Solve the equation 0.3j-(0.1j-3) + 0.1 = 2 (j+0.1) + 0.2 for j.
Write your answer as a decimal.

Answers

Answer 1

Answer:

  j = 1.5

Step-by-step explanation:

You want to solve the equation 0.3j-(0.1j-3) + 0.1 = 2 (j+0.1) + 0.2 for the value of j.

Simplify

It usually works well to simplify such an equation as the first step. That means eliminating parentheses and combining like terms.

  0.3j-(0.1j-3) + 0.1 = 2 (j+0.1) + 0.2 . . . . . . given

  0.3j -0.1j +3 +0.1 = 2j +0.2 +0.2 . . . . . . eliminate parentheses

  0.2j +3.1 = 2j +0.4 . . . . . . . . . . . . collect terms

Solution

  2.7 = 1.8j . . . . . . . . . . . subtract (0.2j +0.4)

  1.5 = j . . . . . . . . . divide by 1.8

The solution is j = 1.5.

__

Additional comment

You are often taught to solve this kind of 3-step equation by subtracting the unwanted variable term and the unwanted constant term in two steps. (The third step is dividing by the coefficient of the variable.) Here, we show those subtractions being done both at once.

The variable term we choose to subtract is the one with the smallest coefficient. That way, the result of the subtraction (1.8j) leaves the coefficient of the variable as a positive number.

Sometimes the variable term on the right is subtracted, so you end up with a "j = " equation. In that case, the equation you would be solving as the last step is ...

  -1.8j = -2.7

which requires arithmetic with negative numbers. Negative numbers tend to be associated with more mistakes, so we choose not to go there.


Related Questions

[tex](9x2-2x+1)-(3x2+5x-8)[/tex]

Answers

Answer:

(6x² - 7x + 9)

Step-by-step explanation:

Given:

(9x² - 2x + 1) - (3x² + 5x - 8)

Find:

Value of equation

Computation:

(9x² - 2x + 1) - (3x² + 5x - 8)

(9x² - 2x + 1 - 3x² - 5x + 8)

(6x² - 7x + 9)

Pls help fast!!
Andrew is buying a new bike. The bike shop is having a special discount of 25% off all bikes. The bike Andrew wants usually sells for $550. What will be the final
price of the bike, including 6% sales tax? Be sure to write all answers to the nearest hundredth.
Discount Amount:
Tax Amount:
Final price:

Answers

the final price is $437.25

25%=0.25
1-0.25=0.75
550x0.75=412.5
6%=0.06
412.5x1.06=437.25$

Write the equation of the line that passes through the points (-4,8) and (-2, -1).
Put your answěr in fully reduced point-slope form, unless it is a vertical or horizontal
line.PLEASEEE HELPPP MEE

Answers

Answer:

y=-9/2x-10

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-8)/(-2-(-4))

m=-9/(-2+4)

m=-9/2

y-y1=m(x-x1)

y-8=-9/2(x-(-4))

y-8=-9/2(x+4)

y=-9/2x-36/2+8

y=-9/2x-18+8

y=-9/2x-10

10 points
8. The ring system around Saturn has a diameter of 170,000 miles. Find
the circumference around the ring system, to the nearest whole number.
If Saturn diameter is 72,367 miles. What is the area of Saturn to the
nearest Whole number? *

Answers

Kfkfkkfkdkdkdkkd24.006

white chocolate costs $2.00 per bar, and dark chocolate costs $2.50 per bar. If you buy 15 bars of chocolate for $34, how many of each bar did you buy?

Answers

Answer:

7 white and 8 dark bars

Step-by-step explanation:

x white bars

15-x dark bars

cost of white bars is 2 * x

cost of dark bars is 2,5 * (15-x)

Write an equation

2x + 2,5 * (15-x) = 34

2x + 37,5 - 2,5x = 34

-0,5 x = - 3,5

x = 7

So we have x = 7 white bars

and 15 - x = 15 - 7 = 8 dark bars

The system of equations y=-3x+2 and y=1/2x-6 is shown on the graph below

Answers

Answer:

Step-by-step explanation:

What's the question?

helppppppppppppppppppppppppp

Answers

Answer:

The value of f(2) is -9.

