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2 years ago

Which property of equality can be used to justify this step?

Mathematics

2 answers:

DerKrebs [107]2 years ago

8 0

Answer:

Addition Property of Equality

Step-by-step explanation:

15-10x = 6x

We are adding 10x to each side, which we can do by the addition property of equality.

Addition Property of Equality

If a=b

then a+c = b+c

kompoz [17]2 years ago

3 0

Answer:

C. Addition Property of Equality

Step-by-step explanation:

Addition Property of Equality allows one to add the same quantity to both sides of an equation.

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A walking path across a park is represented by the equation y= -3x - 6 . A new path will be built perpendicular to this path. Th

Romashka [77]

Answer:

The equation that represents the new path is y=(1/3)x+4

Step-by-step explanation:

step 1

Find the slope of the give line

we have

y=-3x-6

the slope m is equal to

m=-3

step 2

Find the slope of the perpendicular line to the given line

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal of each other

we have

m=-3 -----> slope of the given line

therefore

The slope of the perpendicular line is equal to

m=1/3

step 3

With m=1/3 and the point (-3,3) find the equation of the line

y-y1=m(x-x1)

substitute

y-3=(1/3)(x+3)

y=(1/3)x+1+3

y=(1/3)x+4 -----> equation that represent the new path

8 0

2 years ago

Rafael earns $10.50 per hour helping his neighbor with their chores. He is curious how much money he will earn depending on the

dalvyx [7]

Okay so he earns 10:50 per hour so there 24 hours in a day you can times 10:50 and 24 hope this helps

8 0

2 years ago

Read 2 more answers

A math teacher was frustrated at the number of students leaving their graphing calculator behind in her classroom at the end of

AleksAgata [21]

Answer:

The 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators is (0.4652, 0.8148).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

A random sample of 50 students is selected, and of the students questioned, 32 had their names written on their graphing calculators.

This means that $n = 50, \pi = \frac{32}{50} = 0.64$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.64 - 2.575\sqrt{\frac{0.64*0.36}{50}} = 0.4652$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.64 + 2.575\sqrt{\frac{0.64*0.36}{50}} = 0.8148$

The 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators is (0.4652, 0.8148).

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2 years ago

What is the slope of the line that passes through the points ( 5 , 6 )and ( 5 , 9 ) ? Write your answer in simplest form.

Lapatulllka [165]

Answer:

Step-by-step explanation:

9-6

over

6-5

=3/1

simplify

m=3

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2 years ago

Jude is placing boxes on a shelf that holds no more than 80 lb. He has x small boxes that weigh 5 lb each and y large boxes that

sweet [91]

5x + 12y < 80 and x ≥ 4 and y > 0

6 0

3 years ago