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Monica [59]
2 years ago
15

Pierre stands on level ground at the point P, 5 metres from O.

Mathematics
1 answer:
GenaCL600 [577]2 years ago
6 0
So hmm notice the picture below

thus    \bf \cfrac{4.24}{x}=\cfrac{2x+5}{2x}\implies 8.48x=2x^2+5x\implies 8.48x-5x=2x^2
\\\\\\
3.48x=2x^2\implies 0=2x^2-3.48x\implies 0=x(2x-3.48)
\\\\\\

\begin{cases}
0=x\\
----------\\
0=2x-3.48\\
3.48=2x\\\\
\cfrac{3.48}{2}=x\\\\
1.74=x
\end{cases}

so, is clearly not 0, so it has to be 1.74

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Joel made egg sandwiches and tuna sandwiches in the ratio 2:3. He then made 15 more tuna sandwiches and the ratio changed to 1:3
Aleksandr [31]

Answer:

40 sandwiches

Step-by-step explanation:

egg sandwiches : tuna sandwiches

 2                         : 3

Multiply by x  because we do not know how many sandwiches, just the ratio

2x                       : 3x


Add 15  tuna sandwiches

2x                       : 3x+15

Now the ratio is 1:3


egg sandwiches : tuna sandwiches

 1                         : 3

Multiply by y  because we do not know how many sandwiches, just the ratio

y                           : 3y


Set the number of egg sandwiches equal

2x =y

then set the number of tuna sandwiches equal

3x+15 = 3y

We know have a system of 2 equations and 2 unknowns

Substitute y =2x into the second equation

3x+15 = 3(2x)

Distribute

3x+15 = 6x

Subtract 3x from each side

3x-3x+15 = 6x-3x

15 =3x

Divide by 3

15/3 = 3x/3

5 =x


egg sandwiches : tuna sandwiches

 2                         : 3

Multiply by x  because we do not know how many sandwiches, just the ratio

2x                       : 3x

2*5                        3*5

10                             15


He originally made 10 egg sandwiches and 15 tuna sandwiches

Then he made 15 more tuna sandwiches

The total number of sandwiches he made is

10+15+15 = 40 sandwiches  




5 0
2 years ago
First person to answer what 4585 times 5645 CORRECT first gets brainiest
PIT_PIT [208]

Answer: 25882325

Step-by-step explanation:

Simply do 4585*5645 in a calculator.

hope it helps <3

3 0
3 years ago
Read 2 more answers
Consider △RST and △RYX.
astra-53 [7]

Answer:

B. StartFraction R Y Over R S EndFraction = StartFraction R X Over R T EndFraction = StartFraction X Y Over T S EndFraction

i.e \frac{RY}{RS} = \frac{RX}{RT} = \frac{XY}{TS}

Step-by-step explanation:

Two or more shape or figures are similar when their sides and angles can be compared appropriately.

In the given figure, ΔRXY is within ΔRST. Since the two triangles are similar, then their length of sides can be compared in the form of required ratios.

So that by comparison,

\frac{RY}{RS} = \frac{RX}{RT} = \frac{XY}{TS}

Therefore, the correct option to the question is B.

8 0
2 years ago
Read 2 more answers
Please solve the equation (15m + 3)/2 = -6
stiv31 [10]

Answer:

m = - 1

Step-by-step explanation:

Given

\frac{15m+3}{2} = - 6

Multiply both sides by 2 to clear the fraction

15m + 3 = - 12 ( subtract 3 from both sides )

15m = - 15 ( divide both sides by 15 )

m = - 1

6 0
3 years ago
Read 2 more answers
(a)(−(−b))(−c) HELP PLEASE
Liono4ka [1.6K]

Answer:

No photo?

Step-by-step explanation:

3 0
3 years ago
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