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2 years ago

What is a 40% decrease of 85?

Mathematics

1 answer:

Andrews [41]2 years ago

6 0

40% of 85 is 34 so 85-34=51

51 is your answer

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What is 17/20 - 4/15

Zinaida [17]

Hello there, today you gave us the problem $\frac{17}{20}-\frac{4}{15}$ ,

Our first step is to give them common denominators, which is $\frac{51}{60}-\frac{16}{60}$ , solve it and we get $\frac{35}{60}$ as our answer, which can be simplified down to $\frac{7}{12}$

4 0

2 years ago

The area of a triangular region is 3,136 sq . cm. if the perpendicular from one vertex to the opposite side is 64 cm, find the l

eimsori [14]

area=3136sq.cm

height=perpendicular=64 cm

base=?

area=1/2*base*height

3136=1/2*base*64

therefore,, base=98

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7 0

1 year ago

A colony of bacteria is growing exponentially according to the function below, where t is in hours. About how many hours will it

Ivenika [448]

The function is:
B ( t ) = 4 * e^(0.8 t)
4 * e^(0.8 t) = 400
e^(0.8 t) = 400: 4
e^(0.8 t) = 100 / ln
ln e^(0.8 t) = ln 100 ( and since: ln e = 1 and ln e^x = x * ln e )
0.8 t = 4.6
t = 4.6 : 0.8 = 5.76 ≈ 6
Answer:
D ) 6 hours.

4 0

3 years ago

Fill in the blank for Remainder Therom<br><br><br> x 3 + x 2 - 21x - 45 = (x + 3)(x - 5)(x+?)

icang [17]

Not sure about remainder theorem but I'm sure that the last terms should all multiply tho the last term

see the expanded form is -45

so the last terms of each binomial should multiply to -45

3 times -5 times ?=-45
-15 times ?=-45
divide by -15
?=3

the question mark is 3

5 0

2 years ago

Read 2 more answers

For a certain commodity the supply equation is given by S = 2p + 5 At a price of $1, there is a demand for 19 units of the commo

slava [35]

Answer:

The demand equation is: D=-4p+23

Step-by-step explanation:

To get started, we should keep in mind that the market price (p=3) occurs when supply equals demand ,therefore when p=3

S=2(3)+5=11

Thus, when p=3 D=11 and, according to the problem when p=1 D=19.

We already know two points on the demand curve. Great!

The demand equation is linear, so it has form D=bp+c.

The variable b is the slope of the demand linear equation . It can be computed through the formula

$b=\frac{y2-y1}{x2-x1}$ . equation 1

Substituting the two points (3,11) and (1,19) on equation 1.

$b=\frac{19-11}{1-3} =\frac{8}{-2}$

b=-4

Now we can find the value of intercept of the demand equation c trough point-slope form y-y1=b(x-x1).

We can use any of the points. Let's take (3,11) and write in point-slope :

y-11=-4(x-3)

y=-4x+11+12

y=-4x+23

Rewrite the linear equation according our variables D and p

D=-4P+23

Finally we found the demand equation !

5 0

3 years ago