The dimensions of a box that is a rectangular prism are 3 inches, 4 inches, and 6 inches. What is the length of the diagonal from the point R to point S, to the nearest tenth of an inch?

a 5 inches

b 6.7 inches

c 7.8 inches

d 61 inches

Rodney chose b as the correct answer. how did he get that answer

Answer:

Your name is the answer to the riddle.

Answer:

3b^(4/5) * (5b + 3)

Step-by-step explanation:

Factor:

Take out the factor 3b^4/5

-Chetan K

Answer:

there are 18 Adults 18 Teenagers and 20 small children

Answer:

o 1)

[tex](x + 4)(3x + 2) \\ \\ (x)(3x) + (x)(2) + (4)(3x) + (4)(2) \\ \\ = 3 {x}^{2} + 2x + 12x + 8 \\ = 3 {x}^{2} + 14x + 8[/tex]

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o 2)

[tex](3x - 1)(2x - 5) \\ \\ (3x)(2x) + (3x) ( - 5)+ ( - 1)(2x) + ( - 1)( - 5) \\ \\ = 6 {x}^{2} - 15x - 2x + 5 \\ \\ = 6 {x}^{2} - 17x + 5[/tex]

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o 3)

[tex](5x + 2)(2x + 5) \\ \\ = (5x)(2x) + (5x)(5) + (2)(2x) + (2)(5) \\ \\ = 10 {x}^{2} + 25x + 4x + 10 \\ \\ = 10 {x}^{2} + 29x + 10[/tex]

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o 4)

[tex](4x - 1)(2x + 7) \\ \\ = (4x)(2x) + (4x)(7) + ( - 1)(2x) + ( - 1)(7) \\ \\ = 8 {x}^{2} + 28x - 2x - 7 \\ \\ = 8 {x}^{2} + 26x - 7[/tex]

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o 5)

[tex](2x + 6)(4x + 8) \\ \\ = (2x)(4x) + (2x)(8) + (6)(4x) + (6)(8) \\ \\ = 8 {x}^{2} + 16x + 24x + 48 \\ \\ = 8 {x}^{2} + 40x + 48[/tex]

Answer:

Categorical variable

Step-by-step explanation:

An ordinal variable is a categorical variable for which the possible values are ordered. Please mark me as brainliest.

Answer:

h = 590

Step-by-step explanation:

To find x, rearrange the equation to where h is on its own side.

Rearranged equation:

[tex]759 - 169 = h[/tex]

Since 169 added to h was to find 769, 169 subtracted from 759 represents h.

Solve:

[tex]759 - 169 = 590[/tex]

590 = h.

Answer:

x = 14

Step-by-step explanation:

All angles add up to 180

2x - 5 + 3x - 8 + 10x - 17 = 180

Combine like terms and solve

x = 14

[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &28000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=\textit{elapsed time}\dotfill &1 \end{cases} \\\\\\ A=28000(1-0.09)^1\implies A=28000(0.91)\implies A=25480[/tex]

Answer:

  $25,480

Step-by-step explanation:

In one year, the car depreciates by 9% of its original value:

  0.09 × $28,000 = $2520 . . . . amount of depreciation

The value at the end of one year is ...

  $28,000 -2,520 = $25,480

The value one year after purchase is $25,480.

Answer:

kilograms

Step-by-step explanation:

theoretically, a bus cant be measured in grams, because its too light and unrealistic.

The school bus has a mass of about 8000 kilograms.

"Mass is the quantity of matter in a physical body. It is also a measure of the body's inertia, the resistance to acceleration (change of velocity) when a net force is applied."

"The kilogram is the base unit of mass in the International System of Units (SI), the metric system, having the unit symbol kg."

Theoretically, a bus can't be measured in grams. Because its not too light to lift and heavy in weight.

∴ The school bus has a mass of about 8000 kilograms.

Learn about more kilograms, grams and mass here

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Answer:

Answer: The height of the given equilateral triangle is 3√3 cm.

Answer:

1/2 < 2/3

Step-by-step explanation:

1/2 = .5 in decimal form while 2/3 is .6 repeating in decimal form

1/2 < 2/3

*Watch image for better understanding

Blue portion is 1/2

Red portion is 2/3

so, obviously red portion is bigger than blue one.

