All categories

2 years ago

Solve for b. 3-2(b-2)=2-7b3−2(b−2)=2−7b

Mathematics

1 answer:

lyudmila [28]2 years ago

3 0

Step-by-step explanation:

3 - 2(b - 2) = 2 - 7b

To solve this first distribute -2 to (b - 2)

3 + (-2b + (-2) x -2) = 2 - 7b

when we simplify this it becomes:

3 + (-2b + 4) = 2 - 7b

We take (-2b + 4) out of the parenthesis:

3 - 2b + 4 = 2 - 7b

Now simplify again.

7 - 2b = 2 - 7b

Now send all the b's to one side and constants on the other.

7 - 2 = -7b +2b

5 = 5b

b = 1

You might be interested in

the population of a town grows at the rate of 3 percent each year in 2010, the town had a population of 250000. what is the popu

Ulleksa [173]

Answer:

335,979 people (in Year 2020)

Step-by-step explanation:

Initial Population (Year 2010) = 250,000

Rate of Growth = 3% = 3/100 = 0.03

We want the population of the town in Year 2020 (at this rate). That is 10 years from now.

The formula for compound growth is:

$F=P(1+r)^t$

Where

F is the future value (in year 2020)

P is the present value (250,000)

r is the rate of increase per year (0.03)

t is the time in years (t = 10)

Lets substitute and find the value:

$F=P(1+r)^t\\F=250,000(1+0.03)^{10}\\F=250,000(1.03)^{10}\\F=335979.09$

Rounded, that would be:

335,979 people (in Year 2020)

4 0

3 years ago

For the data shown in the scatter plot, which is the best estimate of r? -0.95, -0.55, 0.55, 0.95

Liula [17]

From the data shown in the scater plots, the points are scattered apart which means that r is not close to 1.

Also the data points increase to the right which means that r is positive.

Therefore, the estimate for r in the data shown in the scatter plot is 0.55

6 0

2 years ago

Maria put trim around a banner that is the shape of a triangle. each side is 22 inches long. maria has 1/2 foot of trim left. wh

marissa [1.9K]

Since Maria is going to put a trim around a triangle-shaped banner with 22 inches long per side, this means that for the banner, it has a total length of 66 inches. 66 inches would be equal to 5.5 foot. This means that the total length of the trim from the start is 7 foot. Hope this helps.

6 0

2 years ago

The chart below shows the number of tickets to the annual teachers VS.

-BARSIC- [3]

The answer to this question is A. 12

6 0

2 years ago

The time, T (seconds) it takes for a pot of water to boil is inversely proportional to the cooker setting, H, applied to the pot

Dahasolnce [82]

Answer:

360

Step-by-step explanation:

T = K(1/H)

Whereas T = seconds

H = cooker setting

K = the constant of proportionality

T = (240/6)/(1/9) = (240/6)x9 = 360

6 0

1 year ago