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3 years ago

The ratio of Kailyn's money to Nathan's money is 4:9. If Nathan has $45, how much do

Mathematics

1 answer:

natita [175]3 years ago

6 0

Answer:

Step-by-step explanation:

Step one:

we are told that the ratio of Kailyn's money to Nathan's money is

4:9,

Nathan has $45, let Kailyn's money be x

therefore

4/9=x/45

cross multiply we have

9x=45*4

9x=180

divide both sides by 9

x=180/9

x=20

Kailyn's money is $20

Together they have =20+45= $65

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Four and one-half minus three and five-eighths

Leni [432]

4 1/2-3 5/8=0.875 or 875/1000 or 35/40 or 7/8

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3 years ago

The hanger image below represents a balanced equation.

lbvjy [14]

Answer:

Step-by-step explanation:

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3 years ago

Item 11 Identify the independent and dependent variables. The equation c=0.09s gives the amount c (in dollars) of commission a s

diamong [38]

Answer:

C is dependent variable

S is independent variable

Step-by-step explanation:

Here, give the equation, we are told to identify the independent and the dependent variable

When we talk of the independent variable, it is that variable which values does not depend on whatever values the second variable in the equation has. It is that variable that is used to find the other variable in the equation

While the dependent variable depends on the values we input in the equation. It is the variable that we arrive at after plugging different values for the independent variable

now looking at the question, the equation we have is as follows;

c = 0.09s

To get the value of c which is the cost , we have to input different values of a. As is the amount in sales that we have that will yield the value of the commission to be received

Thus, we can categorically say that the values of the commission are dependent on the values we get from the sales

Hence, while commission represents the dependent variable, the values of the sales are the independent variables

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3 years ago

Rationalize the denominator of $\frac{5}{2+\sqrt{6}}$. The answer can be written as $\frac{A\sqrt{B}+C}{D}$, where $A$, $B$, $C$

horrorfan [7]

Answer:

$A +B+C+D = 3$ is the correct answer.

Step-by-step explanation:

Given:

$\frac{5}{2+\sqrt{6}}$

To find:

$A+B+C+D = ?$ if given term is written as following:

$\frac{A\sqrt{B}+C}{D}$

<u>Solution:</u>

We can see that the resulting expression does not contain anything under $\sqrt$ (square root) so we need to rationalize the denominator to remove the square root from denominator.

The rule to rationalize is:

Any term having square root term in the denominator, multiply and divide with the expression by changing the sign of square root term of the denominator.

Applying this rule to rationalize the given expression:

$\dfrac{5}{2+\sqrt{6}} \times \dfrac{2-\sqrt6}{2-\sqrt6}\\\Rightarrow \dfrac{5 \times (2-\sqrt6)}{(2+\sqrt{6}) \times (2-\sqrt6)} \\\Rightarrow \dfrac{10-5\sqrt6}{2^2-(\sqrt6)^2}\ \ \ \ \ (\because \bold{(a+b)(a-b)=a^2-b^2})\\\Rightarrow \dfrac{10-5\sqrt6}{4-6}\\\Rightarrow \dfrac{10-5\sqrt6}{-2}\\\Rightarrow \dfrac{-5\sqrt6+10}{-2}\\\Rightarrow \dfrac{5\sqrt6-10}{2}$

Comparing the above expression with:

$\frac{A\sqrt{B}+C}{D}$

A = 5, B = 6 (Not divisible by square of any prime)

C = -10

D = 2 (positive)

GCD of A, C and D is 1.

So, $A +B+C+D = 5+6-10+2 = \bold3$

5 0

3 years ago

Simplify -2 minus square root of 15 over 2

skad [1K]

The answer is -3.9364916731.

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2 years ago