3x+4y+6z=15
Solve for x.​

Answers

Answer 1

Answer:

[tex]x = 5 - \frac{4}{3} y - 2z [/tex]

Step-by-step explanation:

Question:-To solve for x

Equation:-3x + 4y + 6z = 15

Solution:-

=> 3x + 4y + 6z = 15

[On subtracting both sides with 4y]

=> 3x + 4y + 6z - 4y = 15 - 4y

[On Simplification]

=> 3x + 6z = 15 - 4y

[On subtracting both sides with 6z]

=> 3x + 6z - 6z = 15 - 4y - 6z

[On Simplification]

=> 3x = 15 - 4y - 6z

[On dividing both sides with 3]

[tex] = > \frac{3x}{3} = \frac{15 - 4y - 6z}{3} [/tex]

[On Simplification]

[tex] = > x = 5 - \frac{4}{3} y - 2z \: (ans)[/tex]

Answer 2

[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]\huge\bold\orange{QUESTIONS:}[/tex]

3x+4y+6z=15 Solve for x.

[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]\huge\bold\orange{ANSWER:}[/tex]

[tex]x = 5 - \frac{4}{3} y - 2z[/tex]

[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]\huge\bold\orange{SOLUTION:}[/tex]

[tex]3 \orange{+ 4y + 6z = 15}[/tex]

Move the variables to the right-hand side and change their signs.

[tex]3x = 15 \orange{ - 4 - 6z}[/tex]

Divide both sides of the equation by 3

[tex]\orange{3x = 15 - 4 - 6z}[/tex]

[tex]↓[/tex]

[tex]\orange{x = 5 - \frac{4}{3} y - 2z}[/tex]

The x-intercepts of 3x+4y+6z=15 is

[tex]x = 5 - \frac{4}{3} y - 2z[/tex]

[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

#CarryOnlearning


Related Questions

What is the LCM between 2 & 7?
bro i need this hella bad

Answers

Answer: 14

the answer is 14

Answer: 14

Step-by-step explanation: LCMof 2 and 7 is the smallest number among all common multiples of 2 and 7. The first few multiples of 2 and 7 are (2, 4, 6, 8, 10, 12, 14, . . . ) and (7, 14, 21, 28, 35, 42, 49, . . . ) respectively.

Image attached giving 25 points please help

Answers

Answer:

Step-by-step explanation:

Rational number ,because it can be written as 37 which is a ratio

what is the answer when you multiply 5.30 one by 5.02​

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Answer:

I think is there answer is 26.606

Sammy's Chipmunk & Squirrel Observations
For a science project, Sammy observed a chipmunk and a squirrel stashing
acorns in holes. The chipmunk hid 3 acorns in each of the holes it dug. The
squirrel hid 4 acorns in each of the holes it dug. They each hid the same number
of acorns, although the squirrel needed 4 fewer holes. How many acorns did the
chipmunk hide?

Answers

Answer:12 accorns

Step-by-step explanation:

If they each hid the same number of acorns, although the squirrel needed 4 fewer holes, the chipmunk hid 3 acorns in each hole

Let's assume the number of holes the chipmunk dug is 'c', and the number of acorns it hid in each hole is 'x'. Similarly, let's assume the number of holes the squirrel dug is 's', and the number of acorns it hid in each hole is 'y'.

According to the information provided, the chipmunk hid 3 acorns in each of the holes it dug, so x = 3. The squirrel hid 4 acorns in each of the holes it dug, so y = 4.

Both the chipmunk and squirrel hid the same number of acorns, so cx = sy.

Also, the squirrel needed 4 fewer holes, so s = c - 4.

Now, we can use the information to set up a system of equations:

cx = sy

c - 4 = s

Substitute the value of s from the second equation into the first equation:

c(c - 4) = 3(c - 4)

Expand the equation:

c² - 4c = 3c - 12

Now, bring all terms to one side of the equation:

c² - 4c - 3c + 12 = 0

Combine like terms:

c² - 7c + 12 = 0

Now, factor the quadratic equation:

(c - 3)(c - 4) = 0

Now, set each factor to zero and solve for 'c':

c - 3 = 0 => c = 3

c - 4 = 0 => c = 4

Since the chipmunk hid 3 acorns in each hole, the correct answer is The chipmunk hid 3 acorns.

To learn more about equations click on,

https://brainly.com/question/28975436

#SPJ2

What equation represents this sentence? 42 is the quotient of a number and 6.

Answers

Answer:

42= x/6

Step-by-step explanation:

Quotient means the answer of a division problem

sense we don’t know the ”number” in this situation it will be seen as a variable or x

x / 6 = 42

to find x we just do 42/6 to get 7

x=7

Is (9, –6) a solution to this system of inequalities?

17x + 12y > 19
10x + 5y > –13

Answers

Answer:

Yes

Step-by-step explanation:

( 9 , -6 )

17(9) + 12(-6) > 19

153 + (-72) > 19

81 > 19

10(9) + 5(-6) > -13

90 + (-30) > -13

60 > -13

To solve for the hypotenuse of a right triangle, what information do you need?

