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4 years ago

How many 0.45-ounce packages of cinnamon can be made with 3.15 ounces of cinnamon?

Mathematics

2 answers:

Svetradugi [14.3K]4 years ago

6 0

Answer

7

Step by step explanation

Ghella [55]4 years ago

5 0

Answer:

7 packages of cinnamon

Step-by-step explanation:

3.15/0.45 = 7

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3 years ago

What points are solutions for the system of equations?

siniylev [52]

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4 years ago

The distance between X and Y is 6 1/2 units. Which number could represent the point Y?

tiny-mole [99]

Answer:

$\huge\boxed{\sf 3.5}$

Step-by-step explanation:

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$\rule[225]{225}{2}$

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6 0

3 years ago

Read 2 more answers

Choose the best coordinate system to find the volume of the portion of the solid sphere rho <_4 that lies between the cones φ

MrRissso [65]

Answer:

So, the volume is:

$\boxed{V=\frac{128\sqrt{2}\pi}{3}}$

Step-by-step explanation:

We get the limits of integration:

$R=\left\lbrace(\rho, \varphi, \theta):\, 0\leq \rho \leq 4,\, \frac{\pi}{4}\leq \varphi\leq \frac{3\pi}{4},\, 0\leq \theta \leq 2\pi\right\rbrace$

We use the spherical coordinates and we calculate a triple integral:

$V=\int_0^{2\pi}\int_{\frac{\pi}{4}}^{\frac{3\pi}{4}}\int_0^4 \rho^2 \sin \varphi \, d\rho\, d\varphi\, d\theta\\\\V=\int_0^{2\pi}\int_{\frac{\pi}{4}}^{\frac{3\pi}{4}} \sin \varphi \left[\frac{\rho^3}{3}\right]_0^4\, d\varphi\, d\theta\\\\V=\int_0^{2\pi}\int_{\frac{\pi}{4}}^{\frac{3\pi}{4}} \sin \varphi \cdot \frac{64}{3} \, d\varphi\, d\theta\\\\V=\frac{64}{3} \int_0^{2\pi} [-\cos \varphi]_{\frac{\pi}{4}}^{\frac{3\pi}{4}} \, d\theta\\\\V=\frac{64}{3} \int_0^{2\pi} \sqrt{2} \, d\theta\\\\$

we get:

$V=\frac{64}{3} \int_0^{2\pi} \sqrt{2} \, d\theta\\\\V=\frac{64\sqrt{2}}{3}\cdot[\theta]_0^{2\pi}\\\\V=\frac{128\sqrt{2}\pi}{3}$

So, the volume is:

$\boxed{V=\frac{128\sqrt{2}\pi}{3}}$

4 0

3 years ago

jose has a board that is 15 ft long he wants to cut it into 3/4 ft long how many pieces will he have ?

IrinaK [193]

Answer: 20

Step-by-step explanation: the equation would be 15 / 3/4, or 15/1 / 3/4 (the / meaning divide). You would divide it by multiplying the reciprocal of 3/4 (4/3) and 15(/1) , which you would get 20.

7 0

3 years ago

How many 0.45-ounce packages of cinnamon can be made with 3.15 ounces of cinnamon?​

How many 0.45-ounce packages of cinnamon can be made with 3.15 ounces of cinnamon?