Answer:D
Explanation:
Jim has a triangular shelf system that attaches to his shower head. The total height of the system is 18 inches, and there are three parallel shelves as shown above. What is the maximum height, in inches, of a shampoo bottle that can stand upright on the middle shelf?
Answer:
The answer is "9 inch".
Explanation:
Equation:
[tex]\to x+3x+2x=18 \ inch \\\\ \to 6x=18 \\\\ \to x= \frac{18}{6} \\\\ \to x=3 \ inch \\\\[/tex]
The highest amount of a bottle of shampoo that can stand upright on the central shelf:
[tex]=3x \\\\=3 \times 3 \\\\=9 \ inch[/tex]
A movie theater sells two types of tickets, adult tickets for $12 and child tickets for $8. If the
theater sold 30 tickets for a total of $300, how much was spent on Adult Tickets?
Answer:
The answer is $180.
Explanation:
Since we have two different ticket types, let's say that adult tickets represent x, and children tickets represent y. In this case, the total price would be 12x+8y that is equal to $300. We have total of 30 tickets, too. Well, then x+y should be equal to 30. Our equation system turns out to this:
12x+8y=300
x+y=30
Since we're finding the x, that is the adult tickets, we need to eliminate y by multiplying the second equation by -8. When you do that,
12x+8y=300
-8x-8y=-240
Now, you can add them.
Those y's will cancel out, and we'll be left with,
12x-8x=60
4x=60
x=15
So we found x. Let's think, the adult tickets price was $12 per. We can say that the adult tickets' price will be,
12x
In this case, 12.15 will be our answer.
It's $180.
Let's demonstrate that we found the right answer,
8y=120
y=15 too.
That assures the second equation that is 15+15=30.
The Amount spent on adult tickets in the movie theater from the given parameters is: $180
How to solve algebra word problems?Let's assume the number of adult tickets sold is A and the number of child tickets sold is C.
We are given that:
- The price of an adult ticket is $12, and as such the revenue from selling adult tickets would be 12A dollars.
- The price of a child ticket is $8, so the revenue from selling child tickets would be 8C dollars.
- The total number of tickets sold is 30, so A + C = 30.
The total revenue from selling all the tickets is $300.
We can create two equations to represent the above information:
Equation 1: 12A + 8C = 300 (total revenue equation)
Equation 2: A + C = 30 (total number of tickets equation)
Now, let's solve this system of equations to find the values of A and C:
First, we can solve Equation 2 for C:
C = 30 - A
Next, substitute this value of C into Equation 1:
12A + 8(30 - A) = 300
Now, simplify and solve for A:
12A + 240 - 8A = 300
4A = 300 - 240
4A = 60
A = 60 / 4
A = 15
So, 15 adult tickets were sold. To find out how much was spent on adult tickets, we multiply the number of adult tickets (15) by the price of an adult ticket ($12):
Amount spent on adult tickets = 15 * $12 = $180.
Therefore, $180 was spent on adult tickets.
Read more about Algebra Word problems at: https://brainly.com/question/21405634
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what is the mood of the poem the government driver
H2O + NaOH = NaCl + H2 Is this reaction possible?
Answer:
No
Explanation:
The oxygen atoms aren't in the products of the reaction.
Explain what might happen to tundra animals, such as polar bears, as earths climate warms.
Climate change and polar bears. Temperatures in the Arctic are rising at least twice as fast as the global average and sea ice cover is diminishing by nearly four per cent per decade. The loss of sea ice affects polar bears' ability to find food, studies show.
At night, you should use the
to make sure
that you are not "over-driving" your headlights.
Kuku Kuku Coco Coco Coco Coco is a
Answer:
Nation
Explanation:
Just because
Answer:
I am a girl and thats kind of rude!!
Explanation:
Over time Pangaea broke apart to form other continents.
Which group of modern day continents composed Laurasia?
North America, Europe, and most of Asia
Antarctica, South America, and Europe
Africa, South America, Antarctica, Australia, and the subcontinent of India
North America and South America
Answer:
North America, Europe, and most of Asia
Explanation:
North America, Europe, and most of Asia are the modern continents where we expect to find the species with laurasian distribution.
Answer:
A: North America, Europe, and most of Asia
Explanation:
I had the test aswell
If 3x−y=12, what is the value of 8x/2y
Explanation:
3x−y=12,
-y = 12 - 3x
y = 3x - 12
8x/ 2y = 4x / y
= 4x /(3x - 12)
Which of the following is a type of federal student aid?
A. Waivers
B. Scholarships
C. Work-study
D. Interest-rate debt
Answer: C work study
Explanation:
Work-Study: A federal work program through which undergraduates and graduate students at participating schools earn money to help pay for school.