How do I show work for 5- (a-4) = 3 (a+2)

Answers

Answer 1

Here is how I would show the work for this problem

5- (a-4) = 3 (a+2)
5-a+4 = 3*a+3*2
5-a+4 = 3a+6
-a+9 = 3a+6
-a+9+a = 3a+6+a
9 = 4a+6
9-6 = 4a+6-6
3 = 4a
4a = 3
4a/4 = 3/4
a = 3/4

So the solution is the fraction a = 3/4 (in decimal form 0.75)

Let me know if you have any questions or issues with any of the steps shown above. It's a lot to take in so feel free to ask about anything really.

Answer 2

5-(a-4)=3+(a+2)
distribute invible -1
5-a+4=4+a+1
9-a=a+5
add a to both sides
9=2a+5
minus 5 both sides
4=2a
divide by 2 both sides
2=a

Related Questions

what is the quotient of -4/5 divided by 2

Answers

The answer is -2/5; hope this helps

Which linear inequality is represented by the graph?

Answers

for this one, all you have to do is test out those points and see if you get a valid answer!! it's easier than it looks.

y < 0.5x + 2

then, you can either find these points on your graph to check them (easier for most), but some people prefer the other method which is just taking your answer choices and plugging them in:
(-3, -2)
-2 < 0.5(-3) + 2
-2 < -1.5 + 2
-2 < 0.5
then, you just ask yourself "is that true?" is -2 less than 0.5? and the answer is yes, that's true, so this point is a solution.

the same process repeats with the rest of them, but:
(-3, 2) is a solution.
(-2, 1) is not a solution.
(-1, -2) is a solution.
(-1, 2) is not a solution.
(1, 2) is a solution.
(1, -2) is not a solution.
(1, 2) is a solution.

Answer:

The correct options are 1, 3, 5 and 6.

Step-by-step explanation:

The given inequality is

[tex]y<0.5x+2[/tex]

A point is the solution of a linear inequality, if it satisfy the inequality.

The given point is (-3,-2). Check whether this is a solution or not.

[tex](-2)<0.5(-3)+2[/tex]

[tex]-2<0.5[/tex]

This statement is true. Therefore (-3,-2) is a solution.

The given point is (-2,1). Check whether this is a solution or not.

[tex](1)<0.5(-2)+2[/tex]

[tex]1<1[/tex]

This statement is false. Therefore (-2,1) is not a solution.

The given point is (-1,-2). Check whether this is a solution or not.

[tex](-2)<0.5(-1)+2[/tex]

[tex]-2<1.5[/tex]

This statement is true. Therefore (-1,-2) is a solution.

The given point is (-1,2). Check whether this is a solution or not.

[tex](2)<0.5(-1)+2[/tex]

[tex]2<1.5[/tex]

This statement is false. Therefore (-1,2) is not a solution.

The given point is (1,-2). Check whether this is a solution or not.

[tex](-2)<0.5(1)+2[/tex]

[tex]-2<2.5[/tex]

This statement is true. Therefore (1,-2) is a solution.

The given point is (1,2). Check whether this is a solution or not.

[tex](2)<0.5(1)+2[/tex]

[tex]2<2.5[/tex]

This statement is true. Therefore (1,2) is a solution.

Thus the correct options are 1, 3, 5 and 6.

Jeanette ' s sister charges $5.50 per hour before 9:00 P.M for babysitting and $8 per hour after 9:00 P.M .She finished babysitting at 11:00 P.M and earned $38 . At what time did she begin babysitting ?

Answers

9:00-11:00 she earned $16. 38-16=22 22/5.50=4 9 minus four equals 5, so she started babysitting at 5:00.

Which figure is not a polygon?

A.
Figure A

B.
Figure B

C.
Figure C

D.
Figure D

Answers

Figure B is not a polygon

Answer:

figure B

Step-by-step explanation: because polygons cant have round surfaces

True or False: 5a + 6b = 11ab? Can you think of a way you can prove it using a and b?

Answers

False unless they are either both 1 or both 0.
11ab=11(a+b) not 5a+6b

Hope this helps :)

what percent of 2000 is 204

Answers

204 is 10.2% of 2000

Working Out

204/2000 x 100 = 10.2%

A number divided by 3.Then 14 is added to the quotient. The result is 33.What is the original number? I did x/3 + 14 = 33. Then i multiplied the 3 on both sides but didn't get the right answer .Help!!

Answers

i think the original number is 19

Answer:57

Step-by-step explanation: If you do in calculator 57÷3+14 it equals 33

without dividing or listing multiples how can you tell if 61 is a multiple of 6

Answers

It's not even. And every multiple if 6 is even.

