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Delvig [45]
3 years ago
5

a discounted concert ticket costs $14.50 less than the original price pp. you pay $53 for a discounted ticket. write an equation

that can be used to find the original price. equation: =53=53
Mathematics
1 answer:
spayn [35]3 years ago
5 0
X = original price
x - 14.50 = 53 <== ur equation

x - 14.50 = 53
x = 53 + 14.50
x = 67.50...original price
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51 times the difference between a number and 21 is equal to the number plus 58.
Lerok [7]

51(x - 21) = x + 58

<em><u>Distributive property</u></em>

51x - 1071 = x + 58

<em><u>Subtract x from both sides</u></em>

50x - 1071 = 58

<em><u>Add 1071 to both sides</u></em>

50x = 1129

<em><u>Divide both sides by 50</u></em>

x = 22.58


7 0
3 years ago
A family of 2 adults and 3 children went on holiday to Miami.
oksano4ka [1.4K]

Answer:

£175

Step-by-step explanation:

Given the exchange rate was £1 = 1.84 dollars.

We are to change 322 dollars to pounds (£).

£1 = 1.84 dollars.

x = 322 dollars

Cross multiply

1.84 * x = 322

1.84x = 322

x = 322/1.84

x = 175

Hence 322 dollars in pounds will be £175

3 0
3 years ago
write a simplified polynomial expression in the standard form to represent the area of the rectangle below x-4 5x+2
Ann [662]

The area of the rectangle is 5x^{2} -18x-8

Explanation:

One side of the rectangle is x-4

The another side of the rectangle is 5x+2

The formula to find the area of the rectangle is length × width

Area = length × width

Substituting the values, we have,

\begin{aligned}\text { Area } &=(x-4)(5 x+2) \\&=5 x^{2}+2 x-20 x-8 \\&=5 x^{2}-18 x-8\end{aligned}

Thus, the area of the rectangle is 5x^{2} -18x-8

3 0
3 years ago
Read 2 more answers
Volume of a cone = r²h,
inessss [21]

Answer:

7.5 m           457.5\pi m^{2}

Step-by-step explanation:

First, visualize the original cone and the smaller cone as overlapping similar triangles. The scale factor of the original cone to the smaller cone is 50:40, so if the smaller cone has a radius of 6 m, then the radius of the original cone would be 7.5 m.

The volume of the frustum is the volume of the original cone minus the volume of the smaller cone. The formula for the volume of a cone is V = \frac{1}{3} \pi r^{2}h.

Original Cone = \frac{1}{3} \pi r^{2}h = \frac{1}{3} \pi *7.5^{2}*50 = 937.5\pi

Smaller Cone = \frac{1}{3} \pi r^{2}h =  \frac{1}{3} \pi *6^{2}*40 = 480\pi

Frustum = 937.5\pi - 480\pi = 457.5\pi

6 0
2 years ago
Please please help fast , thank you !
Tresset [83]

Answer:

2>x

y>-1

Step-by-step explanation:

assume y=0 when finding x and vice versa

4 0
3 years ago
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