when 2(3/5 x + 2/3 y - 1/4 x -1 1/2 y + 3 )is simplified, what is the resulting expression?

Answers

Answer 1

Answer:

Simplifying  the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex] we get [tex]\mathbf{42x-100y-360}[/tex]

Step-by-step explanation:

We need to simplify the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex]

First we will solve terms inside the bracket

[tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex]

Converting mixed fraction [tex]1\frac{1}{2} y[/tex] into improper fraction, we get: [tex]\frac{3}{2}y[/tex]

Replacing the term:

[tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-\frac{3}{2}y +3)[/tex]

Now, taking LCM of: 5,3,4,2 we get 60

Now multiply 60 with each term inside the bracket

[tex]2(\frac{3}{5}x\times60+\frac{2}{3}y\times60-\frac{1}{4}x\times60-\frac{3}{2}y\times60 +3\times60)\\2(3x\times12+2y\times20-1x\times15-3x\times30-3\times60)\\2(36x+40y-15x-90y-180)[/tex]

Now, combine like terms

[tex]2(36x-15x-90y+40y-180)\\2(21x-50y-180)[/tex]

Now, multiply all terms with 2

[tex]42x-100y-360[/tex]

So, Simplifying  the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex] we get [tex]\mathbf{42x-100y-360}[/tex]


Related Questions

1. You have a CD account at local bank. Your opening
balance is $9000. The compound interest rate that bank is
paying you 0.70% annually.
A) What is the interest earned after 6 years?

Answers

Answer:

$378

Step-by-step explanation:

(9000 x 0.70%) * 6 = 378

Factor f(x) 3x^3-4x^2-28x-16 given that (x+2) is a factor

Answers

Step-by-step explanation:

3x³ - 4x² - 28x - 16

= (x + 2)(Ax² + Bx + C)

= Ax³ + (2A + B)x² + (2B + C)x + 2C.

By Comparing Coefficients, we have:

A = 3,2A + B = -4,2B + C = -28,2C = -16.

Solving them will give A = 3, B = -10 and C = -8.

Hence 3x³ - 4x² - 28x - 16

= (x + 2)(3x² - 10x - 8)

= (x + 2)(3x + 2)(x - 4).

The answer is f(x) = (x + 2)(3x + 2)(x - 4).

PLEASE HELP I WILL GIVE BRAINLIEST!! I NEED HELP FAST

Answers

Answer:

B=12/13

Step-by-step explanation:

Not positive, but i believe you are trying to find the angle measure using inverse sin or whatever its called and then reducing the fraction. SOHCAHTOA

If James measures 5 feet 4 inches tall, how tall is James in inches? Answer without units. plss help

Answers

Answer:

64

Step-by-step explanation:

he's 64 inches tall

- multiply 12 by 5, which is 60

- then add four, 60 + 4 = 64

The table shows the time Merrida spent driving and the number of miles she drove. She drove the same number of miles each hour.

Merrida’s Driving Time and Distance
Miles
Hours
140
4
175
5
210
6

How many miles did she travel each hour?
23 miles per hour
35 miles per hour
42 miles per hour
53 miles per hour

Answers

Answer:

35 miles per hour.

Step-by-step explanation:

140÷4=35

!75÷5=35

210÷6=35

Answer:

❌23 miles per hour

✅35 miles per hour

❌42 miles per hour

❌53 miles per hour

Go follow me on T I k T o k  aiyana_parker

What are the zeros of the function (x) = x2 – 3x+2?

Answers

Step-by-step explanation:

f(x) = x² - 3x + 2 = (x - 2)(x - 1).

When f(x) = 0, (x - 2)(x - 1) = 0.

=> x = 2 or x = 1.

the base of a parallelogram is 2
more than the height
The area of the parallelogram is 120yd^2, find the base and the height

Answers

Answer22:22

Step-by-step explanation:

Write a division number story with an answer of 3/5

Answers

Answer:

Tom had 5 friends with him at the beach.

John came by with out his shirt on, showing his muscles.

2 of Tom's friends left with John

What fraction of Tom's friends were left with Tom?

Step-by-step explanation:

Expression: Jacob shared 3 pizzas with four of the friends. And each of them get 3/5 pizzas.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Expression is 3/5.

To write a division number story with an answer of 3/5:

Jacob and his 4 friends went to pizza house.

That means, the total number of people = 5.

Jacob bought 3 pizzas and share with his friends.

So, each of them get 3/5 pizzas.

Therefore, required expression is, Jacob shared 3 pizzas with his 4 friends.

To learn more about the division;

brainly.com/question/13263114

#SPJ2

-9m - 4 = -7m + 6 solve for m

Answers

Answer:

m = -5

Step-by-step explanation:

What is the minimum, First Quartile (Q1), Median, Third Quartile, Maximum for 5,6,8,8,9,10,13,14,16,16,16,18,19, 21,22,23,25 of the data set?

Answers

The answer above should be correct, I believe it is , but can you please mark me BRAINLEST?

please help im crying

Answers

Ok I gotcha I’ll let

Answer:

length=91

width=2

Step-by-step explanation:

182/2=91

91*2=182

write an equation of the line and interpret the slope ​

Answers

Answer:

Step-by-step explanation:

Slope of this line will be= m= (600-200)/(1-5)

m = 400/-4 = -100

Eq of line will be:

(y-y1)=m(x-x1)

y-200=-100(x-5)

y-200+100x-500=0

100x+y-700 = 0

To write equation in slope-intercept form

y=mx+c

just seperate "y"

y=-100x+700

Hey there!