Step-by-step explanation:

You look for the x axis and count 2, then go down until you reach the line.

Plz mark me as Brainliest plz

A 1kg book is lifted 2m. How much work was done?

Answers

Answer:

work= force ×distance

force= mass × acceleration due to gravity

mass= 1kg

acceleration=10

Force=1×10=10N

Work=10×2=20joules

The  work done is 20 joule.

What is Work done?

It should be converted to energy in order to move an object. Energy can be transferred by the use of force. Work done refers to the amount of energy used by a force to move an object.

Given:

mass, m= 1 Kg

So, force = mg = 1 x 10 = 10 N

and, displacement = 2m

Now, work done= force x displacement

                           = 10 x 2

                           = 20 Joules.

Hence, the work done is 20 joule.

Learn more about work done here:

https://brainly.com/question/13662169

#SPJ2

On Monday, the baker makes 35 blueberry muffins.
What is the total number of muffins that the baker makes on Monday?

Answers

Answer:

We don't know

Step-by-step explanation:

enWe know that the baker makes 35 BLUEBERRY muffins BUT we do not know how many OTHER muffins he makes. If he just has blueberry, then he would be making 35.

Hope this helps! Have a great day :)

The graph shows the number of each size T-shirt a store currently has in stock. Which statements are true?

Choose exactly two answers that are correct.

Question 3 options:

The ratio of large to small T-shirts is about 4 to 1.

There are more than 35 small and extra small T-shirts.

There are about twice as many large T-shirts as small T-shirts.

There are fewer than 100 T-shirts in all.

Answers

Answer:

medium, extra large

Step-by-step explanation:

BRAINLIEST PLEASE

there are fewer then 100 t shirts
the ration of large to small tshirts is about 4 to 1
they are both correct

THIS IS GEOMETRY I ONLY ahve 10 MINUTES PLEASE HELP THANK U

Answers

Answer:

i need a photo or an equation TvT

Step-by-step explanation:

TvT TvT TvT

There’s not question thought :/

Does anyone know if I did this right?? Please help me

Answers

Answer:

you did this right

Step-by-step explanation:

how many solutions 9x +2y =9 -3x + y=2

Answers

Answer:

4

Step-by-step explanatio

Answer: 4

Step-by-step explanation:

jiubpuunuibu

HELP FOR BRAINLIEST + 5 STAR RATING + THANKS
what exactly is standard deviation? and pls gimme an example

Answers

Answer:

The standard deviation is the average amount of variability in your data set. It tells you, on average, how far each score lies from the mean.

The standard deviation measures the spread of the data about the mean value. It is useful in comparing sets of data which may have the same mean but a different range. For example, the mean of the following two is the same: 15, 15, 15, 14, 16 and 2, 7, 14, 22, 30. However, the second is clearly more spread out.

Step-by-step explanation:

9*10^7 is how many times as large as 3*10^-2

Answers

3000000000 Times, sorry if it’s wrong

What is the volume of this?

Answers

Answer:

1728 m³

Step-by-step explanation:

[tex]A_{triangle}[/tex] = [tex]\frac{7.2*4.8}{2}[/tex] = 172.8 m²

V = 172.8 × 10 = 1728 m³

Ms. Mathews wants to put a fence around the north, south and east sides if her square garden. The garden has an area of 100ft2. How much fencing does she need?

Answers

Answer:

30 feet

Step-by-step explanation:

3 sides of x feet each

area=x^2=100

x=10

10 x 3 = 30 feet

Help me please :( I’m going to get beat if I don’t do these topics it’s finding the angles measures given two parallel lines

Answers

I think both of the answers are 38 because if you take it’s a supplementary angle eight equals 180 so one +2 equals 180 so if Angle measurement one equals 142 you take 80 and subtract it from 142 and you get 38 angle measurement seven is 142 and this is because it’s over 90° and it’s a bigger angle than eight is so yeah she would be 38 for both

1) John spent $36 to buy 4 basketballs. What was the price per basketball?

