7 people went to dinner. The total
bill was $42. How much did
each person pay if the bill was
shared equally?

x = 3 and y = 7 are the answers to the simultaneous equations 8x + 3y = 45 and 2x + 3y = 27.

A linear equation is an equation that describes a straight line on a coordinate plane. It is an equation of the form y = mx + b, where x and y are variables, m is the slope of the line, and b is the y-intercept (the point where the line intersects the y-axis).

To solve the simultaneous equations:

8x + 3y = 45 ...(1)

2x + 3y = 27 ...(2)

By adding or removing equations, we can utilise the procedure of elimination to get rid of one of the variables. In this situation, y can be removed by deducting equation (2) from equation (1) as shown below:

(8x + 3y) - (2x + 3y) = 45 - 27

6x = 18

x = 3

In order to obtain the value of y, we can now change the value of x in either equation (1) or (2). Consider using equation (1):

8x + 3y = 45

8(3) + 3y = 45

24 + 3y = 45

3y = 45 - 24

3y = 21

y = 7

Therefore, the solution to the simultaneous equations 8x + 3y = 45 and 2x + 3y = 27 is x = 3 and y = 7.

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Answer:

The last one t/5-6=-3

Step-by-step explanation:

All you have to do is plug in 15 to each equation, knowing this if you add 15 into this equation you would get 15/5-6=-3 and this is true because 15/5=3, 3-6=-3!

I hope this helps and have a great day!

Answer:

Step-by-step explanation:

1.)

7 - 3i - 6 - 4i

Combine like terms

1 - 7i

Cant do anything else

__________________________________________________________

2.)

5 + 4i - 9 - i

Combine like terms

- 4 + 3i

Can't do anything else

__________________________________________________________

3.)

5i - 3 - 7 + 2i

7i - 10

Can't do anything else

__________________________________________________________

4.)

9i + 3 - 4 + 3i

12i - 1

Cant do anything else

__________________________________________________________

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

1.  is 7-3i-(6-4i)= 1+i

2.  is 5 + (4 * i) - (9 - i) = -4+5i

3.  is  (5 * i) - 3 - (7 + (2 * i)) =  -10+3i

4.  is  (9 * i) + 3 - (4 + (3 * i)) = -1+6i

trust me guys Im in 11 grade i did this all ready

Step-by-step explanation:

Answer:

x=2, y=21

Step-by-step explanation:

there are two methods: substiution and elimation. I will be doing subtistution in this soultion:

first isolate y in either equation, it would be easier to do it in the second one.

y= 11+5x

Then, subtitute that into the first equation

2(11+5x)+8x=58 (it says 2y+8x+58 but I assume you mean 2y+8x=58?)

22+10x+8x=58

18x = 36

x=2

substitute that back into y = 11+5x, to get y=11+10 = 21

Answer:

7x + 5y = C

Step-by-step explanation:

Answer:

18 children

Step-by-step explanation:

4x$7=$28

$118-$28=90

90 divided by $5

Answer:

10 in

Step-by-step explanation:

Answer:

i got a 6 inch it ain't that small

Answer:

784.14

Step-by-step explanation:

Answer:

982.4

Step-by-step explanation:

Please Brainiest It will help me get to my quest!!??!?!

Answer:

6.0 × 10⁰

Step-by-step explanation:

599 has 3 significant figures

Answer:116.886

Step-by-step explanation:multiply all the sides then devide by 1/2

Answer:

15.312

Step-by-step explanation:

Answer:

The symbol ⊥ means is perpendicular to

Step-by-step explanation:

(brainliest)

Answer:

perpendicular to

Step-by-step explanation:

Answer: b

Step-by-step explanation:

Answer: 7:3

Step-by-step explanation:

From the question, we are given the information that the ratio of cars to trucks in a shopping mall is 3 cars to 7 trucks.

