Which offer results in the cheapest cake: 8 cakes for £3.20 or 5 cakes for £1.90. Explain your answer​

Answer:

1 dozen = 12 units

7 dozen = 12 × 7 = 84 units

Correct unit price = 103.32 ÷ 84 = $1.23

The contractor's unit price incorrect because he did 103.32 ÷ 7 dozen.

The price he calculated is for the price for 1 dozen, not 1 unit

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.6432

Answer:

x = 5

Step-by-step explanation:

X+3(2×-4)=-19

x + 3(-8) = -19

x - 24 = -19

x = 5

Answer:

a) n = 3

b) n = 4

Step-by-step explanation:

a) Start off by multiplying each side by 15

[tex]\frac{15n}{15}=\frac{3(15)}{15}[/tex]

Then simplify the equation

[tex]n=3[/tex]

b) Start off by canceling the common factor of 5

[tex]\frac{n}{9} =\frac{4}{9}[/tex]

Then simplify the equation

[tex]n=4[/tex]

Answer:

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:x=-2,\:y=2}[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}-7x-6y=2\\ 7x+4y=-6\end{bmatrix}[/tex]

[tex]\mathrm{Substitute\:}x=-\frac{2+6y}{7}[/tex]

[tex]\begin{bmatrix}7\left(-\frac{2+6y}{7}\right)+4y=-6\end{bmatrix}[/tex]

[tex]\begin{bmatrix}-2-2y=-6\end{bmatrix}[/tex]

[tex]\mathrm{For\:}x=-\frac{2+6y}{7}[/tex]

[tex]\mathrm{Substitute\:}y=2[/tex]

[tex]x=-\frac{2+6\cdot \:2}{7}\\\\x=-2[/tex]

Answer:

741/10000

Step-by-step explanation:

where's the list at ?

Answer:

Step-by-step explanation:

where is the list to give you the answer

Answer:

sry but i can't help you with it bcz i don't understand spanish can u write it in clear english

Sry

Answer:

D. As the number of students in a class increases, the average rating score of the class decreases.

Hope this helps!

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

[tex]\rm \longmapsto\:3cot\theta = 4[/tex]

[tex]\rm\implies \:cot\theta = \dfrac{4}{3} [/tex]

Now, Consider

[tex]\rm \longmapsto\:\dfrac{3sin\theta + 4cos\theta }{3sin\theta - 4cos\theta } [/tex]

[tex]\rm \:  =  \: \dfrac{sin\theta \bigg[3 + 4\dfrac{cos\theta }{sin\theta } \bigg]}{sin\theta \bigg[3 - 4\dfrac{cos\theta }{sin\theta } \bigg]} [/tex]

[tex]\rm \:  =  \: \dfrac{3 + 4cot\theta }{3 - 4cot\theta } [/tex]

[tex]\rm \:  =  \: \dfrac{3 + 4 \times \dfrac{4}{3} }{3 - 4 \times \dfrac{4}{3} } [/tex]

[tex]\rm \:  =  \: \dfrac{3 + \dfrac{16}{3} }{3 - \dfrac{16}{3} } [/tex]

[tex]\rm \:  =  \: \dfrac{\dfrac{9 + 16}{3} }{ \dfrac{9 - 16}{3} } [/tex]

[tex]\rm \:  =  \: \dfrac{25}{ - 7} [/tex]

[tex]\rm \:  =  \: - \: \dfrac{25}{7} [/tex]

Hence,

[tex]\rm \longmapsto\:\boxed{\tt{ \dfrac{3sin\theta + 4cos\theta }{3sin\theta - 4cos\theta } = - \frac{25}{7} \: }} \\ [/tex]

Additional Information:-

Relationship between sides and T ratios

sin θ = Opposite Side/Hypotenuse

cos θ = Adjacent Side/Hypotenuse

tan θ = Opposite Side/Adjacent Side

sec θ = Hypotenuse/Adjacent Side

cosec θ = Hypotenuse/Opposite Side

cot θ = Adjacent Side/Opposite Side

Reciprocal Identities

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

sin θ = 1/cosec θ

cos θ = 1/sec θ

tan θ = 1/cot θ

Co-function Identities

sin (90°−x) = cos x

cos (90°−x) = sin x

tan (90°−x) = cot x

cot (90°−x) = tan x

sec (90°−x) = cosec x

cosec (90°−x) = sec x

Fundamental Trigonometric Identities

sin²θ + cos²θ = 1

sec²θ - tan²θ = 1

cosec²θ - cot²θ = 1

Answer:

The volume of the solid is 24 in^3

Step-by-step explanation:

The most general form of the equation of the volume of a pyramid is

V = (1/3)(base area)(height)

In this case,

V = (1/3)(18 in^2)(4 in) = 24 in^3

Answer:

Step-by-step explanation:

Ti piacciono i banane scimmia

Answer:no idea cause we can’t see what or where m is

Step-by-step explanation:but if two rays are perpendicular then they intersect at 90 degrees and the slope of ray1 =m1 and the slope or ray2 = m2 and m1 x m2 =-1

Step-by-step explanation:

let the integer be x .

three consecutive integers : x, x+1, x+2.

according to the problem,.

Let the first of the 3 consecutive numbers be X.

Therefore the second number is (X + 1)

The third number is therefore (X + 2)

The product of the 3 consecutive numbers is:

( X )( X + 1 )( X + 2 ) = 3360 Equation( 1 )

Expanding Equation ( 1 ) gives

X³ + 3X² + 2X - 3360 = 0 Equation (2)

Solve Equation (2 ) which gives the following values for X

X1 = 14

X2 = - 8.5 + i (12.951834)

X3 = - 8.5 - i (12.951834).

the numbers are 14,15,16.

sum is 14+15+16 = 45.

hope this helps you.

Answer: 4. is an obtuse angle.

Step-by-step explanation: An obtuse angle is 180 degrees or more.

Answer:

$283

Step-by-step explanation:

Amount of money left in Clarise's account

= $290 - $102 - $75 + $170

= $283

Answer:

283

Step-by-step explanation:

Answer:

f(5)=14

f(3)=122

Step-by-step explanation:

Answer:

it is an equation that is always valid

Step-by-step explanation:

3(xy) = 3(xy)

3(xy)-(3xy) = 0

0 = 0

Answer:

2/9 < 11/18 < 2/3 < 5/6

Answer:

-10

Step-by-step explanation:

Subtract 4 from both sides

m/5 = -2

Multiply by 5

m = -10

Step-by-step explanation:

4+m/5 = 2

4+m =2*5

4+m = 10

m= 10 -4

='6

1/2 DID THE TEST                

Step-by-step explanation:

Answer:

51

Step-by-step explanation:

11+(-7)^2-9 - original

11+49-9 - square the -7, since its in brackets the negative applies too and a negative x a negative = positive, so it ends up as 7x7+49

60-9 - add both positives 11+49=60

51 - subtract 9 from 60, 60-9=51

Answer:

x ≈ 50.8°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{JK}{IK}[/tex] = [tex]\frac{6.2}{8}[/tex] , then

x = [tex]sin^{-1}[/tex] ([tex]\frac{6.2}{8}[/tex] ) ≈ 50.8° ( to the nearest tenth )

Answer:

y=4-3x

Step-by-step explanation:

Hope this helps!!!

Answer:

69

Step-by-step explanation:

funny number funny number

Answer:

The number of ways to choose 10 people out of 14 people is given by 14C10 which is read "14 choose 10"  

Only 1 of these combinations will result in no information being given to any of the 4 spies.  

Can you figure out the probability from these 2 facts?  

Step-by-step explanation: