answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Setler [38]
2 years ago
4

A rectangular bird feeder costs $18.00. A cylindrical bird feeder costs $24.00. The expected cost to keep the rectangular bird f

eeder filled is $3.00 per week. The expected cost the keep the cylindrical bird feeder filled is $2.00 per week. The equation below models the break-even point. 18 + 3x = 24 + 2x What does x represent?
Mathematics
1 answer:
Rudik [331]2 years ago
4 0
<span>Simplifying 18 + 3x = 24 + 2x

Solving 18 + 3x = 24 + 2x

</span><span>Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right

</span><span>Add '-2x' to each side of the equation.
18 + 3x + -2x = 24 + 2x + -2x
</span>
<span>Combine like terms: 3x + -2x = 1x
18 + 1x = 24 + 2x + -2x
</span>
<span>Combine like terms: 2x + -2x = 0
18 + 1x = 24 + 0
18 + 1x = 24
</span>
<span>Add '-18' to each side of the equation.
18 + -18 + 1x = 24 + -18
</span>
<span>Combine like terms: 18 + -18 = 0
0 + 1x = 24 + -18
1x = 24 + -18
</span>
<span>Combine like terms: 24 + -18 = 6 1x = 6
</span>
<span>Divide each side by '1'.
x = 6

Simplifying x = 6

Hope I helped ;)
</span>
You might be interested in
Raya buys a van for £8500 plus VAT at 20%
asambeis [7]

They buy the van for £8,500 + VAT 20%:

Total paid for the van = £8,500 x 1.20 = £10,200

They make 12 payments of £531.25 for a total of:

12 x £531.25 = £6,375

To find the amount of deposit, subtract the total payments from total cost:

£10,200 - £6,375 = £3,825

The ratio of deposit to the payments is: 3825 : 6375

Reduce the answer by dividing both numbers by 75:

3825/75 = 51

6375 / 75 = 85

The ratio becomes: 51/85

6 0
2 years ago
A sports car and a minivan run out of gas and are pushed to the side of the road. Which is easier to push, and why?
nirvana33 [79]

Answer:

The sports car, because it has less mass and therefore less inertia

Step-by-step explanation:

When an object has less inertia it is easier to be put into and out of motion, and a sports car would obviously weigh less than a van.

5 0
2 years ago
Read 2 more answers
Sasha runs at a constant speed of 3.8 meters per second for 1/2 hour.Then she walks at a constant rate of 1.5 meters per second
Arisa [49]

Answer:

Step-by-step explanation:

Distance covered = speed × time.

Sasha runs at a constant speed of 3.8 meters per second for 1/2 hour.

This means distance covered while running would be

3.8 × 1/2 = 1.9 meters

Then she walks at a constant rate of 1.5 meters per second for 1/2 hour. This means distance covered while walking would be

1.5 × 1/2 = 0.75 meters

Total distance that Sasha covered while running and walking in 60 minutes would be

1.9 + 0.75 = 2.65 meters

3 0
2 years ago
Solve for x if 2(5x+2)^2=48
likoan [24]
2(5x + 2)^2 = 48
divide both sides by 2
(5x + 2)^2 = 24
square root both sides to clear the power of two.
5x + 2 = + - sqrt24
subtract 2 from both sides
5x = -2 + - sqrt 24
divide both sides by 5
x = (-2 +-sqrt24)/5 or decimal answers .58 and -1.38
7 0
2 years ago
Read 2 more answers
The ratios in an equivalent ratio table are 3:12, 4:16, and 5:20. If the first number in theratio is 10, what is the Second numb
Zanzabum

Answer:

10:40

Step-by-step explanation:

As the left number increases by 1, the right number increases by 4. So as you can see, the left numbers go 3-4-5 while the right numbers go 12-16-20. So the answer is 10:40 because 10x4=40.

6 0
2 years ago
Read 2 more answers
Other questions:
  • Arthur earned $136 in three weeks. he goes back to school in one more week. he needs at least $189 to buy the new coat that he w
    5·2 answers
  • An office worker can type at the rate of 57 words per minute. Which equation could be used to solve for the number of words he c
    5·2 answers
  • which expression shows the value of a rare postage stamp, originally purchased for $5000, that has been increasing in value by 1
    5·1 answer
  • Figure GHTA below is a parallelogram. = 6 cm, = 8 cm, and the measure of = 60°. Find the area.
    10·2 answers
  • Consider the point. (2, 4, 5) What is the projection of the point on the xy-plane? (x, y, z) = What is the projection of the poi
    7·1 answer
  • A pure acid measuring x liters is added to 300 liters of a 20% acidic solution. The concentration of acid, f(x), in the new subs
    12·2 answers
  • Mopeds (small motorcycles with an engine capacity below 50 cm3) are very popular in Europe because of their mobility, ease of op
    8·1 answer
  • Gabriel determined that his total cost would be represented by 2.5x + 2y – 2. His sister states that the expression should be x
    15·1 answer
  • Harry predicts that if he can cycle 5 miles in 1 hour, he can travel 20 miles in 4 hours. What do you think might be a problem w
    14·1 answer
  • at what x coordinate would a line whose equation is y=2x-3 intersect a perpendicular line whose y intercept is 17​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!