WHAT IS THE SLOPE OF THE LINE6X + 3Y = 18?
Can anyone actually help me work it out please

Answers

Answer 1
Answer:

Answer:

6x + 3y = 18 \n \n y = - 2x + 6 \n \n x = 3

Answer 2
Answer:

3y=6x=18 the equation must look like this y=mx+b where m is the slope in this case it is 2 and b is the y-intercept 18 hope it helps

just divide every term by 3 to isolate y

GraceRosalia


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When Lena went to her friend's sleepover on Friday night, the temperature was
7°F. By the next morning, the temperature had risen to

1°F.
What was the change in temperature during the sleepover?

Answers

The change in temperature during Lena's sleepover was 6°F. It can therefore be said that the temperature rose by 6°F during the sleepover.

How do we calculate the change in temperature?

To find the change in temperature, subtract the initial temperature from the final temperature, in other words, Subtract the temperature on Friday night from the temperature on Saturday morning.

Change in temperature = Final temperature - Initial temperature

Change in temperature = (−1°F) - (−7°F)

Change in temperature = −1 + 7

Change in temperature = 6°F

So, the temperature rose by 6°F during the sleepover.

Find more exercises on temperature change;

brainly.com/question/21764930

#SPJ3

Answer:

6F

Step-by-step explanation:

The Pacific halibut fishery has been modeled by the differential equation dy dt = ky 1 − y K where y(t) is the biomass (the total mass of the members of the population) in kilograms at time t (measured in years), the carrying capacity is estimated to be K = 6×107 kg, and k = 0.78 per year. (a) If y(0) = 2×107 kg, find the biomass a year later. (Round your answer to two decimal places.) .52 Incorrect: Your answer is incorrect. ×107 kg (b) How long will it take for the biomass to reach 4×107? (Round your answer to two decimal places.) years

Answers

Answer:

a. The biomass weighs 2.30 * 10^7 kg after a year

b. It'll take 2.56 years to get to 4*10^7kg

Step-by-step explanation:

a.

k = 0.78,K = 6E7 kg

Given

dy/dt = ky(1- y/K)

Make ky dt the subject of formula

ky dt = dy/(1-y/K) --- make k dt the subject of formula

k dt = dy/(y(1-y/K))

k dt = K dy / y(K-y)

k dt = ((1/y) + (1/(K-y)))dy ---- integrate both sides

kt + c = ln(y/(K-y))

Ce^(kt) = y/(K-y)

Substitute the values of k and K

Ce^(0.78t) = y/(6*10^7 - y) ----- (1)

Given that y(0) = 2 * 10^7kg

(1) becomes

Ce^(0.78*0) = (2 * 10^7)/(6*10^7 - 2*10^7)

Ce° = (2*10^7)/(4*10^7

C = 2/7

Substitute 2/7 for C in (1)

2/7e^0.78t = y/(6*10^7 - y) ---(2)

We're to find the biomass a year later

So, t = 1

2/7e^0.78 = y/(6*10^7 - y)

0.62 = y/(6*10^7 - y)

y = 0.62(6*10^7 - y)

y = 0.62*6*10^7 - 0.62y

y + 0.62y = 0.62*6*10^7

1.62y = 0.62*6*10^7

1.62y = 3.72 * 10^7

y = 2.30 * 10^7kg.

Hence, the biomass weighs 2.30 * 10^7 kg after a year

b.

Here, we're to calculate the time it'll take the biomass to get to 4*10^7 kg

Substitute 4*10^7 for y in (2)

2/7e^0.78t = 4*10^7/(6*10^7 - 4*10^7)

2/7e^0.78t = 4*10^7/2*10^7

2/7e^0.78t = 2

e^0.78t = (2*7)/2

e^0.78t = 2

t = 2 * 1/0.78

t = 2.56 years

Hence, it'll take 2.56 years to get to 4*10^7kg

Please help me for a TEST review tomorrow!!

Answers

Answer:

Hope you understand my writing!

Rolling a 12 sided die find the odds in favor of rolling a 5
rolling a multiple of 3
rolling an odd number
rolling a number greater than 6

Find each probability of
P(5)
P(# less than 3)
P(odd)
P(13)

Answers

Answer:

1/12 , 1/3 , 1/2 , 1/2

Step-by-step explanation:

P(x) = favorable of x / total

plug in your conditions and you get the probablility

Answer:

1/12 for rolling a 5.

4/12 for multiples of 3. (3,6,9,12)

6/12 for rolling an odd number.(1,3,5,7,9,11)

6/12 for rolling a number greater than 6. (7,8,9,10,11,12)

Step-by-step explanation:

2. A faucet for a 30-gallon bathtub fills at a rate of 3 gallons per minute.If the drain lets water out at 1.5 gallons per minute, how long would it
take for the tub to overflow if both the faucet and drain were open at the
same time?

Answers

Answer:

20

Step-by-step explanation:

Knowing that it is a 30-gallon bathtub.

And it fills at a rate of 3 gallons per minute.

But also drains 1.5 gallons per minute.

So this is for the first minute.

3 - 1.5 = 1.5

So there will be 1.5 gallons of water in the tub after the first minute.

Now do,

30 ÷ 1.5 = 20

It will take 20 full minutes for the bathtub to fill up.

.. help. ...................

Answers

Answer:

10

Step-by-step explanation: