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marysya [2.9K]
3 years ago
8

2. Kim is x years old. Jordan is 7 years older than Kim. Four times Jordan’s age is equal to 200. (a) Write an equation that cou

ld be used to solve for Kim’s age, x. (b) How old is Kim? (c) How old is Jordan?
Mathematics
1 answer:
Tomtit [17]3 years ago
4 0
Let, the age of Kim = x
Then, Jordan's age = x + 7

It is given that, 4(x + 7) = 200

a) Equation would be: 4x + 28 = 200

b) Now, 4x = 200 - 28
x = 172/4
x = 43

So, Kim is 43 Years old.

c) Age of Jordan = x + 7
= 43 + 7 = 50

In short, Age of Jordan is 50 Years

Hope this helps!


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Which of the following linear systems has a solution <br> (5,0)<br> SOMEONE PLS HELPPP
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Answer:

D

Step-by-step explanation:

out of the choices

A) 2x-y=-2

3x+2y=-10

B) x+4y=3

2x+5y=3

C) 2x+3y=5

x-4y=-14

D) 3x+4y=15

x+y=5

only the system in D has a solution of x=5 and y=0

solve by substitution x+y=5 so x=5-y

plug into the other equation so 3(5-y)+4y=15

distribute 15-3y+4y=15 then minus 15 on both sides and combine like terms

so y=0 then put that value back into the other equation

so x+y=5 equals x+0=5 so x=5 this means the solution to the system of equations is the point (5,0)

Hope this helps! :)

3 0
2 years ago
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Check all the answers that are more precise than a weight of 200 grams.
Damm [24]

Answer:

amigo mío la respuesta es la letra B

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3 years ago
The Eco Pulse survey from the marketing communications firm Shelton Group asked individuals to indicate things they do that make
Bad White [126]

Answer:

a) There is a probability of 42% that the person will feel guilty for only one of those things.

b)There is a probability of 46% that a randomly selected person will not feel guilty for either of these reasons

Step-by-step explanation:

This probability problem can be solved by building a Venn like diagram for each probability.

I say that we have two sets:

-Set A, for those people that will feel guilty about wasting food.

-Set B, for those people that will feel guilty about leaving lights on when not in a room.

The most important information is that there is a .12 probability that a randomly selected person will feel guilty for both of these reasons. It means that P(A \cap B) = .12.

The problem also states that there is a .39 probability that a randomly selected person will feel guilty about wasting food. It means that P(A) = 0.39. The probability of a person feeling guilty for only wasting food is PO(A) = .39-.12 = .27.

Also, there is a .27 probability that a randomly selected person will feel guilty about leaving lights on when not in a room. So, the probability of a person feeling guilty for only leaving the lights on is PO(B) = 0.27-0.12 = 0.15.

a) What is the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room?

This is the probability that the person feels guilt for only one of those things, so:

P = PO(A) + PO(B) = 0.27 + 0.15 = 0.42 = 42%

b) What is the probability that a randomly selected person will not feel guilty for either of these reasons

The sum of all the probabilities is always 1. In this problem, we have the following probabilies

- The person will not feel guilty for either of these reasons: P

- The person will feel guilty for only one of those things:  PO(A) + PO(B) = 0.42

- The person will feel guilty for both reasons: PB = 0.12

So

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P = 1-0.54

P = 0.46

There is a probability of 46% that a randomly selected person will not feel guilty for either of these reasons

4 0
3 years ago
A group of students were given a spelling test the table shows their mark Mark: 6,7,8,9,10 frequency:5,4,7,10,4 a) work out the
____ [38]

Answer:

Step-by-step explanation:

From the information given,

Mark: 6,7,8,9,10

frequency:5,4,7,10,4

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Range = 10 - 6 = 4

b) The number of students in the group is the sum of the frequency. Therefore,

Number of students = 5 + 4 + 7 + 10 + 4 = 30 students

c) Mean mark = (mark × frequency)/total frequency

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3 years ago
Isaac invested $460 in an account paying an interest rate of 2.4% compounded daily. Assuming no deposits or withdrawals are made
allochka39001 [22]

Answer:

t =17 years

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Substituting in what we know

690 = 460 ( 1+ .024/365)^ 365t

690/460 = ( 1+ .024/365)^ 365t

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Dividing each side by( 1+ .024/365)

log(1.5)/ log( 1+ .024/365) = 365t

divide each side by 365

1/365 log(1.5)/ log( 1+ .024/365)  =t

t =16.8949

To the nearest year

t =17

4 0
3 years ago
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