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Alexeev081 [22]
3 years ago
10

Write the following equation in slope-intercept form: 4x – 5y = 15.

Mathematics
1 answer:
mylen [45]3 years ago
8 0

Answer:

y = (4/5)x - 3

Step-by-step explanation:

slope intercept form: y = mx + b

Note the equal sign, what you do to one side, you do to the other. First, subtract 4x from both sides:

4x - 5y = 15

4x (-4x) - 5y = 15 (-4x)

-5y = -4x + 15

Next, divide -5 from both sides:

(-5y)/-5 = (-4x + 15)/-5

y = (-4x + 15)/-5

Simplify Divide -5 from all terms within the parenthesis:

y = (4/5)x - 3

y = (4/5)x - 3 is your answer.

~

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Help with volume all help is appreciated :)
Lina20 [59]

Answer:

It would be 0.41 ft^3

Step-by-step explanation:

Alright, to start, lets get the volume of the entire cinder block and the holes within it.

1.31 * 0.66 * 0.66 ---> 0.5706...

Next with the holes, they are both 0.33 wide, 0.39 long, and just as tall at 0.66 feet.

0.33 * 0.39 * 0.66 ---> 0.0849...

Since there's two of them: 0.1698...

To finish it, subtract the hole volume from the total volume;

0.5806 - 0.1698 = 0.4108

Rounds to <u>0.41 ft</u>^3

3 0
3 years ago
The point P(18, 24) is on the terminal side of θ. Evaluate sin θ.
serious [3.7K]
<span>sin θ = opposite/hypotenuse
P(18,24) lies in the first quadrant as both are positive.
x=18
y=24
Hypotenuse  = sqrt (18^2 + 24^2)
</span><span>Hypotenuse = 30
</span><span>sin θ = 24/30
</span><span>sin θ = 4/5
</span>θ = sin^-1 (4/5) 
<span>θ = 53.13 degrees</span>
7 0
3 years ago
Read 2 more answers
125% of what number is 25
Mazyrski [523]
We can create a equation to find out.

since we are finding a number where when multiplied by 1.25(this is the decimal form of the percentage) gives us 25, we know that the number we are finding is less than 25. here is the equation.

1.25(x)=25

divide both sides by 1.25 to get "x" alone.

x= 20
5 0
3 years ago
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The Smith Family is designing new plans for an in ground pool. Mr. Smith draws a rectangular shape with a length that is 5 feet
kumpel [21]

To solve this problem you must apply the proccedure shown below:

1- The formula for calculate the area of this rectangle is:

A=LH

Where L is the length and H is the heigth.

2. Let's call identify the heigth with the variable x.

3. If the length is 5ft longer than the heigth, you have:

L=x+5

4. Therefore, you can write the following polynomial expression:

A(x)=x(x+5)\\ A(x)=x^{2} +5x

5. If you know the value of the heigth, you can susbstitute it into the polynomial expression shown above and you will obtain the area.

Therefore, the answer is: A(x)=x^{2} +5x

5 0
3 years ago
The number of students in the fourth six grade classes and North Side school are 26 1934 and 20 more properties to find the tota
sladkih [1.3K]

Basically there are 3 addition properties and they are associative property, identity property, and commutative property.

Commutative property is just changing the order of the addends. Example: 26+19+34+21= 21+34+19+26

Identity Property is just adding a 0 to the number that doesnt change anything. Example: 26+19+34+21 +0 = 100

Associative property is just changing the grouping of the addends. Example: (26+19) + (34+21)


I know these properties may be complicated i know inhate them too haha but i hope i helped :) if you want you can search up the distributive property too but its with multiplication and addition combined and its harder but i think these are the 3 main properties.

Hope this helps!

3 0
2 years ago
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