It isn't even it is odd

When someone donated 14 gallons of paint to Rosendale Elementary School, the fifth grade decided to paint a mural. They split the gallons equally among the four classes. How much did each class have to paint their mural?

Answers

3.5 gallons is your answer. I hope this helped!

3.5 each class have to paint

Adriano runs a website that helps writers write better stories. Every month, Adriano receives a subscription fee of $5 from each of the subscribers to his website. The website had 200 subscribers last month. This month 40 new members joined the website and 10 members cancelled their subscription

Answers

There aren't really any instructions for this, so I'll just go ahead and find the total amount of money for both months. The first month Adriano had 200 subscribers. 5 times 200 is 1000, so Adriano received $1000 that month. The second month 40 members joined, but 10 cancelled their subscription. Taking this into account, we'll just say that 30 members joined. 30 times 5 is 150, and 150 plus 1000 is 1150. Therefore, Adriano had to have received $1150 the second month.

I'm not entirely sure what the question was to begin with, but I hope this answers it!

Final answer:

After accounting for new subscriptions and cancellations, the website has 230 current subscribers, resulting in a total monthly revenue of $1150 from subscriptions.

Explanation:

The question involves a straightforward mathematical problem concerning subscription counts and fee calculations for a website, which is typically a topic covered under basic arithmetic or algebra in middle school mathematics. To answer the student's query, we need to calculate the new number of subscribers after accounting for the 40 new members who joined and the 10 members who cancelled their subscription. The initial number of subscribers was 200. With 40 new subscribers joining and 10 unsubscribing, the new total number of subscribers is given by:

Initial subscribers + New subscribers - Unsubscribed members

200 + 40 - 10 = 230

Next, we calculate the total subscription fee revenue for the current month by multiplying the number of subscribers by the monthly subscription fee which is $5:

Total revenue = Number of subscribers × Subscription fee per subscriber

Total revenue = 230 × $5 = $1150

Therefore, the revenue from subscriptions for this month is $1150.

Solve the perimeter formula for an isosceles triangle, p=2a+b, solve for b.

Answers

minus 2a from both sides
p-2a=b

Answer:

b= (p)/(2a)

Step-by-step explanation:

what is 4c squared + 6c - 3c squared - 2c -3

Answers

Your answer to your problem is c squared + 4c -3.

4c^2 + 6c - 3c^2 - 2c - 3

Answer: c^2 + 4c - 3

4x7x25=find the product tell which strategy used

Answers

700 would be the answer

Since it is just multiplication, you just multiply the numbers in any order.
For example:
1. 4x7=28x25=700
2. 25x4=100×7= 700
325 × 7= 175 x 4= 700

If x = 15 units, y = 18 units, z = 9 units, and h = 12 units, then what is the surface area of the triangular prism shown above?
A. 432 units2 B. 972 units2 C. 864 units2 D. 648 units2

Answers

15*9=135+135=270
18*12=216+216=432
9*18=162
270+432+162=864

C.864 is the answer

The surface area of a triangular prism is 648 square units.

What is the surface area of a triangular prism?

The surface area of a triangular prism is

= (perimeter of the base triangle × length) + (2 × base area of the triangle)

Given, the area of the base triangle is

= (1/2) × y × h square units

= (1/2) × 18 × 12 square units

= (1/2) × 216 square units

The perimeter of the base triangle is

= (x + x + y) units

= (15 + 15 + 18) units

= 48 units

Length = z = 9 units

Therefore, the surface area of the triangular prism is

= [(48 × 9) + 2 × (1/2) × 216] square units

= 648 square units

Learn more about the surface area of the triangular prism here: https://brainly.com/question/23137171

#SPJ2

when a number x is multiplied by 4 the result is 2/5 what is the vaule of x

Answers

2/5 as a decimal is 0.4
4*0.1=0.4
meaning x is 0.1

4x=2/5
x=(2/5)/4
x=(2/5)/(4/1)
x=2/5*1/4
x=2/20
x=1/10
x=0.1

Hope this helps :)

An elevator starts at the top floor of an office building, which is 37.8 meters above the ground. It travels to the parking garage 12.3 meters underground. How many meters did the elevator travel?

Answers

37.8+12.3=50.1 metres

The elevator traveled 50.1 meters. +37.8+12.3=50.1

512+270 is the same as 500 + ______

Answers

is the same as 500 plus 282

What are the slope and y-intercept for the the graph of y - 7x = 10

Answers

y-7x=10
y-7x=10
y=10+7x
y=10+7x, x€r

The finished equation should be y=7x+10

Therefore the slope is 7x and the y-intercept is 10

(7/8+1/12)- 1/2=
please help me with this

Answers

0.45833333333 this is the answer i think and sorry if it is the wrong one

What is 0.003 one tenth of ?

