The expression 3(x+4)-(2x+7) is equivalent to

Step-by-step explanation:

rewriting the third equation

[tex]4x - y + z = - 5 \\ - x + y - z = 5 \\ 2x - y - z = 1[/tex]

add to second equation to the first

[tex]4x - y + z = - 5 \\ + (- x + y - z )= 5 \\ = 3x = 0 \\ x = 0[/tex]

[tex] - y + z = - 5 \\ y - z = 5 \\ - y - z = 1[/tex]

I add third equation to the second

[tex]y - z = 5 \\ + ( - y - z) = 1 \\ = - 2z = 6 \\ z = - 3[/tex]

substitute z = -3 into either one of the other two equations and solve for y

[tex] - y + ( - 3) = - 5 \\ - y - 3 = - 5 \\ - y = - 2 \\ y = 2[/tex]

x = 0

y = 2

z = -3

Answer:

x=0,z=-3,y=2

Step-by-step explanation:

sry for late response

Answer:

the lines are perpendicular

Step-by-step explanation:

Answer: Points A, D, and G are collinear, meaning they all lie on the same line.

Step-by-step explanation:

Answer:

h=3/4

Step-by-step explanation:

19=h4+16

19-16=h4+16-16

3=h4

3/4=h4/4

3/4=h

h=3/4

Answer:

h = 3/4 or as a decimal it would be 0.75

Step-by-step explanation:

19 = h × 4 + 16

Reorder the terms

Use the communative property to reorder the terms

19 = 4h + 16

19 = 4h + 16

Move the terms

Move the variable to the left - hand side and change its side

19 - 4h = 16

Move the constant to the right - hand side and change its sign

-4h = 16 - 19

-4h = 16 - 19

Calculate

calculate the difference of 16 minus 19

-4h = -3

-4h = -3

Divide both sides of the eqaution by -4

Therefore your answer is h = 3/4 or if you want a decimal simplify 3/4 by dividing 3 and 4, which gives you 0.75

Answer:  Natasha = 480; Richard = 240, Stephen = 80

Step-by-step explanation:

Let N, R, and S stand for the amounts Natasha, Richard and Stephen receive.  The problem tells us that:

N = 2R, and

R = 3S

We know that N+R+S = 800

Since N=2R and R=3S, N = 6S

N+R+S = 800

6S+3S+S=800

10S=800

S=80

R=3S or 240

N=2R or 480

Conclusion:

N gets 480

R gets 240,

and S gets 80

That adds to 800.

. . .  AND the last conclusion is that I need to meet Natasha.  Please send Stephen home.

Answer: 1953

Step-by-step explanation: You need to subtract 7768 and 7117 to find the average change in 2 years; you get 651, divide this by 2 to find the amount of change in 1 year and you'll get 325.5, now if we take 325.5 times 6 (the amount of years until 2016) you will find 1953 as the answer.

Answer:

Because in 0.78 78 is in the hundreths place so you would place 78/100

Step-by-step explanation:

Answer:

1.05

Step-by-step explanation:

you do 5.25/5 and that makes 1.05

Hi there!  

»»————-　★　————-««

I believe your answer is:  

$1.05 per bottle

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\frac{\text{Price}}{\text{Number of Water Bottles}} \rightarrow\frac{5.25}{5}\rightarrow\frac{5.25/5}{5/5}\rightarrow\ \frac{1.05}{1}\rightarrow \boxed{\$1.05}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer

[tex]\frac{0.525}{1}[/tex]

Step-by-step explanation:

The solution to the fraction in simplest form is 21/40

The fraction is given as

3/4 × 7/10

The next step is to multiply both fractions

= 3×7/4×10

= 21/40

The result gotten from the multiplication of both fractions cannot be broken down into simplest forms. Therefore the answer is 21/40

Read more on fraction here

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Answer:

( 8 , 6 )

Step-by-step explanation:

A = ( 2 , 2 ) and C = ( 5 , 4 )

