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Sati [7]
3 years ago
15

White paint cost £2.80 a litre.

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
8 0
There are five parts to the ratio:
18 ÷ 5 is 3.6. 
Therefore you need 10.8l of white paint and 7.2l of blue paint.

10.8l * 2.80 = £30.24
7.2l * 3.50 = £25.20

The total is <span>£55.44</span>
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What is the focus of the parabola<br> (y-3)^2=8(x-5)?
tino4ka555 [31]
Hello,

Let's suppose y'=y-3
and x'=x-5
Parabola  become y'²=8x' whose focus is (8/4,0)=(2,0)

y=y'+3==>y=0+3=3
x=x'+5==>x=2+5=7
Focus is (7,3)
Rem for parabola y²=kx focus is (k/4,0)


7 0
3 years ago
Nathan ordered one cheeseburger and one bag of chips for 3.75 jack ordered two cheeseburgers and three bags of chips for 8.25 kn
Elan Coil [88]

Answer:

cheeseburger is $3 and chips is $0.75

Step-by-step explanation:

Let price of cheeseburger be x while price of a bag of chips be y hence for the case of Nathan, we can write the equation as x+y=3.75. Similarly, for Jack, we can write it as 2x+3y=8.25

x+y=3.75 hence x=3.75-y and substituting this into the second equation we have

2x+3y=8.25

2(3.75-y)+3y=8.25

7.5-2y+3y=8.25

y=8.25-7.5=0.75

x=3.75-y=3.75-0.75=3

Therefore, price of cheeseburger is $3 and chips is $0.75

7 0
3 years ago
Find A and B if sin2xcos3x = A sin 5x + B sin x
patriot [66]
Recall that

\sin(x+y)=\sin x\cos y+\cos x\sin y
\sin(x-y)=\sin x\cos y-\cos x\sin y

Adding these together, you have

\sin(x+y)+\sin(x-y)=2\sin x\cos y
\dfrac12\sin(x+y)+\dfrac12\sin(x-y)=\sin x\cos y

Replace x with 2x and y with 3x. You end up with

\dfrac12\sin(2x+3x)+\dfrac12\sin(2x-3x)=\sin2x\cos3x
\sin2x\cos3x=\dfrac12\sin5x+\dfrac12\sin(-x)=\dfrac12\sin5x-\dfrac12\sin x

and so A=\dfrac12 and B=-\dfrac12.
7 0
3 years ago
What are the steps to simplify 1-2/x-2=x+1/x+2?<br>Plz help ASAP!!!
vichka [17]

Answer:

-x^3+x^2+x-6=0

Step-by-step explanation:

Algebra

The equation is shown without proper format, we'll assume the correct equation is like

\displaystyle 1-\frac{2}{x-2}=x+\frac{1}{x+2}

Multiplying all the equation by (x-2)(x+2)

(x-2)(x+2)-2(x+2)=x(x-2)(x+2)+(x-2)

Operating

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

Rearranging and simplifying

\boxed{-x^3+x^2+x-6=0}

8 0
3 years ago
Predict the next three numbers in the pattern. ​
bekas [8.4K]
The pattern is dividing by 2 every time so the next 3 numbers will be 1/8, 1/16, 1/32
4 0
3 years ago
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