If EC $2.50 is equivalent to US $1.00, then EC $20.00 in Us dollars is

D10W has a concentration 10%

So

Dextrose amount=

[tex]\\ \sf\Rrightarrow 10\%\:of\:756[/tex]

[tex]\\ \sf\Rrightarrow 0.10(756)[/tex]

[tex]\\ \sf\Rrightarrow 75.6ml[/tex]

answer: 1/16

If you flip a coin 4 times, the probability of getting all heads is 1/16.

Answer:

11

Step-by-step explanation:

(f/g)(5)=

f(5)=(5)2+1÷g(5)=5-4

10+1/1

11/1

(f/g)=11

The required simplified value of the given function as (f/g)(5)  is 26.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
f(x) = x² +1

f(5) = 5² + 1
f(5) = 26

g(x) = x - 4
g(5) = 5 - 4 = 1

f/g(5) = f(5) / g(5)
       = 26 / 1 = 26

Thus, the required simplified value of the given expression (f/g)(5)  is 26.

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The total cost, if one drink costs $3 is $27.75

If kiyo bought a pizza for 12.75 and four medium drinks to Pauli’s pizza, this expressed as x + 4y

Since a pizza costs $12.75, hence x = $12.75

The function becomes 12.75 + 5y

f(y) = 12.75 + 5y

To get the total cost if one drink costs $3, hence;

f(3) = 12.75 + 5(3)

f(3) = 12.75 + 15

f(3) = 27.75

Hene the total cost, if one drink costs $3 is $27.75

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Answer:  It is highly unlikely to get both multiplication cards on the first try.

Part A      The question asked is: there are two multiplication cards out of one hundred cards including forty-two addition problem cards and fifty-six subtraction cards.What are the odds of getting just the multiplication cards.The assumption is this we are talking about the first try.

Part B       You make the multiplication cards,  card#1 and card#2. All other cards are #3-100. Then you use the random number generator to see odds of two numbers out of one hundred, which is 0.02%. as I did 2/100 x 1/99 then multiply by 100 so.02

Part C      I got 83 and 27as my first two numbers with my random number generator, So Malachi didn't get a multiplication card in this random test. card #1 and card #2 are the multiplication cards

Part D    The percentage of the time that you'd expect both multiplication cards to be picked is 0.002 or .2%. The proportion of the time that it happened here is 5/1500=.00333 or .33%, which means that this is pretty much in line with what you'd expect

Step-by-step explanation: I got a 10/10 on 3.07 essay test for honors statistics.

A reasonable price for X would be $ 2.

Since a class of 30 students visits an art museum and a special exhibit while there, and the prices were as follows:

To estimate a reasonable value for x, the following logical reasoning must be made:  

Therefore, a reasonable price for X would be $ 2.

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Answer:

27.6

Step-by-step explanation:

sin29=x/57

0.48480962=x/57

x≈27.6

Answer:

  (c)  3,477.4 cm³

Step-by-step explanation:

The formula for the volume of a sphere is ...

  V = 4/3πr³ . . . . where r is the radius

The radius is half the diameter, so is 18.8 cm/2 = 9.4 cm.

Using this value and the value for pi in the formula, we have ...

  V = (4/3)(3.14)(9.4 cm)³ = (4/3)(3.14)(830.584 cm³) ≈ 3477.4 cm³

_____

Additional comment

You will do well to learn how to use a formula, and how to use your calculator to evaluate it. It can be useful to keep perimeter, area, and volume formulas handy for the usual plane and solid figures.

Answer:

 3²

Step-by-step explanation:

The factors 3³ in the numerator and denominator cancel each other. Anything divided by itself is 1. Anything multiplied by 1 is unchanged.

  [tex]\dfrac{3^3\cdot3^2}{3^3}=\dfrac{3^3}{3^3}\cdot3^2=1\cdot3^2=3^2[/tex]

_____

Additional comment

The exception is that 0 divided by itself is indeterminate.

