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hoa [83]
3 years ago
9

It costs $3 for children and $7 for adults to attend a school basketball game. If 5000 people attended the game and the total ta

kings at the door was $25000, determine the number of children and the number of adults that attended the game, using simultaneous elimination.
Mathematics
1 answer:
AleksAgata [21]3 years ago
4 0

Answer:

2500 children and 2500 adults

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Add (4x^2-xy-y^2) and (x^2+5xy+8y^2) simplify your answer:
bazaltina [42]

Answer:

To find a, b, and c, rewrite in the standard form ax2+bx+c=0ax2+bx+c=0.

a=1, b=3, c=0

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3 years ago
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A sphere is inscribed in a cylinder. Use complete sentences and geometric formulas to compare the surface area of the sphere and
Papessa [141]

Answer:

1 : 1

Step-by-step explanation:

When a circle is inscribed in a cylinder, the height of the cylinder is equal to the diameter of the sphere and the radius of the cylinder is same as that of the sphere.

Let the radius of sphere is r.

height of cylinder, h = 2r

radius of cylinder = r

Surface area of sphere, A = 4πr²

lateral surface area of cylinder, A' = 2 πrh

A' = 2πr x 2r = 4πr²

The ratio of surface area of sphere to the lateral surface area of cylinder is 1 : 1.

5 0
3 years ago
4(1 - x) + 3x = - 2(x + 1)
liubo4ka [24]

Answer:

X=-6

Step-by-step explanation:

4(1−x)+3x=−2(x+1)

(4)(1)+(4)(−x)+3x=(−2)(x)+(−2)(1)(Distribute)

4+−4x+3x=−2x+−2

(−4x+3x)+(4)=−2x−2(Combine Like Terms)

−x+4=−2x−2

−x+4=−2x−2

Step 2: Add 2x to both sides.

−x+4+2x=−2x−2+2x

x+4=−2

Step 3: Subtract 4 from both sides.

x+4−4=−2−4

x=−6

Answer:

x=−6

4 0
3 years ago
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16/25+8/5+4+10…+a10<br> what’s the sum of the series
sweet-ann [11.9K]

Answer:

correct answer is 406/25+a10

Step-by-step explanation:

6 0
2 years ago
in a coordinate plane the midpoint of AB is (4,-3) and A has coordinate (1,5). if B has coordinate (x,y) find the value x+y​
Aloiza [94]

Answer:

Please check the explanation.

Step-by-step explanation:

The midpoint (a, b) of line joining points (x₁, y₁) and (x₂, y₂)

a = x₁ + x₂ / 2

b = y₁ + y₂ / 2

Given that the midpoint of AB is (4, -3).

i.e. (a, b) = (4, -3)

Given that A has coordinate (1, 5).

i.e. (x₁, y₁) = (1, 5)

We have to determine the coordinates of B.

i.e. (x₂, y₂) = B

Thus,

4 = (1 + x₂)/2

(1 + x₂) = 4 × 2

1 + x₂ = 8

x₂ = 7

and

-3 = (5 + y₂)/2

(5 + y₂) = -3 × 2

5 + y₂ = -6

y₂ = -11

so (x₂, y₂) = (7, -3) = B

Thus, the coordinates of B = (x₂, y₂)  = (7, -3)

Therefore,

x₂ + y₂ = 7 + (-3)

          = 7 - 3

          = 4

Hence, the value of x₂ + y₂ = 4

4 0
3 years ago
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