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3 years ago

6

A grocery store has 5 pounds of granola. One customer buys 2/3 pound of granola and another buys 5/6 pound. After these purchase

s, how much granola is left?

1 answer:

Allushta [10]3 years ago

7 0

There are .55 pounds left.

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HELP!!!<br><br><br> -1/2(b-6)=5

notsponge [240]

Answer:

<h2>b=-4</h2>

Step-by-step explanation:

<h3>-1/2b+3=5</h3><h3>-1/2=5-3</h3><h3> -1/2b=2×-2</h3><h2> b=-4</h2>

5 0

2 years ago

Solving Rational Functions Hello I'm posting again because I really need help on this any help is appreciated!!

Greeley [361]

Answer:

x = √17 and x = -√17

Step-by-step explanation:

We have the equation:

$\frac{3}{x + 4} - \frac{1}{x + 3} = \frac{x + 9}{(x^2 + 7x + 12)}$

To solve this we need to remove the denominators.

Then we can first multiply both sides by (x + 4) to get:

$\frac{3*(x + 4)}{x + 4} - \frac{(x + 4)}{x + 3} = \frac{(x + 9)*(x + 4)}{(x^2 + 7x + 12)}$

$3 - \frac{(x + 4)}{x + 3} = \frac{(x + 9)*(x + 4)}{(x^2 + 7x + 12)}$

Now we can multiply both sides by (x + 3)

$3*(x + 3) - \frac{(x + 4)*(x+3)}{x + 3} = \frac{(x + 9)*(x + 4)*(x+3)}{(x^2 + 7x + 12)}$

$3*(x + 3) - (x + 4) = \frac{(x + 9)*(x + 4)*(x+3)}{(x^2 + 7x + 12)}$

$(2*x + 5) = \frac{(x + 9)*(x + 4)*(x+3)}{(x^2 + 7x + 12)}$

Now we can multiply both sides by (x^2 + 7*x + 12)

$(2*x + 5)*(x^2 + 7x + 12) = \frac{(x + 9)*(x + 4)*(x+3)}{(x^2 + 7x + 12)}*(x^2 + 7x + 12)$

$(2*x + 5)*(x^2 + 7x + 12) = (x + 9)*(x + 4)*(x+3)$

Now we need to solve this:

we will get

$2*x^3 + 19*x^2 + 59*x + 60 = (x^2 + 13*x + 3)*(x + 3)$

$2*x^3 + 19*x^2 + 59*x + 60 = x^3 + 16*x^2 + 42*x + 9$

Then we get:

$2*x^3 + 19*x^2 + 59*x + 60 - ( x^3 + 16*x^2 + 42*x + 9) = 0$

$x^3 + 3x^2 + 17*x + 51 = 0$

So now we only need to solve this.

We can see that the constant is 51.

Then one root will be a factor of 51.

The factors of -51 are:

-3 and -17

Let's try -3

p( -3) = (-3)^3 + 3*(-3)^2 + +17*(-3) + 51 = 0

Then x = -3 is one solution of the equation.

But if we look at the original equation, x = -3 will lead to a zero in one denominator, then this solution can be ignored.

This means that we can take a factor (x + 3) out, so we can rewrite our equation as:

$x^3 + 3x^2 + 17*x + 51 = (x + 3)*(x^2 + 17) = 0$

The other two solutions are when the other term is equal to zero.

Then the other two solutions are given by:

x = ±√17

And neither of these have problems in the denominators, so we can conclude that the solutions are:

x = √17 and x = -√17

6 0

2 years ago

Sara is 6 years older than max in 3 years she’ll be 1 1/2 of max’s age . how old is max ?

Andrews [41]

S = m+6
(s + 3) = (m + 3)1.5
When solved m=9 and s=15
When plugged in it works.
So max is 9 years old

4 0

3 years ago

Find the value of X. Round the length to the nearest tenth.

Nataliya [291]

Answer:

5.5 yd

Step-by-step explanation:

The angle opposite to x is 20°

Reason: Alternate interior angles are equal

$\frac{x}{15}$ = tan 20°

x = 15 × tan 20° = 5.459553514 yd

That is 5.5 yd (answer rounded off to nearest tenth).

3 0

3 years ago

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A list of the entire population is called a(n):

Nesterboy [21]

Answer: C

Step-by-step explanation:

3 0

3 years ago

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