4x-4+4x-10=5x+1 need help

Lucy is tiling her bathroom. She buys white and blue tiles in the ratio 13:2.Blue tiles cost £2.80 while white tiles cost £2.35.

krok68 [10]

Answer:

* Lucy spent £289.2 on tiles *

Step-by-step explanation:

We know that the tiles are present in a 13 to 2 ratio ( 13 : 2 ) so if there are 16 blue tiles that she buys, the number of red tiles bought should be represented the following -

$\frac{13}{2}$ = $\frac{x}{16}$ ... now this is only assuming that the 13 : 2 ratio is meant by white : blue tiles. Let's solve through cross - multiplication,

13 $*$ 16 = 2 $x$ ,

208 = 2 $x$ ,

$x$ = 104 white tiles

So if there are 104 white tiles, and 16 blue tiles, we can determine the total amount Lucy spent on tiles by associating the cost to the type of tile,

£2.80 $*$ 16 = £44.8,

£2.35 $*$ 104 = £244.4,

Total Amount Lucy Spent on Tiles = £44.8 + £244.4 = £289.2

8 0

3 years ago

Write an equation of cosine function with amplitude 2 and a period 4pi

Arisa [49]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\
% function transformations for trigonometric functions
\begin{array}{rllll}
% left side templates
f(x)=&{{ A}}cos({{ B}}x+{{ C}})+{{ D}}\\
f(x)=&{{ A}}sin({{ B}}x+{{ C}})+{{ D}}\\
f(x)=&{{ A}}tan({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\

\end{array}$

$\bf \begin{array}{llll}
% right side info
\bullet \textit{ stretches or shrinks}\\
\quad \textit{horizontally by amplitude } |{{ A}}|\\\\
\bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}
\end{array}$

$\bf \begin{array}{llll}


\bullet \textit{vertical shift by }{{ D}}\\
\qquad if\ {{ D}}\textit{ is negative, downwards}\\
\qquad if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{function period}\\
\qquad \frac{2\pi }{{{ B}}}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\
\qquad \frac{\pi }{{{ B}}}\ for\ tan(\theta),\ cot(\theta)
\end{array}$

now.. hmmm let's see, keeping in mind the template above

so, amplitude of 2, A=2, thus |A| = ±2, so, you can use either

and period of 4π, well, that simply means that

$\bf \cfrac{2\pi }{B}=4\pi \implies \cfrac{2\pi }{4\pi }=B\implies \cfrac{1}{2}=B\\\\
-----------------------------\\\\

\begin{array}{llll}
f(\theta)=&\pm 2cos&\left(\frac{1}{2}\theta \right)\\
&\ \uparrow &\ \uparrow \\
&A&B
\end{array}$

8 0

4 years ago

Myra has a 17 foot roll of crepe paper to make 8 streamers to decorate for a party. How long will each streamer be if she cuts t

Vsevolod [243]

Each streamer would be 2.125 feet long

5 0

4 years ago

Hanna shops for socks that cost $2.99 for each pair and blouses that cost $12.99 each. Let x represent the number

BigorU [14]

Answer:

2.99x + 12.99y = 43.92

Step-by-step explanation:

socks cost 2.99 and she bought x

2.99x

blouses cost 12.99 and she bought y

12.99y

The total is

2.99x + 12.99y

The total cost was 43.92

2.99x + 12.99y = 43.92

3 0

3 years ago

Read 2 more answers

The three lines represent the amount of water, over time, in three tanks that are the same size. Which tank is filling most quic

Tpy6a [65]

Answer:

Tank A

Step-by-step explanation:

Got it right on Kahn

4 0

3 years ago