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diamong [38]
3 years ago
8

Factor the simplified expression using the GCF -4b + 8c + 12 - 8b - 2c + 6.

Mathematics
1 answer:
Galina-37 [17]3 years ago
8 0

Answer:

75

Step-by-step explanation:

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Which of the following numbers is NOT a solution of the equation |x + 5| = x + 5?
Nata [24]

Answer:

-10 is not a solution to the equation

Step-by-step explanation:

I don't really have an explanation

7 0
3 years ago
A train goes twice as fast downhill as it can go uphill, and 2/3 feet as fast uphill as it can go on level ground. If it goes 12
Yuri [45]

Answer:

0.5hrs

Step-by-step explanation:

Let the speed downhill be x,

Speed uphill is 0.5x. We are told than speed uphill is \frac{2}{3} the speed on flat ground. Therefore the speed on level ground will be \frac{0.5x}{2/3}=0.75x.

From this info, we can obtain the actual speed,v_g on level ground as:

x=120m/h\\0.75x=v_g\\\\\therefore v_g=\frac{0.75x \times 120m/h}{x}\\v_g=90m/h

speed, distance and time have the relation s=d/t so to obtain time to cover 45miles:

t=d/s\\=45/90\\=0.5h

Hence it takes 0.5hrs to cover 45miles on flat ground.

4 0
3 years ago
A person must score in the upper 8% of the population on an IQ test to qualify for membership in MENSA, the international high-I
Cloud [144]

Answer:

A person must get an IQ score of at least 138.885 to qualify.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 115, \sigma = 17

(a). [7pts] What IQ score must a person get to qualify

Top 8%, so at least the 100-8 = 92th percentile.

Scores of X and higher, in which X is found when Z has a pvalue of 0.92. So X when Z = 1.405.

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

1.405 = \frac{X - 115}{17}

X - 115 = 17*1.405

X = 138.885

A person must get an IQ score of at least 138.885 to qualify.

5 0
3 years ago
Read 2 more answers
a carpet cost $15 per square foot. ( When calculating the price, any fraction of a square foot is counting as a whole square foo
gregori [183]
300 dollars, 15x20 because they count any fraction as a foot, so is like you are going to buy 20 foot of carpet.
5 0
4 years ago
Part III: Bailey works part-time at a movie theater. The theater pays employees an hourly wage based on their length of employme
aleksklad [387]

From the given table, the points can be written as : (6,7.55) , (12,7.85), (18, 8.15) and (24, 8.45)

Slope m=\frac{_{y2}-_{y1}}{_{x2}-_{x1}}

m = \frac{7.85-7.55}{12-6}

m = 0.05

slope intercept form of line = y=mx+c

We plug m = 0.05, x = 6 and y = 7.55 and find c.

7.55=0.05(6)+c

c= 7.25

Required equation: y=0.05x+7.25 ... Answer

5 0
4 years ago
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