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3 years ago

Simplify the rational expression . x^2+9x+20/x+7The quotient is , and the remainder is .

Mathematics

1 answer:

Fudgin [204]3 years ago

6 0

To simplify the rational expression, we are going to perform long division as you can see in the picture.

We can conclude that the quotient of the division is (x+2) and the remainder is 6.

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Water flows through a pipe at a rate of 91 fluid ounces every 2.5 weeks. Express this rate of flow in cups per hour. Round your

Ulleksa [173]

Answer:

Step-by-step explanation:

First, we convert:

ounces to cups
weeks to hours

Result of conversion:

91 fluid ounces = 11.375 cups (1 cup = 8 ounces)
2.5 weeks = 420 hours (1 week = 168 hours)

To get the rate, we must divide the number of cups by number of hours

11.375 cups / 420 hours = 0.027 cups per hour = 0.03 cups per hour (approximated)

Hope that helps!

7 0

3 years ago

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS

marishachu [46]

The answer is 2/5. 2*2=4 and 2*5= 10, 2*3=6 and 3*5=15

4 0

3 years ago

Question 17

RoseWind [281]

Answer:

Perpendicular

Step-by-step explanation:

Remember that:

Two lines are parallel if their slopes are the same.
Two lines are perpendicular is their slopes are negative reciprocals.
And two lines are neither (a.k.a intersecting) if they are neither parallel nor perpendicular.

So, let's find the slope of QR and ST.

QR)

We can use the slope formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Let Q(-6, 11) be (x₁, y₁) and R(2, -1) be (x₂, y₂). Substitute:

$m=\frac{-1-11}{2-(-6)}$

Subtract:

$m=-12/8=-3/2$

So, the slope of QR is -3/2.

ST)

Let S(-4, 8) be (x₁, y₁) and T(-1, 10) be (x₂, y₂). Substitute:

$m=\frac{10-8}{-1-(-4)}$

Subtract:

$m=2/3$

So, the slope of ST is 2/3.

The negative reciprocal of -3/2 is 2/3.

And the negative reciprocal of 2/3 is -3/2.

So, the slopes are indeed negative reciprocals of each other.

So, QR and ST are perpendicular.

7 0

3 years ago

Read 2 more answers

-11 - 5a = 6(5a + 4) but I really need it in mathematical form.

ella [17]

Answer:

Step-by-step explanation:

In this equation what is strange is probably using the letter a as the unknown, but this is a matter of choice we could have calle y or z for that matter. Then we will treat it ans any other equation and solve it.

-11 -5a = 6(5a+4)

-11 -5a= 30a + 24

-11 - 24 = 30a + 5a (placing the unknown a in the rght side and the numbers in the left to solve the equation)

- 35 = 35a

-35/35 = a

- 1= a

6 0

3 years ago

The first week of January there are 49 dogs and 28 cats in an animal shelter. Throughout the month the ratio of dogs to cats rem

Rudiy27

Answer:

Step-by-step explanation:

If the ratio of dogs to cats is 49:28, as an actual ratio (fraction), this is

$\frac{d}{c}:\frac{49}{28}$

We can reduce that to make the numbers smaller without changing the ratio. reducing gives us

$\frac{d}{c}:\frac{7}{4}$

We will use that ratio now to set up a proportion that involves a given number of cats and an unknown number of dogs. Keeping dogs on top and cats on bottom,

$\frac{d}{c}:\frac{7}{4}=\frac{x}{20}$

Cross multiply to get

4x = 140 so

x = 35

According to the ratio of dogs to cats, if there are 20 cats, there will be 35 dogs.

3 0

4 years ago