What is 270qt:105 gal in simplest form

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Answer 1
Answer:

Answer:

187 hope this helps!

Step-by-step explanation:


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Why are 1,4,9,16,and 25 sometimes are called perfect square please HELP ME!!!!!!

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They are all perfect squares because if you took the square root of them you will get a single number. Like the square root of 25 is 5 bc 5(5) is 25
16 is 4 bc 4(4) is 16
9 is 3 bc 3(3) is 9
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& so on & so forth

120 is what percent of 360 explain plz

Answers

120 = x percent of 360

120 = x * 360

120/360 = x

x = .33 repeating

x = 33.33% (repeating)
120 = 360x
x=120/360
x=⅓
convert to decimal
x=.33333333....
convert to percent
x=33.3333333...%

Widget Wonders produces widgets. They have found that the cost, c(x), of making x widgets is a quadratic function in terms of x.The company also discovered that it costs $29 to produce 2 widgets, $115 to produce 4 widgets, and $757 to produce 10 widgets.

How much does it cost to make 3 widgets?

Answers

Answer:

The total cost to make 3 widgets is $64.

Step-by-step explanation:

As cost is give by quadratic function such as c(x) = ax^2 + bx + d

As it costs $29 to produce 2 widgets. So,

c(2) = a(2)^2 + b(2) + d

29= 4a+2b+d ....[A]

As it costs $115 to produce 4 widgets. So,

c(4) = a(4)^2 + b(4) + d

115= 16a+4b+d ....[B]

As it costs $757 to produce 10 widgets. So,

c(10) = a(10)^2 + b(10) + d

757= 100a+10b+d ....[C]

In order to find the values of a, b, c and d, we have to equations [A], [B] and [C]

Subtracting Equation [A] from [B] and [B] from [C]

 12a + 2b = 86  ........[D]

 84a + 6b = 642  ........[E]

Multiplying Equation [D] by 3 and subtracting from [E]

84a + 6b + 3(12a + 2b) = 642 - 86

48a = 384

a = 8

Putting value of a = 8 in equation [D]

12(8) + 2b = 86

96 + 2b = 86

2b = -10

b = -5

Substituting the value of a = 8 and b = -5 in Equation [A].

29= 4a+2b+d

29 = 4(8) + 2(-5) + d

29 = 32 - 10 + d

d = 29 + 10 - 32

d = 7

The required form of equation can be obtained by substituting a = 8, b = -5 and d = 7 in the cost equation. So,

c(x) = 8x^2 - 5x + 7 is the required form of equation.

Therefore, the total cost to make 3 widgets will be:

Putting x = 3 in c(x) = 8x^2 - 5x + 7

c(3) = 8(3)^2 - 5(3) + 7

c(3) = 72 - 15 + 7

c(3) = 64

Hence, the total cost to make 3 widgets is $64.

Keywords: quadratic equation, cost

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The prism has a volume of 60 in3. What would the volume of the prism be if each dimension were tripled?(The shape is a rectangular prism, if that helps)

Answers

First, let's make a possible dimension of the prism. 
We have to divide 60 by a number so when you multiply those three numbers it equals 60. We can try multiplying 5 by 4 by 3 and it gets us 60. This is one possibility. 
So now we triple the sides. 
Triple is to make three times as much (multiply by three)
5*3=15
3*3=9
4*3=12
Now lets find the volume
Volume= l*w*h
Volume= 15*9*12=1,620
I think this would work for any dimension you choose.
The volume of the prism will be 1,620 in3 if the dimensions were tripled.
(Sorry, this took me long time to type.)

Answer:

75

Step-by-step explanation:

The measure of angle Jkl can be represented using the expression 3x+5 What is the Degree of JKL

Answers

Answer:

65^\circ

Step-by-step explanation:

It is given that the measure of angle JKL can be represented by (3x+5).

And from the figure we can see that the measure of angle JKL is,

(45^\circ+x^\circ)

Both the measures must be equal, hence equating both the angles we get,

(3x+5)=45+x

Solving for 'x' we get,

3x+5=45+x

3x-x=45-5

2x=40

x=(40)/(2)

x=20

Putting the value of 'x' we can calculate the measure of angle JKL,

45^\circ+x^\circ=45^\circ+20^\circ=65^\circ

Therefore, the measure of angle JKL is, 65^\circ.

Which of the following expressions is a factor of the trinomial x^3 - x^2 - 6x l. x II. x - 3
III. x + 2

Answers

Answer:

Both

Step-by-step explanation:

First,let's resolve the expression into factors

x^3-x^2-6x

x(x^2-x-6)

x(x^2-3x+2x-6)

x(x(x-3)+2(x-3))

x(×+2)(x-3)

Therefore,both of them are the factors of the expression

X-3 is correct I don’t know how to explain much
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