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2 years ago

Which of the following systems has equations that are dependent?

1 answer:

4 0

Answer : number 4 is a dependent system
Explanation:
If we look at number 4
2x+2y=6 , y= -x+3
2(x+y)=6
x+y=6/2=3
y=-x+3

Now we see that the two equation have the same slope (-x) and the same y intercept (+3) we can clearly say that these 2 equation are dependent because it has infinite solution

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An equipment rental company charges a flat rate of $25, plus $13 per day for insurance. Kyle has $121. Write an inequality to re

aalyn [17]

$121 \geqslant38d$
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38. 38

$3 \geqslant d$

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3 years ago

20liters of mixture contain milk nad water in the ratio 5:3 if 4liters of the mixture are replaced by 4 liters of milk find the

Finger [1]

Answer:

the new ratio milk/water is 14:6 or 7:3

Step-by-step explanation:

milk/water=5/3

milk +water=5+3=8

ratio of milk=5/8 and ratio of water=3/8

if 4 liter removed from mixture then: 20=4= 16 liter

the amount of milk in 16 liter=16*5/8=10 liter of milk

the amount of water in 16 liter=16*3/8= 6 liter

add 4 liter of milk to the mixture: 10+4=14 liter of milk and 6 liter of water

the new ratio milk/water is 14:6 or 7:3

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3 years ago

Flock of birds is flying south, toward the equator, at an hourly rate. A scientist created the function f(x)=−60x+1320 to repres

lina2011 [118]

Answer: First and last option

The birds began 1320 miles from the equator.

The birds are flying toward the equator at a rate of 60 mph.

Step-by-step explanation:

Note that the function f(x) is a linear function.

$f (x) = - 60x + 1320$

If x represents the number of hours and f(x) represents the distance from the equator, then x = 0 means that the first hour has not yet elapsed.

When x = 0 then:

$f (0) = -60 * 0 +1320\\f (0) = 1320$ .

This means that the initial distance at which the birds of the equator are located is 1320 miles.

Then when x = 1 then:

$f (x) = -60 * 1 + 1320\\f (x) = -60 +1320$

When x = 2 then:

$f (x) = -60 * 2 + 1320\\f (x) = -120 +1320$

As x increases by one unit then the distance of the birds to the equator decreases by 60 miles. This means that birds travel at a speed of 60 miles per hour

4 0

3 years ago

Read 2 more answers

Is (4, 7) a solution to the system of equations? Explain your answer.

Angelina_Jolie [31]

Answer:

Step-by-step explanation:

Neither 4 or 7 is a solution to both equations

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2 years ago

The number of girl child per family was recorded for 1000 families with 3 children. The data obtained was as follows: [2] Number

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