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guapka [62]
2 years ago
14

X+1/3y=4 in slope intercept form EXPLAIN

Mathematics
1 answer:
shepuryov [24]2 years ago
6 0

Answer:

4

x

−

1

3

y

=

−

2

To convert this equation to slope-intercept form, solve for

y

.

Subtract

4

x

from both sides.

−

1

3

y

=

−

2

−

4

x

Simplify

−

1

3

y

to

−

y

3

−

y

3

=

−

2

−

4

x

Multiply both sides times

3

.

−

y

=

−

2

(

3

)

−

4

x

(

3

)

Simplify.

−

y

=

−

6

−

12

x

Rearrange the right side.

−

y

=

−

12

x

−

6

Multiply both sides times

−

1

.

y

=

12

x

+

6

m

=

12

and

b

=

6

.

Step-by-step explanation:

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How many liters of water must be added to 15 liters of 40 % sugar syrup to obtain 30 % sugar syrup?
Ivanshal [37]

Answer:

The amount of water need to be added is 5 liters.

Step-by-step explanation:

Let's "x" be amount of water in (liters) added to 15 liters of 40% of sugar syrup.

Now find the amount of sugar syrup = 40% of 15

= 0.4 × 15

The amount of sugar syrup = 6 Liters

To dilute  30% we need to find amount of water to be added.

So,

30% of (15 + x) = 6

0.3 × (15 + x) = 6

4.5 + 0.3x = 6

0.3x = 6 - 4.5

0.3x = 1.5

Dividing both sides, by 0.3, we get

x = 5

So, the amount of water need to be added is 5 liters.

6 0
3 years ago
Read 2 more answers
A population of a particular yeast cell develops with a constant relative growth rate of 0.4225 per hour. The initial population
Ksju [112]

Answer: The population after 3 hours is 13.9 mill.

Step-by-step explanation:

When we have an exponential with:

A  = initial population.

r = constant relative growth rate:

t = time.

The function that models this is:

P(t) = A*e^(k*t)

In this case we know that:

A = 3.9 mill.

r = 0.4225 1.

Then the function that models the population of this yeast cell is:

P(t) = (3.9 mill)*e^(0.4225*t)

where t represents the time in hours.

Then if we want to know the population after 3 hours, we should replace t by 3.

P(3) = (3.9 mill)*e^(0.4225*3) = 13.85 mill.

And we want to round our answer to one decimal place, then we must look at the second decimal place, we can see that is a 5, so we should round up.

The population after 3 hours is 13.9 mill.

8 0
3 years ago
The graph of a linear function is shown.
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Answer:

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5 0
3 years ago
What is 175% of 14.2
LUCKY_DIMON [66]
175% of 14.2 is saying that

1.75(14.2)=24.9

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7 0
3 years ago
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Nady [450]

Answer:

6.71

Step-by-step explanation:

6.7082039325

Round it.

6.71

6 0
2 years ago
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