Answer:

f(x) = (2/3)x-2

Step-by-step explanation:

Pick any two points and calculate the slope.  I chose:  (-3,-4) and (3,0).  The Rise/Run, or slope, is (0-(-4))/(3-(-3) or 4/6:  2/3

The y-intercept of the graph is -2 ( the value of y when x=0).

Given y = mx + b

we have

y = (2/3)x - 2

Option 3

Answer:

The second one. 30 minutes ÷ 6 miles.

Step-by-step explanation:

You want to find how long it took Jamaal to run one mile.

30 minutes ÷ 6 miles = 5 minutes.

So Jamaal can run one mile in 5 minutes.

Option B, 30mins/6miles

Answer:

Step-by-step explanation:

Y=7

Let it be x

[tex]\\ \sf\longmapsto \dfrac{150}{x}=\dfrac{150+150}{280}[/tex]

[tex]\\ \sf\longmapsto \dfrac{150}{x}=\dfrac{300}{280}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{x}=\dfrac{2}{280}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{x}=\dfrac{1}{140}[/tex]

[tex]\\ \sf\longmapsto x=140ft[/tex]

3:7  

This means that for every 7 blue chairs, there are 3 red chairs.

the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade is 14%.

Given, the members of the junior varsity swim team wear glasses is 55%.

And the members of junior varsity swim team who do not wear glasses and in 10th grade is 30%.

Let the total no. of members be x.

So, the members of the junior varsity swim team wear glasses (55%),will be

[tex]0.55x[/tex].

The total number of members not wearing glasses, will be

[tex]x - 0.55 x = 0.45 x[/tex].

Now, the no. of members not wearing glasses and in 10th grade will be,

[tex]\frac{0.45x\times30}{100} =0.135x[/tex]

We know that the probability of an event E, P(E) will be,

[tex]P(E)=\frac{No.\ of Favourable\ outcomes}{total \ no. \ of \ outcomes}[/tex]

So, the probability for no. of members not wearing glasses and in 10th grade will be,

[tex]P(E)=\dfrac{0.135x}{x}[/tex]

[tex]P(E)=0.135\\\\P(E)=13.5 \%[/tex]

Hence the nearest whole percent of probability is 14%.

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Answer: The answer is 1 1/5

Step-by-step explanation: Hope that helps :)

The equation that can be used to determine the sales price of the bracelets is $22.5

Amount in her account = $150

Amount in her account after sales = $235

Change in account balance = $235 - $150

= $85

cost of necklace = $22.5

let

bracelet = x

necklace = y

The equation:

Total sales = 5x + y

85 = 5x + 22.5

85 - 22.5 = 5x

62.5 = 5x

x = 62.5/5

x = $12.5

Therefore, the cost of each bracelet is $12.5 and the cost of necklace is $22.5

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Answer:

[tex](x-2)(x-3)[/tex]

Step-by-step explanation:

[tex]x^2-5x+6[/tex]

[tex]x^2-3x-2x+6[/tex]

[tex]x(x-3)-2(x-3)[/tex]

[tex](x-2)(x-3)[/tex]

Answer:

I think -24 for the hourly change

Step-by-step explanation:

10-24= -14

Answer: -4

Step-by-step explanation:

Subtract 10 by -14 to get -24 then divide by 6 because ben was at work for 6 hours to get -4

Answer:

$2,691

Step-by-step explanation:

Interest (I) = Principal x Rate x Time

Total Amount (A) = Interest + Principal

I = 2600(.005)(7)

I = 91

A = 2600 + 91

A = 2691

Answer:

45 percent

Step-by-step explanation:

Have an awesome day!

The remainder of the equation is [tex]\rm 28x+30[/tex].

Given that,

When the equation [tex]\rm 3x^3-2x^2+4x-3[/tex] is divided by [tex]\rm x^2+3x+3[/tex].

