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Snowcat [4.5K]
2 years ago
8

An owner of a small store knows that in the last week 54 customers paid with cash, 42 paid with a debit card, and 153 paid with

a credit card. Based on the number of customers from last week, which fraction is closest to the probability that the next customer will pay with cash? *
Mathematics
1 answer:
goblinko [34]2 years ago
8 0

Answer:

Step-by-step explanation:

54 customers paid with cash

42 paid with debit card

153 paid with credit card

Add them up to find the total amount of people:

54 + 42 + 153 = 249

Now write 54(the number of customers who paid with cash) as a fraction over the total, 249.

54/249

So the probability that customers will pay cash is 54/249 or 18/83

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How many solutions are there for the system x^2+4y^2=100 and 4y-x^2=-20
never [62]
There are 5 solutions for this system.

x^2 + 4y^2 = 100  ____1
4y - x^2 = -20  ____2
Add both 1 & 2 together. x^2 gets cancelled
4y^2 + 4y = 80   (send 80 to the other side and divide by 4)
Then equation the becomes : y^2 + y -20 =0
Now factorise the equation: (y+5) (y-4) = 0
Solve for y :  y = -5 and y = 4
Using the values of y to find the values of x. From equation 1:
x^2 = 100 - 4y^2    x = /100 - 4y^2  (/ means square root) Replace values of y
y = -5, x = /100 - 4(-5)^2 = /100 - 100 = 0
y = 4, x = /100 - 4(4)^2 = / 100 - 64 = /36 = -6 or 6
Thus we have 6 solutions y = -5, 4 and x = -6, 0, 6
6 0
3 years ago
HELP ME OUT PLS!!!!!​
miskamm [114]

Answer:

x = 26

Step-by-step explanation:

Supplementary angles mean that when the two angles are added together, they add up to 180. With this info, we can set the two expressions equal to 180

124 + (2x + 4) = 180.    

128 + 2x = 180    combine like terms

2x = 52      subtract both sides by 128

x = 26.      divide both sides by 2

5 0
2 years ago
What is the solution and the inequality ?
Nikolay [14]
Inequality : 19.50n+24≤$110

Solution: Alyssa can buy 4 DVDs

Work: 110-24=86
           86/19.50 = 4.4

You can't have a fraction of a DVD, so you have to round down to 4. 
4 0
3 years ago
PLS ANSWER <br> I WILL MARK AS BRAINLIST
marysya [2.9K]

Answer:

Option 3

Step-by-step explanation:

This may not be the most efficient way, but I solved each one and option 3 had the same answer as the question.

8 0
2 years ago
Find the equation of a line that is perpendicular to 4x+6y=1 and that has a greater intercept to the line 2x+3y=18
enot [183]

Answer:

2y - 3x = -15

Step-by-step explanation:

Slope of the line 4x + 6y = 1 is as shown below;

Rewrite in slope intercept form;

6y = -4x+1

y = -4x/6 + 1/6

y = -2x/3 + 1/6

mx = -2/3x

m = -2/3

The slope of the line perpendicular M = -1/(-2/3)

M = 3/2

Get the x and y intercept of 2x+3y = 18

x intercept occurs when y  = 0

2x + 0 = 18

x= 18/2

x = 9

y intercept occurs when x  = 0

0 + 3y = 18

3y= 18

y = 18/3

y = 6

The line passes through the point (9,6)

Write the equation in point slope form

y - y0 = m(x-x0)

y - 6  = 3/2(x-9)

2(y-6) = 3(x-9)

2y - 12 = 3x - 27

2y - 3x = -27 + 12

2y - 3x = -15

This gives the required equation

8 0
3 years ago
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