Answers

0.003 is one tenth of .03

0.03 is the correct answer

if a 14 karat gold necklace weighs 1.8 ounces how many ounces of pure gold does it contain

Answers

it contains three 3 pure gold

Three 3 pure gold (: hope this helps

Cassandra has a rectangular patio in her backyard. the pation is 12.74 meters long and 5.45 meters wide. round the length and width to the nearest whole number then estimate the perimeter of cassandras patio write an equation to model your work.

Answers

12.74 rounds up to 13; 5.45 rounds down to 5. Recatangles gave 4 sides, two sides are thto same length as each other, and the other two sides are the same length as each other (which is a poor way to explain it). What that means in the context of this question is that there are two sides with length 13 and two sides length 5. So, added together 13+13+5+5 would be th total perimeter. As an expression, 2(13)+2(5)=26+10=36. The perimeter is approximately 36 meters.

Answer: Perimeter of backyard is 36 m.

Step-by-step explanation:

Since we have given that

Length of rectangular backyard = 12.74 meters

Width of rectangular backyard = 5.45 meters

We need to estimate to the nearest whole number.

So, 12.74 → 13 meters

5.45 → 5 meters

So, Perimeter of rectangular backyard is given by

[tex]2\times (length+width)\\\\=2\times (13+5)\\\\=2\times 18\\\\=36\ m[/tex]

Hence, perimeter of backyard is 36 m.

Find the percent change from the first value to the second.

Answers

25%

Or 69 is 75% of 92

What are the common multiples of 2,5 and 10?

THIS IS WORTH 55 POINTS,SO ANSWER WISELY!

Answers

The least common multiple for all of the numbers is 10, do you want all of the multiples?

=20
5 x 4 = 20
2 x 10 = 20
10 x 2 = 20

3x-7>5
Find the solution, please show your work. Thank You!1

Answers

To find x just change the > to a =
3x-7=5
add 7
3x=12
then divide by 3
x=4

3x-7>5
3x-7=5
5=7=12
12/3=4
x=4

What is the ratio 18 to 27 written as a fraction in lowest terms?

Answers

The answer would be 2/3 because 18:27 converted to fraction would have been 18/27 but simplify and now 2/3.

Answer:

2/3

Step-by-step explanation:

I took the quiz

camila make 6 frames with 4 seashells each. she has 3 shells left over. how many shells did she start with

Answers

She started with 27 shells

Camila had 27 shells.

Ellen walks dogs on weekends she gets paid $ 8.50 per hour each day she works 5 hours and 45 minutes does she earn more or less than $85 in one weekend? how much more or less explain.

Answers

$8.50 * 5 = $42.50
45 mins -> $8.50 / 60 * 45 = $6.37

She will earn less than $84 in one weekend because $42.50 + $6.37 = $48.87

Answer:

Ellen earns $159.375 more than $85.

Step-by-step explanation:

We have been given that Ellen walks dogs on weekends she gets paid $ 8.50 per hour. Each day she works 5 hours and 45 minutes.

[tex]\text{45 minutes}=\frac{45}{60}\text{ hour}[/tex]

[tex]\text{45 minutes}=0.75\text{ hour}[/tex]

We know that each week has 5 working days.

[tex]\text{Hours worked each week}=5\times 5.75\text{ hours}[/tex]

[tex]\text{Hours worked each week}=28.75\text{ hours}[/tex]

[tex]\text{Earnings each week}=\$8.50\times 28.75[/tex]

[tex]\text{Earnings each week}=\$244.375[/tex]

Since $244.375 is greater than $85, therefore, Ellen earns $159.375 more than $85.

How do you solve equations using multiplication and division

Answers

In order to move a number that is multiplied or divided by the variable, you must do the inverse to both sides. That means, if the number is multiplied, you must divide it by both sides. If it's divided, you must multiply it by both side. steps so that you can apply them to more complex problems.

Hope This Helps

To properly answer this I would need to know what the problem is.

However, to multiply you must figure out how many times you add one number to itself. For example, 3 x 4 is three added to itself four times. 3 x 4 = 12 and 3 + 3 + 3 + 3 = 12.

To divide you must figure out how many times one number can go into another. For example, 15 divided by 3 is seeing how many times 3 must be added to itself to equal 15. 15 divided by 3 = 5 and 3 + 3 + 3 + 3 + 3 = 15. (There are five threes added together to get 15, which is how we know the answer to the equation is 5.)

I'm not entirely sure if this is what you wanted or not, again, I would need to see the entire problem to figure this out.

what is the least common multiple of 5 and 10

Answers

The least common multiple of 5 and 10 is 5. I hope this helps you.

To find out what the LCM is, list the multiples of each number:

5, 10, 15 ...
10, 20, 30...

The number that is not only common but also is a multiple of both 5 and 10 would be 10.

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