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skad [1K]
3 years ago
12

Mary spent a total of $320.92 for a party. She spent $200.20 on food, plus an additional $30.18 for each hour of the party. How

long was the party? Write an equation first!
Mathematics
2 answers:
Vedmedyk [2.9K]3 years ago
6 0

Answer:

4.006627

Step-by-step explanation:

TEA [102]3 years ago
6 0
Equation: 320.92=200.20+30.18x
Total spent at party = food purchase + 30.18 per hour (x)

Subtract 200.20 from both sides.
120.72=30.18x

Divide both sides by 30.18x to get the x alone.
4=x

Because x represented how many hours you were at the party, the answer is 4 hours.
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Read 2 more answers
What is the measure of arc BC?<br> 130<br> 65<br> 32.5<br> 180
ale4655 [162]

Answer:

The measure of arc BC is 130° ⇒ 1st answer

Step-by-step explanation:

In a circle:

  • The measure of an arc is equal to the measure of the central angle subtended by it
  • The measure of an arc is equal to double the measure of the inscribed angle subtended by it
  • Central angles subtended by the same arc are equal in measures
  • Inscribed angles subtended by the same arc are equal in measures
  • The measure of central angle is double the measure of the inscribed angle which subtended by its arc

∵ Angle BDC is an inscribed angle

∵ It is subtended by the arc BC

- By using the 2nd fact above

∴ The measure of arc BC = 2 × the measure of ∠BDC

∵ The measure of angle BDC is 65 degree

∴ The measure of arc BC = 2 × 65°

∴ The measure of arc BC = 130°

The measure of arc BC is 130°

7 0
4 years ago
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