Answers

To find the hypotenuse of any right triangle, you need to square and add the other two sides. We call those two sides LEGS.

(legs)^2 + (leg)^2 = (hypotenuse)^2

In your textbook, you will see it this way:

a^2 + b^2 = c^2, where a = b = legs.

Answer:

You can use Sin to solve that problem in it you should have Angle=theeta and perpendicular.

Step-by-step explanation:

First you should have Perpendicula and Then Angle Put That info in Sinɵ = perpendicular/base. Solve it and get your Answer

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Answers

literally who is doing this

i could use help plz

Answers

6.7
+ 26.87
______
33.57

Answer:

   6.70

+26.87

 33.57

Step-by-step explanation:

Couldn't explain sorry

-hope it helps

simplify (√(π -√17)^2)

Answers

Answer: The answer is Iπ + √17|.

\sqrt((x-(1)/(2))^(2))=3.5

Answers

Answer:

8

Step-by-step explanation:

sqrt((x-1)/2)^2))=3.5

square root and squared cancel out

(x-1)/2 = 3.5

x-1 = 7

x = 8

A sequence begins with-3. Each term is calculated by multiplying the previous term by -4, then subtracting 1.
Which option correctly represents the sequence described?
A -3, 11, -45, 179, ...
B {-3, -13, -53, -213, ...}
C. {-3, 11, -45, 179, ...}
D -3, -13, -53, -213,...

Answers

Answer:

C

Step-by-step explanation:

[tex]a_{1}=-3\\a_{2}=(-3)(-4)-1=12-1=11\\a_{3}=11(-4)-1=-44-1=-45\\a_{4}=-45(-4)-1=180-1=179\\................................................\\[/tex]

Answer: Choice A)   -3, 11, -45, 179, ...

=====================================================

Explanation:

1st term = -3

new term = -4*(previous term) - 1

2nd term = -4*(1st term) - 1

2nd term = -4*(-3) - 1

2nd term = 12 - 1

2nd term = 11

The answer is between choice A and C since both involve "-3, 11" as the first two terms in that order. The only difference between A and C are the outer surrounding curly braces. These braces tell the reader that we have a set of numbers.

When it comes to a set, the order does not matter. Something like {1,2,3} is identical to {3,2,1}. Because of this, we rule out choice C.

On the other hand, order does matter in a sequence. The sequence 1,2,3 is different from 3,2,1.

How many 1/4s are in 1 1/2

Answers

6 maybe? I used Siri sorry if it’s wrong









find the quotient 3^1^5/3^3 3^5 3^18 3^12 3^45

Answers

Answer:

It's about drive its about power put in the work put in the hours and take what's ours

Step-by-step explanation:

It's about drive its about power put in the work put in the hours and take what's ours It's about drive its about power put in the work put in the hours and take what's ours It's about drive its about power put in the work put in the hours and take what's ours It's about drive its about power put in the work put in the hours and take what's ours It's about drive its about power put in the work put in the hours and take what's ours

Find m

F
E
D
∠FED. This question is going to be 20 points

Answers

Answer:

the answer is : 180° - (61° +61°) = 58°

For every 2 books that Tom buys, he can buy 3 magazines. If he pays $60 fo 4 books and 4 magazines, how much does he have to pay for each book?​

Answers

Answer:

Price of book is [tex]9\$[/tex]

Step-by-step explanation:

Let the price of book be [tex]x[/tex] and price of magazine be [tex]y[/tex]

We have

[tex]2x=3y[/tex]

We also have

[tex]4x+4y=60[/tex]

[tex]2\times 2x+4y=60\\\\2\times3y+4y=60\\\\10y=60\\\\y=6\\\\2x=3\times6\\\\x=9\$[/tex]

Price of book is [tex]9\$[/tex]

4. The population of a town is modeled by the equation P = 3485e

0.125

, where "P"

represents the population as of the year 2000.

• According to the model, what will the population of the town be in 2010?

In approximately what year will the population reach 50,000 people?

Must answer and show appropriate work for both questions here.

Student's Work

Student's Answer

A. Part A: 11,571 people in 2010

Part B: approx. 22 years

B. Part A: 38,416 people in 2010

Part B: approx. 13 years

C. Part A: 11,571 people in 2010;

Answers

The population of the town be in 2010 will be 121634, and it will take 21 years for the population to get to 50000

The population model is given as:

[tex]P(x) = 3485e^{0.125x}[/tex]

(a) The population in 2010

In 2010, the value of x is 10.

So, we have:

[tex]P(10) = 3485 * e^{(0.125 \times 10)}[/tex]

Evaluate the exponent

[tex]P(10) = 3485 * e^{(1.25)}[/tex]

This gives

[tex]P(10) = 121634[/tex]

(b) Year to reach 50000

This means that P = 50000.

