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german
3 years ago
9

What is the answer 4+3x = -2y

Mathematics
1 answer:
lilavasa [31]3 years ago
6 0
First add 2y to both sides
so 4 + 3x + 2y = 0
then subtract 4 from both sides
so 3x + 2y = -4
that is standard form
now subtract 3x from both sides
2y = 3x - 4
now divide by 2 on both sides
y = 1.5x - 2
This is solved for y and is slope intercept form
starting from original subtract 4 from both sides
so 3x = -2x -4
now divide by 3 on both sides
so x = -2/3x -4/3
this is solved for x
hope any of that is what you needed.
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Which fractions are equivalent to 4/6? Select all that apply.
kiruha [24]

Answer:

2/3

8/12

Step-by-step explanation:

You just divide each numerator 4 (5÷4) and each denominator by 6 (8÷6) and see if the numbers are the same.

5÷4=1.25

8÷6=1.33

They are not equivalent, so 5/8 is not correct

2÷4=0.5

3÷6=0.5

They are equivalent, so 2/3 is correct

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4 0
3 years ago
A storage tank will have a circular base of radius r and a height of r. The tank can be either cylindrical or hemispherical​ (ha
Neko [114]

Answer:

Volume: \frac{2}{3}\pi r^3

Ratio: \frac{2}{9}r

Step-by-step explanation:

First of all, we need to find the volume of the hemispherical tank.

The volume of a sphere is given by:

V=\frac{4}{3}\pi r^3

where

r is the radius of the sphere

V is the volume

Here, we have a hemispherical tank: a hemisphere is exactly a sphere cut in a half, so its volume is half that of the sphere:

V'=\frac{V}{2}=\frac{\frac{4}{3}\pi r^3}{2}=\frac{2}{3}\pi r^3

Now we want to find the ratio between the volume of the hemisphere and its surface area.

The surface area of a sphere is

A=4 \pi r^2

For a hemisphere, the area of the curved part of the surface is therefore half of this value, so 2\pi r^2. Moreover, we have to add the surface of the base, which is \pi r^2. So the total surface area of the hemispherical tank is

A'=2\pi r^2 + \pi r^2 = 3 \pi r^2

Therefore, the ratio betwen the volume and the surface area of the hemisphere is

\frac{V'}{A'}=\frac{\frac{2}{3}\pi r^3}{3\pi r^2}=\frac{2}{9}r

6 0
3 years ago
You want to make five-letter codes that use the letters A KE R. and Mwithout repeating any letter. What is the probability that
Crank

Answer:

0.05

Step-by-step explanation:

There are five letters to choose from. Since there is no repetition, you can choose one of 5 for the first letter, one of four for the second letter, etc. The total number of five-letter codes is

5 * 4 * 3 * 2 * 1 = 120

Now we need to find out the number of codes that start with M and end with E.

The first position is occupied by M. There is one single letter that can be placed there. The last position is occupied by E. There is a single letter that goes there. There are 3 letters left.

1 * 3 * 2 * 1 * 1 = 6

There are 6 codes that start with M and end with E

p(code that starts with M and ends with E) = 6/120 = 0.05

4 0
4 years ago
Read 2 more answers
The astronauts from apollo 17 completed 3 space walks while on the moon for a total duration of 22 hour 4 minutes how many minut
Vadim26 [7]

Answer:

The duration of each of the three spacewalk is between 364 minutes and 480 minutes with a total duration of 1324 minutes

Step-by-step explanation:

A spacewalk also termed an EVA or extravehicular activity, is defined as the general activity of an astronaut outside of a vehicle in space

Spacewalks can last up to 5 to 8 hours

Here we have a word problem, and are required to find the number of minutes equivalent to 22 hour and 4 minutes

Number of minutes per hour = 60 minutes

Number of minutes in 22 hours = 60 × 22 = 1320 minutes

Total number of minutes in 22 hours 4 minutes = 1320 + 4 = 1324 minutes.

Whereby the duration of a space walk is up to 5 to 8 hours gives;

22 hours 4 minutes - 8 hour - 8 hour -x = 0

Hence x = 6 hour 4 minutes

Therefore, the duration of each spacewalk is between 6 hour 4 minutes and 8 hours or in minutes we have

The duration of each spacewalk is between  (6 × 60 + 4) 364 minutes and 480 minutes.

7 0
3 years ago
JAYDEN HELP PLZ !!!!!!Select from the drop-down menu to correctly complete the statement about the given figures.
Anna11 [10]
They are similar. I don't remember what it is called but it is 100% ALWAYS true that the angles of a triangle must add up to 180 degrees. Always. If you have two angles, that are 60 degrees, the other must always be 60. again, always. So, They are similar by their angles.
8 0
3 years ago
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