Mathematics Middle School

Solve the equation for x.
One-third (6 x minus 15) = one-half (10 x minus 4)
a.
-10
c.
StartFraction 1 Over 10 EndFraction
b.
1
d.
-1

Answers

Answer 1

Answer:

X= -1

Step-by-step explanation:

[tex](\frac{1}{3} )(6x)+(\frac{1}{3} )(-15)=(\frac{1}{2} )(10x)+(\frac{1}{2} )(-4)[/tex]

(Distribute)

2x+−5=5x+−2

2x−5=5x−2

Step 2: Subtract 5x from both sides.

2x−5−5x=5x−2−5x

−3x−5=−2

Step 3: Add 5 to both sides.

−3x−5+5=−2+5

−3x=3

Step 4: Divide both sides by -3.

Which = -1

Hope this helps :)

Related Questions

Which situation could be represented by the equation 32.4 = 8.1x?

A. An athlete swam 32.4 miles. It took the athlete 8.1 minutes to swim each mile. What is x, the total number of minutes the athlete swam?

B. An athlete swam 32.4 miles on Friday. The athlete swam 8.1 miles on Saturday. What is x, the total amount of miles the athlete swam on Friday and Saturday?

C. An athlete swam 32.4 miles. On Monday, the athlete swam 8.1 miles and the rest on Tuesday. What is x, the number of miles the athlete swam on Tuesday?

D. An athlete swam a total of 32.4 miles. The athlete swam 8.1 miles every day. What is x, the number of days the athlete swam?

Answers

Answer:

C or A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Hope I helped

What’s your least favorite bank and provide 5 reasons.

Answers

Do you have options?
My favorite bank has to be citibank. It has great customer service. It’s easy. No fees. The cards are simple. Overall a good bank.

can someone help me pls and pls dont guess or i will report you im sorry

Answers

Answer:

10!!!!!!!!!!!!!!!!!!!!!!!

Answer:

its 10

Step-by-step explanation:

Nine shuttle buses are being used to transport 1,176 people from the convention center back to their hotels. Each shuttle bus can transport 45 people, and a bus will not leave the convention center until every seat is occupied. How many trips will each of the 9 shuttle buses need to make to transport all 1,176 people back to their hotels?

Answers

Answer:

26 busses.

Step-by-step explanation:

the first 25 busses will be full. then the last one will have 6 people.

-2(z+3)-z=-z-4(z+2)
solve for z quickly please! will give brainliest

Answers

Answer:

[tex] \sf z = - \dfrac{2}{3} [/tex]

Step-by-step explanation:

Solve for z:

[tex] \longrightarrow [/tex] -2(z + 3) = -z - 4(z + 2)

-4(z + 2) = -4z - 8:

[tex] \longrightarrow [/tex] -2(z + 3) = -z -4z - 8

Grouping like terms, -z - 4z - 8 = (-z - 4z) - 8:

[tex] \longrightarrow [/tex] -2(z + 3) = (-z - 4z) - 8

-z - 4z = -5z:

[tex] \longrightarrow [/tex] -2 (z + 3) = -5z - 8

Expand out terms of the left hand side:

[tex] \longrightarrow [/tex] -2z - 6 = -5 z - 8

Add 5z to both sides:

[tex] \longrightarrow [/tex] (5z - 2z) - 6 = (5z - 5z) - 8

5z - 5z = 0:

[tex] \longrightarrow [/tex] (5z - 2z) - 6 = -8

5z - 2z = 3z:

[tex] \longrightarrow [/tex] 3z - 6 = -8

Add 6 to both sides:

[tex] \longrightarrow [/tex] 3z + (6 - 6) = 6 - 8

6 - 6 = 0:

[tex] \longrightarrow [/tex] 3z = 6 - 8

6 - 8 = -2:

[tex] \longrightarrow [/tex] 3z = -2

Divide both sides of 3z = -2 by 3:

[tex] \longrightarrow [/tex] [tex] \sf \dfrac{3}{3}z = - \dfrac{2}{3} [/tex]

[tex] \sf \dfrac{3}{3} = 1 :[/tex]

[tex] \longrightarrow [/tex] [tex] \sf z = - \dfrac{2}{3} [/tex]

-2/3 is correct answer

Please help me with this question.