So, we have:

[tex]50000 = 3485e^{0.125x}[/tex]

Divide both sides of the equation by 3485

[tex]14.35 = e^{0.125x}[/tex]

Take natural logarithm of both sides

[tex]\ln(14.35) =0.125x[/tex]

[tex]2.66 =0.125x[/tex]

Divide both sides by 0.125

[tex]21.28 = x[/tex]

Rewrite as:

[tex]x =21.28[/tex]

Approximate

[tex]x =21[/tex]

Hence, the population of the town be in 2010 will be 121634, and it will take 21 years for the population to get to 50000

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(dy)/(dx) = (x ^ 2)/(1 + y)

Answers

Answer:
Bye, hope this helps you succeed in school!

What is 10 1/2 divided by 2 1/4

Answers

Answer:

4.666666667 or 4.6_ (repeating decimal)

Suppose a worker makes $286.08 in one week. If he is paid $5.96 an hour for the first 36 hours he works and then $8.94 an hour in overtime pay for each additional hour, how many hours did he work overtime

Answers

Answer:

5.96 x 36 = 214.56.

286.08 - 214.56 = 71.52

71.52 divided by 8.94 = 8.

He worked 8 additional hours.

Answer:

The worker worked about 8 hours overtime.

Step-by-step

First we figure out how much they made without overtime.

Multiply 5.96 x 36 and you would get 214.56

Then we figure out how many hours he worked overtime

Multiply 8.94 times 8 and you would get 71.52

Then take 214.56 and add 71.52, you would get 286.08, the answer is 8 hours overtime.

1 less then the quotent of a number n and 6

Answers

" the quotient " means divide

(n/6) - 1 <== ur expression

Jenny is a great saver! She has $80 in her savings account. She deposits $25 each week into her account. She wants to save at least $300 before she begins to withdraw money from her account. Which of the following inequalities can Jenny use to determine when she can withdraw money from her account?

Answers

Answer:

[tex]80+25x\geq 300[/tex]

Step-by-step explanation:

Since she already has 80$ in the account it will be the starting point.

To those 80$ she adds 25$/w.

Since the amount of week is what needs to be determined we'll refer to it as x.

So far we have 80 + 25x.

Now since she only wants to withdraw once she has at least 300$, it means that the amount has to be either equal to 300 or more than 300.

Which gives us [tex]80+25x\geq 300[/tex]

Solve for S
Please help me

Answers

Answer:

s = 19°

Step-by-step explanation:

opposite angles = equal angles

so

106 = 6s - 8

114 = 6s

s = 114 : 6

s = 19°

--------------- check

106 = 6 * 19 - 8

106 = 106

the answer is good

What is the least multiple 6 and 8 have in commen explain

Answers

the answer is the number 2 because they can both be divided by 2 but not any other number besides 1

the first several multiples of 5 are: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50 the first several multiples of 6 are 6: 12, 18, 24, 30, 36, 42, 48, 54, 60

Pizza chefs buy 5 5/8 kg of flour. They use 3/5 of the flour to make 9 equal mini pizzas. How much flour did they use for each mini pizza? Express your answer as a fraction in its lowest form.

Answers

Answer:

Flour used to make 9 pizzas = 5[tex]\frac{5}{8}[/tex] × [tex]\frac{3}{5}[/tex]

                                                = 3[tex]\frac{3}{8}[/tex]

Flour used for each pizza = 3[tex]\frac{3}{8}[/tex] ÷ 9

                                           = 3[tex]\frac{3}{8}[/tex] × [tex]\frac{1}{9}[/tex] (reciprocal of 9)

                                           = [tex]\frac{3}{8}[/tex]

The amount of flour used for each mini pizza is [tex]\frac{3}{8}[/tex] kg.

according to Ms. Duckett, what is important to remember about finances?

Answers

Answer:

Being financially literate helps a person to distinguish between financial decisions that will be beneficial, and that will be detrimental to their financial future. Having a plan for your finances will help you meet your short and long-term needs, without going beyond your income

Step-by-step explanation:

Ppbags where here

8. What are the solutions to this system
of equations?
3x + y = -1
2x + y=0
Identify the Nature of the Solution, Show
all work below.

-

Answers

Answer:

Below in bold.

Step-by-step explanation:

3x + y = -1

2x + y=0

Subtract to eliminate y:

3x - 2x + y - y = -1 - 0

x = -1

So, substituting for x in the first equation;

3(-1) + y = -1

y - 3 = -1

y = 2.

The solution is the ordered pair (-1, 2).

The system is a pair of straight lines which intersect at the point (-1, 2).

Which inequality is shown in this graph?
(-2, 2.
• (0-2)
A. Y=2x-2
OOC
B. y 2 - 2x - 2
c. y = 2x - 2
D.VS - 2x - 2

Answers

the slope is negative and the y-intercept is -2 so the line should be -2x-2, and the space is under the line so the answer is D

(-1,-3); slope 5
PLEASE HELP

Answers

What you need?
I don’t understand

what is the value of x

Answers

Answer:

I Know the answer but it has too many steps-by-step explanation so I cant tell comment and mark me brainliest.

Step-by-step explanation:

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