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trapecia [35]
3 years ago
12

1)4(x– 12) + 19 = -89 2)7+5(x-2)=12 3)-4x-2(2x+10)=-116 4)2(x+9)-4=68

Mathematics
1 answer:
Contact [7]3 years ago
7 0

Answer:

1. -24

Step-by-step explanation:

4x - 12+19= - 89

4x= - 89-19+12

4x=-96

X= -24

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The weight of oranges growing in an orchard is normally distributed with a mean weight of 6.5 oz. and a standard deviation of 1.
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Add 3 standard deviations above and below the mean to get the range in which 99.7% of the data in a normal distribution will fall
6.5 + 4.5 = 11
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So 2 to 11 ounces would be the interval
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2 years ago
Four students wrote sequences during math class.
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Doug because his sequence follows a rule of multiplying by -1/2 Hope I got it right for your sake.
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Invasive species often experience exponential population growth when introduced into a new environment. Zebra mussels are an inv
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Answer:

If ‘a’ is the initial population of the Zebra mussels, then every six months, the population of Zebra mussels quadruples, i.e. it becomes 4a. In t years, i.e. in 2t intervals of 6 months each, the population of Zebra mussels can be computed with the help of a geometric series a, ar, ar2, ar3, …. arn-1 ( the series being finite with n terms) where a is the 1st term , r is the common ratio and n is the number of terms in the series..

Here, in 2t years, there will be 2t + 1 terms in the geometric series including the initial term. Thus in the above series, a = 10, r = 4 and n = 2t + 1. Then the population of the Zebra mussels after 2t years is the (2t +1)st term of the geometric series I.e. 10* ( 42t)                  

In 15 months, t = 15/12 = 1.25. Then the population of Zebra mussels after 15 months will be 10*(42.5 ) = 10 * 25 = 320

If after t years, the population of the Zebra mussels become 1 million , then we have

1000000 = 10 * (42t) or, 100000= 42t or,105 = 42t    Taking logarithms of both sides, we have 5 log 10 = 2t log 4 or, t = (5log10)/(2log4) = 5/1.20 years or (5/1.20) * 12 months = 50 months, i.e. 4 years and 2 months.

Step-by-step explanation:

8 0
3 years ago
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Alex777 [14]

Answer:

2 7/20

Step-by-step explanation:

So Lets put these into a fraction form

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Take the number of pies Petra Ate and subtract it by the number of pies Pauline ate

Change the numbers to a common factor. (multiply 3/5 by 4 and 1/4 by 5 to have common denominators)

5 \frac{12}{20} - 3 \frac{5}{20}

Make These Into a Mixed Fraction

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Subtract 112-65

\frac{47}{20}

Simplify (divide 47 into 20 how many times to get into a mixed fraction)

2 \frac{7}{20}

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3 years ago
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Is 216 more than 30% of 720​
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Answer:

No, it is equal

Step-by-step explanation:

30% of 720 is 216.

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3 years ago
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