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Evgesh-ka [11]
3 years ago
15

A brick weighs 5.3 pounds when it is first formed using wet clay.How many bricks of this size can be made from 402.8 pounds of w

et clay?
Mathematics
1 answer:
Sphinxa [80]3 years ago
8 0

Answer:

76

Step-by-step explanation:

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The population of rabbits on an island is growing exponentially. In the year 1991, the population of rabbits was 9100, and by 19
lisabon 2012 [21]

Answer:

39,223\ rabbits

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

y=a(1+r)^x

where

y is the population of rabbits

x is the number of years since 1991

a is the initial value

r is the rate of change

we have

a=9,100

substitute

y=9,100(1+r)^x

For the year 1998

the number of years is equal to

x=1998-1991=7 years

so

we have the ordered pair (7,18,000)

substitute in the exponential equation and solve for r

18,000=9,100(1+r)^7

(18,000/9,100)=(1+r)^7

elevated both sides to 1/7

(1+r)=1.1023

r=0.1023

therefore

y=9,100(1+0.1023)^x

y=9,100(1.1023)^x

Predict the population of rabbits in the year 2006

Find the value of x

x=2006-1991=15 years

substitute the value of x in the equation

y=9,100(1.1023)^{15}

y=39,223\ rabbits

6 0
3 years ago
Given that the measure of angle 6 is 1/8 of measure of angle 4. Find the measures of these two angles if a∥b.
vredina [299]

Answer:

see explanation

Step-by-step explanation:

Let ∠4 be x then ∠6 is \frac{1}{8} x

∠4 and ∠6 are same side interior angles and are supplementary, thus

x + \frac{1}{8}x = 180

Multiply through by 8 to clear the fraction

8x + x = 1440, that is

9x = 1440 ( divide both sides by 9 )

x = 160

Hence ∠4 = 160° and ∠6 = 160° ÷ 8 = 20°

8 0
3 years ago
Read 2 more answers
4 people can paint a house in 6 hours. a) How long would it take 1 person to paint the house?​
OlgaM077 [116]

Answer:

9 hours

Step-by-step explanation:

If there's 4 people, they each need 1.5h So you multiply 1.5 by 6 and that's how you find how long it takes for 1 person.

8 0
2 years ago
What's the value of506,087
Butoxors [25]

it is 24.75

I used a long division method to find the value of 50

06087

4 0
1 year ago
What is 2÷16×31+5980-10
vitfil [10]

Answer:47791/8 is the answer to your question but in improper fraction form

8 0
3 years ago
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