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2 years ago

What is the answer to the equation r+5/6=-3 1/6

Mathematics

1 answer:

Reika [66]2 years ago

5 0

The answer should be 2 and 1/3

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Three consecutive whole numbers are such that if they be divided by 5,3 and 4 respectively, the sum of the quotient is 40. What

Alja [10]

$\dfrac{x}{5}+\dfrac{x+1}{3}+\dfrac{x+2}{4}=40\\
12x+20(x+1)+15(x+2)=2400\\
12x+20x+20+15x+30=2400\\
47x=2350\\
x=50\\
x+1=51\\
x+2=52$

Then umbers are 50,51,52

4 0

2 years ago

Which of the following is an extraneous solution of (45-3x)^1/2=x-9?

Iteru [2.4K]

Answer:

C. x =3

Step-by-step explanation:

Extraneous solution is that root of a transformed equation that doesn't satisfy the equation in it's original form because it was excluded from the domain of the original equation.

Let's solve the equation first

$\sqrt{45-3x} = x-9\\Taking\ square\ on\ both\ sides\\{(\sqrt{45-3x})}^2 = {(x-9)}^2\\45-3x = x^2-18x+81\\0 = x^2-18x+81-45+3x\\x^2-15x+36 = 0\\x^2-12x-3x+36 = 0\\x(x-12)-3(x-12) = 0\\(x-3)(x-12)\\x-3 = 0\\=> x =3\\x-12 = 0\\x = 12\\We\ will\ check\ the\ solutions\ one\ by\ one\\So,\\for\ x=3\\\sqrt{45-3(3)} = 3-9\\\sqrt{45-9} = -6\\\sqrt{36}= -6\\6\neq -6\\For x=12\\\sqrt{45-3(12)} = 12-9\\\sqrt{45-36} = 6\\\sqrt{36}= 6\\6=6$

Hence, we can conclude that x=3 is an extraneous solution of the equation ..

3 0

3 years ago

The curve with equation y = x - 3x + 1 is reflected in the x-axis.

ankoles [38]

Answer:

Step-by-step explanation:

7 0

3 years ago

What is the slope of the line represented by the equation y=-<br> 5x?<br> 0-5<br> or w/N wind<br> 5

Alexandra [31]

Answer:

the slope would be -5

Step-by-step explanation:

in linear equations, the slope of the line is the coefficient of x

so in this case, it is -5

5 0

3 years ago

Identify the type of savings fund that is best suited for each situation,

Snezhnost [94]

Answer:

Step-by-step explanation:

1. Sinking Fund: Expenses like these are predictable. You know exactly when they’re going to come due, and you know at least approximately how much they’re going to cost"

So we have: down payment for a car, saving to start a business, saving for a college education

2. Rainy-Day Fund: unexpected expense you have to pay,

So we have: plumbing expenses, paying to fix a broken air conditioner, unexpected travel expense, plumbing expenses

4 0

2 years ago