Answers

$9
36 divided by 4 is 9

A dealer of electric oven sold an induction heatet at Rs.4,200 with 13% VAT to a retailer. The retailer added transportation cost of Rs.250, profit 15% and local tax Rs.150 and sold to a costumer. How much will be paid for that heater if he/she has to pay 13% VAT​

Answers

Answer:

$6,619.42.

Step-by-step explanation:

Since a dealer of electric oven sold an induction heater at Rs. 4,200 with 13% VAT to a retailer, and the retailer added transportation cost of Rs. 250, profit 15% and local tax Rs. 150 and sold it to a costumer, To determine how much will be paid for that heater if the consumer has to pay 13% VAT, the following calculation must be performed:

((4,200 x 1.13) x 1.15 + 250 + 150) x 1.13 = X

((4,746 x 1.15) + 250 + 150) x 1.13 = X

(5,457.9 + 400) x 1.13 = X

5,857.9 x 1.13 = X

6,619.42 = X

Thus, the price to be paid by the consumer will be $ 6,619.42.

A cube has edges measuring 6 inches each. What is the volume of the cube?

Answers

Answer:

6*6*6 = 216

Step-by-step explanation:

If each edge is six inches the volume of the cube will be 216 cubic inches. The edges of cube are six inches long what is the volume? 6*6*6 = 216

Myra is planning to purchase a recliner that costs 1,490 .the installment plan offered at the furniture store requires a 12% down payment and 20 monthly payments of $71 each .

Answers

Answer:

what is the question?

Step-by-step explanation:

Answer:

okay

Step-by-step explanation:

but whats the question tho u gave us the info so whats the question

reflect...........................................

Answers

Answer:

F ( -1,4)

E (-1,2)

G (-4,5)

Step-by-step explanation:

Answer:

on what

.....................

cual es el resultado de -4+5/3​

Answers

Answer:

English translate so i can help you ? :)

Step-by-step explanation:

Find the roots of the equation: f(x)=64x2+6=31

Answers

Answer:

5/8, -5/8

Step-by-step explanation:

64x^2 = 25

divide both sides by 64

x^2 = 25/64

take the square root of both sides, and the negative square roots

Answer:

x = 5/8=0.625 and x = -5/8=−0.625

Step-by-step explanation:

f(x)=64x^2+6=31

Subtract 6 from both sides.

64x^2+6=31

Subtract 6 from 31 to get 25.

64x^2=25

Divide both sides by 64.

x^2=25/64

Take the square root of both sides of the equation.

x=5/8=0.625

x=-5/8=−0.625

PLease help!! I will give brainliest for the right answer!!

Answers

Answer:

angle CDE is 10 degree

Step-by-step explanation:

As angle C is 90

Angle E is equal to angle B which is 80 (180-100)

so 90+80+X=180

X=180-170

X=10

Please help explain. I’ve came up with 3 wrong answers

Answers

The answer is skdkdksjxsjdjsj hope this is what your looking for

Answer:

step 1. The volume of a cylinder (V) = (pi)R^2(h).

step 2. if the volume of a similar cylinder is 88ft^3 with R =2ft

step 3. then the cylinder with R = 5 would be (5/2)^2 bigger.

step 4. the volume of figure A is 88(5/2)^2

step 5. V = 88(5/2)^2 = 550ft^3.

184329 rounded to the nearest 100

Answers

Answer:

184300

Step-by-step explanation:

Answer:

184300

Step-by-step explanation:

the tens place is less than 5 so the hundreds place will stay the same

(when rounding all numbers after the one being rounded will turn to 0)

The ratio of containers of orange juice to containers of grape juice in a store is 5 orange juices to 4 grape juices. If there are 405 containers in the store, how many are grape juice?

Answers

Answer: There are 180 grape juice in the store

Step-by-step explanation:

The ratio of containers of orange juice to containers of grape juice in a store is 5 orange juices to 4 grape juice which can be expressed as 5:4

Total number of containers = 405

total ratio = 4+5 =9

The number of containers that are orange juice  = 5/9 x 405

=5 x 45=225

The number of containers that are grape juice will now be = 4/9 x 405

=4 x 45= 180.

