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DanielleElmas [232]

4 years ago

13

At a zoo, 3 pandas eat a total of 181 1/2 pounds of bamboo shoots each day. The male panda eats 3 times as much as the baby. The

female eats twice as much as the baby. How many pounds of bamboo shoots does the female panda eat?

1 answer:

qaws [65]4 years ago

7 0

3b+2b+b=181.5
6b=181.5
6b/6=181.5/6
b=30.25

The baby panda eats 30.5 pounds and since the female panda eats two times that you multiply it by two.

30.25 x 2 = 60.5

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One tablespoon of ground cinnamon costs $0.36. How much does one teaspoon cost?

Bas_tet [7]

Answer:

$0.12

Step-by-step explanation:

There are 3 teaspoons in a tablespoon, so our price will be divided by 3 because of the quantity of ground cinnamon it would cost for a teaspoon and 0.36/3=0.12

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3 years ago

Find the volume of a cylinder with diameter 8 inches and height 9 1/2 inches

marta [7]

Answer:

$V=152\pi in^{2}$ in terms or pi

$V=477.52in^{2}$ simplified

Step-by-step explanation:

To solve this, we are using the Cylinder's volume formula:

$V=\pi r^{2} h$

where

$V$ is the volume of the cylinder

$r$ is the radius of the cylinder

Remember that radius is half the diameter, so we can divide the diameter of our cylinder by 2 to find its radius: $r=\frac{d}{2} =\frac{8in}{2} =4in$ . Now, 9 1/2 inches is 9 and a half inches, so $h=9.5in$ .

Replacing values:

$V=\pi (4in)^{2} (9.5in)$

$V=\pi (16in^{2})(9.5in)$

$V=152\pi in^{2}$

$V=477.52in^{2}$

We can conclude that the volume of our cylinder is $V=152\pi in^{2}$ in terms of pi, or $V=477.52in^{2}$ simplified.

4 0

3 years ago

Read 2 more answers

Nathan opens a new savings account and makes an initial deposit of $400.

AfilCa [17]

Answer:

The answer to the first one is 6

Step-by-step explanation:

If the time frame given is 9 months, then we can find that 9 months is 3/4 of a year. 3/4 x 2% = 0.015. 0.015 x 400 = 6. He would have made 6 dollars in 9 months.

Answer the the second one:

4.5% x 5 (years) = 0.225. 0.225 x 10,000 = 2,250. Since this is a car loan and not a bank interest for example, we add it to the total cost. I'm pretty sure its the third one.

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3 years ago

If f(x) = x2 + 1 and g(x) = x – 4, which value is equivalent to (f circle g) (10)?

mariarad [96]

Answer:

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Step-by-step explanation:lol

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3 years ago

NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!! THIS IS NOT A TEST OR AN ASSESSMENT!! Please help me with these math questions

Art [367]

Answer:

See below

Step-by-step explanation:

3. What are two ways that a vector can be represented?

Considering a vector $\vec{v}$ in some vector space $\mathbb R^n$ we have

$\vec{v} = \langle a,b\rangle$

This is the component form. I don't like that way. It is probably used in high school, but

$\vec{v} = \begin{pmatrix} a\\ b\\ \end{pmatrix}$

is preferable because the inner product on $\mathbb R^n$ is defined to be

$\langle a,b\rangle := \sum_{i = 1}^n a_i b_i$

You can also write it using linear form such as $\vec{v} = 2i+2j$

4.

For this question, I think you meant

vectors

$\vec{u_1} = (-8, 12)$

$\vec{u_2} = (13, 15)$

Once

$\cos(\theta)=\dfrac{\vec{u_1} \cdot\vec{u_2}}{||\vec{u_1}||||\vec{u_2}||}$

Considering that the dot product is

$\vec{u_1}\cdot \vec{u_2} = (-8)\cdot 13 + 12\cdot 15 = -104+180= 76$

and the norm of $\vec{u_1}$ is $||\vec{u_1}|| = \sqrt{(-8)^2 + 12^2} = \sqrt{64 + 144}= \sqrt{208}$

and the norm of $\vec{u_2}$ is $||\vec{u_2}|| = \sqrt{13^2 + 15^2} = \sqrt{169 + 225}= \sqrt{394}$

Thus,

$\cos(\theta)=\dfrac{76}{\sqrt{208} \sqrt{394}} = \dfrac{19}{\sqrt{13}\sqrt{394}}=\dfrac{19}{\sqrt{5122}}$

$\therefore \theta = \arccos \left(\dfrac{19}{\sqrt{5122}} \right)$

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3 years ago