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3 years ago

6

There are 2.54 centimeters in every inch. If a bug moves at a rate of 3.5 inches per second, then Which of the following is clos

est to its speed in meters per second?

1 answer:

Kitty [74]3 years ago

4 0

Answer: 0.08 m/s

Step-by-step explanation:

We are told the bug moves at a rate of:

$3.5 \frac{in}{s}$

And we have to convert this to units of $\frac{m}{s}$ , knowing $1 in=2.54 cm$ and $1 m=100 cm$ :

$3.5 \frac{in}{s}. \frac{2.54 cm}{1 in}. \frac{1 m}{100 cm}=0.088 \frac{m}{s}$

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8x - (2x - 13) = 42<br>solve and check the equation

pantera1 [17]

Answer:

x = 29/6

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

8x - (2x - 13) = 42

<u>Step 2: Solve for </u><em><u>x</u></em>

[Distributive Property] Distribute negative: 8x - 2x + 13 = 42
[Subtraction] Combine like terms: 6x + 13 = 42
[Subtraction Property of Equality] Subtract 13 on both sides: 6x = 29
[Division Property of Equality] Divide 6 on both sides: x = 29/6

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

Substitute in <em>x</em>: 8(29/6) - [2(29/6) - 13] = 42
Multiply: 116/3 - [29/3 - 13] = 42
[Brackets] Subtract: 116/3 - -10/3 = 42
Subtract: 42 = 42

Here we see 42 does indeed equal 42.

∴ x = 29/6 is the solution.

7 0

3 years ago

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Help please ! I dont understand this question

EastWind [94]

Answer:

x = 4

Step-by-step explanation:

all angles in triangle add to 180

90+70=160

180-160=20

20÷5=4

6 0

3 years ago

a cuboid with a volume of 924 cm3 has dimensions 4cm (x+1)cm and (x+11)cm. show clearly that x^2 +12x-220=0. show the equation b

nikdorinn [45]

Answer:

Part 1)

The equation by factorization is

$x^{2}+12x-230=(x-(-6+\sqrt{266}))(x-(-6-\sqrt{266}))$

Both values of x are

$x1=-6+\sqrt{266}$

$x2=-6-\sqrt{266}$

Part 2) The dimensions of the cuboid are

$4\ cm$ , $(-5+\sqrt{266})\ cm$ and $(5+\sqrt{266})\ cm$

Step-by-step explanation:

step 1

we know that

The volume of the cuboid is equal to

$V=LWH$

substitute the given values

$V=4(x+1)(x+11)$

$V=924\ cm^{3}$

so

$4(x+1)(x+11)=924\\4(x^{2}+11x+x+11)=924\\ 4(x^{2}+12x+11)=924\\x^{2}+12x+11=231\\x^{2}+12x-230=0$

Complete the square

$x^{2}+12x-230=0$

$x^{2}+12x=230$

$x^{2}+12x+36=230+36$

$(x+6)^{2}=266$

square root both sides

$x+6=(+/-)\sqrt{266}$

$x=-6(+/-)\sqrt{266}$

so

$x1=-6+\sqrt{266}$

$x2=-6-\sqrt{266}$

therefore

The equation by factorization is

$x^{2}+12x-230=(x-(-6+\sqrt{266}))(x-(-6-\sqrt{266}))$

step 2

Find the dimensions of the cuboid

The dimensions are

$4\ cm$

$(x+1)\ cm -----> (-6+\sqrt{266}+1)=(-5+\sqrt{266})\ cm$

$(x+11)\ cm ----> (-6+\sqrt{266}+11)=(5+\sqrt{266})\ cm$

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3 years ago

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How many solutions are there?

m_a_m_a [10]

One solution, x can only equal one thing.

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3 years ago

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. What is the range of this data set? 27, 5, 11, 13, 10, 8, 14, 18, 7 022 07.5 011 0 16

Goryan [66]

Answer: if 7 022 07.5 011 0 16 is one number then the answer is: 702,199.511.

Step-by-step explanation: Here, you would subtract the smallest number which is 8, from the largest number which is 7 022 07.5 011 0 16. 7 022 07.5 011 0 16-8 =702,199.511.

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