A PE teacher has to organise two year groups into netball teams, each separately. Year 7 has 70 students and Year 8 has 98 students. If each year group must be split up equally into teams all of the same size, what is the largest team size she can use?

Answer:

y = 2x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x + 3 ← is in slope- intercept form

with slope m = 2

Parallel lines have equal slopes, so

y = 2x + c ← is the partial equation

To find c substitute (- 3, - 1) into the partial equation

- 1 = - 6 + c ⇒ c = - 1 + 6 = 5

y = 2x + 5 ← equation of parallel line

The Equation of line is y = 2x + 5.

The ratio of a line's change in y coordinate to its change in x coordinate is known as its slope.

Both the net change in the x-coordinate  is Δx and the net change in the y-coordinate are represented by Δy.

Given Equation

y = 2x + 3

and line passes through (-3, -1)

equation of line is given by,

y =mx + c

where m is slope,  given equation is parallel to graph the value of slope is equal for both

m = 2 from given equation

new equation is y = 2x + c

substitute values of x and y

-1 = 2(-3) + c

c = -1 + 6

c = 5

Equation of line is y = 2x + 5

Therefore the equation represents,

the line in slope-intercept form is y = 2x + 5

Learn more about slope of a line;

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6,000 + 700 + 30 + 8 is the expanded from.

Answer:

7 hours 15 minutes

7.25 hours

Step-by-step explanation:

Break from 11:45 am to 12:30 pm = 45 minutes

Two 15-minute unpaid coffee breaks during the day = 30 minutes

Total break hours = 45 minutes + 30 minutes

= 1 hour 15 minutes

Total work day hours from 8:30 am to 5:00 pm = 8 hours 30 minutes

How many hours are you paid?

Total hours paid = Total work day hours - Total unpaid break hours

= 8 hours 30 minutes - 1 hour 15 minutes

= 7 hours 15 minutes

b) Express your answer as a decimal in hours only

7 hours 15 minutes as a decimal

15 minutes to hour = 60 minutes/15 minutes

= 1/4

= 0.25 hours

7 hours 15 minutes as a decimal = 7 hours + 0.25 hours

= 7.25 hours

Answer: Perimeter: 28 units

Area: 32 square units

Step-by-step explanation:

Answer:

Perimeter = 24

Area =32

Step-by-step explanation:

To find the perimeter, add up the number of outside edges

4+ 2+2+2+2+2+4+2+2+2+2+2 =24 units

To find the area, count the number of boxes in each row

4 + 4+ 8+8+4+4 = 32 units^2

Answer:

20/3

Step-by-step explanation:

The Other guy is wrong, this is the correct answer from Plato

The rate of change in a direct variation relationship is the same as the constant of proportionality. The rate of change is the change in the dependent value, y, over the change in the independent value, x.

In this case, the number of tickets sold is the independent variable and the amount of money raised from ticket sales is the dependent variable. The ratio of money raised per ticket sold is the constant of proportionality.

Since 3 tickets are sold for $20, the rate of change, or slope, is 20/3

Answer:

20/3 I mean imI'm doing it rn and..... the plug

Step-by-step explanation:

Answer:

Rs.1772624

Step-by-step explanation:

Multiply 52,236 by 34

Answer:

The probability is 32/81

Step-by-step explanation:

We know that:

The probability that the team wins is p = 2/3

Then the probability of not winning is q = 1 - p = 1 - 2/3 = 1/3

The team plays 4 matches.

We want to find the probability that the team wins 1 more than half of the number of matches played.

So if there are 4 matches, the half is 2 matches

one more than half is then 3 matches.

Let's assume that the team wins the first 3 matches, and does not win the last match.

match one, the team wins with prob: P₁ = 2/3

match two, the team wins with prob: P₂ = 2/3

match three, the team wins with prob: P₃ = 2/3

match four, the team wins with prob: P₄ = 1/3

The joint probability is the product of all the individual probabilities:

P = (2/3)*(2/3)*(2/3)*(1/3)

Now we must also considerate the permutations, we have the cases:

the team does not win the fourth match

the team does not win the third match

the team does not win the second match

the team does not win the first match

So we have just four permutations, then the total probability is:

probability = 4*P = 4*(2/3)*(2/3)*(2/3)*(1/3) = 4*(8/81) = (32/81)

Answer:

:5 or 6km per hour is your answer.

Answer:

or, 2x-x^2+2x^2=1

or,2x+x^2=1

or,x^2+2x-1=0

or,x^2+x+x-1=0

or,x(x+1)+1(x-1)=0

or,(x+1)(x-1)=0

therefore x=(-1,+1)

Answer:

hope it is helpful to you

Given:

The equation is:

[tex]30n-C+200=0[/tex]

To find:

The slope intercept form of the given equation.

Solution:

We have,

[tex]30n-C+200=0[/tex]

We need to write the given equation in the form of [tex]C=mn+b[/tex].

Adding C on both sides, we get

[tex]30n-C+200+C=0+C[/tex]

[tex]30n+200=C[/tex]

Interchanging the sides, we get

[tex]C=30n+200[/tex]

This equation is in the form of [tex]C=mn+b[/tex], where m is 30 and b is 200.

Therefore, the slope intercept form of the given equation is [tex]30n-C+200=0[/tex].

Answer:

8%.

Step-by-step explanation:

There are 1000 millimeters in 1 meter.

So the percentage is (80/1000) * 100

= 80/10

= 8%.

Answer:

The rate of change is 3.5

Step-by-step explanation:

Really? Like this is easy.

Answer:

also, Marie = 1/2

Answer:

x = -4

Step-by-step explanation:

y = 3x - 1

Replace all instances of Y into the second quation.