The answer to your question is [tex]y = -100x + 500[/tex]

To write this equation in slope-intercept form, first we must figure out the slope. We can do this using the formula

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]:

[tex]\frac{200-600}{5-1}[/tex]

[tex]\frac{-400}{4}[/tex]

[tex]-100[/tex]

Now, we have part of the equation: y = -100x + b. We have to find b, and we can do so by plugging in one of the points into the equation, like so:

[tex]600 = -100(1) + b[/tex]

[tex]600 = -100 + b[/tex]

[tex]500 = b[/tex]

Now, we have our equation:[tex]y = -100x + 500[/tex]

Hope it helps and have an amazing day!

Help please due now!

Answers

Answer:

90

Step-by-step explanation:

x•y-z²

x=9,y=14,z=6

9 • 14 - 6²

126-36=90

What's the value of w and x

Answers

Answer:

Both A and B

Step-by-step explanation:

sum of opposite interior angles is equal to the exterior angle.

Bozena is an ecologist who studies the change in the tiger population of Siberia over time. The relationship between the elapsed time t tt, in years, since Bozena started studying the population, and the number of tigers, N ( t ) N(t)N, left parenthesis, t, right parenthesis, is modeled by the following function: N(t)=537⋅(0.35)t2 Complete the following sentence about the rate of change in the tiger population. The population of tigers loses 65 % 65%65, percent of its size every years.

Answers

Answer:

every 2 years

Step-by-step explanation:

since it is t/2 for the exponent - thas the answer on khan

The rate of change in the population of the Siberian tigers loses 65% every two years.

What is an exponent?

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

Bozena is an ecologist who studies the change in the tiger population of Siberia over time. The relationship between the elapsed time t, in years, since Bozena started studying the population, and the number of tigers, N(t), is modeled by the following function:

[tex]\rm N(t)=537\times (0.35)^{t/2}[/tex]

Then it is clear that the population of the Siberian tigers loses 65% of its size every two years.

More about the exponent link is given below.

https://brainly.com/question/5497425

#SPJ2

While you were at school you hear two students talking about an online business that pays a
piecework rate of $0.02 for stuffing envelopes. One of them says that he was able to stuff 4,382
envelopes during the week. How much was the student's gross pay rounded to the nearest
cent? Do not include a dollar sign in your answer. I got 8.764, is this answer correct ?

Answers

No 87.64 is the correct answer

One week, Paige earned $165.75 at her job when she worked for 13 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $318.75?

Answers

Answer: 25 hours

Step-by-step explanation:

From the question, we are informed that Paige earned $165.75 at her job when she worked for 13 hours. This means that her hourly rate will be:

= $165.75 / 13

= $12.75.

The number of hours that she would have to work the next week to earn $318.75 will be:

= $318.75 / $12.75

= 25 hours

I need help on question a and b. please help me asap?!?!?

Answers

It isn’t possible to draw a graph on here

What's the answers to Part A and Part B?​

Answers

Answer:

there's nothing there

Step-by-step explanation:

2. (7.3B)Gwen has $29.00. If she buys 2 shortcakes at $3.99 each and 7 pounds of strawberries
for $7.67 from the grocery store, how much money will Gwen have left in dollars and cents ?
A) $14.00
B) $32.99
C) $20.50
D) $13.35

Answers

Answer:

d. $13.35

Step-by-step explanation:

subtract

i am so sorry if this is wrong! hope this helps:)

The graph of h(x)=|x-10|+6 is shown on whitch interval is the graph increasing

Answers

D is the correct answer
it might be d... not sure whatsoever. have a good day!!

The temperature was 75° Fahrenheit. The temperature dropped at a rate of 10° per hour.
What was the temperature in degrees 8 hours later?

Answers

Answer:

-5 degrees

Step-by-step explanation:

you started at 75 degrees. it dropped at a rate of 10 degrees per hour. It's been eight hours. 8 times 10 equals 80. It dropped a total of 80 degrees. the starting 75 degrees minus the current 80 degrees equals -5 degrees.

which term is related to electromagnetism applies only to the magnetic force
a. non-contact
b. poles
c. protons
d. attraction
HELP quick i am on a timed test!

Answers

which term is related to electromagnetism applies only to the magnetic force?

A. non-contact

B. poles

C. protons

D. attraction

ANSWER:

B.Poles is related to electromagnetism applies only to the magnetic force

HopeItHelps you

y = –2x2 + 8x - 3
help :c

Answers

Answer:

8x-7

Step-by-step explanation:

-4+8x-3

8x-4-3

8x-7

Sushil and Fiona win some money and share it in the ratio 4:1. Sushil gets £33 more than
Fiona. How much did they get altogether?

Answers

Sushli 4x
Fiona x
Sushli x+33
X+33=4x
3x=33
x=11

x+4x=5x=£55

Help me out please an thank you

Answers

This answer is the third choice, C

Graph

y−2=23(x+4)


I don’t no how to graph so plz help me

Answers

Answer: This file i added shows the graph. If it doesnt help, then you can use M.a.th w.a.y to find the graph

Step-by-step explanation:

In the graph of an inequality, the region to the right of a dashed vertical line
through the point
(-4,0) is shaded. What inequality does the graph represent?

Answers

Answer:

x is greater than -4

Step-by-step explanation:

Answer:

x > -4

Step-by-step explanation:

1. Q1) Which number is missing from this prime factor
tree?

Answers

Answer:

2

Step-by-step explanation:

16

2x8

2x4

2x2

Sam went to see a movie that started at 5:05 PM.
The movie lasted 2 hours and 40 minutes.
What time did the movie end?

Answers

The Answer Is 8:30 I Hope This Helps
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