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Lapatulllka [165]
3 years ago
5

The weight y of an object on Jupiter is proportional to the weight x of the object on Earth. An object that weighs 150 pounds on

Earth would weigh 379.2 pounds on Jupiter. Write an equation that represents the situation using the formula y=
Mathematics
1 answer:
tino4ka555 [31]3 years ago
7 0
Y=2.528x
Equation....
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A packing box has the dimensions 3 by 2 by 5 1/2 feet. What is the volume of the box?
dem82 [27]
As already mentioned, the volume for a rectangular prism, namely a box in this case, is just the product of its dimensions, length * width * height.

\bf \textit{volume of a rectangular prism}\\\\
V=LWH\quad 
\begin{cases}
L=length\\
W=width\\
H=height\\
------\\
L=3\\
W=2\\
H=5\frac{1}{2}
\end{cases}\implies V=3\cdot 2\cdot 5\frac{1}{2}
\\\\\\
V=3\cdot 2\cdot \cfrac{5\cdot 2+1}{2}\implies V=6\cdot\cfrac{11}{2}\implies V=3\cdot \cfrac{11}{1}
\\\\\\
V=33

now, as far as another one... hmm is easier if you post in the channel, that way I can include any graphs if needed or tables and such.

so, what happens if you double up the dimensions?

\bf \textit{volume of a rectangular prism}\\\\
V=LWH\quad 
\begin{cases}
L=length\\
W=width\\
H=height\\
------\\
L=6\\
W=4\\
H=10
\end{cases}\implies V=6\cdot 4\cdot 10\implies V=240\\\\
-------------------------------\\\\
\begin{cases}
L=6(2)\\
W=4(2)\\
H=10(2)
\end{cases}\implies V=6(2)8(2)10(2)\implies V=(2)(2)(2)6\cdot 8\cdot 10
\\\\\\
V=(8)6\cdot 8\cdot 10\implies V=(8)\stackrel{original~volume}{240}

notice, how many times the new size is, is 8 times the original.
6 0
3 years ago
Megan has 62 rocks in her rock collection. She wants to put 2 rocks in some cases and 11 rocks in other cases. Select a possible
max2010maxim [7]

Answer:. B. Have 9 cases of 2 rocks, and 4 cases of 11 rocks

Step-by-step explanation:

Total rocks = 62

A. Have 4 cases of 2 rocks, and 9 cases of 11 rocks

(4 * 2) + (9 * 11) > 62 ( false)

B. Have 9 cases of 2 rocks, and 4 cases of 11 rocks

(9 * 2) + (4 * 11) = 18 + 44 = 62 rocks (true)

C. Have 9 cases of 2 rocks, and 1 case of 11 rocks

(9 * 2). + (1 * 11) < 62 ( false)

D. Have 1 case of 2 rocks, and 4 cases of 11 rocks.

(1 * 2) + (4 * 11) < 62

8 0
3 years ago
A can of soup weights 251 grams. How many cans<br> Would weigh about a kilograrn?
mart [117]

Answer:

0.251 kg

Step-by-step explanation:

To convert from grams to kilograms, we divide the # of grams by 1000, or move the decimal point to the right by 3.

  • 25.1
  • 2.51
  • 0.251

Therefore, the answer is 0.251 kg.

4 0
2 years ago
Read 2 more answers
I Need help on my sis homework pls
lozanna [386]

Answer:

B

Step-by-step explanation:

49 ÷ 7 = 7

0.49 ÷ 0.7 = 7

0.049 ÷ 0.07 = 7

(sorry it's not very thorough, hope it helps)

edit: omg I put 3 instead of 7. oops

3 0
3 years ago
How many distinct triangles can be formed for which m∠E = 64°, g = 9, and e = 10?<br> triangle(s)
Shalnov [3]

Using the law of sines, it is found that 1 triangle can be formed with the given conditions.

<h3>What is the law of sines?</h3>

Suppose we have a triangle in which:

  • The length of the side opposite to angle A is a.
  • The length of the side opposite to angle B is b.
  • The length of the side opposite to angle C is c.

The lengths and the sine of the angles are related as follows:

\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}

Hence, for this problem, we have that the relation is:

\frac{\sin{64^\circ}}{10} = \frac{\sin{G}}{9}

\sin{G} = 0.9\sin{64^\circ}

\sin{G} = 0.8089

G = \arcsin{0.8089}

G = 54º

A triangle can have one angle of 64º and another of 54º, hence 1 triangle can be formed with the given conditions.

More can be learned about the law of sines at brainly.com/question/25535771

#SPJ1

5 0
2 years ago
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