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3 years ago

Which pairs of rational numbers are equivalent? Select all that apply.

Mathematics

2 answers:

Alla [95]3 years ago

5 0

Answer:

-0.5 and Negative one-half

11 over 20 and 0.55

negative 1 over 50 and -0.02

(A,C,D)

Step-by-step explanation:

Airida [17]3 years ago

4 0

Answer:

-0.5 and negative one-half

-1/50 and -0.02

Step-by-step explanation:

-0.5 can be rewritten as -5/10. This can be simplified to -1/2 which is the same as negative one-half.

7/10 isn't equivalent to 11/20. If you multiply 7/10 by 2/2 to get the denominator of 20, it will become 14/20 not 11/20.

-1/50 in decimal form is -0.02 so -1/50 and -0.02 are equivalent.

0.15 and 1/5 aren't equivalent because 1/5 in decimal form is is 0.2, not 0.15.

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The measure of an interior angle of a regular octagon is how many degrees greater than the measure of an interior angle of a reg

harina [27]

Answer:

Step-by-step explanation:

Sum of interior angle of any polygon = 180* (n- 2 )

Here, n= number of sides

Sum of interior angles of regular octagon = 180 * ( 8-2) = 180 * 6 = 1080°

In regular octagon, all the angles are congruent,

So, measure of an interior angle of regular octagon = 1080/8 = 135°

Sum of interior angles of regular hexagon = 180 * ( 6-2) = 180*4 = 720°

In regular hexagon, all the angles are congruent,

So, measure of an interior angle of regular hexagon = 720/6 = 120°

The measure of an interior angle of a regular octagon is greater than the measure of an interior angle of a regular hexagon by 15°

3 0

3 years ago

Luis wants to buy a pair of jeans that costs $24. If the tax rate is

muminat

Answer:

25 68/100

Step-by-step explanation:

percent means 1/100th.

7 percent=7/100

24 times 7/100= 1 68/100

24+1 68/100=25 68/100

7 0

3 years ago

A large university is interested in learning about the average time it takes students to drive to campus. The university sampled

Dmitrij [34]

Answer: The value of test statistic is 2.442.

Step-by-step explanation:

Since we have given that

n = 238

Sample mean = 23.2 minutes

Standard deviation = 20.26 minutes

Hypothesis :

$H_0:\mu=20\\H_a:\mu\neq 20$

So, the test statistic value would be

$z=\dfrac{\bar{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}\\\\z=\dfrac{23.2-20}{\dfrac{20.26}{\sqrt{236}}}\\\\z=2.442$

Hence, the value of test statistic is 2.442.

4 0

3 years ago

huong and kathyrn each day impeoved their yards by planting rose bushes and ornamental grass. they bought their supplies from th

marta [7]

Answer:

One rose bush = $3

One bunch of ornamental grass = $4

Step-by-step explanation:

We can set up a system of equations to solve for this. Let cost of 1 rose bush be r and cost of 1 ornamental grass be g. Thus we can form 2 equations:

$14r+7g=70\\5r+14g=71$

We can multiply the first equation by -2 so that we can eliminate g. Thus, we have:

$(*-2)14r+7g=70\\5r+14g=71\\-------\\-28r-14g=-140\\5r+14g=71\\--------\\-23r=-69\\r=\frac{-69}{-23}=3$

Thus, 1 rose bush is $3. Now plugging in r = 3 into the first original equation, we can solve for g:

$14r+7g=70\\14(3)+7g=70\\42+7g=70\\7g=70-42\\7g=28\\g=\frac{28}{7}=4$

Thus, 1 bunch of ornamental grass is $4.

5 0

3 years ago

Which group of numbers even or odd include more prime numbers? Why?

serg [7]

The First group i.e 1-10 include more prime numbers .(2,3,5,7,1)

Because it has the basic inputs of every number
Like 15 consists of 3×5

7 0

3 years ago

Read 2 more answers