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3 years ago

For each line, state its slope and its y-intercept. 6y-2x=15

1 answer:

8 0

Again same here, isolate the y variable to get it in y=mx+b form

6y=2x+15 divide by 6 to isolate the y and your equation is...

y=1/3x+15/6. Or 15/6 can be simplified to 5/2.

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four families go to the cinema. the reid family take 2 adults and 2 children for £18 ; the mghee family take 1 senior, 2 adults

RoseWind [281]

Answer:

$\pounds 26.50$

Step-by-step explanation:

Let

x = cost for one adult

y = cost for one child

z = cost for one senior.

The Reid family:

take 2 adults and 2 children and paid $2x+2y$ that is $\pounds 18$ , so

$2x+2y=18$

The Mghee family:

take 1 senior, 2 adults and 1 child and paid $x+2x+y$ that is $\pounds 18.50$ , so

$x+2x+y=18.50$

The Griffiths family:

take 1 senior and 3 adults and paid $z+3x$ that is $\pounds 19.50$ , so

$z+3x=19.50$

You get the system of three equations:

$\left\{\begin{array}{l}2x+2y=18\\ \\z+2x+y=18.50\\ \\z+3x=19.50\end{array}\right.$

From the first equation:

$2y=18-2x\\ \\y=9-x$

From the third equation:

$z=19.50-3x$

Substitute them into the second equation:

$19.50-3x+2x+9-x=18.50\\ \\-3x+2x-x=18.50-19.50-9\\ \\-2x=-10\\ \\2x=10\\ \\x=5$

Then

$y=9-5=4\\ \\z=19.50-3\cdot 5=19.50-15=4.50$

Hence,

the cost for one adult is $\pounds 5$

the cost for one child is $\pounds 4$

the cost for one senior is $\pounds 4.50$

The Linton family takes 1 senior, 2 adults and 3 children and paid

$\pounds 4.50+2\cdot \pounds 5+3\cdot \pounds 4=\pounds 26.50$

3 0

3 years ago

If the area of traingle TQR is 60 cm square,what is the area of the parallelogram PQRS?

Stolb23 [73]

Answer:

pls mark me brainlist .......my question was the same but no one ans I don't know

8 0

1 year ago

Which property is illustrated by the statement 8 + 2 = 2 + 8?

cricket20 [7]

Answer:

commutative

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Write an equation in x to represent each statement below. Do not solve the equation.

worty [1.4K]

1st statement: x+4=x/2+10
2nd statement: x^2 +6=2x+9

7 0

2 years ago

A circle has a radius of 3. An arc in this circle has a central angle of 20°

Alla [95]

Answer:

The length of the arc is 1.0467

Step-by-step explanation:

First of all to solve this problem we need to use the circumferenc formula of a circle:

c = circumference

r = radius = 3

π = 3.14

c = 2π * r

we replace with the known values

c = 2 * 3.14 * 3

c = 18.84

The length of the circumference is 18.84

Now we have to divide the 20° by the 360° that a circle has, to know what part of the circle it represents

20° / 360° = 1/18

Now we multiply this fraction by the circumference and obtain the length of the arc

1/18 * 18.84 = 1.0467

The length of the arc is 1.0467

4 0

2 years ago