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Helga [31]
3 years ago
15

Find the value of x​

Mathematics
1 answer:
aliya0001 [1]3 years ago
8 0

Answer:

x= 64

Step-by-step explanation:

by Z rule

x= 180-116 = 64

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Q # 1 solve the problem
masha68 [24]
The solution is shown in the graph attached.

Explanation:

I am goind to teach you how to get that solution.

1) Restricctions: both x and y cannot be negative, i.e. x ≥ 0 and y ≥ 0

⇒ the solution is on the first quadrant.

2) Using the prices of the tickets, $ 8 for adults, and $ 6 for children, the linear equation for the costs is: cost = 8x + 6y.

3) Since the radio station is willing to spend a maximum of $ 172 you have the final restriction:

⇒ 8x + 6y ≤ 172.

4) Then the solutions that meet the three restrictions (x ≥0, y ≥ 0, and 8x + 6y ≤ 172) is found graphically by drawing the line 8 x + 6y = 172

5) To draw the line 8x + 6y = 172, use the axis intercepts:

x = 0 ⇒ y = 172/6 = 86/3 ⇒ point (0, 86/3)

y = 0 ⇒ x = 172/8 = 86/4 ⇒ point (86/4, 0)

6) Once you have the line you shade the region that is between the line and the two axis. That region contain of the possible solutions.

4 0
3 years ago
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Please help! 11 pts.
sdas [7]

Pythagorean Theorem can be used only for right triangles.

(leg1)² +(leg2)² = hypotenuse ²

So, answer is the right triangle B.

6 0
3 years ago
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A box with no top is to be constructed from a piece of cardboard whose length measures 12 inches more than its width. The box is
MAXImum [283]

Answer:

Width is 12 inches and height is 4 inches.

Step-by-step explanation:

Let the width of the piece of cardboard be = w inches

Then length is = w+12 inches

As given, 4 inch squares are cut from each corner;

So, the width is = w-8 inches

Length is = w+12-8=w+4 inches

When we are folding the cut portion, that gives the height as = 4 inches

The volume is given by : length x width x height

And volume is given as 256 cubic inches

So, 256=(w+4)(w-8)(4)

=> 256=(w^{2}-4w-32)4

=> 64=(w^{2}-4w-32)

=> w^{2} -4w=96

or w^{2} -4w-96=0

=> w^{2} -12w+8w-96=0

=> w(w-12)+8(w-12)=0

We get , (w+8)=0 ; w = -8(neglect the negative value)

(w-12)=0 ; w = 12 inches

And length = 12+12=24 inches

Hence, dimensions are : L = 24 inches ; w = 12 inches and h = 4 inches

We can check by putting these values in equation : 256=(w+4)(w-8)(4)

256=(12+4)(12-8)(4)

=> 256=(16)(4)(4)

=> 256=256

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3 years ago
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Sati [7]
The first one is 1,3,31,62 and the second answer is 1,5,8
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3 years ago
HELP LOL! IS THIS PROPORTIONAL EASY POINTS
goblinko [34]

Answer:

nonproportional

Step-by-step explanation:

nonproportional is what i think

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