Ben is paid £12.50 per hour.
If he works for more than 7 hours in a day, he is paid overtime for the additional hours at a rate of 1.4 times his normal rate of pay.
Yesterday, Ben worked for 9 hours.
How much money did he earn?

Answer:

The formula  is [tex]R =\frac {V}{I}[/tex]

Step-by-step explanation:

The formula V = I R shows the relationship between voltage, current, and resistance.

It is given by the Ohm's law.

According to this law, at constant temperature, the current flows in any conductor is directly proportional to the potential difference applied.

V = I R

where, V is the potential difference, I is the current and R is the resistance.

The resistance is given by

[tex]R = \frac{V}{I}[/tex]

Answer:

R = V over I

Step-by-step explanation:

Answer:

[tex]7 \times 1 + 5 - 2 \times 1 - 1 = 7 + 5 - 2 - 1 = 12 - 3 = 9[/tex]

Step-by-step explanation:

Given that,

Hypotenuse, H = 13

Base, b = 12

Perpendicular, P = 5

[tex]\sin\theta=\dfrac{P}{H}\\\\\sin\theta=\dfrac{5}{13}[/tex]

[tex]\cos\theta=\dfrac{B}{H}\\\\\sin\theta=\dfrac{12}{13}[/tex]

and

[tex]\tan\theta=\dfrac{P}{B}\\\\=\dfrac{5}{12}[/tex]

Hence, this is the required solution.

Step-by-step explanation:

let the larger number = a,

and the smaller one = b.

a - b = 5 ==> a = b+5

2a + b = 7

2(b+5) +b=7

2b+10+b=7

3b= 7-10

3b = -3

b = -1

a = -1+5 = 4

Answer:

(3,3)

Step-by-step explanation:

Answer:

A = 4a² - 4ab + b²

Step-by-step explanation:

The area (A) of a square is calculated as

A = s² ( s is the side length ) , so

A = (2a - b)² ← expand using FOIL

   = (2a)² - 2ab - 2ab + (- b)²

   = 4a² - 4ab + b²

Answer:

All real number

Step-by-step explanation:

Is this ok

Answer:

C

Step-by-step explanation:

To translate something 3 units down subtract it by 3

which means our equation is

x²-2

From here it's pretty easy to see that the answer must be C

Answer:

no

Step-by-step explanation:

Proportional must go through (0,0)

0 = 2(0) +7

0 = 7

This is not true so this is not proportional

Answer:

47 ft

Step-by-step explanation:

3.14 x 15

Solution :

Given a quadratic equation :

[tex]ax^2+bx+c = 0[/tex]

Step 1 : [tex]ax^2+bx+c = 0[/tex]

Step 2 : [tex]ax^2+bx=-c[/tex]

Step 3 :  [tex]$x^2+\frac{b}{a}x = -\frac{c}{a}$[/tex]

Step 4 : [tex]$x^2+\left(\frac{b}{2a}\right)^2=\left(\frac{b}{2a}\right)^2\left(\frac{-c}{a}\right)$[/tex]

Step 5 : [tex]$\left(x+\frac{b}{2a}\right)^2=\left(\frac{b}{2a}\right)^2\left(\frac{-c}{a}\right)$[/tex]

Step 6 : [tex]$\left(x+\frac{b}{2a}\right)=\sqrt{\left(\frac{b}{2a}\right)^2\left(\frac{-c}{a}\right)$[/tex]

Step 7 : [tex]$x=\sqrt{\left(\frac{b}{2a}\right)^2\left(\frac{-c}{a}\right)} - \frac{b}{2a}$[/tex]

Step 8 : [tex]$x= \frac{-b \pm \sqrt{b^2-4ac}}{2a}$[/tex]

Thus the derivation for finding the roots of a quadratic equations.

Answer:

B D A C

Step-by-step explanation:

Edge 2021

Answer:

-7j-k-1

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

An equivalent expression is an expression which is equal to 10k + 17 - 7j - 18 - 11k. You can expand or simplify an expression to make an equivalent expression. Combine like terms to form a new equivalent expression. Like terms are terms which have the same base or variable.

10k + 17 - 7j - 18 - 11k

10k -11k + 17 - 18 - 7j                Move to group like terms together.

-k - 1 - 7j

Answer:

21

Step-by-step explanation:

If lines m and n are equal, line t intersects both of them at the exact same angle. This means that 6x+3=7x-19. Start moving the variables to one side. 3=x-19. Then move the numbers to the other side of the equation. x=21.

