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Bogdan [553]
3 years ago
9

Solve for c, 3ab-2bc=12

Mathematics
1 answer:
Troyanec [42]3 years ago
6 0
-2bc=12-3ab

c=(3ab-12)/(2b)
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Is -3 greater than 4 <br> please answer quit
Aneli [31]

Answer:

No

Step-by-step explanation:

3 0
3 years ago
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The sum of 4 and 5 is subtracted from one-third of the difference of 40 and 4.​
xxTIMURxx [149]

Answer:

Sum of 4 and 5 → 4 + 5 = 9

Difference of 40 and 4 → 40 – 4 = 36

One-third 1/3 of 36 → 12

→ 12 – 9

» 3

3 0
2 years ago
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(a) Derive an equation of the line passing through the points A(0, 545) and B(4, 726). (Let t be the independent variable and y
a_sh-v [17]

Answer:

The equation of the line is y=45.25t+545

Step-by-step explanation:

The general for of a line is:

y=mt+n       (1)

where:

m is the slope of the line and m is the intercept with the axis of the dependent variable, y in this case.

In order to obtain the value of the slope (m) we can use the corresponding slope formula:

m=\frac{y_{2}-y_1 }{t_2-t_1}         (2)

where t_1, t_2, y_1 and y_2 are the corresponding coordinates of the given points. In this case:

t_1=0\\t_2=4\\y_1=545\\y_2=726\\

Substituting these values in equation (2) we obtain:

m=\frac{726-545}{4-0}=\frac{181}{4}=45.25\\m=45.25

Hence, the line equation is now:

y=45.25t+n     (3)

Now to obtain the value of n you can follow two options:

  1. You can substitute one of your points, A or B, in equation (3). In this way, you will obtain an equation where the variable is n

Note that for this question, it is easier to select point A because of having the independent variable equals to zero t=0. Hence, substituting point A in equation (3):

45.25*0+n=545\\n=545

Therefore, the line equation is: y=45.25t+545

The second option to find n is to think of the meaning of the <em>intercept</em>. The <em>intercept </em>of a line is defined as the point in which the line crosses the axis of the dependent variable, which also means that the value of the independent variable for this point is zero. From this, we could have automatically said that n is equal to 545.

See the attachment for a plot of the line.

7 0
3 years ago
A store manager timed Janette to see how long it would take her to fold and put away a sweater, a shirt, a pair of pants, and a
HACTEHA [7]

To find the average of numbers you have to add all the numbers and divide by the number of numbers. *confusing*

25 + 25.4 + 25.35 + 26.1 = 101.85

101.85 ÷ 4 = 25.4625

♡ Hope this helped! ♡

❀ 0ranges ❀

9 0
4 years ago
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A house was valued at $100,000 in the year 1987. The value appreciated to $165,000 by the year 2002.
iris [78.8K]

Answer:

  A) The annual multiplier was 1.0339; the annual increase was 0.0339 of the value.

  B) 3.39% per year

  C) $182,000

Step-by-step explanation:

A) Let's let t represent years since 1987. Then we can fill in the numbers and solve for r.

  165000 = 100000(1 +r)^15

  1.65^(1/15) = 1 +r . . . . . divide by 100,000; take the 15th root

  1.03394855265 -1 = r ≈ 0.0339

The value was multiplied by about 1.0339 each year.

__

B) The value increased by about 3.39% per year.

__

C) S = $100,000(1.03394855265)^18 ≈ $182,000

8 0
3 years ago
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