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fiasKO [112]
3 years ago
14

Solve for z. 1+2z<5.

Mathematics
1 answer:
Ksju [112]3 years ago
5 0

Answer:

z < 2

Step-by-step explanation:

1 + 2z < 5

<u>-1          -1</u>

2z  < 4

z < 4 ÷ 2

z < 2

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What linear function represents the line given by the point slope equation y+7= 2/3(x+6)?
aleksandrvk [35]

Answer:

The graph of the line in the attached figure

Step-by-step explanation:

we have

y+7=\frac{2}{3}(x+6)

This is the equation of a line into point slope form

The slope is m=\frac{2}{3}

The line pass through the point (-6,-7)

To graph the line find the y-intercept

Remember that

The y-intercept of the line is the value of y when the value of x is equal to zero

so

For x=0

y+7=\frac{2}{3}(0+6)

y+7=\frac{2}{3}(6)

y+7=4

y=4-7=-3

The y-intercept is the point (0,-3)

with the point (-6,-7) and (0,-3) plot the line

see the attached figure

8 0
3 years ago
The population of a town is 14,000 and is decreasing at a rate of 1.5% each year. Write an exponential decay equation to find th
sergejj [24]

Answer: the population after 10 years is 12036

Step-by-step explanation:

We would apply the formula for exponential growth which is expressed as

A = P(1 - r)^ t

Where

A represents the population after t years.

t represents the number of years.

P represents the initial population.

r represents rate of growth.

From the information given,

P = 14000

r = 1.5% = 1.5/100 = 0.015

t = 10 years

Therefore, the exponential decay equation to find the population of the town after 10 years is

A = 14000(1 - 0.015)^10

A = 14000(0.985)^10

A = 12036

8 0
3 years ago
Darius bakes 18 muffins for his friends. he gives each of his friends an equal number of muffins and has none left over
Aleonysh [2.5K]
Factors of 18

If he has 1 friend, he gives 18 cookies
2 friends, 9 each
3 friends, 6 each
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these are the common factors of 18. I don't know whether fractions are applicable here but I hope this helps.
6 0
3 years ago
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Lelechka [254]

Answer:

Protractor

Step-by-step explanation:

You use a ruler to draw a straight line.

You use a protractor to draw an angle.

8 0
3 years ago
Read 2 more answers
What is 8 ratio to 3
olga2289 [7]

Answer:

the three equivalent ratios of 3 : 8 are 6 : 16, 12 : 32 and 18 : 48.

Step-by-step explanation:

7 0
3 years ago
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