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suter [353]
3 years ago
10

A total of 479 tickets were sold for the school play. They were either adult tickets or student tickets. There were 71 fewer stu

dent tickets sold than adult tickets. How many adult tickets were sold?
Mathematics
1 answer:
irina [24]3 years ago
8 0

Say the number of adult tickets is x. That means the number of student tickets is 71 less, making it x - 71.

We can add the number of student and adult tickets, because we know their sum is 479.

x + x - 71 = 479

Now, we solve for x.

2x - 71 = 479

2x = 550

x = 275

So, there were 275 adult tickets sold.

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Step-by-step explanation:

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ivanzaharov [21]

Answer:

b = 55 degrees

Step-by-step explanation:

The angles 30, a, b and 45 must sum up to 180 degrees

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3 years ago
If (3,2) is a point on the line whose equation is y = 3x + k, ,<br> determine the value of k.
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2 years ago
Which is the completely factored form of 12x3 – 60x2 + 4x – 20?
Natalija [7]

Answer:

4(x-5)(3{x}^{2}+1)

Step-by-step explanation:

1) Find the Greatest Common Factor (GCF).

1 - What is the largest number that divides evenly into 12x^3,-60x^2,4x, and -20 ?

It is 4.

2 - What is the highest degree of x that divides evenly into 12x^3,-60x^2,4x, and -20 ?

It is 1, since x is not in every term.

3 - Multiplying the results above,

The GCF is 4.

2)  Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

4(\frac{12{x}^{3}}{4}+\frac{-60{x}^{2}}{4}+\frac{4x}{4}-\frac{20}{4})

3) Simplify each term in parentheses.

4(3{x}^{3}-15{x}^{2}+x-5)

4) Factor out common terms in the first two terms, then in the last two terms.

4(3{x}^{2}(x-5)+(x-5))

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1 year ago
7. Given the following information, calculate, in order, the amount credited and the outstanding balance.
svp [43]

Answer:

C. $824.74, $175.26

Step-by-step explanation:

1) Amount Credited

The formula to calculate the amount credited =

Amount paid ÷ ( 100% - Discount)

Discount is given in the question as 3/10

Where 3 = Discount rate

Amount paid = $800

Amount credited = 800/( 100% - 3%)

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= 800/ 0.97

= $824.74

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Outstanding balance = $1000 - $824.74

= $175.26

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3 years ago
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