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alexira [117]
3 years ago
10

Point J is on line segment \overline{IK} IK . Given IK=5x,IK=5x, IJ=4,IJ=4, and JK=4x,JK=4x, determine the numerical length of \

overline{IK}. IK
Mathematics
1 answer:
Fudgin [204]3 years ago
6 0

Answer:

IK = 20

Step-by-step explanation:

If Point J is on the line segment IK, then;

IK = IJ + JK

Given that

IJ = 4

IK = 5x

JK = 4x

Substitute into the expression

5x = 4 + 4x

5x - 4x  = 4

x = 4

Get the value of IK

IK = 5x

IK = 5(4)

IK = 20

Hence the numerical length of IK is 20

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A cable car begins its trip by moving up a hill. As it moves up, it gains elevation at a constant rate of 50 feet/minute until i
asambeis [7]

Answer:

he cable car's elevation will be 750 feet after 15 minutes

Step-by-step explanation:

Given:

elevation, e =2,000 feet

rate, I = 50 feet/minute

The equation that models the car's elevation, e, after t minutes is e = |t

The cable car's elevation will be 750 feet after how many minutes?

since, e = It

for 2,000 feet = 50 feet/minute  * t

t = 2000/50 =40minutes

using the same constant rate, I for 750ft, T =

since, e = It

for 750 feet = 50 feet/minute  * t

t = 750/50 =15minutes

3 0
3 years ago
Aldo takes classes at both Westside Community College and Pinewood Community College. At Westside, class fees are $98 per credit
stealth61 [152]

Let Y = total cost of both schools.

The total cost would be ( number of credits at Westside x 98) + (number of credits at Pinewood x 115).

The total number of credits he is taking is 14.

If w is the number of credits at Westside, then for Westside you have 98w ( $98 times the number of credit hours)

The equation is now y = 98w +  (number of credits at Pinewood x 115).

The number of credit hours at Pinewood would be the total credit  hours 14 minus the credit hours at Westside w, so you have 14-w, which needs to be multiplied by the cost at Pinewood.

The equation is now y = 98w + 115(14-w)

This can be simplified using the distributive property to:

Y = 98w + 1610 - 115w

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6 0
3 years ago
Carrie can fold 20 shirts in two and a half minutes. If she continues at this rate, how long will it take her to fold 50 shirts?
Ymorist [56]

Answer:

6.25 minutes

Step-by-step explanation:

First, let's simplify it down. We want to find out how many shirts she can fold in 1 minute, then multiply that by 50.

20 shirts in 2.5 minutes

20 shirts = 2.5 minutes

An equals sign is like a see-saw. If you do something to one side, you have to do it to the other side. To get 20 shirts to 1 one shirt, divide by 20. You have to do that to the other side to make it equal.

(20 divided by 20) = (2.5 divided by 20)

1 shirt = 0.125 minutes.

That's how long it takes to fold 1 shirt. To find the time for 50 shirts, multiply that by 50.

0.125 x 50 = 6.25

It will take Carrie 6.25 minutes to fold 50 shirts. Hope this helped =)

4 0
3 years ago
Isaac has 21 Green Marbles and seven blue ones if you wants to place them in identical groups without any marbles left over what
aliya0001 [1]
Issac has at least 50 marble and 20 blue ones
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