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sergeinik [125]
3 years ago
8

Neil has 3 partially full cans of white paint. They cantain 1/3 gallon, 1/5 gallon, and 1/2 gallon of paint. About how much pain

t does Neil have in all?
Mathematics
1 answer:
Marianna [84]3 years ago
6 0

Answer:

1  1/30 gallons, or 31/30 gallons of paint

Step-by-step explanation:

Before these fractions can be added together they have to have a common denominator.  The Least Common Multiple of 2, 3, and 5 is 30, so

1/3 = 10/30   1/5 = 6/30   1/2 = 15/30

10/30 + 6/30 + 15/30 = 31/30, or 1  1/30

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Solve each equation using the quadratic formula. Find the exact solution, then approximate the solution to the nearest hundredth
Anika [276]

Answer:

x_1=\frac{5+\sqrt{33}}{4}≈2.69

x_2=\frac{5-\sqrt{33}}{4}≈-0.19



Step-by-step explanation:

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

1. You have that the quadratic formula is:

x=\frac{-b+/-\sqrt{b^{2}-4ac}}{2a}

2. To solve the quadratic equation you must substitute the values. So, you have that:

Rewrite the equation:

2x^{2}-5x-1=0

a=2\\b=-5\\c=-1

Then you have:

 x=\frac{-(-5)+/-\sqrt{(-5)^{2}-4(2)(-1)}}{2(2)}

3. Therefore, you obtain the following result:

x_1=\frac{5+\sqrt{33}}{4}≈2.69

x_2=\frac{5-\sqrt{33}}{4}≈-0.19


4 0
2 years ago
Read 2 more answers
Mr lance designed a class banner shaped like a the polygon shown. What is the name of the polygon?
Scorpion4ik [409]

Answer:

hexagon

Step-by-step explanation:

i g

7 0
2 years ago
Please help! determine the measure of the missing angles. show your work.
IrinaVladis [17]

Top triangle: if the know angle measures are 90 and 55 and there are a total of 180, 90 + 55 + a = 180. This means that angle a = 35°

Bottom triangle: if a is 35, the angle connected to it is 35 because they are vertical angles. The angles of this triangle are 35 + 120 + b = 180. Angle b = 25°

5 0
3 years ago
Find an equation for the line that passes through the points (-2,-6) and (6,-4)
JulsSmile [24]
Slope of line
m= (y2-y1)/(x2-x1)
=(-4--6)/(6--2)
=2/8
=1/4

Line in two point form
(y-y1)=m(x-x1)
y--2=(1/4)(x-6)
y+2=(1/4)(x-6)
simplify
4(y+2)=x-6 =>
x-4y-14=0
Alternatively, use the slope intercept form:
y--2=(1/4)(x-6) =>
y=(1/4)x - 3/2-2 =>
y=(1/4)x -7/2

6 0
3 years ago
Find the product of 2/5 with the quotient of 7/3 and 4/5
marissa [1.9K]

Answer:

7/6

Step-by-step explanation:

7/3÷4/5

7/3×5/4

35/12

Now the multiplication

2/5×35/12

70/60

7/6

6 0
2 years ago
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