To simplify divide each polynomial by a number (you may need to factor the numerator and or denominator to find the common term)

1. 48x + 32y/32
2. 9a-15b/12
3. 6b+24c/18
4. 25a+5b+15c/10

show each step and break down

Answers

Answer 1

Answer:

The polynomial is simplified to [tex]\frac{3x+2y}{2}[/tex],[tex]\frac{3a-5b}{4}[/tex],[tex]\frac{b+4 c}{3}[/tex],[tex]\frac{5a+b+3c}{2}[/tex]

Step-by-step explanation:

Step 1 of 4

[tex]\frac{48x+32y}{32}[/tex]

[tex]=\frac{16\left(3x+2y\right)}{32}[/tex]

[tex]=\frac{16\left(3x+2y\right)}{16\cdot \:2}[/tex]

[tex]=\frac{3x+2y}{2}[/tex]

Step 2 of 4

[tex]\frac{9a-15b}{12}[/tex]

[tex]=\frac{3\left(3a-5b\right)}{12}[/tex]

[tex]=\frac{3\left(3a-5b\right)}{3\cdot \:4}[/tex]

[tex]=\frac{3a-5b}{4}[/tex]

Step 3 of 4

[tex]\frac{6b+24c}{18}[/tex]

[tex]=\frac{6\left(b+4c\right)}{18}[/tex]

[tex]=\frac{6\left(b+4c\right)}{6\cdot \:3}[/tex]

[tex]=\frac{b+4c}{3}[/tex]

Step 4 of 4

[tex]\frac{25a+5b+15c}{10}[/tex]

[tex]=\frac{5\left(5a+b+3c\right)}{10}[/tex]

[tex]=\frac{5\left(5a+b+3c\right)}{5\cdot \:2}[/tex]

[tex]=\frac{5a+b+3c}{2}[/tex]

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Related Questions

a fair six sided die is rolled find the probability of getting a 2

Answers

Answer:

1/6

Step-by-step explanation:

Josephine enlarged a picture using a photocopier the original photo was 3.5 inches by 5 inches the copy was 8.5 by 12.5 inches . What is the scale factor of the dilation?

Answers

Answer:

the answer is 1 : 2.4 because for every 1 inch on the original image there are 2.4 inches on the modified image.

Step-by-step explanation:

Step 1:

Measure the change in X and Y of a single length of the original image.

X1 = 3.5

Y1 = 5

Step 2:

Measure the change in X and Y of the same length on the modified image.

X2 = 8.5

Y2 = 12.5

Step 3:

use formula SF = X2/X1 = Y2/Y1

(SF = Scale Factor Dilation)

(X2 and Y2 = change in X and Y of the same length on the modified image.)

(X1 and Y1 = change in X and Y of a single length of the original image.)

X2 = 8.5

8.5/X1

X1 = 3.5

8.5/3.5

8.5/3.5 = 2.4

2.4

1 : 2.4

Which of the following are characteristics of a descriptive statistical study? Select all that apply.

Answers

Answer:

you have not given full question.. so please try again.

may this will help you :

Descriptive statistics summarizes or describes the characteristics of a data set. Descriptive statistics consists of two basic categories of measures: measures of central tendency and measures of variability (or spread). Measures of central tendency describe the center of a data set.

What is 1.7¯ expressed as a fraction in simplest form?

Answers

16/9.................

Answer:

16/9

Step-by-step explanation:

A farmer notes that in a field full of horses and geese there are 30 heads and 84 feet. How many of each animal are there?

Answers

Answer:

There are 12 horses and 18 geese.

Step-by-step explanation:

We are given that in a field full of horses and geese, a farmer notes that there are 30 heads and 84 feet.

We can write a system of equations using the given information.

Let the amount of horses there are be represented by h and geese by g.

Assuming each horse and geese has only one head, we can write that:

[tex]\displaystyle h + g= 30[/tex]

And assuming that each horse has four feet and each geese has two feet, we can write that:

[tex]4h + 2g = 84[/tex]

This yields a system of equations:

[tex]\displaystyle \left\{\begin{array}{l} h + g = 30 \\ 4h + 2g = 84 \end{array}[/tex]

We can solve it using substitution. From the first equation, isolate either variable:

[tex]g = 30 - h[/tex]

From the second, we can first divide by two:

[tex]2h + g = 42[/tex]

And substitute:

[tex]2h + (30 - h) = 42[/tex]

Combine like terms:

[tex]h + 30 = 42[/tex]

Subtract:

[tex]h = 12[/tex]

Therefore, there are 12 horses.

