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earnstyle [38]
3 years ago
13

Peter won £75 as a prize. He gave 4/5 of the prize money to Roger and Bethan. Roger and Bethan shared the present in the ratio 2

:3. Work out how much they each got.
Mathematics
1 answer:
jeka57 [31]3 years ago
4 0
Roger will get 24 Bethany will get 36
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Which mathematical property is demonstrated?
Olin [163]

Answer:

I believe the answer would be A

Step-by-step explanation:

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2 years ago
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Find the intersection points using substitution or elimination for each system of equations:
natka813 [3]

Answer:

Step-by-step explanation:

Okay, so I think I know what the equations are, but I might have misinterpreted them because of the syntax- I think when you ask a question you can use the symbols tool to input it in a more clear way, otherwise you can use parentheses and such.

Problem 1:

(x²)/4 +y²= 1

y= x+1

*substitute for y*

Now we have a one-variable equation we can solve-

x²/4 + (x+1)² = 1

x²/4 + (x+1)(x+1)= 1

x²/4 + x²+2x+1= 1

*subtract 1 from both sides to set equal to 0*

x²/4 +x^2+2x=0

x²/4 can also be 1/4 * x²

1/4 * x² +1*x² +2x = 0

*combine like terms*

5/4 * x^2+2x+ 0 =0

now, you can use the quadratic equation to solve for x

a= 5/4

b= 2

c=0

the syntax on this will be rough, but I'll do my best...

x= (-b ± √(b²-4ac))/(2a)

x= (-2 ±√(2²-4*(5/4)*(0))/(2*(5/4))

x= (-2 ±√(4-0))/(2.5)

x= (-2±2)/2.5

x will have 2 answers because of ±

x= 0 or x= 1.6

now plug that back into one of the equations and solve.

y= 0+1 = 1

y= 1.6+1= 2.6

Hopefully this explanation was enough to help you solve problem 2.

Problem 2:

x² + y² -16y +39= 0

y²- x² -9= 0

6 0
2 years ago
Hanna dose push ups in set of 3.She did 10 sets of push ups today.Then her coach asked her to do 15 more push ups.How many push
Travka [436]
45 because 1set equals 3 push ups and she did ten sets so 10sets equal 30 push ups and then her coach asked her to do 15 more so 30 plus 15 equals 45 so she did 45 push ups that day!
8 0
2 years ago
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What is the location of the point on the number line that is 3/5 of the way from a=2 to b=17
makkiz [27]

Answer:

11

Step-by-step explanation:

The distance that a is to b is b-a=17-2=15.

The line segment from a=2 to b=17 has length 15.

We need to know what is 3/5 of 15.

3/5 of 15 means what is 3/5 times 15?

(3/5)(15)=3(3)=9

So this means we are looking to make a line segment that is 9 units from 2 which is 2 to 11.

So 11 is 3/5 the way from a=2 to b=17.

Let's check from 2 to 11 that is a length of 9 and from 2 to 17 that is a length of 15.

Is 9/15 equal to 3/5?

Yes, 9/15 can be reduced to 3/5.

4 0
3 years ago
|x-(-12)|; if x>-12 write without the absolute value sign
Gennadij [26K]

Answer: -1=6-7/5

Step-by-step explanation:

6 0
2 years ago
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