France had 8,306,000 visitors while Australia had 15,976,000 visitors. How many combined visitors did they have?

Answers

Answer:

24,282,000 visitors (total)

Step-by-step explanation:

Add these two counts together:

8 306 000

15 976 000

------------------

24 282 000 total number of visitors

Answer:

Add the number of France visitors and Australia visitors and you will get...

Step-by-step explanation:

24,282,000 visitors

Other Questions
How many states are needed for business to occur? What are 4 ways to find a midpoint? what are two reasons why the spanish were angry with the montesionos for speaking out against thier treatment of the tainos How do you address an opposition in an essay? After the Constitution was ratified, what was the status of the Articles of Confederation? A) It was no longer a part of the laws of the United States. B) It was incorporated into the state constitutions. C) it was used only in situations not covered by the Constitution.D) It was used along with the Constitution as the legal authority for the United States. Please help me with this math homework and show how you got the answer! Using standard British coins, list the number of different ways to pay 10p.[Note: A: (2p, 1p, 1p, 2p, 1p, 2p, 1p) is not considered to be differentfrom B: {1p, 2p, 1p, 1p, 2p, 1p, 2p), both are just (3x2p, 4x1p}.] Overhead variances should be viewed as interdependent rather than independent." Give an example. _________ government refers to the governments of cities or towns. WORTH 30 POINTS Research peoples opinions assignment in Health. Is it okay for a mature 14 year old to date an 18 year old? I've heard a lot of people say no so my teacher told me to research it here. Many younger female teens tend to like older guys because women mature a lot faster than men. Do you think it's okay to date with such a big age gap? What are some health problems that may come up in a relationship such as this? define the word allusion Explain why the children were considered, the Secret Weapon in the Childrens March. Jada has challenged herself to do at least 100 full push-ups this week On Sunday, she does 30 push-ups Her arms are sore, so she decides to do fewer push-ups on the remaining days of the week She wants to do the same number of push- ups each day for the rest of the week. Write and solve an inequality for the number of push-ups Jada needs to do each day for the rest of the week to meet her goal of 100 push-ups Which answer choice best interprets the solution in the context of the problem? A. Jada needs to do at least 11 and 2 thirds B. Jada needs to do push-ups for at least 12 more days to meet her goal C. Jada needs to do at least 10 push-ups each day for the rest of the week to meet her goal D. Jada needs to do at least 12 push-ups each day for the rest of the week to meet her goal What is the scale factor of 10 cm 5m? Given that your Windows workstation has Automatic Private IP Addressing (APIPA) implemented using default settings, which of the following TCP/IP addresses could be automatically assigned to the system should your DHCP server go down or become inaccessible?10.0.0.65169.198.1.23172.16.1.26168.254.10.25192.168.1.22169.254.1.26 What does the poet Wordsworth mean by vacant and pensive mood? They didn't think the stray dog would be so calm, but he proved to be quite submissiveSubmissive is most similar in meaning toA.B.C.D.docileexcitedferociousfrightened Identify the perimeter and area of an equilateral triangle with height 11 cm. Give your answer in simplest radical form. Two groups are hiking on a glacier. Group B starts ahead of Group A and walks . To catch up to Group B, Group A walks . : since the start of the hike Group A from the start of the trail Which equation shows Group A's distance from the start? Group B Start J Consider the following projects:Cash Flows ($)Project C0 C1 C02 C3 C4 C5A -1,000 +1,000 0 0 0 0B -2,000 +1,000 +1,000 +4,000 +1,000 +1,000C -3,000 +1,000 +1,000 0 +1,000 +1,000a.If the opportunity cost of capital is 10 percent, which projects have a positive NPV?b.Calculate the payback period for each project.c.Which project(s) would a firm using the payback rule accept if the cutoff period is three years?d. Calculate the discounted payback period for each project.e. Which project(s) would a firm using the discounted payback rule accept if the cutoff period were three years?