The ratio of trucks to cars will simply be the reverse of the ratio given. This will be: = 7:3

Answer:

7:3

Step-by-step explanation:

it says what is the ratio of truck to cars so how many trucks are there? 7 trucks . and how many cars are there? 3 cars so it is 7:3 because there are 7 trucks and 3 cars so you put both of them together there is your answer. Ratio's are very easy.

Step-by-step explanation:

[tex] sum \: of \: interior \\ \: angels \: is  \: 2340 \:  degrees. \\

(n−2)⋅180=2340 \\

180n - 360=2340 \\ 180n = 2700 \\

n=15 \\

number \: of \: sides=15[/tex]

the polygon is 15 sided.

Answer: d= -9

Step-by-step explanation:

Answer:

it is a not a function

Step-by-step explanation:

if you times 51 that's a hundred

Answer:

45°

Step-by-step explanation:

If sum of two angles is 90° , then they are called complementary angles.

Complement of 45 = 90 - 45 = 45

Answer:

C) 3 1/4

Step-by-step explanation:

Answer:

15 cm on the map

Step-by-step explanation:

360/120=3

5*3=15

hope this helps :)

Answer:

opens down

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) - (- 10, - 1 ) , then

y = a(x + 10)² - 1

To find a substitute (- 8, - 5) into the equation

- 5 = a(- 8 + 10)² - 1 ( add 1 to both sides )

- 4 = a(2)² = 4a ( divide both sides by 4 )

- 1 = a

y = - (x - 10)² - 1 ← equation in vertex form

To determine if it opens up/ down consider the value of a

• If a > 0 then curve opens up

• If a < 0 then curve opens down

Here a = - 1 < 0 then curve opens down

Answer:

?????.... hii erica herrrr

Answer:

Hi Liliana i love your name! it's very pretty:) my name is Melody

Step-by-step explanation:

Answer:

I dont know if you meant where it intercepts the x line or y line so for the x line it intercepts at -7.5 but for y line it intercepts at 5.5

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

The weight of the dog after 10 days is 5.9 kg.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

Weight of the baby on day one = 5 kg

This can be written as,

1 day = 5 kg

The dog grows 0.1 kg each day.

This means,

On the 2nd day, we get,

2 days = 5 + 0.1

2 days = 5.1 kg

The expression for the weight of the dog on n days can be written as,

n days = 5 + (n -1) x 0.1 _____(1)

Now,

After 10 days we get,

n = 10

From (1) we get,

10 days = 5 + (10 - 1) x 0.1

10 days = 5 + 9 x 0.1

10 days = 5 + 0.9

10 days = 5.9 kg

Thus,

The weight of the dog after 10 days is 5.9 kg.

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Answer:

y = 0 and y = -3

Step-by-step explanation:

The horizontal asymptote of each graph is:

1. y=0

2. y= -3

An asymptote of a curve y = f (x) that has an infinite branch is called a line such that the distance between the point (x, f (x)) lying on the curve and the line approaches zero as the point moves along the branch to infinity.

1.Given function:

 t(x)= [tex]6^{x}[/tex]

If we apply limit x→∞, then we get y=c as horizontal asymptote

So, [tex]\lim_{x \to \infty} 6^{x}[/tex]= 0

Hence, the asymptote will by y=0.

2. Given function:

t(x)= [tex]5^{x}[/tex]-3

If we apply limit x→∞, then we get y=c as horizontal asymptote

So, [tex]\lim_{x \to \infty} 5^{x} -3[/tex]= -3

Hence, the asymptote will by y=-3.

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Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

X< -10/3

Interval Notation:

(-∞, - 10/3)

Hope this is right :)

Answer:

5v+2d

Step-by-step explanation:

Hope I helped

Answer:

(2,3)

Step-by-step explanation:

you go up 3 and forward 2 so it would be positive positive.

Answer:

$196,797

Step-by-step explanation:

Answer:

255,000 is the value of them home

Answer:

D. x = 2, y = 2