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andreyandreev [35.5K]
2 years ago
15

Amira sells balloon animals. She uses the same number of balloons for each animal she makes. The table compares the number of ba

lloon animals sold and the remaining number of balloons on a certain day.
Animals Balloons
15 200
24 164
33 128

How many balloons does Amira use for each balloon animal?
Mathematics
2 answers:
Vanyuwa [196]2 years ago
6 0

Answer:

65

Step-by-step explanation:

Khan Academy

Vikki [24]2 years ago
5 0

Answer:

4 balloons for each balloon animal.

Step-by-step explanation:

Amira sells balloon animals. The given table compares the number of balloon animals sold and the remaining number of balloons on a certain day.

Animals        Balloons

15                   200

24                   164

33                   128

When she sold 15 animals the leftover balloons were 200.

then she sold 24 animals the number of leftover balloons were 164.

The difference of the number of items = 24 - 15 = 9 more animals sold

The difference of the leftover balloons = 200 - 164 = 36 balloons used

Now the number of her sold animals was = 33

and the left over balloons = 128

The number of sale was increased by 24 to 33 = 33 - 24 = 9 more animals

and the leftover balloons now 164 to 128 = 164 - 128 = 36 used

Therefore, we can see each sale of 9 balloon animals she used 36 balloons.

so Amira used for each balloon animal = \frac{36}{9}

                                                                = 4 balloons.

Amira used 4 balloons for each balloon animal.

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Jude says that the volume of a square pyramid with base edges of 7 in and a height of 7 in is equal to the volume of a cylinder
irakobra [83]

Answer:

Jude is not correct

Step-by-step explanation:

The volume of a square pyramid is given as:

V = a^2\frac{h}{3}

where a = base edge and h = height

Hence, the volume of the square pyramid with base edge of 7 in and height  of 7 in is:

V = 7^2*\frac{7}{3}

V = 114.3 in^3 ≅ 114 in^3

The volume of a cylinder is given as:

V = \pi r^2h

where r = radius and h = height

Hence, the volume of a cylinder with radius of 7 in and height of 7 in is:

V = \pi *7^2*7

V = 1077.57 in^3 ≅ 1078 in^3

Since their volumes are not equal, Jude is not correct.

8 0
2 years ago
A man is in a boat that is floating 175 feet from the base of a 200 foot cliff. What is the angle of depression between the clif
LUCKY_DIMON [66]

Answer:

The of depression between the cliff and the boat is 48.74 degrees.

Step-by-step explanation:

We have,

Height of the cliff is 200 foot

Distance of boat from the cliff is 175 feet

It is required to find the angle of depression between the cliff and the boat.

Here, 200 foot is perpendicular distance and 175 is base.

Using trigonometry :

\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{200}{175}\\\\\theta=\tan^{-1}(1.14)\\\\\theta=48.74^{\circ}

So, the of depression between the cliff and the boat is 48.74 degrees.

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zheka24 [161]

Answer:

Linearly, because the table shows that the sunflowers increased by the same amount each month

Step-by-step explanation:

Given the table

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Note that months change one-by-one (21-1, 3-2=1, 4-3=1).

Also

17.2-15=2.2\ [\text{from month 1 to month 2}]\\ \\19.4-17.2=2.2\ [\text{from month 2 to month 3}]\\ \\21.6-19.4=2.2\ [\text{from month 3 to month 4}]

This means the number of sunflowers increases linearly, because the table shows that the sunflowers increased by the same amount each month

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Answer:

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Step-by-step explanation:

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