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WARRIOR [948]
3 years ago
6

Steph makes scones in three flavours: cheese, fruit and plain. She makes: • 4 times as many fruit scones as cheese scones, • 3 t

imes as many plain scones as cheese scones. She sells each scone for the same price. She makes a total of £96 from the sale of all the scones. How much does she make from the sale of the plain scones?
Mathematics
1 answer:
lakkis [162]3 years ago
3 0

Answer:

£6

Step-by-step explanation:

Let

Plain scones = x

Cheese scones = 3x

Fruits scones = 4(3x)

= 12x

Total price of scones = £96

She sells each scone for the same price.

Total price of scones = Plain scones + Cheese scones + Fruits scones

96 = x + 3x + 12x

96 = 16x

Divide both sides by 16

x = 96/16

= 6

Plain scones = x = £6

Cheese scones = 3x

= 3(6)

= £18

Fruits scones = 4(3x)

= 12x

= 12(6)

= £72

How much does she make from the sale of the plain scones?

She made £6 from the plain scones

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The diagram shows 5cm×5cm×5cm cube calculate the length of the diagonal ab
mario62 [17]

Answer:

AB = 5\sqrt{3} cm

Step-by-step explanation:

As we can see from the figure, BCDE is a square with each corner equal to 90°.

So that, BDE is a right triangle with corner BED equal to 90°

As BDE is a right triangle, according to Pythagoras theorem, we have:

         BD^{2} = BE^{2} +ED^{2} = 5^{2} + 5^{2} = 25 + 25 = 50cm

As the diagram s the cube, so that it can be seen that AD is perpendicular to the surface BCDE

=> AD is perpendicular to BD

=> ADB is the right triangle with corner ADB equal to 90°.

As ADB is the right triangle, ccording to Pythagoras theorem, we have:

AB^{2} =AD^{2} + BD^{2} = 5^{2} +50 = 25 +50 = 75 cm

=> AB = \sqrt{75}  = 5\sqrt{3} cm

Conclusion: AB = 5\sqrt{3}cm

4 0
3 years ago
What is the LCM of 9 and 21?
Naddik [55]
The least common multiple is 63
3 0
3 years ago
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V=1/3Ah<br>make h the subject of the formula when A=15 and h= 7​
ella [17]

Answer:

v =  \frac{1}{3} \times 15 \times 7 \\ 5 \times 7 \\  = 35

3 0
3 years ago
Find the dimensions of a cylinder of volume 17 m3 of minimal cost if the top and bottom are made of material that costs twice as
Viefleur [7K]

Answer:

The answer is below

Step-by-step explanation:

The volume of the cylinder with radius (r) and height (h) is given as:

Volume = πr²h

17 = πr²h

h = 17 / πr²

Let k represent the cost of the side and 2k the cost of the bottom.

The area of the side = 2πrh, hence the cost of the side = k(2πrh)

The area of the top and bottom = 2πr², hence the cost of the top and bottom = 2k(2πr²)

The total cost (T) = cost of side + cost of the top and bottom

T = k(2πrh) + 2k(2πr²)

T = 2kπ(rh + 2r²)

Put h = 17/πr²

T = 2kπ (r×17/πr² + 2r²)

T = 2kπ(17/πr + 2r²)

The minimal cost is at dT/dr = 0

\frac{dT}{dr} =0=\frac{d}{dr} [2k\pi(\frac{17}{\pi r} +2r^2)]\\\\4r-\frac{17}{\pi r^2} =0\\\\4r=\frac{17}{\pi r^2}\\\\r^3=\frac{17}{4\pi }=1.35\\\\r=\sqrt[3]{1.35}\\\\r=1.1\ m\\\\h=\frac{17}{\pi r^2}  =\frac{17}{\pi (1.1)^2} \\\\h=4.42\ m

5 0
3 years ago
Solve the equation for 'C' B + C = -D ​
vlabodo [156]

Answer:

C = -D - B

Step-by-step explanation:

Step 1: Write out equation

B + C = -D

Step 2: Subtract B on both sides

C = -D - B

5 0
4 years ago
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