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melamori03 [73]
2 years ago
9

The vet feeds the animals 6 cups of food. How many dishes will she use if she gives each pet 1/4 cup of food

Mathematics
1 answer:
nekit [7.7K]2 years ago
8 0

Answer:

24 dishes

Step-by-step explanation:

1cup- 4dishes

6cups =6*4=24 dishes

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A parcel delivery service will deliver a package only if the length plus girth​ (distance around) does not exceed 84 inches. ​(A
Kisachek [45]

Answer:

A. 14x14x28

B. The maximum volume is 5488 cuibic inches

Step-by-step explanation:

The problem states that the box has square ends, so you can express volume with:

v=x^{2} y

Using the restriction stated in the problem to get another equation you can substitute in the one above:

4x+y=84\\\\

Substituting <em>y</em> whit this equation gives:

v=x^{2} (84-4x)\\\\v=84x^{2} -4x^{3}

Now find the limit of <em>x</em>:

\frac{84x^{2}-4x^{3}}{dx}=168x-12x^{2}\\\\x=\frac{168}{12}=14

Find the length:

y=84-4(14)=28

You can now calculate the maximum volume:

v=(14)^{2}(28)= 5488

6 0
3 years ago
Charlie watched 1 3 of a movie in the morning, and he watched some more at night. By the end of the day, he still had 2 5 of the
Finger [1]

Answer: 4/15 of the movie

Step-by-step explanation:

In the morning, Charlie watched ¹/₃ of a movie. He then watched some more at night.

At the end of the day, he still had ²/₅ of the movie to watch.

The proportions of an item must always add up to one. This means that if you added the 1/3 to the 2/5 and then to the fraction Charlie watch at night, they should add up to one.

¹/₃ + ²/₅ + x = 1

x = 1 - ¹/₃ - ²/₅

x = \frac{15 - 5 - 6 }{15} \\\\x = \frac{4}{15}

3 0
3 years ago
In a video game, a bird is flung on a sling shot and follows a parabolic path. The path of the bird can be modeled by the equati
umka21 [38]

9514 1404 393

Answer:

  3.61 seconds

Step-by-step explanation:

The bird starts 50 feet in the air, so will come down to a height of 40 feet after 3.61 seconds.

We want to solve h = 40.

  40 = -16t^2 +55t +50

  16t^2 -55t -10 = 0

  t = (55 +√(55^2 -4(16)(-10)))/(2(16)) = (55 + √3665)/32 ≈ 3.61060

The bird will be 40 ft above the ground the first time after about 3.61 seconds.

8 0
3 years ago
The current average property value is two-sevenths more than last year’s average value. What was last year’s average property va
Ilya [14]

Answer:

63350

Step-by-step explanation:

Given that the current average property value is two-sevenths more than last year’s average value.

Let x be the last year's average property

Then we have as per the given information this year property value

=x+\frac{2}{7} x

Equate this to

x+\frac{2}{7} x=81450\\9x = 7(81450)\\x = 7(9050)\\x= 63350

6 0
3 years ago
12x - 5 = 8x - x + 50<br> Help please show work and check the solution
Inga [223]

Answer:

x = 11

Step-by-step explanation:

12x - 5 = 8x - x + 50 \\ 12x - 5 = 7x + 50 \\ 12x - 5 - 7x = 7x + 50 - 7x \\ 12x - 7x - 5 = 50  \\ 5x - 5 = 50 \\ 5x - 5 + 5 = 50 + 5 \\ 5x = 55 \\ x = 11

and check:

12(11) - 5 = 8(11) - (11) + 50 \\ 132 - 5 = 77 + 50 \\ 127 = 127

3 0
3 years ago
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