And since the total number of animals is 30, there must be 30 - 12 or 18 geese.

In conclusion, there are 12 horses and 18 geese.

Cindy had $100 in her savings account. The bank accidentally charged her a $30 service fee. How much money does that leave her with as a balance? *

Answers

Answer:

$70

Step-by-step explanation:

Find how much money she has left by subtracting 30 from 100:

100 - 30

= 70

So, she has $70 left in her balance.

Guided Practice


Find the balance in the account.


$500 principal earning 4% compounded quarterly, after 6 years.


A.
$632.66


B.
$530.76


C.
$634.87

Answers

Answer:

C.

$634.87

Step-by-step explanation:

A=500×(1+0.04÷4)^(4×6)

A=634.87

solve for x of the given angle ​

Answers

Answer:

m<ABC = 92

Step-by-step explanation:

(3x + 23) and 4x are equal angle wise. So we have the equation:

(3x + 23) = 4x

3x = 4x - 23

-x = -23

x = 23

Multiply x by 4 which is 92

Sue went to the store and bought 20 fish for $45, how many neon fish did she buy if the angel fish cost $3 and the neon fish cost $2?

Answers

Answer:

1 fish

Step-by-step explanation:

because it gaysjsjdjd

plz plz help fast no trolls plz thx​

Answers

2/6 or 1/3 is the answer

brainiest to whoever is right there

Answers

Answer:

If we divide 360 degree into four parts the all four parts hold 90 degree and the degree of angle DMB= 60.

60 degree.


Simplify: (5x² – 3x + 7x) + (9x² + 2x² + 7x)
O 14x2 – x2 + 14x
O 14x2 + 13x
O 16x4 + x3
O 16x2 + 11x
O 16x2 – 11x

Answers

Answer:

16x^2+11x

Step-by-step explanation:

(5x² – 3x + 7x) + (9x² + 2x² + 7x)

Combine like terms

5x^2+9x^2+2x^2-3x+7x+7x

16x^2+11x

Checkered Cab Taxi charges a $ 5.95 flat rate for a ride in the cab. In addition to that, they charge $ 0.25 per mile. Katie has no more than $ 20 to spend on a ride. At most, how many miles can Katie travel without exceeding her spending limit?

Answers

Answer: 56.2 miles

Step-by-step explanation:

5.95+0-25x less or equal 20

0.25x less or equal 20 - 5.95

0.25x less or equal 14.05

X less or equal 14.05/0.25

X = 56.2

Katie can travel at most 56.2 miles in $20.

What is inequality?

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions is called inequality.

According to the given question.

The total money Katie have = $20.

Amount charged by cab taxi for ride = $5.95

Charges for per mile ride = $0.25

Let Katie travel x miles without exceeding her expending limit.

From the given condition we get a inequality

[tex]20\geq 5.95+0.25x[/tex]

Solve the above inequality for x.

⇒[tex]20 - 5.95\geq 0.25x[/tex]

⇒ [tex]14.05\geq 0.25x[/tex]

⇒[tex]x\leq \frac{14.05}{0.25}[/tex]

⇒[tex]x\leq 56.2miles[/tex]

Katie can travel at most 56.2 miles in $20.

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Multiply: 1/2 x 1 315 x 2 719 =
mo

Answers

Answer:

the answer is 1787742.5

Step-by-step explanation:

this is usually a calculator question so use a calculator and put 1/2 ×1315×2719

which of the following shows 2.1851 rounded to the nearest hundredth?

A. 2.18
B. 2.185
C. 2.19
D. 2.2

Answers

Answer:

C. 2.19

Step-by-step explanation:

Please help!! Will give brainlist is answer right

Answers

Answer:

A

Step-by-step explanation:

Determine the perimeter of the shape to the nearest centimeter. (Picture included)

Answers

Answer:

44 cm

Step-by-step explanation:

So we know that the bottom 12 is congruent to to the line at the top, so that is also 12. And the 5 is congruent to the other 3 lines with one hash mark going through it. So perimeter is the sum of all the side lengths on a polygon. So we have 12+12+5+5+5+5=44.

Hope this helps! :D

The Willis Door company gave its employees
bonuses. Six employees received a bonus of $940
each; 4 employees received a bonus of $820 each;
5 employees were paid a bonus of $1150 each.
What was the average bonus paid to these
employees?

Answers

Answer:

The answer is $194

Step-by-step explanation:

PLEASE HELP

-10+7/4p=-38

Show your work in details if you can, I have a hard time understanding this.

