For what value of x does the function y=2/3x+1 have the same x and y coordinate

Mathematics

1 answer:

Brut [27]4 years ago

8 0

Answer:

Step-by-step explanation:

$y=\frac{2}{3}x +1$

If $x$ is 3, then

$y =\frac{2}{3}(3) +1$

$y=2+1$

$y=3$

Both $x$ and $y$ equal 3. So, the value of $x$ must be 3 for the function to have the same coordinate for $x$ and $y$ .

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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

A line is defined by the equation y = negative x + 3. Which shows the graph of this line? On a coordinate plane, a line goes thr

andrew-mc [135]

Answer:

A line is defined by the equation y =

negative x + 3

. Which shows the graph of this line? On a coordinate plane, a line goes

through points (0, 3) and (3, 0).