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kozerog [31]
3 years ago
14

I can buy 10 gallons of paint for $55. How many gallons can I get for $30?

Mathematics
2 answers:
s2008m [1.1K]3 years ago
8 0
You can get 5 gallons. Hope it helps

AysviL [449]3 years ago
4 0
First you need yo figure out how much each gallon of paints costs. so divide 55 by 10.  55/10=5.5. So each gallon costs $5.50. After that you divide 30 by 5.5 to get the amount of paint you can buy for $30.00.   30/5.5=5.45454545..round that to get 5) so you can buy 5 gallons of paint for $30


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Find the estimates of x^2-x-2=3
Julli [10]

Answer:

x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79

Step-by-step explanation:

Given

Quadratic equation is

x^2-x-2=3\\x^2-x-5=0

Roots of the quadratic equation ax^2+bx+c=0 are

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

So, for the given equation roots are

x=\frac{1\pm\sqrt{(-1)^2-4(1)(-5)}}{2\cdot 1}\\x=\frac{1\pm\sqrt{21}}{2}\\so, x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79

5 0
3 years ago
Abel and Cedric will share a total of $180. Abel will receive half as much as Cedric. What amount. in dollars, will Cedric recei
babymother [125]

Answer:

Abel receives $60, and Cedric receives $120

Step-by-step explanation:

Let Abel's share = A

Let Cedric's share = C

we are given the following

A + C = 180  - - - - - (1)   (Abel and Cedric will share a total of $180)

A = \frac{C}{2}\ - - - - - - - (2) (Abel will receive half as much as Cedric. )

from equation 2:

A = \frac{C}{2}\\ C = 2A\ - - - - - - (3)

putting this value of C in eqn (3) into eqn (1)

A + (2A) = 180

3A = 180

∴ A = 180 ÷ 3 = 60

to find C, let us replace the value of A in eqn (3) with 60

C = 2A - - - - (3)

C = 2 × 60

C = 120

Therefore, Abel receives $60, and Cedric receives $120

5 0
3 years ago
Which line has no slope?
zloy xaker [14]
A b is no slope and kL is undefined
5 0
4 years ago
The formula for any geometric sequence is a n = a 1 · r n - 1 , where a n represents the value of the nth term, a 1 represents t
AfilCa [17]

Answer:

Step-by-step explanation:instead, try making the subscripts and superscripts stand out:

                         n-1

a    =  a         * r

 n         n-1

Believe me, it's worth the extra work to do this!!

Given the sequence   -3, -6, -12, -24, you can easily see that the first term,

a         is    -3.  The common factor is 2.  Note how (-3)*2=-6, and so on.

  1

So, a       = -3 and r=2.

        1

So the formula for this geometric sequence is  

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8 0
3 years ago
Read 2 more answers
A farmer’s rectangular pen has an area of 2,700 square feet, and the width is 15 feet shorter than the length. Find the dimensio
svetoff [14.1K]

The length of the rectangle is 60 feet and the width of the rectangle is 45 feet.

<h3>What is the area of the rectangle?</h3>

Let L be the length and W be the width of the rectangle.

Then the area of the rectangle will be

Area of the rectangle = L×W square units

A farmer’s rectangular pen has an area of 2,700 square feet, and the width is 15 feet shorter than the length.

L = W + 15

Then we have

2700 = W(W + 15)

W² + 15W - 2700 = 0

W² + 60W - 45W - 2700 = 0

(W + 60)(W - 45) = 0

W = 45, -60

Then the dimension of the rectangle will be

W = 45 feet

L = W + 15

L = 45 + 15

L = 60 feet

More about the area of the rectangle link is given below.

brainly.com/question/20693059

#SPJ1

4 0
2 years ago
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