Answers

Answer:

Here is your answer . Hope it helps you

Answer:

p = -49

Step-by-step explanation:

-10 + 7/4p = -38

+7/4 p = -38 + 10. ..........(-10 taken to other side)

+7/4 p = -28

p = -28 × 7/4 ........( now taken 7/4 to other side)

p = -196/4 .......(here we have multiplied . (-28×7 )

p = -196/4

p = -49

so p = -49

MARK AS BRAINLIST IF IT IS USEFUL

How would I write 15 less than the product of two and k is 15 as an equation?

Answers

Answer:

2k-15=15

Step-by-step explanation:

product if 2 and k is 2k

15 less than 2k is 2k-15

15<(2xk)

k = 15

2x15=30

15<30

hope this helps :)

evaluate the expression when b = 4 and y = -6.

-b + 5y

Answers

Answer:

Answer = -34

Step-by-step explanation:

B = 4 ; y = -6

So,

-4 + (5) (−6)

= −4 + −30

= −34

Hope you get it :)

The value of expression will be;

⇒ - 34

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ - b + 5y

And, The values are,

⇒ b = 4, y = - 6

Now,

Since, The expression is,

⇒ - b + 5y

Substitute  b = 4, y = - 6, we get;

⇒ - 4 + 5 × - 6

⇒ - 4 - 30

⇒ - 34

Thus, The value of expression is,

⇒ - 34

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Which equation is represented by the graph?

Answers

Answer:

The choose D. y=|x|–1

Your choice is right

I hope I helped you^_^

brainiest to whoever right

Answers

Answer:

Step-by-step explanation:

DC=2-0=2

Or

DC=√[(2-0)²+(-2-(-2))²]=√[4+(-2+2)²]=√4=2

BC=(0-(-2))=2

Or

BC=√[(2-2)²+(-2-0)²]

=√[0+4]

=2

AB=√[(2-0)²+(0-4)²]

=√[4+16]

=√20

=2√5

Perimeter=2[DC+BC+AB]

=2[2+2+2√5]

=2[4+2√5]

=8+4√5 Units

8. In the 24-hour clock system, midnight is written as ____.​

Answers

In the 24-hour clock system, midnight is written as _0h_

Answer:

00:00

Step-by-step explanation:

y = x² + 7x - 5 Can be written in the form y = ( x + a )² + b. Find the value of a and the value of b.

Answers

Answer:

[tex]a=\dfrac{7}{2} \\\\b=\dfrac{49}{4} \\[/tex]

Step-by-step explanation:

[tex]y=x^2+7x-5\\\\=x^2+2*\dfrac{7}{2}*x +\dfrac{49}{4} -\dfrac{49}{4} -\dfrac{20}{4} \\\\=(x+\dfrac{7}{2} )^2+\dfrac{69}{4} \\\\a=\dfrac{7}{2} \\\\b=\dfrac{49}{4} \\[/tex]

The formula d=rt is used to calculate the distance traveled by an object moving at a constant average speed during an elapsed time . How long would it take a pilot to fly 1240 miles at an average speed of 220 mph?

Answers

Answer:

Approx 5.64 hours

Step-by-step explanation:

d=rt

t=d/r

To find the time, divide distance by velocity

1240 / 220 = approx 5.64 hours

The formula for determining the pressure, p, exerted on an object at a depth, h, below the surface of a liquid is p = s + dgh, where s is the atmospheric pressure, d is the density of the liquid, and g is the acceleration due to gravity.

(Pls Explain the Answer in simple terms)

Answers

Answer:

The formula for determining the pressure, p, exerted on an object at a depth, h, below the surface of a liquid is p = s + dgh

[tex]p(pressure) = s(atmospheric \: pressure) + d(density \: of \: the \: liquid)g(acceleration \: due \: to \: gravity)h[/tex]

Step-by-step explanation:

where s is the atmospheric pressure, d is the density of the liquid and g is the acceleration due to gravity.

what is 3.6 times 0.05. equal

Answers

Step-by-step explanation

Then you count how many numbers are after the decimal point(6,0,0,5) making 4. So the decimal point will be inserted by counting 4 spaces from the back.

0.111111.... a rational or irrational number​

Answers

0.111111… is a rational number because it can be represented as a fraction: 1/9
It is simply a non-terminating/repeating decimal

I hope this helps :)

What is the decimal equivalent for a centimeter?

Answers

the answer is 0.1 an inch is 1 so a centimeter is 0.1
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