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Gwar [14]
3 years ago
13

A container has 360 gallons ; daniel took 1/3 of water to give to the animals in the ranch; how many gallons of water are left?

I NEED IT TO BE EXPLAINED AND I WILL MAKE YOU THE BRAINLIEST
Mathematics
1 answer:
Mrrafil [7]3 years ago
8 0

Answer: 240 gallons

Step-by-step explanation:

From the question, we are informed that the container has 360 gallons and that Daniel took 1/3 of water to give to the animals in the ranch. Therefore, the amount of water that Daniel took will be:

= 1/3 × 360

= 120 gallons

Since we have 360 gallons at the beginning and Daniel has taken 120 gallons, the amount of gallons that'll be left will be:

= 360 - 120

= 240 gallons

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What is an equation of the line that passes through the point (8,-5) and is parallel
HACTEHA [7]

Answer:

y=-5/4x+5

Step-by-step explanation:

Hi there!

We're given the line 5x+4y=24 and we want to find the line parallel to it that passes through (8,-5)

Parallel lines have the same slopes

First, we need to find the slope of 5x+4y=24.

We'll do that by converting 5x+4y=24 from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b where m is the slope and b is the y intercept)

subtract 5x from both sides

4y=-5x+24

divide by 4 on both sides

y=-5/4x+6

since -5/4 is in the place where m should be, it is the slope.

So the equation of the line parallel to it will also have -5/4 as the slope

Here's the equation so far in slope-intercept form:

y=-5/4x+b

we need to find b

because the equation will pass through (8,-5), we can use it to solve for b

substitute 8 as x and -5 as y

-5=-5/4(8)+b

multiply

-5=-10+b

add 10 to both sides

5=b

substitute 5 as b into the equation

<u>y=-5/4x+5</u>

That's the equation of the line parallel to 5x+4y=24.

Hope this helps!

6 0
3 years ago
HELP!!!<br> Find the circumference. Don't forget to label your answer.
bija089 [108]
<h2><u>CIRCUMFERENCE</u></h2>

<h3>Possible Question:</h3>

» The diameter of a circle is 11 in. What is the circle's circumference?

<h3>Answer:</h3>
  • \blue{\bold{34.54 \: \:in}}

— — — — — — — — — —

<h3>Step-by-step explanation:</h3>

To find the circumference, use pi (π), a mathematical constant. Its value is approximately equal to 3.14.

— Multiply the diameter with π in order to get the circumference of a Circle.

  • \sf \: given  :  \underline{ \tt \: d = 11 \:  in \: } \\  \\ \tt \: \: C = π × d \tt \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14×11 \: in  \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \underline{ \boxed{ \purple{ \bold{ 34.54\:in}}}}

Therefore, the circumference of the circle is 34.54 inches.

_______________∞_______________

4 0
2 years ago
Suppose that prices of recently sold homes in one neighborhood have a mean of $265,000 with a standard deviation of $9300. Using
Hatshy [7]

Answer:

Range  = (237100, 292900)

Step-by-step explanation:

Using Chebyshevs Inequality:

P(|X - \mu | \le k \sigma )\ge 1  -\dfrac{1}{k^2}= 0.889

1  -\dfrac{1}{k^2}= 0.889

\dfrac{1}{k^2}= 1- 0.889

\dfrac{1}{k^2}=0.111

k = \sqrt{\dfrac{1}{0.111}}

k \simeq 3

Thus, 88.9% of the population is within 3 standard deviation of the mean with the Range = μ  ±  kσ

where;

μ = 265000

σ = 9300

Range = 265000  ±  3(9300)

Range = 265000  ± 27900

Range =   (265000 - 27900, 265000 + 27900)

Range  = (237100, 292900)

3 0
2 years ago
Using Cramer’s Rule, what is the value of x in the system of linear equations below? x+3y=16 3x+y=8
alexdok [17]
Cramer's rule works as follows:
x+3y=16
3x+y=8
Then 
x=Dx/D
y=Dy/D
where Dx,Dy,D are 2x2 matrices formed from of coefficients and right hand side.
D=
1 3
3 1
=1-9=-8
Dx=matrix D with first column replaced by the vector [16,8]=
16,3
8 1
=16-24
=-8

Dy=matrix D with second column replaced by the vector [16,8]=
1 16
3 8
=8-48
=-40

Therefore
x=-8/-8=1
y=--40/-8=5

Check:
x+3y=1+3(5)=16
3x+y=3(1)+5=8   ok.
4 0
2 years ago
Write the equation of the line (please answer will mark brainlist)
Ket [755]
Y = -5/3x + 5
To find slope, rise/run
But since the graph is going down, the slope must be negative
3 0
2 years ago
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