Answers

Answer:

3 to 9

second is 2.5 to 15

Step-by-step explanation:

Help meeeee plsssssssss

Answers

Answer:

The answer is D. -3 1/9

i need help with this problem.

Answers

Answer:   34

Step-by-step explanation:

8*6= 48      8*5=40    2 squared=4            40+48= 88     88/4=22

22+12= 34

It would be 34

Because 8(6+5) = 48+40= 88 over 4 which is 22 then you would do 6(2) which is 12 so 22+12 is 34

Which of the following is the graph of the inverse of f(x)=2x-3

Answers

Answer:

(-3,0) (0,1.5

Step-by-step explanation:

The answer choice which is the graph of the inverse of f(x)=2x-3 is; the graph of; f(x) = x/2 + 1.5.

What is the graph of the inverse of f(x)=2x-3?

It follows from the task content that the function given is; f(x)=2x-3.

Hence, to find the inverse function;

y = 2x - 3x = y/2 + 1.5.

Interchange the variables;

y = x/2 + 1.5.

On this note, it follows that the inverse function is;

f(x) = x/2 + 1.5

The graph of the inverse function therefore has points; (0, 1.5) and (2, 2.5) as points on the graph.

Read more on inverse functions;

https://brainly.com/question/3831584

Triangle ABC was dilated with the origin as the center of dilation to create triangle A'B'C'. The triangle was dilated using a scale factor of 1/4.

The lengths of the sides of triangle ABC are given.

Enter the lengths of the sides of triangle A'B'C' below.
(Decimal values may be used.)

Answers

Answer:

I would say the middle one.

Step-by-step explanation:

simplify by combining like terms: 1.52c + 3.12c

Answers

Answer:

4.64c

Step-by-step explanation:

Step-by-step explanation:

=1.52c+3.12c

=4.64c

hope it help u.

What solid geometric figure could be created using the pattern above?

Answers

Answer:

hiiiiii

Step-by-step explanation:

how are u I hope u are doing well

what pattern? i’m not sure i don’t see anything their

Find the prime factorization of 196. Use a method of your choice. List your final answer
using exponents.

Answers

Positive Integer factors of 196 = 2, 4, 7, 28, 196 divided by 2, 2, 7, 7, gives no remainder. If we put all of it together we have the factors 2 x 2 x 7 x 7 = 196. It can also be written in exponential form as 22 x 72.

(I got all of this from google so i hope it’s right!)

help me plss............................................

Answers

Answer:

im not sure if this is correc but i think it may be  -15 like i said not 100% sure im like 38% sure sorry

Step-by-step explanation:

Answer:

-15

Step-by-step explanation:

Lets say Sam is dog sitting for 15 dollars and cleaning her house for 20 dollars how many months/weeks would she have to work??

Answers

Answer:

12 months

Step-by-step explanation:

Answer:

35 weeks

Step-by-step explanation:

I NEED SOME HELP!!!!!

Answers

It’s (-5,1)

You start at (-3,1) then it tells you to go two left, which is the negative way, and it ends up being (-5,1).

Antonio and Candice had a race. Their distances past a particular landmark as the race progressed can be represented by linear functions and are shown in the table of values and graph below. Which statement is true regarding Antonio and Candice’s race?
A. Antonio had a head start of 1 meter
B. Antonio had a head start of 3 meters
C. Candice had a head start of 1 meter
D. Candice had a head start of 3 meters

Answers

Answer:

.

Step-by-step explanation:

B. Antonino had a head start of 3 meters. If you use the slope to find the unit distance of both Candace and Antonio, you will see that Candace is at 2 meters and Antonio is at 5, meaning Antonio had a head start of 3 meters

Another Question help these are due soon!!!!!!

Answers

1. The slope is 3/1 (3)

2. 1/3

3. Decimal of 3/1 is 3.0

4. Decimal of 1/3 is .33

5. C

~theLocoCoco

a recipe callls for 2/3 a cup of milk thomas halves the recipe how much milk does he need

Answers

Answer:

1/3 cup of mill

Step-by-step explanation:

2/3 2/2 = 1

Answer:

Thomas needs 0.3 cups of milk.

