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Dominik [7]
4 years ago
7

To deliver mulch, lawn and gardens charge $30 per cubic yard of mulch plus a $30 delivery fee. Yard depot charges $25 per cubic

yard of mulch plus an extra $55 delivery fee. For how many cubic yards will the cost be the same? What will the cost be?
Mathematics
1 answer:
Natasha_Volkova [10]4 years ago
3 0
So lawn and gardens will be 55 for one square yard and yard depot will be 80.
lawn and gardens costs 5 more for each cubic yard
80- 55 to get the difference in costs
25 is the difference 
25/5 
5 extra yards will be needed 
proof:
lawn and garden = l
yard depot = y
l=30x +30
y=25x+55
30(5) +30
150+30
180

25(5) + 55 
125 + 55
180

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4 years ago
Factorize: 3x²+54x + 243​
Andrew [12]

Answer:

3(x + 9)(x + 9)

Step-by-step explanation:

  1. 3x^2 + 54x + 243
  2. 3(x^2 + 18x + 81)

a + b = 18

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8 0
2 years ago
Find the value of each variable. For the circle, the dot represents the center.
Musya8 [376]

Answer:

Part 1) The measure of angle d is 65°

Part 2) The measure of angle c is 89°

Part 3) The measure of arc a is 131°

Part 4) The measure of arc b is 47°

Step-by-step explanation:

we know that

In an inscribed quadrilateral, opposite angles are supplementary

step 1

Find the measure of angle d

∠d+115°=180°

∠d=180°-115°=65°

step 2

Find the measure of angle c

∠c+91°=180°

∠c=180°-91°=89°

step 3

Find the measure of arc a

we know that

The inscribed angle measures half that of the arc comprising

115°=(1/2)[99°+arc a]

230°=[99°+arc a]

arc a=230°-99°=131°

step 4

Find the measure of arc b

we know that

The inscribed angle measures half that of the arc comprising

∠c=(1/2)[arc a+arc b]

substitute the values

89°=(1/2)[131°+arc b]

178°=[131°+arc b]

arc b=178°-131°=47°

8 0
4 years ago
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