How do you rationalize the denominator of a radical expression that has two terms in the denominator? (For example, the denominator is 1+√5.)

Answer:

125 cm3

Step-by-step explanation:

V = l * w * h

V = 5 * 5 * 5

V = 125 cm3

Answer:

125 cm^3

Step-by-step explanation:

To calculate the area of a cube, just do the side length to the power of 3.

5^3=125

Answer:

Ms G ran 3/25 mile per minute

Mr H ran 1/5 mile per minute

Step-by-step explanation:

Ms G:

create a proportion from mile/minutes = mile/minutes

let 'm' = amount of miles

3/5÷5 = m÷1

cross-multiply to get:

3/5 = 5m

m = 3/5 × 1/5 = 3/25

Mr H:

3/5÷3 = m÷1

cross-multiply to get:

3/5 = 3m

15m = 3

m = 3/15 or 1/5

Answer:

14 - medium sodas and 18 - large sodas

Step-by-step explanation:

x+y = 32 (the amount of medium and large sodas add up to 32)

3.00x + 4.00y = 114 (the cost of each soda = the amount of money made)

x = 32-y (isolate x and subsitiue it into the following equation)

3x+4y=114 --> 3(32-y) + 4y = 114

96 - 3y + 4y = 114

y=18

plug in 18 in to this equation x = 32-18, x=14

Answer:

7.2

Step-by-step explanation:

20/12 = 12/x

20x = 144

x = 144/20

x = 7.2

Check to make sure your answer is right:

20/12 = 1.66666666667

12/7.2 = 1.66666666667

Answer:

Step-by-step explanation:

The smaller feeder is sweeter as it has more sugar molecules per unit of water than the larger feeder.

Answer: 5in

Step-by-step explanation:

1/3x8/8=8/24

1/8x3/3=3/24

8-3=5

Answer:

42x - 54 I think

Step-by-step explanation:

Just simplify it  

91929229

7373738292929202010100110010110

[tex]{\huge{\boxed{\mathbb{QUESTION}}}[/tex]

2d +9= 19

The solution is d =

[tex]{\huge{\boxed{\mathbb{ANSWER\:WITH\:EXPLANATION}}}[/tex]

Hello there, first we can place our equation, which you have stated

[tex]2d+9=19[/tex], this algebra, in algebra we want to find the exact value of the variable, or have the variable on one side of the equation.

First we can subtract [tex]9[/tex] with both sides of the equation giving us the result of [tex]2d=10[/tex], this can also be represented as [tex]2\cdot d=10[/tex], now just divide both sides of the equation by [tex]2[/tex], our answer is [tex]d=5[/tex].

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[tex]{\huge{\boxed{\mathbb{ANSWER}}}[/tex]

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Answer:

Step-by-step explanation:

Let the tip be x.

You have to take 15% of 90 to get x.

The equation looks like

15/100 * 90 = x         Multiply the numerator of the fraction by 90

1350/100 = x            Divide by 100    

x = 13.50

So the tip is 13.50

There are other ways you could do this problem, but I think this is the most easily understood.

A typical tip in a restaurant is 15% of the total bill. If the bill is $90, what would the typical tip be?

$13.50

Let the tip be x.

→ x = [tex] 90 \times \frac{15}{100} [/tex]

→ x = [tex] \frac{1350}{100} [/tex]

→ x = $13.50

Answer:

inequality form: x<-7 or x> 17

Step-by-step explanation:

Answer:

215

Step-by-step explanation:

-3+29+12(-3)+5(-3)[tex]^{2}[/tex]

[tex]\begin{array}{|cc|ll} \cline{1-2} x&y\\ \cline{1-2} 0&-5\\ 1&-1\\ 2&3\\ 3&7\\ \cline{1-2} \end{array} \begin{array}{llll}\\[-0.5em] \leftarrow \textit{let's use this point}\\\\\\ \leftarrow \textit{and this point} \end{array}\qquad \qquad (\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{7})[/tex]

[tex]\stackrel{slope}{m}\implies\cfrac{\stackrel{rise}{\stackrel{y_2}{7}-\stackrel{y1}{(-5)}}}{\underset{run}{\underset{x_2}{3}-\underset{x_1}{0}}}\implies \cfrac{7+5}{3}\implies \cfrac{12}{3}\implies 4[/tex]

The probability that  a randomly received emergency call is between 5 and 10 min is 77.97%.

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ) / σ

Where μ is the mean, σ is the standard deviation and x is the raw score.

