Gary runs a recycling centre for a local charity.
New staff have to take part in 7 hours of training before they can
work at the centre,
Gary needs to arrange a training programme for new staff.
The training programme will start on Monday 5th September
Each training day:
1) starts at 10 am and must finish by 5 pm
2)has sessions in 2 hour blocks which include a 15 minute
break
3)has a 1 hour break for lunch

The 15 minute breaks and
lunch do not count towards the 7 hours of training

At the end of the training there will be a 90 minute assessment.

Gary needs to know the least number of days he needs to allocate
for the 7 hours of training and the assessment.
Plan a training programme for Gary.
Show the start and finish times for the sessions on your plan.​

Answer:

6 units

Step-by-step explanation:

3x2=6

Answer: 6 units

Step-by-step explanation: The diameter of a circle which is a cord that passes through the center is always 2 times the radius.

So if we know that the radius of pour circle is 3 units,

we can simply multiply 2 by 3 to get 6 units.

So the diameter is 6 units.

Answer:

Hey there!

Define Variable: Let t be the number of toppings

Equation : You are correct

Solution: You are also correct.

Nicely done!

Hope this helps :)

See the attached picture:

Answer:

C. X=27

Step-by-step explanation:

-11+1/3x+9=7

1/3x=7+11-9

1/3x=9

x=9x3

x=27

Answer:

Step-by-step explanation:

√(c^5) is equivalent to c^(5/2) (the last answer choice).

Answer:

y = 2x + 125

Step-by-step explanation:

y = mx + c

c in this problem is $125.

It is the amount of money she has already saved, that is not going to change, so this is the y intercept.

She saves $2 every day, with the number of days being x.

So she saves $2 × x = 2x

2x is the gradient.

On your graph, your straight lien should run through 125 on the y-axis.

The line should have a gradient, or slope, of 2x.

Make sure to plot carefully, looking at the scale of the graph.

The equation is that the total amount Anna saves will be y = 2x + 125. And the graph of the line is drawn below.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Anna is saving to get a few keepsakes on a family excursion. She has previously saved $125, and she saves another $2 from her remittance consistently.

Let 'x' be the number of days and 'y' be the total cost. Then the equation is given as,

y = 2x + 125

The equation is that the total amount Anna saves will be y = 2x + 125. And the graph of the line is drawn below.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Answer:

Nine

Step-by-step explanation:

3 dollars for children tickets : x

5 dollars for adult tickets: y

Equation is:

3x+5y=57

Where 57 is the total amount spent

x+y=15  

where 15 is the total number of tickets bought

3x+5y=57

5(x+y)=5(15)

___________________

3x+5y=57

5x+5y=75

minus the equations top to bottom=

-2x= -18

x= -18/(-2)

x=9

He bought a total of 9 children tickets

Answer:

the answer is 9 or D

Step-by-step explanat ion:

Answer:

1.57

Step-by-step explanation:

Circumference=2pi r

=2x3.14x.25

=1.57

Answer:

C = .5 pi inches

If we approximate pi by 3.14

C =1.57 inches

If we approximate pi by  the pi button

C =1.570796327 inches

Step-by-step explanation:

The circumference of a circle is given by

C = 2* pi *r

C = 2 * pi * .25

C = .5 pi

If we approximate pi by 3.14

C =1.57 inches

If we approximate pi by  the pi button

C =1.570796327 inches

Answer:

3

Step-by-step explanation:

Plug in 2 for x:

5-2 - 3

Answer:

3

Step-by-step explanation:

f(x)= 5 - x

f(2) = 5 - 2 = 3

Answer:

40 teachers.

Step-by-step explanation:

We are to find the number of teachers (staff) who attended the excursion).

For every 2 staff, there are 15 students

The number of teachers who attended the excursion is [tex]\frac{2}{17}[/tex]  × 340 = 40 teachers

The number of students who attended the excursion is [tex]\frac{15}{17}[/tex] × 340 = 300

Answer:

The cost of one pound of sugar is $0.5 and the cost of 10lbs of sugar is $5

Bryan is driving 180 miles

Step-by-step explanation:

Answer:

c  rectangular prism i think

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

Answer:

Hope this helps

Step-by-step explanation:

For part A, we want two inequalities that have F and D as solutions, but none of the other points. The easiest way to do this is construct two lines that pass through the origin, and then figure out which way the inequalities need to face based on the points we want to include. Our lines will be:

The first line intersects F and the second line intersects D, so we need to figure out which way to point the inequalities so both include the point they do not intersect:

So our system is:

Part B: To verify, plug in the x and y values for D and F and verify that it creates true statements in the system.

Part C: You can plug in the different x, y values for the points. The points which create true statements identify farms where chickens can be raised, while those which create false statements cannot raise chickens.

Answer:

the answer is just 2

Step-by-step explanation:

start at the -3 and move right 3 and up 6 this is a inclined line so the answer will be positive the fraction put the numbers into a rise over run fraction which will be 6/3 which will reduce to 2/1 which is 2.