We have to find,

The remainder of the equation?

According to the question,

The equation [tex]\rm 3x^3-2x^2+4x-3[/tex] is divided by [tex]\rm x^2+3x+3[/tex].

On the division of the polynomial, the remainder is,

[tex]\dfrac{\rm 3x^3-2x^2+4x-3}{\rm x^2+3x+3}[/tex]

Factorize the equation to convert this into the simplest form,

[tex]\rm 3x^3-2x^2+4x-3\\\\3x^3-11x^2+9x^2+9x+28x-33x-33+30\\\\Taking \ the \ common \ terms \ and \ simplify\ the\ equation\\\\3x^3+9x^2+9x+11x^2+33x-33+28x+30\\\\3x(x^2+3x+3) - 11(x^2+3x+3) + 28x+30\\\\(3x+11) (x^2+3x+3) +28x +30[/tex]

Now, the equation can be written as,

[tex]\rm = \dfrac{(3x+11) (x^2+3x+3) +28x +30}{ x^2+3x+3}\\\\= \dfrac{(3x+11) (x^2+3x+3) }{ x^2+3x+3} + \dfrac{28x +30}{ x^2+3x+3}\\\\= (3x+11) + \dfrac{28x +30}{ x^2+3x+3}\\\\[/tex]

The relation between the divisor, remainder, and quotient is,

[tex]\rm = Quotient + \dfrac{Remainder}{Divisor}[/tex]

On comparing with the equation,

The remainder becomes 28x +30.

Hence, The required remainder of the equation is [tex]\rm 28x+30[/tex].

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Hey there!

k - 10/2 = -7

k - 5 = -7

ADD 5 to BOTH SIDES

k - 5 + 5 = -7 + 5

CANCEL out: -5 + 5 because that gives you 0

KEEP: -7 + 5 because it helps solve for the k-value

NEW EQUATION: k = -5 + 7

SIMPLIFY IT & YOU HAVE YOUR ANSWER!

k = -2

Therefore, your answer is: k = -2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

C

CT=90°

BTA=90°

x=29

CT=37

TA=20

CA=57

Step-by-step explanation:

they say BT is an altitude ( or height) . Altitudes are perpendicular meaning that:

BTC =90°

BTA=90°

Therefore:

(3x+3)°=90°

3x=90-3

3x=87°

x=29

CT:

x+8

=29+8

=37

TA:

x-9

=29-9

=20

CA:

=CT+TA

=37+20

=57

Answer:

4

Step-by-step explanation:

note that [tex]\sqrt{x^2}[/tex] = x , then

[tex]\sqrt{(2-\sqrt{5})^2 }[/tex] + [tex]\sqrt{(2+\sqrt{5})^2 }[/tex]

= 2 - [tex]\sqrt{5}[/tex] + 2 + [tex]\sqrt{5}[/tex] ← collect like terms

= 4

Answer:

it's d

Step-by-step explanation:

multiply 0.31 by the amount of minutes used (27) and add the flat fee to it.

0.31×27+(0.57)= 8.94

Answer:

3rd option

Step-by-step explanation:

(x + 7)(x - 9) = 25 ← expand left side using FOIL

x² - 2x - 63 = 25 ( add 63 to both sides )

x² - 2x = 88

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 1)x + 1 = 88 + 1

(x - 1)² = 89 ( take square root of both sides )

x - 1 = ± [tex]\sqrt{89}[/tex] ( add 1 to both sides )

x = 1 ± [tex]\sqrt{89}[/tex]

 The combined amount of cats sold is 117.

Ratio expresses the relationship between two variables. It shows the frequency of which that one value is contained within another variable.

The ratio of  Siamese cats to house cats = 4 : 9

Number of Siamese cats = 36

Number of combined cats = c

This equation can be formed using the above information:

4/13 x c = 36

4c = 468

c = 468 / 4

c = 117

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