Answer:

2

Step-by-step explanation:

f(x) = x^2 + 1

f(-1) = (-1)^2 + 1

f(-1) = 2

Answer:

f(x)=x^2+1

f(-1)=(-1)^2+1

f(-1)=1+1

f(-1)=2

Answer:

(x,y)=(9,18)

Step-by-step explanation:

Answer:

13.03 units

using distance formula which is

root under

(X\/2-X\/1)^2 + (y\/2-y\/1)^2

Answer:

y=1/2 , x= -5/8

Step-by-step explanation:

⇒[tex]2y=1. -4x+y=3 : y=\frac{1}{2} \\\left \{ {{2y=1} \atop {-4x+y=3}} \right. \\ where: y=\frac{1}{2} \\-4x+\frac{1}{2}=3\\isolate for -4x+\frac{1}{2} =3: x=-\frac{5}{8} \\y=\frac{1}{2} : x=\frac{-5}{8}[/tex]

Answer:

you have to connect an image or provide further information

Step-by-step explanation:

Answer:

they lost 12 games

Step-by-step explanation:

18÷3=6

6×2=12

1) 36

2) 143

3) 18

4) 12

5) 15

6) 108

7) 58

The key here is to perform direct substitution in each problem.

I'll do a quick working down here

1) 9(8-4)= 9*4 =36

2) 4(5*4)+7*9= 80+63 =143

3) 114-(3*8*4)= 114-96=18

4) 24/(1*2) = 24/2 = 12

5) 19 - (28/7) = 19- 4 = 15

6) 3 (6)^2 = 3*6*6= 108

7)49 - 3(3)^2 + (6)^2 = 49-27+36= 58

You can substract 10 from 100 ten times :)

Answer:

10

Step-by-step explanation:

100 - 10 = 90 ( 1 )

90 - 10 = 80 ( 2 )

80 - 10 = 70 ( 3 )

70 - 10 = 60 ( 4 )

60 - 10 = 50 ( 5 )

50 - 10 = 40 ( 6 )

40 - 10 = 30 ( 7 )

30 - 10 = 20 ( 8 )

20 - 10 = 10 ( 9 )

10 - 10 = 0 ( 10 )

we subtract 10 from 100 10 times

Answer:

16

Step-by-step explanation:

total number of cakes baked=55+39=94 cakes

1 box can hold 6 cakes

let the number of box need to hold 94 cakes be x

:- 1 = 6 cakes

x = 94 cakes

cross multiply to get :

6x=94

divide both side by the coefficient of x i.e 6

6x/6=94/6

x= 15.7

because it a real object, the minimum nuber of boxes is 16

Answer:

Step-by-step explanation:

Since all 3 of these angle come off a straight line, they all add up to equal 180. Thus,

2j + 32 + 6j - 2 + 30 = 180 and

8j + 60 = 180 and

8j = 120 so

j = 15

Answer:

Options A

Step-by-step explanation:

Properties of the graph given for the function 'g',

y-intercept of the function 'g' → y = -4

Minimum value of g(x) → y = -4 (Value of the function at the lowest point)

Roots of g(x) → x = -2, 2

At x = 4,

g(4) = 11

Another function is,

f(x) = -x² - 4x - 4

     = -(x² + 4x + 4)

     = -(x + 2)²

Properties of the function f(x) = -(x + 2)²,

y-intercept (at x = 0) of the function 'f',

y = -(x + 2)²

y = -4

Since, leading coefficient of the function is (-1) therefore, graph will open downwards and the maximum point will be its vertex.

Maximum value of the function 'f' = Value of the function at the vertex

Coordinates of vertex → (-2, 0)

Therefore, maximum value of 'f' = 0

Roots (at y = 0) of the function 'f' → x = -2

At x = 4,

f(4) = -(4 + 2)²

     = -36

Therefore, Options A will be the correct option.

Answer:

3/2

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

people who like pistachio = 24

people who like vanilla = 36

ration pf people who prefer pistachio to the peple who prefer vanilla = 24/36

=2/3

Answer:

Decreased

Strong negative

Step-by-step explanation:

The correlation Coefficient is used to show the strength and type of relationship which exists between the dependent and independent variable. The correlation Coefficient value ranges from - 1, to 1. With values closer to either - 1 or 1 depicting a strong relationship while those closer to 0 represents weak relationship. And correlation Coefficient of 0 indicates that no relationship exiata at all. Depending in the sign, that is positive or negative, positive sign means positive relationship while a negative sign represents a negative association. Positive association is interpreted as, for every increase in A, Variable B also increase and vice versa. For negative association, When A increases, B decreases and vice versa

Answer:

3/16

Step-by-step explanation:

simply multiply all 3 numbers

Answer:

450in^2

Step-by-step explanation:

square root of 900 is 30.

Each side of square is 30.

Each side of a triangle formed by drawing a radi in the square is 15 in.

The hypotenuse is 15[tex]\sqrt{2}[/tex] that is also the radius of the circle.

A= (15[tex]\sqrt{2}[/tex])^2 times pi = 450 in^2

Answer:

132'500

Step-by-step explanation:

It is like doing tax, you just needed to multiply your number by 0.6

Answer:

$ 7,500

Step-by-step explanation:

commission=6%

House price= $125,000

Commission=6/100 ×125,000

Commission= $ 7,500

Answer:

0=0 1=1   6<8

Since 6 < 8  0.16 < 0.18

so, the hummingbird weighs more than a nickel

Step-by-step explanation:

6 is less than 8 so therefore .16 is less than .18. The nickel weighs .18 and .16 is less than that.