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Olin [163]
3 years ago
13

Determine if each pair of ratios or rates is equivalent. Explain your reasoning. 288 miles on 12 gallons of fuel; 240 miles 10 g

allons of fuel
Mathematics
1 answer:
lesantik [10]3 years ago
3 0
Yes they are equivalent. This is because if you simplify each fraction : 288/12 and 240/10 they both equal 24.
\frac{288}{12}  = 24
\frac{240}{10}  = 24
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Fill in the missing numbers to complete the linear equation that gives the rule for this table.
irakobra [83]

The value of the missing number to complete the linear equation are 31 and -10 respectively.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Here the given tables shows the coordinates of the linear equation and to find the equation  we consider any two points let suppose the those two points be (0,-10) and (1,21).

Now using slope formula to find the slope of line m :

m = (y₂-y₁)/ (x₂-x₁)

m = (21-(-10))/(1-0)

m = 31

Let us first find the equation of the line using point-slope equation of line :

(y-y₁) = m(x-x₁)

Substituting all the values in above equation to get the equation of line :

(y-(-10)) = 31(x-0)

(y+10) = 31x

y = 31x - 10

Therefore, the value of the missing number to complete the linear equation are 31 and -10 respectively.

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8 0
10 months ago
Write -2i + (9 - 3i) - (6 - 10i) as a complex number in standard form. 3 - 5i 3 + 5i 3 + 16i 12 - 16i
Ierofanga [76]

Answer:

3 + 5i

Step-by-step explanation:

Given

- 2i + (9 - 3i) - (6 - 10i) ← distribute parenthesis

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= 3 + 5i

7 0
2 years ago
Quotient of 4/5 and 6/7
brilliants [131]

Answer:

0.93333333333

Step-by-step explanation:

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5 0
2 years ago
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katrin [286]

Answer:

21/25 ---> 84%

13/20 ---> 65%

3/5 ---> 60%

3/4 --->75%

2/5 ---> 40%

8 0
3 years ago
In 1603, German astronomer Christoph Scheiner began to copy and scale diagrams using an instrument that came to be known as the
schepotkina [342]

It should be noted that a pantograph consists of four rods that are joined together in order to form a parallelogram with the joints varying in relation to the scale of reproduction.

<h3>Pantograph</h3>

In a pantograph, the mechanical assembly is based on the shape of a parallelogram.

It should be noted that the operation of a pantograph can be related to dilation as it has a fixed center and two points which are a drypoint that follows the contour of the original drawing, as well as a pen point that traces the reproduction in an enlarged or reduced form.

In order to enlarge a drawing, the index is positioned between the fixed center and the pen. Therefore, to reduce it, the pen is set between the fixed center and the index.

Lastly, to copy a drawing on the same scale, it can be deduced that the index and the pen are equidistant from the fixed center.

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7 0
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