Answer:

The "top center" one

Step-by-step explanation:

-y=x+3

-Use the slope-intercept form to find the slope and y-intercept. (y=mx+b)

m=1 b=3

-Slope: 1 , y-intercept: 3

X   | y

-3 | 0

 0 | 3

Then you can use a graphing calculator if you'd like !

Answer:

A.) 119

420 * 0.85 is 357 and 357 * 1/3 is 119

Hope this helps ^^

Answer:

119

Step-by-step explanation:

The total number of people who had taken the survey is 420 wich is equivalent to 100%.

The percentage of people who drink coffee is 85%.

●●●●●●●●●●●●●●●●●●●●●●●●

Let x be the number of people drinking coffee

● 420 => 100%

● x => 85%

These values are proportional so we can cross-multiply them

● x*100 = 420*85

● x = (420*85)÷100

● x = 357

The number of people who drink coffee is 357.

■■■■■■■■■■■■■■■■■■■■■■■■■

Let y be the number of people who drink black coffee.

y is 1/3 of 357 since people who drink black coffee represent the third of the total number of people drinking coffee in general.

● To get y multiply 1/3 by the total number of people drinking coffee (357)

●y = (1/3)*357

● y = 119

119 is the number of people who drink black coffee

Answer : (0, -3) ; (4,21) and (2,9)

Step-by-step explanation:

y = 6x- 3

Answer: ( 0,-3), (2,9),(4,21)

Step-by-step explanation:

Answer:

D: X^2-4x-12

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

x=10,y =4

Step-by-step explanation:

x + y = 14

X-y=6​

Add the two equations together to eliminate y

x + y = 14

X-y=6​

-----------------------

2x +0y = 20

Divide by 2

2x/2 =20/2

x = 10

Then find y

x+y = 14

10+y =14

Subtract 10 from each side

10+y-10=14-10

y =4

Answer:

x = 10, y = 4

Step-by-step explanation:

One way of doing this is by doing the substitution method

To do this you first need to put x on one side (x = y + 6)

Now where there is an x in the first equation you put that instead

(y + 6) + y = 14

After this, you solve for y (y = 4)

Lastly, you put the 4 where there is a y and then solve for x

x - 4 = 6

x = 10

Answer:

Step-by-step explanation:

Answer:

  5

Step-by-step explanation:

Mei-Ling could be paired with any of the other 5 committee members, so there are 5 possible pairs than include Mei-Ling.

Answer:

72 square units.

Step-by-step explanation: You have to multiply both sides by the scale factor. 5 times 1.2 is 6, and 10 times 1.2 is 12. Then, multiply 6 by 12 to get your area of 66 square units.

Answer:

The answer is probably-36

Step-by-step explanation:

Answer:

20 units^3

Step-by-step explanation:

Well the formula for the volume of a box is,

l*w*h

l = 2

h = 2

w = 5

2*2*5

= 20 units^3

Hope this helps :)

Answer:

The volume of a box is:

20 units³

Step-by-step explanation:

The volume formula is:

v = height*width*length

v = 2*5*2

v = 20 units³

Answer:

The beam will bend by 50 mm with a mass of 100kg?

Step-by-step explanation:

The first step in solving the problem of direct variation is setting up the relation mathematically.

We can do this as follows:

The bending of the beam varies directly as its mass.

[tex]20 \alpha 40kg[/tex]

[tex]\alpha[/tex] here is the symbol representing direct variation. To remove this and replace it with an equality sign, we have to introduce a constant of proportionality, k

[tex]20 = k \times 40[/tex]

k = 20 /40 = 0.5

We can now use this to find the distance the beam will bend with a mass of 100kg?

This will be

[tex]Bending = 0.5 \times 100 =50mm[/tex]

There fore, the beam will bend by 50 mm with a mass of 100kg?

Answer:

1/20

Step-by-step explanation:

There are 20 spots on the board and the odds u will land on 5 would be 1/20

Answer:

Never

Step-by-step explanation:

Using the formula to find the sum of the interior angles, (n-2) * 180, we can work backwards.

300/180 +2 = 11/3 or 3.666. Polygons cannot have decimal sides therefore your answer is never.

Answer:

never

Step-by-step explanation:

Answer: $ 82,531.59.

Step-by-step explanation:

Formula to calculate the accumulated amount compounded daily:

[tex]A=P(1+\dfrac{r}{365})^{t}[/tex]

,where P=principal amount, t=time ( in days ), r =rate of interest.

Given: P= $51,123.21

r = [tex]2\dfrac{3}{8}\%=\dfrac{19}{8}\%=0.02375[/tex]

t= 20 years 2 months

[tex]= 20(365)+\dfrac{2}{12}(365)\\\\= 7360.83[/tex]  [1 year = 365 days, 1 year = 12 months]

Substitute all values in the formula, we get

[tex]A=(51123.21)(1+\dfrac{0.02375}{365})^{7360.83}\\\\\approx82531.59[/tex]

hence, future value = $ 82,531.59.

Answer:

4 Large coffees

Step-by-step explanation:

4 X $3.00 = $12.00

9 x $2.00 = $18.00

$18.00 (9 small coffees) + $12.00 (4 Large Coffees ) = $30.00

Answer:

4

Step-by-step explanation:

took the test