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Delicious77 [7]
4 years ago
8

Jackie has fewer than 20 h to work on her jewelry. It takes her half an hour to make a necklace and an hour to make a bracelet.

She wants to make x necklaces and y bracelets, and she wants at least twice as many bracelets as necklaces.
Select all inequalities that model this situation.




y>2x

x>0

0.5x+y≤20

0.5x+y<20

x≥0

y≥2x


Adam needs both small and large cones to set up for a soccer practice. He knows there are fewer than 30 cones in the storage room. He needs at least a dozen large cones.

Let x represent the number of small cones and y represent the number of large cones.

Select all inequalities that model this situation.




y≥12

x+y≤30

x>0

y>12

x+y<30

x≥0
Mathematics
1 answer:
aivan3 [116]4 years ago
8 0

Question 1.

(Jackie)

0.5x+y<20

y≥2x

x≥0

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A pattern follows the rule "Starting with three, every consecutive line has 2 less than twice the previous line."
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"Starting with three, every consecutive line has 2 less than twice the previous line."

this statement means that
your staring line has 3 marbles. You multiply the 3 marblesby 2 so
3x2=6
And then you minus it by 2
6-2=4

which means that you'll get 4 marbles for the next line.

So to get your 6th line, you count how many marbles is on the 5th line but since your diagram doesn't have the 5th line you have to figure out the 5th line by counting how.many marbles is on the 4th line.

4th line = 10 marbles

10×2=20
20-2=18

5th line = 18

18×2=36
36-2=34

So the 6th line has 34 marbles.
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3 years ago
-8x+y=6<br> 7x-1y=-4<br><br> Solve using substitution please
Natasha2012 [34]
-8x + y = 6

in the first equation, isolate y and then it becomes...

y = 6 + 8x

use this to replace the y in the second equation.

7x - 1y = -4

let y = 6 + 8x

7x - (6 + 8x) = -4

7x - 6 - 8x = -4

-x - 6 = -4

x + 6 = 4

x = 4 - 6

x = -2

now use this x = -2 into the equation with y.

y = 6 + 8x

y = 6 + 8(-2)

y = 6 -16

y = -10

Therefore, x = -2 and y = -10



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3 0
4 years ago
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Juan walks 3.5 miles in 56 minutes. How long will it take him to walk 1 mile?
mestny [16]

distance = time * speed

1 mile = time * 3.5 miles /56 minutes

so time = 56 minutes/3.5 = 16 minutes

5 0
3 years ago
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The graph highlights two other points on the trend line. Use them to find another equation for the trend line shown for this sca
Natasha2012 [34]
The general equation of the line:
 y = mx + c
where m is the slope of the line , and c is constant
m will be calculated using the points (2,1162) , (11,1900) as follow

m = (1900-1162)/(11-2) = 82
 
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By substituting with the point (2,1162) to find c
∴ c = y - 82x = 1162 - 82 * 2 = 998

∴ y = 82x + 998

The first choice is the correct answer


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