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2 years ago

A nature center charges $35.25

Mathematics

1 answer:

gregori [183]2 years ago

4 0

Answer: 12 yearly admissions and 38 single admissions

Step-by-step explanation:

Let x be yearly membership

Let y be single admission

x+y=50 --> # of tickets sold

35.25x+6.25y=660.50 --> $ of tickets

Use elimination method to solve (multiply equation 1 by -3525 and equation 2 by 100)

-3525x-3525y=-176250

+ 3525+625y=66050

-----------------------------------

-2900y=-110200

y=38

Substitute y=38 into equation 1

x+38=50

x=12

Therefore, 12 yearly admissions and 38 single admissions were sold

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2 years ago

3. Is XY Tangent to circle Z? Y 12 X (20 Z 18

Ratling [72]

Answer:

XY is a tangent

Step-by-step explanation:

Given

$XY = 12$

$WY = 20$

$WZ = 8$

Required

Is XY a tangent?

XY is a tangent if:

$WY^2 = XY^2 + WX^2$

Because XY should make a right angle at point X with the circle

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$WX = 2 * WZ$

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$WY^2 = XY^2 + WX^2$

$WY^2 = XY^2 + (2*WZ)^2$

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4 0

2 years ago

Aaron is 6 years old, Beth is 9 years old and Charlie is 15 years old. They are going to share £5940 in the same ratio as their

Andre45 [30]

Answer:

$Aaron=1188$

$Beth=1782$

$Charlie=2970$

Step-by-step explanation:

From the question we are told that

Ratio 6:9:15

Total amount to e shared N=£5940

Generally the Ratio can divide the Total amount mathematically as follows

Ratio

6:9:15/3=2:3:5

Sum of ratio

2+3+5=10

For Aaron

$A=\frac{2}{10} *5940$

$A=1188$

For Beth

$B=\frac{3}{10} *5940$

$B=1782$

For Charlie

$C=\frac{2}{10} *5940$

$C=2970$

Check answer

$A+B+C=5940\\1188+1782+2970=5940$

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2 years ago