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goldfiish [28.3K]
3 years ago
14

28 - 6(2x + 4) = 124​

Mathematics
1 answer:
Iteru [2.4K]3 years ago
5 0

Answer: x = -12 is the correct answer

Step-by-step explanation: the moderator that deleted this if is so wrong then just tell me why is wrong if you are so smart.

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A zookeeper is monitoring the population of gazelles. The herd needs three times more males than females to thrive, and the zoo
avanturin [10]

Answer:

0 < x ≤ 12 and 0 < y ≤ 36

Step-by-step explanation:

Here,  x represents the number of female gazelles and y represents  the number of male gazelles.

The zoo only has room for 12 female gazelles.

∵ The number of rooms must be more than or equal to the total female gazelles ,

12 ≥ x

Also, number of animals can not be negative,

And, it must be greater than 0.

⇒ 0 < x ≤ 12,

⇒ 3(0) < 3x ≤ 3(12)

⇒ 0 < 3x ≤ 36

∵ Number of males gazelles = 3 × number of female gazelles

⇒ y = 3x

⇒ 0 < y ≤ 36

Hence, the constraints to represent a thriving population of gazelles at the zoo are,

0 < x ≤ 12,

0 < y ≤ 36

7 0
3 years ago
Read 2 more answers
Using the formula y=ab/2c, express: the variable c in terms of a, b, and y.
adelina 88 [10]

Answer:

aby/2 = c

Step-by-step explanation:

1) ab * y = ab/2c

2) aby/2 = 2c/2

Final answer: aby/2 = c

4 0
3 years ago
The travel time on a section of a Long Island Expressway (LIE) is normally distributed with a mean of 80 seconds and a standard
user100 [1]

Answer:

The travel time that separates the top 2.5% of the travel times from the rest is of 91.76 seconds.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 80 seconds and a standard deviation of 6 seconds.

This means that \mu = 80, \sigma = 6

What travel time separates the top 2.5% of the travel times from the rest?

This is the 100 - 2.5 = 97.5th percentile, which is X when Z has a p-value of 0.975, so X when Z = 1.96.

Z = \frac{X - \mu}{\sigma}

1.96 = \frac{X - 80}{6}

X - 80 = 6*1.96

X = 91.76

The travel time that separates the top 2.5% of the travel times from the rest is of 91.76 seconds.

3 0
2 years ago
The school store sells 4 pencils for $0.50. At this rate, what is the cost in dollars) of 10 pencils?
Pachacha [2.7K]

Answer:

1.25

Step-by-step explanation:

10/4=2.5

2.5*0.5

7 0
3 years ago
Read 2 more answers
Suppose that 10 years ago you bought a home for $160,000, paying 10% as a down payment, and financing the rest at 9% interest fo
Goshia [24]

Answer:

Current monthly payment on their existing mortgage would be $1158.66

Step-by-step explanation:

Total cash value = $160,000

Down payment = 10% of 160,000

Down Payment = $16,000

Balance amount = 160,000 - 16,000 = $144,000

Monthly payment formula:

P=\dfrac{r(PV)}{1-(1+r)^{-n}}

where,

PV is present value of home, PV=$144,000

r is rate per period , r=\frac{9}{1200}=0.0075

n is number of period, n=30x12 = 360

P=\dfrac{0.0075\times 144000}{1-(1+0.0075)^{-360}}

P=\$ 1158.66

Monthly payment would be same for 30 years.

Thus, Current monthly payment on their existing mortgage would be $1158.66

5 0
3 years ago
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