Given that μ = 6.4, σ = 1.7

For x = 5:

z = (5 - 6.4) / 1.7 = -0.83

For x = 10:

z = (10 - 6.4) / 1.7 = 2.12

a) P(5 < x < 10) = P(-0.83 < z < 2.12) = P(z < 2.12) - P(z < -0.83) = 0.9830 - 0.2033 = 0.7797

b)  P( x < 5) = P(z < -0.83) = 0.2033

c)  P(x > 10) =1 - P(z < 2.12) = 1 - 0.9830 - 0.2033 = 0.017

The probability that  a randomly received emergency call is between 5 and 10 min is 77.97%.

Find out more on Z score at: https://brainly.com/question/25638875

Answer:

d

Step-by-step explanation:

1. True

2. False

3. True

4. False

Rounding represents replacing a numeral with an approximate value that includes a shorter, easier, or more explicit representation.

Rounding suggests making a number simpler but keeping its value close to what it existed.

Hence,

1. True

2. False

3. True

4. False

To learn more about rounding refer to:

https://brainly.com/question/27207159

#SPJ2

Answer:

The following table lists the value of functions ggg and hhh, and of their derivatives, g'g  

′

g, prime and h'h  

′

h, prime, for x=3x=3x, equals, 3.

xxx g(x)g(x)g, left parenthesis, x, right parenthesis h(x)h(x)h, left parenthesis, x, right parenthesis g'(x)g  

′

(x)g, prime, left parenthesis, x, right parenthesis h'(x)h  

′

(x)h, prime, left parenthesis, x, right parenthesis

333 ~~9  9space, space, 9 ~~~0   0space, space, space, 0 -15−15minus, 15 ~~~6   6space, space, space, 6

Let function GGG be defined as G(x)=2g(x)-h(x)+8G(x)=2g(x)−h(x)+8G, left parenthesis, x, right parenthesis, equals, 2, g, left parenthesis, x, right parenthesis, minus, h, left parenthesis, x, right parenthesis, plus, 8.

G'(3)=G  

′

(3)=G, prime, left parenthesis, 3, right parenthesis, equals  

Step-by-step explanation:

Answer:

5.15

Step-by-step explanation:

Answer:

5.15

Step-by-step explanation:

5.4 = 5.40

 5.40

- 0.25

= 5.15

because 0.40 - 0.25 = 0.15

Answer:

x =  11

Step-by-step explanation:

Lines are parallel.   5x + 10 and 10x + 5 are supplements of each other.

Move  5x+ 10 to the corresponding position on the figure.  It will be next to 10x + 5 and form a linear pair with 10x + 5.  A linear pair form a straight angle or two supplementary angles.  Supplementary angles = 180°

Therefore  5x +10 + 10x + 5 = 180°

                   15x  + 15 = 180°

                      15x = 180 - 15

                         15x = 165

                           x =  11

Answer: The missing digit is 2.

Step-by-step explanation:

4,912*22= 108,064

Answer:

Step-by-step explanation:

We assume the figure is a parallelogram, so the sum of the marked angles is 180°.

  2y +(7y +9) = 180

  9y +9 = 180 . . . . . . . simplify

  y +1 = 20 . . . . . . . . . divide by 9

  y = 19

m∠BCD = 2y° = 38°

m∠ABC = (7y+9)° = (7·19 +9)° = 142°

[tex]239.013 = 2 \times 100 + 3 \times 10 + 9 \times 1 + 0 \times 1 \div 10 + 1 \times 1 \div 100 + 3 \times 1 \div 1000[/tex]

hope it helps :)

Answer:

[tex]239.013=2×100+3×10+9×1+0×1÷10+1×1÷100+3×1÷1000[/tex]

Answer:i dont know yet

Step-by-step explanation:

Answer:

2 because if y is 5 and x is 4 and we subtract them and get one and then multiply it by two to get two using pemdas

Answer:

480min a month

Step-by-step explanation:

4×30 =120

120×4=480

Answer:

D

Step-by-step explanation:

I think you meant to put the answers as a fraction

Answer:

if there were slashes in between every answer, the answer would be

D. 2/3

Step-by-step explanation:

m = y2-y1 / x2-x1  (slope formula)   ⋅the two points i used were: (0,-3) and (3,-1)

m = -1-(-3) / 3-0 (plug in the points)

m = -1+3 / 3-0

m = 2/3 (Simplify to get your answer)

Answer:

[tex]y-11=\frac{4}{3}(x+2)[/tex] or y - 11 = (4/3)(x+2)

Step-by-step explanation:

Point-slope equation is:  [tex]y-y_1=m(x-x_1)[/tex]

If we replace y1 with 11 and x1 with -2 then this will be our resulting formula:

[tex]y-11=m(x+2)[/tex]

And of course we need to replace m with our slope:

[tex]y-11=\frac{4}{3}(x+2)[/tex]

Answer:

Step-by-step explanation:

10x-13=17x-41

DO YOUR WORK

Answer: 16.2

Step-by-step explanation:

i used the calculator