = -0.75
x + 0.75 = y ( this means one hotdog plus $0.75 equals one hamburger)
now substitute "y" for "x + 0.75" in either equation to find x ( I used the first equation)
5x + 4y = 12
5x + 4( x + 0.75) = 12
5x + 4x + 3 = 12
9x + 3 = 12
9x = 9
x = 1 ( one hotdog costs $1.00)
now substitute 1 for "x" in either equation to find y ( I used the first equation again)
5x + 4y = 12
5(1) + 4y = 12
5 + 4y = 12
4y = 7
y = 1.75 ( one hamburger costs $1.75)

checking answers with either equation ( input $1.00 for hotdogs and $1.75 for hamburgers):
equation 1:
5 hotdogs + 4 hamburgers = $12.00
5($1.00) + 4($1.75) = $12.00
$5.00 + $7.00 = $12.00
$12.00 = $12.00 ✔

equation 2:
4 hotdogs + 5 hamburgers = $12.75
4($1.00) + 5($1.75) = $12.75
$4.00 + $8.75 = $12.75
$12.75 = $12.75 ✔
8 0
4 years ago
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