Numbers can be represented using the place value system

The number 22 thousands, 22 hundreds, 222 tens represents 26420

The number is given as:

22 thousands, 22 hundreds, 222 tens

Rewrite the number as:

22 thousands + 22 hundreds + 222 tens

Express the place values as figures

22 * 1000 + 22 * 100 + 222 * 10

Evaluate the product

22000 + 2200 + 2220

Evaluate the sum

26420

Hence, 22 thousands, 22 hundreds, 222 tens represents 26420

Read more about the place value at:

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Answer:

They won 27 games

Step-by-step explanation:

10% of 30 is 3,

so 30-3= 27

Answer:

75 miles

Step-by-step explanation:

Answer:

75 miles

Step-by-step explanation:

20 miles = 1 gallon of gas

3 3/4 = 15/4

12/4 = 3 = 3 x 20 = 60 miles

3/4 of 20 = 15 miles

60 + 15 = 75 miles

Answer:

32.5/13=time=2.5h

Time=distance /speed

Answer:

x= 96

Step-by-step explanation:

an triangles angles always add up to 180 so 44+40 equals 84 and 180-84= 96.

Taxes are rates or amount deducted from individuals.

The borrower paid $605.36 for county taxes

From the table, we have the following entry:

County taxes (half year)         (6)        $605.36

The above represents the amount paid for county taxes

Hence, the borrower paid $605.36 for county taxes

Read more about tax at:

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Answer:

$605.36

$605.36

$605.36

$605.36

$605.36

$605.36

50 oz. of 12% sugar and 30 oz. of 20% sugar is needed to produce 80 oz. of 15% sugar.

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the amount of 12% sugar and y represent the amount of 20% sugar need to produce 80 oz. of 15% sugar. Hence:

x + y = 80   (1)

Also:

0.12x + 0.2y = 0.15(80)   (2)

From both equations:

x = 50, y = 30

50 oz. of 12% sugar and 30 oz. of 20% sugar is needed to produce 80 oz. of 15% sugar.

Find out more on Equation at: https://brainly.com/question/18831322

Answer:

10

Step-by-step explanation:

1 out of 50 got it, so 500/50=10

Answer:

10 students

Step-by-step explanation:

if the ratio is 1:50 and there are 500 kids then you multiply the 50 by 10 to make it 500 then you also multiply the 1 by to so only 10 kids made honor roll

Answer:

3) 162 ft²   ||  4) 38.25 mm²

Step-by-step explanation:

3)

area of triangle = 0.5 * base * height

                          = 0.5 * 27 *  12

                          = 162 ft²

4) area of triangle = 0.5 * base * height

                              = 0.5 * 8.5 * 9

                              =  38.25 mm²

Step-by-step explanation:

Area of triangle:

Area of triangle:

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Answer

Zara gets $5.50

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

I think it's 3

but I don't know if it's correct I just think it's 3

Answer:

x = 8

Step-by-step explanation:

[tex]\frac{3x+2}{2} =13[/tex]

[tex]\frac{3x+2}{2}[/tex]× 2 [tex]= 13[/tex] × 2

[tex]3x+2 = 26[/tex]

     -2      -2

=

3x = 24

[tex]\frac{3x}{3} =\frac{24}{3} \\x = 8[/tex]

Answer:

Socratic app

Step-by-step explanation:

it will help you

Answer:

C)   y = 5

Step-by-step explanation:

Equation of a line in slope-intercept form:  y = mx + b

(where m is the slope (gradient) and b is the y-intercept)

If the line is perpendicular to the y-axis, the line will be parallel to the x-axis (horiztonal) and so the slope is zero.

Therefore, y = (0)x + b

⇒ y = b

We are told that the line passes through point (-4, 5).  Therefore, the y-intercept is 5.

So the equation of the line is:  y = 5

Step-by-step explanation:

Let 1st side of triangle be x

so,

length of given side will be x, 2x, 6+x

we know that,

perimeter of triangle = 34

x+2x+(6+x)= 34

4x+6= 34

4x = 34-6

x= 28÷4

:x= 7

2x = 7*2= 14 ft

6+x = 6+7 = 13 ft