→ Form an equation

[tex]\frac{2+x}{2} =5[/tex]   and   [tex]\frac{2+y}{2}=4[/tex]

→ Now solve them

2 + x = 10 and 2 + y = 6

→ Simply find the values

x = 8 and y = 6

SOLUTION :

[tex] \large{ \rightarrow{ \tt{ \: (5 \: ,4 \: ) = ( \frac{2 + x}{2} \: , \frac{2 + y}{2} )}}}[/tex]

[tex] \large{ \tt{5 = \frac{2 + x}{2} }}[/tex]

[tex] \large{ \rightarrow{ \tt{10 = 2 + x}}}[/tex]

[tex] \large{ \rightarrow{\tt{10 - 2 = x}}}[/tex]

[tex] \boxed{ \large{ \rightarrow \tt{x = 8}}}[/tex]

[tex] \large{ { \tt{4 = \frac{2 + y}{2} }}}[/tex]

[tex] \large{ \rightarrow{ \tt{8 = 2 + y}}}[/tex]

[tex] \large{ \rightarrow{ \tt{8 - 2 = y}}}[/tex]

[tex] \boxed{ \large{ \rightarrow{ \tt{y = 6}}}}[/tex]

[tex] \large{ \boxed{ \tt{OUR \: FINAL \: ANSWER : \: D. \: (8 \:, 6 \: ) }}}[/tex]

:) Hope I helped! Let me know if you have any questions regarding my answer! ~

Answer:

Step-by-step explanation:

38,500-36,000=2,500

B. The difference in the starting salaries is $2,500.

D. Luisa will make more money in the first 8 years.

The required scenario are,
(1) The difference in the starting salaries is $2,500.
(2) Damon will make more money in the first 8 years.

Given that,
Luisa took a job in which her salary can be modeled by the exponential function y = 36.000(1.025)", where x is the number of years after she is hired. Damon took a job with a starting salary of $38.500 and yearly raises of $800.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
According to the question,
Difference in starting salary = 38500 - 36000 = $2500
Luisa's salary after 8 years = $43862.50
Damon's salary after 8 years  = $45108.89

Thus, the required scenario is,
(1) The difference in the starting salaries is $2,500.
(2) Damon will make more money in the first 8 years.

Learn more about simplification here: https://brainly.com/question/12501526

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Answer:

Step-by-step explanation:

When y =f(-8) the answer is y = -2

Since a > 1, b cannot be greater than 15, hence the value of a can be 3, 4, 5, and 10

Given the expression 15x + 20=a(bx + c),

To get the value of a, we will need to factor out the given expression as shown:

15x + 20=a(bx + c)

15x + 20=abx + ac

Comparing both sides

15x = abx

15 = ab

a = 15/b

Since a > 1, b cannot be greater than 15

Hence the value of a can be 3, 4, 5, and 10

Learn more here: https://brainly.com/question/15165519

Answer:

-7n + -8

= -7n - 8

= -(7n + 8)

Step-by-step explanation:

brainliest plz

Answer:

A point is plotted on a horizontal number line.The absolute value of the number represented by the point is 6.If the point is to the left of 0, then the point is located at -6.If the point is to the right of 0, then the point is located at 6.Whether the point is to the left or right of 0, the distance from 0 to the point is 6 units.

Step-by-step explanation:

Have a good day :)

Step-by-step explanation:

câu này 2x3 hay 2^3 vậy bạn

Answer:

405 fishballs and 405 meatballs

Step-by-step explanation:

Please see the attached pictures for the full solution.

Let me first ask this :

how do u find the midnumber of 1 and 3 ?

