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Veseljchak [2.6K]
3 years ago
15

Which is true about the solution to the system of inequalities shown? y less than or equal to 1/3x-1 and y less than or equal to

1/3x-3
Mathematics
1 answer:
tekilochka [14]3 years ago
4 0
Y≤x/3-1  AND y≤x/3-3

So for BOTH inequalities to be true:

y≤x/3-3


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The horizontal distance of E is 9 units to the east of point F. Determine the coordinates of F if the coordinates of E are (3,8)
Vsevolod [243]

Answer:

(-6,8)

Step-by-step explanation:

By reading the question you can determine that point E is to the east, or the right, of point F by 9 units. This ultimately means you must subtract 9 units on the horizontal (x-axis) in order to get to point F.

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Ms. Dunn spent 10.70 buying slices of pie and cookies. She bought a total of 24 items. A slice of pie costs 0.80 and a cookie co
Rus_ich [418]

Answer:

Ms. Dunn bought 7 slices of pie.

Step-by-step explanation:

With the information provided, you can write the following equations:

x+y=24 (1)

0.80x+0.30y=10.70 (2), where:

x is the number of slices of pie

y is the number of cookies

First, you can solve for x in (1):

x=24-y (3)

Next, you have to replace (3) in (2) and solve for y:

0.80(24-y)+0.30y=10.70

19.2-0.80y+0.30y=10.70

19.2-10.70=080y-0.30y

8.5=0.5y

y=8.5/0.5

y=17

Finally, you can replace the value of y in (3) to be able to find the value of x:

x=24-17

x=7

According to this, the answer is that Ms. Dunn bought 7 slices of pie.

7 0
3 years ago
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