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Serjik [45]
3 years ago
11

Given y=15x+4, write the equation of the line perpendicular to the given line that contains point (-2, 3). (10 points)

Mathematics
1 answer:
Sati [7]3 years ago
6 0

Answer:

y= -1/15x + 43/15

x + 15y = 43

Step-by-step explanation:

See attachment.

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During one month, a homeowner used 500 units of electricity and 100 units of gas for a total cost of $333. The next month, 400 u
Mice21 [21]

Answer: the cost per unit of gas is $0.28

Step-by-step explanation:

Let x represent the cost per unit of electricity.

Let y represent the cost per unit of gas.

During one month, a homeowner used 500 units of electricity and 100 units of gas for a total cost of $333. This is expressed as

500x + 100y = 333 - - - -- - -- - -- -1

The next month, 400 units of electricity and 150 units of gas were used for a total cost of $286. This is expressed as

400x + 150y = 286 - - - - - - - - - --2

Multiplying equation 1 by 400 and equation 2 by 500, it becomes

200000x + 40000y = 133200

200000x + 75000y = 143000

Subtracting, it becomes

- 35000y = - 9800

y = - 9800/- 35000

y = 0.28

Substituting y = 0.28 into equation 2, it becomes

400x + 150 × 0.28 = 286

400x = 286 - 42 = 244

x = 244/400 = 0.61

7 0
3 years ago
6. Challenge Problem: One owl hoots every 3 hours, a second owl hoots every 8 hours, and
ANTONII [103]

Answer:

3 times

Step-by-step explanation:

The lowest common multiple of 3, 8, and 12 is 24.

Therefore they all hoot together at the 24th hour, 48th(24×2) hour, 72nd(24×3)hour. making 3 times before the 80th hour

7 0
3 years ago
Use the following information to answer Part A Part B
vekshin1

Answer:

can some one please answer it please

Step-by-step explanation:

8 0
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5. A study of a population of 1,200 frogs revealed that 12 out of every 180 frogs in the population
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Answer:

1,280

Step-by-step explanation:

prob(spots) = 12/180 = 1/15

so of the 1200 frogs, (1/15)(1200) should have spots, so ..

how many should not have frogs ?

or

prob(not spots) = 14/15

number who don't have spots = (14/15)(1200) = 1,280

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3 years ago
I NEED HELP ASAP <br> Find The Value of X
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30

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