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3 years ago

What would you do in order to write 1/5x + 1/3y = 9 in standard form?

Mathematics

1 answer:

dmitriy555 [2]3 years ago

4 0

Multiply all terms by the common denominator which is 15

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The dot plots below show the scores for a group of students for two rounds of a quiz: Two dot plots are shown one below the othe

miskamm [114]

Answer:

The inference that can be made using the dot plot is:

The range of round 1 is greater than the round 2 range.

Step-by-step explanation:

Round 1:

Score Frequency

1 0

2 2

3 3

4 2

5 1

Hence, the minimum score of Round 1 is: 2

maximum score is: 5

Hence, Range=Maximum value-Minimum score

=5-2

Similarly, Round-2

Score Frequency

1 0

2 0

3 0

4 4

5 4

Hence, the minimum score of Round 1 is: 4

maximum score is: 5

Hence, Range=Maximum value-Minimum score

=5-4

The scores of round 2 are higher than round-1.

Since round 2 have a higher frequency for higher scores as compared to round-1.

Hence, Range of round 1 is greater than the range of Round-2.

6 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=x%20%20%5Cdiv%203x%20-%202%20%3D%201%20%5Cdiv%203x%20-%204" id="TexFormula1" title="x \div 3x

Maurinko [17]

Hello from MrBillDoesMath!

Answer:

x = 1/2 (1 +\- i sqrt(23))

Discussion:

x \3x - 2 = (x/3)*x - 2 = (x^2)/3 - 2 (*)

1 \3x - 4 = (1/3)x - 4 (**)

(*) = (**) =>

(x^2)/3 -2 = (1/3)x - 4 => multiply both sides by 3

x^2 - 6 = x - 12 => subtract x from both sides

x^2 -x -6 = -12 => add 12 to both sides

x^2-x +6 = 0

Using the quadratic formula gives:

x = 1/2 (1 +\- i sqrt(23))

Thank you,

MrB

4 0

3 years ago

Express the function y=5x^2+15x-2 in vertex form

mina [271]

Y = 5(x+32)^2 − 53/4 (the / is for fraction)

4 0

4 years ago

Which expression represents the distance between the points (11, 4) and (5,8)?

antiseptic1488 [7]

Answer:

$\displaystyle d = 2\sqrt{13}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: $\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Point (11, 4) → x₁ = 11, y₁ = 4

Point (5, 8) → x₂ = 5, y₂ = 8

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]: $\displaystyle d = \sqrt{(5-11)^2+(8-4)^2}$
[√Radical] (Parenthesis) Subtract: $\displaystyle d = \sqrt{(-6)^2+(4)^2}$
[√Radical] Evaluate exponents: $\displaystyle d = \sqrt{36+16}$
[√Radical] Add: $\displaystyle d = \sqrt{52}$
[√Radical] Simplify: $\displaystyle d = 2\sqrt{13}$

4 0

3 years ago

Gabriel buys 5 pounds of apples for $8. Allie buys 10 pounds of the same apples for $16. Which of the following points is NOT on

Tom [10]

I don't understand your question

4 0

3 years ago