2x - (3x-1) = 5

2x -3x +1 = 5

-x = 4

x= -4

Answer:

m= -6

Step-by-step explanation:

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Answer:

x = 15

Step-by-step explanation:

The two angles add to a straight line, so they add to 180

6x-5 + 6x+5 = 180

Combine like terms

12x = 180

Divide by 12

12x/12 =180/12

x =15

Answer:

x = 15

Step-by-step explanation:

Two angles are supplementary and their sum is 180

6x + 5 + 6x - 5 = 180 add like terms

12x = 180 divide both sides by 12

x = 15

Answer:

$250*C + $180*G = $950

Step-by-step explanation:

Solving for G, it is G = (950 - 250C)/180

Solving for C, it is C = (950 - 180G)/250

Answer:

B: 1 and 3

Step-by-step explanation:

corect me if im wrong hope it helps aki brainliest thx:)

Answer:

1115.8

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

The slant height of a cone is the length of a segment from the base to the vertext along the surface of the cone.

You can use the given dimenstions as the legs of a right triangle, and the slant heifght is rthe hyopotenuse.

L^2 = r^2 + h^2

L^2 = 5^2 + 12^2

L^2 = 169

L = 13

The slant heiht is 13 cm.

LA = (pi)rL

LA = (pi)(5 cm)(13 cm)

LA = 65(pi) cm^2

Answer:

(1, -2), (4, 1)

Step-by-step explanation:

Here we want to solve the system of equations:

y = x^2 - 4*x + 1

y = x - 3

First, we can see that in both parts we have isolated the variable "y", so we can just write:

x - 3 = y = x^2 - 4*x + 1 = y

removing the "y"s, we get:

x - 3 = x^2 - 4*x + 1

Now we can solve this for x

0 = x^2 - 4*x + 1 - x + 3

0 = x^2 - 5*x + 4

This is a quadratic equation, the solutions are given by the Bhaskara's formula, that says that for a general quadratic equation:

0 = a*x^2 + b*x + c

The solutions are given by:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]

So for the case of our equation:

0 =x^2 - 5*x + 4

The solutions are given by:

[tex]x = \frac{-(-5) \pm \sqrt{(-5)^2 - 4*1*4} }{2*1} = \frac{5 \pm 3}{2}[/tex]

So the two solutions are:

x₁ = (5 + 3)/2 = 4

x₂ = (5 - 3)/2 = 1

To find the ordered pair, we need to replace these values in one of the equations of the system, let's use the second:

y = x₁ - 3 = 4 - 3 = 1

Then we have one solution at (4, 1)

And for the other:

y = x₂ - 3 = 1 - 3 = -2

then the ordered pair is (1, -2)

Now we want to write from least to greatest with respect to the x-coordinate, then the correct order is:

(1, -2), (4, 1)

Answer:

Answer B

3 non collinear point

Answer:

bd.{4}

Step-by-step explanation:

becuaswe i had the test

Answer:

b = 7.5

[tex]b=7\frac{1}{2}[/tex]

[tex]b=\frac{15}{2}[/tex]

Step-by-step explanation:

[tex]\frac{-b}{3}= \frac{-5}{2}[/tex]

- b × 2 = - 5 × 3

- 2b = - 15

- 2b ÷ - 2 = - 15 ÷ - 2

b = 7.5

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]b=\frac{27}{2}[/tex]

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating The Answer...}}\\\\2-\frac{b}{3}=-\frac{5}{2}\\--------------\\\rightarrow 2 - 2 -\frac{b}{3}=-\frac{5}{2}-2\\\\\rightarrow-\frac{b}{3}=-\frac{9}{2}\\\\\rightarrow (-\frac{b}{3})3=(-\frac{9}{2})3\\\\\rightarrow -b = -\frac{27}{2}\\\\\rightarrow \frac{-b = -\frac{27}{2}}{-1}\\\\\rightarrow \boxed{b=\frac{27}{2}}\text{ or } \boxed{b=13.5}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

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

Answer:

$461

Step-by-step explanation:

First, find the cost with the daily charge of $29.

Multiply 14 by 29, since the car was rented for 14 days:

14(29)

= 406

Find the cost with the distance traveled. Since there is only a charge after the first 100 km, subtract 100 from 320.

320 - 100

= 220

Find the charge by multiplying this by 0.25:

220(0.25)

= 55

Add this to the daily charge:

55 + 406

= 461

So, the cost will be $461

Answer:

[tex]2.50[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (-1,0.8)[/tex]

[tex](x_2,y_2) = (0,2)[/tex]

[tex](x_3,y_3) = (1,5)[/tex]

[tex](x_4,y_4) = (2,12.5)[/tex]

Required

The rate of change (b)

The above graph is represented as:

[tex]y = ab^x[/tex]

For: [tex](x_2,y_2) = (0,2)[/tex];

We have:

[tex]y = ab^x[/tex]

[tex]2 = a * b^0[/tex]

[tex]2 = a *1[/tex]

[tex]2 = a[/tex]

[tex]a = 2[/tex]

For [tex](x_3,y_3) = (1,5)[/tex],

We have:

[tex]y = ab^x[/tex]

[tex]5 = a * b^1[/tex]

[tex]5 = a * b[/tex]

Substitute [tex]a = 2[/tex]

[tex]5 = 2 * b[/tex]

Divide by 2

[tex]2.5 = b[/tex]

[tex]b = 2.5[/tex]

Hence, the rate of change is 2.50

Answer:

11

Step-by-step explanation:

15-12=3

so

x-8=3

x=11

Answer:

22.5 in.

Step-by-step explanation:

Both triangles have 110º so that means they are equal.

12x15=180 inches

So, X=22.5 inches