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natulia [17]
3 years ago
6

Kim, Laura and Molly share £385

Mathematics
1 answer:
Feliz [49]3 years ago
3 0
We let x = Kim's amount
            y = Laura's amount
            z = Molly's amount

We have three unknowns and it should be that we have three equations to set up to be able to solve this.

x + y + z = 385    (1)
z - x = 105           (2)
2/5 = x/z              (3)

Solving simultaneously, we can get the values as follows:

x = 70
z = 175
y = 140

Therefore, the percentage that Laura got was 36.4% of the whole money. Hope this answers the question.
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Find the equation of a line passing through the point (2, 3) and having a slope of 3.
Delvig [45]

Answer:

The answer to your question is the letter B) y = 3x - 3

Step-by-step explanation:

Data

Point = (2, 3)

slope = m = 3

Process

To solve this problem just substitute the values given in the slope-point equation.

Formula

               y - y1 = m(x - x1)

   x1 = 2      y1 = 3

-Substitution

              y - 3 = 3(x - 2)

-Expand

              y - 3 = 3x - 6

-Solve for y

             y = 3x - 6 + 3

-Result

             y = 3x - 3        

5 0
3 years ago
An object is launched from a platform.
Bess [88]

Answer:

60 feet

Step-by-step explanation:

The height, h (in meters), of the object launched from a platform is represented by the equation

h=h(x)=-5x^2+20x+60

where x is the time (in seconds) passed after the launch.

The time of launch is x=0 (0 seconds passed after the launch)

Substitute x=0 to find the height:

h=h(0)=-5\cdot 0^2+20\cdot 0+60=60\ feet

4 0
4 years ago
Jamal is buying ingredients to make a large batch of granola to sell at a school fair. He buys 3.4 pounds of walnuts for $4.65 p
Whitepunk [10]
40-(4.65 x 3.4) + (6.53 x 2.1)=?

4 0
4 years ago
Kenji's electricity bill costs $21.56 per month plus $2.46 per kilowatt hour. How many kilowatt hours can he use and keep his bi
Alik [6]

Answer:

Kenjii can use 13.19 kilowatt-hour.

Step-by-step explanation:

Giving the following information:

Kenji's electricity bill costs $21.56 per month plus $2.46 per kilowatt-hour.

<u>First, we will structure the total cost formula:</u>

Total cost= 21.56 + 2.46*x

x= kilowatt-hour

54= 21.56 + 2.46x

32.44= 2.46x

13.19= x

Kenjii can use 13.19 kilowatt-hour.

5 0
3 years ago
Find the rectangular coordinates of the point with the polar coordinates (8, 3 divided by 2 pi).
ludmilkaskok [199]
(r, theta)= (8, 3/2 pi)
r=(x^2 +y^2)^(1/2)
theta= 3/2 pi
x= r(costheta)
y=r(sintheta)
x=8(cos(3/2 pi))
y=8(sin(3/2 pi))
x=8(0)
y=8(-1)
x=0
y=-8
r=((-8)^2+(0)^2)^(1/2)
r=(64+0)^(1/2)
r=8
rectangular coordinates= (0,-8)
3 0
3 years ago
Read 2 more answers
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