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Vilka [71]
3 years ago
12

Make x the subject of the formula a=b(1-x)​

Mathematics
1 answer:
Fiesta28 [93]3 years ago
8 0

Answer:

x = -(a - b)/b

Step-by-step explanation:

Solve for x:

a = b (1 - x)

a = b (1 - x) is equivalent to b (1 - x) = a:

b (1 - x) = a

Divide both sides by b:

1 - x = a/b

Subtract 1 from both sides:

-x = (a - b)/b

Multiply both sides by -1:

Answer: x = -(a - b)/b

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The circumference of a circle is 3.14 inches.<br> What is the area of the circle?
SVETLANKA909090 [29]

Answer:

A = .785 inches ^2

Step-by-step explanation:

C = pi *d

We know the diameter = 2*r

C = pi*2*r

Substituting pi = 3.14 we can solve for r

3.14 = 2*pi*r

3.14 = 2*3.14 *r

Divide by 3.14 on each side

3.14/3.14 = 2*3.14 *r/3.14

1 = 2r

Divide by 2

1/2 =2r/2

1/2 =r

Now we can find the area

A = pi *r^2

A = 3.14 *(1/2)^2

A= 3.14 *1/4

A = .785 inches ^2

6 0
3 years ago
What is equivalent to 4.321 × 10−4 ?<br><br> What is equivalent to 4.321 × 10−4 ?
Arlecino [84]

Please write that as 4.321 × 10^(−4).  The " ^ " indicates exponentiation and the parentheses help make clear that your exponent here is a negative one.

Rewrite 4.321 × 10^(−4) by moving the decimal point 4 places to the left:

0.0004321

7 0
3 years ago
A table is on sale for 464 , which is 36% less than the regular price.
viva [34]
The original price was 725.
Explanation:
"36% less than" means taking 36% away from 100%. 100-36 is 64, so 64% remains when 36% is taken away. So, 64% of the original table's price is 464.
So, if the original price was x, 464=0.64x
Solve this by dividing both sides by 0,64:
725=x
So, the original price was 725.
3 0
3 years ago
How to write 2/10 as a fraction with a denominator of 100?
mrs_skeptik [129]

Answer To change a fraction into an equivalent fraction with a denominator of 100: 1. establish how many times the given denominator fits (divides) into 100 2. multiply both the numerator and the denominator by that number. Remember that factor pairs of 100 could be of assistance.

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
A boat travels for 7 hours. if it travels 4 hours downstream and 3 hours upstream. ten t covers a distance of 116 km. but if it
nadya68 [22]
Speed = Distance / Time
Distance = Speed*Time

For this problem, we should bear in mind that current speed has an impact on the boat speed...

for upstream, the boat goes against the current, and so its speed is

U = V - C

where V is the speed of the boat
C is the current speed

for downstream, it will be:

D = V + C

Convert the problem into mathematical equations:

4D + 3U = 116
3D + 4U = 108

4(V+C) + 3(V-C) = 116
4V + 4C + 3V -3C =116
7V + C = 116

3(V+C) + 4(V-C) = 108
3V + 3C + 4V - 4C = 108
7V - C = 108

Solving the equations:

7V + C = 116
7V - C = 108

14V = 224
V = 16km/hr —-> speed of boat

to get C:
7(16) + C = 116
C = 4km/hr

5 0
3 years ago
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