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Tju [1.3M]
3 years ago
15

Last saturday, the museum box office sold 281 tickets for a total of $3,954. Adult tickets cost $15, and student tickets cost $1

2. How many of each kind of ticket were sold?
Mathematics
1 answer:
Helen [10]3 years ago
4 0

If all were student tickets, revenue would be 12·281 = 3372. It is actually 3954-3372 = 582 more than that. Each adult ticket sold increases revenue by $3, so there must have been 582/3 = 194 adult tickets sold. Then 87 student tickets were sold.

87 student and 194 adult tickets were sold.

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What is the multiplicative inverse of 19/3​
denpristay [2]

Answer:

3/19

Step-by-step explanation: So basically you are asking for the reciprocal and the reciprocal of 19/3 is 3/19. You just basically flip the fraction around.

3 0
3 years ago
Simplify the number into simplest radical form. Use the factor tree to help determine the factors. StartRoot 96 Endroot StartRoo
NikAS [45]

Answer:

[tex]4608\sqrt{3}[/tex]

Step-by-step explanation:

1. \sqrt{96} *\sqrt{6}* 2*\sqrt{6}*4 *\sqrt{6} *4*\sqrt{3}

2. \sqrt{2^{5} *3} \sqrt{6} *2\sqrt{6}*4\sqrt{6}*4\sqrt{3}   <em>factoring 96</em>

<em>since \sqrt{2^{5}*3 } = \sqrt{2^{5} } \sqrt{3}</em>

3. \sqrt{2^{5} } \sqrt{3}\sqrt{6} *2\sqrt{6}*4\sqrt{6}*4\sqrt{3}

<em>using exponent rule - (a^{b}) ^{c} = a^{bc}</em>

<em> \sqrt{2^{5} } = 2^{5/2}</em>

4. 2^{5/2}\sqrt{3}\sqrt{2*3} *2\sqrt{6}*4\sqrt{6}*4\sqrt{3}

<em>doing some simple simplification and 4=2^{2}  and 6=2*3</em>

5. 2^{5/2} \sqrt{3} \sqrt{2} \sqrt{3} *2\sqrt{2} \sqrt{3} *2^{2}\sqrt{2} \sqrt{3}*4\sqrt{3}

<em>collecting the roots on one side and applying exponent rule</em>

6. \sqrt{3} \sqrt{3}\sqrt{3} \sqrt{3}\sqrt{2} \sqrt{2}\sqrt{2} *2^{5/2+1+2+2} \sqrt{3}

<em>Applying exponents rule on all \sqrt{3} and \sqrt{2}</em>

<em>7. 2^{1/2+1/2+1/2} *2^{5/2+1+2+2}*3^{1/2+1/2+1/2+1/2+1/2}</em>

<em>combining all powers of 2</em>

8. 2^{1/2+1/2+1/2+5/2+1+2+2}*3^{1/2+1/2+1/2+1/2+1/2}

<em>Simplifying</em>

9. 2^{9} *3^{2}\sqrt{3}

10. 512*9\sqrt{3}

11. 4608\sqrt{3}

3 0
3 years ago
Read 2 more answers
Which graph represents the function f(x)=−3x+7
zepelin [54]

It's be a line that crosses the y-axis at (0,7) and has a slope of -3 or -3/1.

4 0
2 years ago
Plz help i need this done now.
tatuchka [14]

Answer:

infinite solutions

Step-by-step explanation:

4x+4(3x+7) = 8(2x-3) +52

Distribute

4x+12x+28 = 16x-24+52

Combine like terms

16x+28 = 16x +28

Subtract 16x from each side

16x-16x+28 = 16x-16x +28

28=28

This is true, so there are infinite solutions

8 0
3 years ago
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Maksim231197 [3]

Answer:

y = -17/2

Step-by-step explanation:

Substitute with the givens.

30= 8(8) + 4y.

Multiply parentheses.

30 = 64 + 4y

Subtract.

30-64= -34

-34 = 4y.

Divide each side by 4.

y = - 8.5, or -17/2

hope that is right!

8 0
3 years ago
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