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Llana [10]
2 years ago
13

Nora buys milk and onions at the store. She pays a total of $35.67. She pays a total of $5.91 for the milk. She buys 6 bags of o

nions that each cost the same amount. How much does each bag of onions cost?
Mathematics
1 answer:
asambeis [7]2 years ago
3 0
44.61 will be the cost of each bag of onions
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At a basketball game, an air cannon launches T-shirts into the crowd. The function y=−1/8x^2 + 4x represents the path of a T-shi
Juliette [100K]

Answer:

The T-shirt lands in the bleachers at a height of 14 feet.

Step-by-step explanation:

The point where they meet is the solution of the simultaneous system of equations:

y = -\frac{1}{8}x^2+4x...........................................(1)

3y = 2x - 14..............................................(2)

From (2),

y = \frac{2}{3}x-\frac{14}{3}.................................................(3)

Substituting (3) in (1),

\frac{2}{3}x-\frac{14}{3} =  -\frac{1}{8}x^2+4x

Multiply through by 24 (the LCM of 3 and 8, the denominators of the fractions)

(24\times\frac{2}{3}x)-(24\times\frac{14}{3}) =  (-24\times \frac{1}{8}x^2)+(24\times4x)

16x - 112 = -3x^2+96x

3x^2-80x -112 = 0

(x-28)(3x+4) = 0

x-28 = 0                 OR        3x+4=0

x=28                       OR        x = -\frac{4}{3}

The value of <em>y</em> represents the height.

Substituting for <em>x</em> in (3)

y = \frac{2}{3}\times28-\frac{14}{3} = \frac{56}{3} - \frac{14}{3} = 14

y = \frac{2}{3}\times(-\frac{4}{3})-\frac{14}{3} = -\frac{8}{9} - \frac{14}{3} = -\frac{50}{9}

We discard the negative answer.

Hence, the T-shirt lands in the bleachers at a height of 14 feet.

6 0
3 years ago
YO please help actually been waiting for an hour and a half cuz so many trolls lol. &lt;3 giivng brainliest, and ty in advance g
kati45 [8]

Hello!

For this problem we are given that quadrilateral ABCD is congruent to quadrilateral GJIH, meaning that all sides and angle measures will be equivalent to its corresponding side.

This means that to find x, we can look at quadrilateral GJIH's corresponding side to quadrilateral ABCD's side AD, which is side GH, which has a value of 9.

This means that 9 should also be the side length of side AD, which we're given a value of x/3.

x/3=9

Solve.

x=27

Hope this helps!

8 0
3 years ago
Read 2 more answers
Please help, Brainliest, thanks and five star
igomit [66]

Answer:

I think the answer is the fourth one

Step-by-step explanation:

6 0
3 years ago
Quadrilateral ABCD has vertices A(-2,0) B(-3,-3) C(-5,-2) D(-5,2). Which of the following are the coordinates of A' after a dila
Naya [18.7K]

Answer:

A' = (-5, 0)

"A" MAY NOT BE THE ANSWER CHOICE "A" IS THE NAME OF THE POINT

Step-by-step explanation:

If A = (-2,0)

Then multiplying each coordinate by 2.5 (-2*2.5, 0*2.5)

Gets us (-5, 0)

7 0
2 years ago
Solve<br><br>2.5 × 1000=<br><br>45.37 ÷ 100=<br><br>plz help​
poizon [28]
2.5x1000=2500
45.37/100=0.4537
5 0
3 years ago
Read 2 more answers
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