Step-by-step explanation:

2/3 is 0.67 as a decimal.

0.67 ÷ 2 = 0.335

Thomas needs 0.335 cups of milk.

Hope this helps! :)

write the equation for this line

Answers

Answer:

y = 4x + 3

Step-by-step explanation:

Estimate the quotient by rounding the expression to relate to a one-digit fact. Explain your thinking in the space below. 432 ÷ 73 ≈ ___ *

Answers

Answer:

5.9..... there are a bunch of numbers after that but you would round it to 6.0

Step-by-step explanation:

It would be 5.9,, I looked ok my calculator

if you can solve this and help me out with the answers then I will give the first person to tell me a brainlyest thing

Answers

Answer:

3 is 1 1/2 for sure

Step-by-step explanation:

2 is 5.5 i think

need helpp its a break room (click link) !!just need the direction code.

Answers

Answer:

bjugb k  

Step-by-step explanation:

Good job you will do great on this

Find 15 out of these numbers: 4,3,9,7 (You can use any symbol. meaning these: +, =, ×, ÷, BUT, you can not use the same number twice.)

»«»«»«»«

Whoever answers first i'll mark you brainilest!

»«»«»«»«

Good luck!!

Answers

Answer:

1×15

Step-by-step explanation:

it explains itself

Answer:

15

Step-by-step explanation:

9 + 7 = 16

16 + 3= 19

19 - 4 = 15

I'LL GIVE YOU 20 POINTS AND BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

It is the 5th Blue one:) We know this because the y-intercept is -2.

Answer:

I can see how this is confusing, because of -2, but the slope is decreasing, so the question wouldn't say:

[tex]-3/5x - -2[/tex]

This happens to turn the -2 into a regular 2 with an addition (+) sign.

and since the graph has an input of 5 but an output of -3, the equation would be:

y = -3/5x + 2

what is the equation

Answers

Slope= -1y+-3x

Just look at the slope and see how many it goes down on the y and look how the x changes.

Maggie had $29.14. Then her mom gave her $7.50 for watching her younger brother.

She was paid $12.23 for her old roller skates. How much money does Maggie have now?

Answers

Answer:

48.87

Step-by-step explanation:

Answer:

48.89

Step-by-step explanation:

Just add up the numbers

Many credit card companies charge a compound interest rate of 1.8% per month on a credit card balance. Miriam owes $550 on a credit card. If she makes no purchases or payments, she will go more and more into debt.

Which of the following sequences describes her increasing monthly balance?


A. 550.00, 649.00, 765.82, 903.67, 1,066.33, ...

B. 550.00, 559.90, 569.80, 579.70, 589.60, ...

C. 550.00, 559.35, 568.86, 578.53, 588.36, ...

D. 550.00, 559.90, 569.98, 580.24, 590.68, ...

E. 550.00, 550.99, 551.98, 552.98, 553.97, ...


Please also explain how (steps) to get the answer, thank you!

Answers

Answer:

D. 550.00, 559.90, 569.98, 580.24, 590.68, ...

Step-by-step explanation:

So, her debt will increase of the interest rate of 1.8% on a credit card.

You have to multiply the rate by the amount that she owes. So, when you multiply 1.8% by $550 you get $9.90 amd you habe to add that to what she owes. You can't keep adding $9.90 because now her debt increased from $550 to $559.90. You now have to multiply $559.9 by 1.8% inorder to get her new amount of debt. If you multiply 1.8% by $550, then you are saying that she only has $550 as debt even though she now has $559.90 im debt. You must keep multiplying her new amount of debt by 1.8% to get her increasing monthly balance.

Answer:

Step-by-step explanation:

I say D

The current balance of Amber’s bank account was $8. She withdrew
$14. Find the new balance in her account.

Answers

Answer:

$-6

Step-by-step explanation:

$(8-14)

= $-6

Hope this helped!

The answer is going to be -14

PLEASEEEE HELP!!!! ahhhhhhh

Answers

(1,9)

Have a nice day!!!

Answer:

1, 9

Step-by-step explanation:

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