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3 years ago

If 6a=5b, what are the following ratios? a+b/b

Mathematics

1 answer:

lidiya [134]3 years ago

4 0

Our Equation is

$6a=5b$

which means

$a = 5b/6$

Now we have to find this ration

$\frac{a+b}{b}$

Inserting value of a into this equation

$=\frac{\frac{5b}{6}+b}{b}$

$=\frac{\frac{11b}{6}}{b}$

$=\frac{11b}{6b}$

$=\frac{11}{6}$

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Order from greatest to least:show your work❗️<br><br> 12,-4,8,-3,0

Aneli [31]

The answer would be 12, 8, 0, -3, -4.

The answer is that because 12 is a positive number so that's higher than negative, 8 goes second because its positive and higher than the others, 0 is third because negatives numbers are LOWER than 0, not higher, -3 is next because higher negative numbers are always lower, not greater than smaller numbers because -8 is LOWER than -4 since its on the left of a number line.

6 0

3 years ago

Two sets of equatic expressions are shown below in various forms: Line 1: x2 + 3x + 2 (x + 1)(x + 2) (x + 1.5)2 − 0.25 Line 2: x

kherson [118]

Answer: The correct line is

$\textup{Line 1 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25.$

Step-by-step explanation: We are given the following two sets of quadratic expressions in various forms:

$\textup{Line 1: }x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25,\\\\\textup{Line 2 :}x^2+5x+6=(x+2)(x+3)=(x+2.5)^2+6.25.$

We are to select one of the lines from above that represent three equivalent expressions.

We can see that there are three different forms of a quadratic expression in each of the lines:

First one is the simplified form, second is the factorised form and third one is the vertex form.

So, to check which line is correct, we need to calculate the factorised form and the vertex form from the simplified form.

We have

$\textup{Line 1: }\\\\x^2+3x+2\\\\=x^2+2x+x+2\\\\=x(x+2)+1(x+2)\\\\=(x+1)(x+2),$

and

$x^2+3x+2\\\\=x^2+2\times x\times 1.5+(1.5)^2-(1.5)^2+2\\\\=(x+1.5)^2-2.25+2\\\\=(x+1.5)^2-0.25.$

So,

$\textup{Line 1 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25.$

Thus, Line 1 contains three equivalent expressions.

Now,

$\textup{Line 2: }\\\\x^2+5x+6\\\\=x^2+3x+2x+6\\\\=x(x+3)+2(x+3)\\\\=(x+2)(x+3),$

and

$x^2+5x+6\\\\=x^2+2\times x\times 2.5+(2.5)^2-(2.5)^2+6\\\\=(x+2.5)^2-6.25+6\\\\=(x+2.5)^2-0.25\neq (x+2.5)^2+6.25.$

So,

$\textup{Line 2 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2+6.25.$

Thus, Line 2 does not contain three equivalent expressions.

Hence, Line 1 is correct.

7 0

3 years ago

What is the value of 0.1322 rounded to the nearest hundredth place?

kifflom [539]

Answer:

Step-by-step explanation:

0.1322 ≅ 0.13

3 0

3 years ago

Read 2 more answers

Step by step PLEASE!!!

blondinia [14]

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

= 3(x^2+2x-2/3)
= 3(x^2 +2x + 1 - 1 - 2/3)
= 3((x+1)^2 - 1 - 2/3)
= 3((x+1)^2 -5/3))
= 3(x+1)^2 - 5

So our function is in the form:

f(x) = 3(x+1)^2 - 5
where a = 3, h = -1, k = -5

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3 years ago

A window washer cleaned 38 windows in 2 hours. At this rate, how many windows did he clean in 7 hours? Help before I pass out tr

shutvik [7]

Answer: 133 windows

Step-by-step explanation:

Step 1: 38/2=19

Step 2: 19*7=133

4 0

3 years ago

Read 2 more answers