( 1 + 3 ) ÷ 2 =

4 ÷ 2 =

2

_________________________________

It is the exact way we do to find the midpoint of a line ; have a look :

The midpoint of AB is P thus :

( Point A + Point B ) ÷ 2 = Point P

Suppose that we have point B as ( x , y ) then :

[ ( 2 , 3 ) + ( x , y ) ] ÷ 2 = ( 6 , - 1 )

Now we add the same components of points A and B together, that is, we add the first component A to the first component B and replace the first component, and so we add the second component A to the second component B. And replace the second component :

[ ( 2 + x , 3 + y ) ] ÷ 2 = ( 6 , - 1 )

( 2 + x/2 , 3 + y/2 ) = ( 6 , - 1 )

Well now we have a draw so the first components of both sides of the draw must be equal Also, the second components of the two sides of the equation must be equal , thus :

2 + x/2 = 6

Multiply both sides by 2

2 × ( 2 + x )/2 = 2 × 6

2 + x = 12

Subtract both sides 2

2 - 2 + x = 12 - 2

3 + y/2 = - 1

Multiply both sides by 2

2 × ( 3 + y )/2 = 2 × ( - 1 )

3 + y = - 2

Subtract both sides 3

3 - 3 + y = - 2 - 3

________________________________

And finally, after all the hardship and misery, we realized that

Which mean Option C is the correct answer.

And we're done...

The distance between two points is the number of units between them

The possible value of x is -66

The given parameters are:

[tex]\mathbf{S = (-6,8)}[/tex]

[tex]\mathbf{T = (x,-3)}[/tex]

[tex]\mathbf{ST = 61}[/tex]

Distance ST is calculated using:

[tex]\mathbf{d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]

So, we have:

[tex]\mathbf{d = \sqrt{(-6 - x)^2 + (8 - -3)^2}}[/tex]

[tex]\mathbf{d = \sqrt{(-6 - x)^2 + (8 +3)^2}}[/tex]

[tex]\mathbf{d = \sqrt{(-6 - x)^2 + 11^2}}[/tex]

Substitute 61 for d

[tex]\mathbf{ \sqrt{(-6 - x)^2 + 11^2} = 61}[/tex]

Square both sides

[tex]\mathbf{ (-6 - x)^2 + 11^2 = 61^2}[/tex]

[tex]\mathbf{ (-6 - x)^2 + 121 = 3721}[/tex]

Subtract 121 from both sides

[tex]\mathbf{ (-6 - x)^2 = 3721 - 121}[/tex]

[tex]\mathbf{ (-6 - x)^2 = 3600}[/tex]

Take square roots of both sides

[tex]\mathbf{ -6 - x = 60}[/tex]

Add 6 to both sides

[tex]\mathbf{ - x = 60 + 6}[/tex]

[tex]\mathbf{ - x = 66}[/tex]

Multiply both sides by -1

[tex]\mathbf{ x = -66}[/tex]

Hence, the possible value of x is -66

Read more about distance at:

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Step-by-step explanation:

y+0.05x

0.05 because

5$ for 100

5$/100=0.05(for a single mile)

Answer:y=16.8

Step-by-step explanation:

proportional means that x/y= constant

so there the constant is 1.75

if x=29.4 then 29.4/y =1.75

y = 29.4/1.75

Answer:

a=3/5 or 0.6

Step-by-step explanation:

a-8/5-2/3a=-7/5

Step 1: Multiply both sides

15a-24-10a=-21

Step 2: Combine like terms

5a-24=-21

Step 3: Calculate and divide both sides by 5

5a=3

Solution:

a=3/5 or 0.6

Answer:

hope it helps ...........

Step-by-step explanation:

6m-1+73=180 (linear pair)

6m+72=180

6m=180-72

6m=108

m=108/6

m=18°

Answer:

Step-by-step explanation:

1. 9.3521x10^12

2. 8.07x10^-3

3. 8x10^8

4. 5.2x10^4

5. 4.8x10^4

6. 8.369x10^9

7. 9x10^14

8. 2x10^2

9. 2.44x10^-3

10. 9x10^4

Step-by-step explanation:

hope this helps, if it's wrong just tell me but I am confident it's right

Answer:

12

Step-by-step explanation:

because 20÷1/4=5

so 5 ounces

and then the 3 ounces for yourself so 8 ounces taken away