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Masteriza [31]
3 years ago
11

Abbey wants to use her savings of $1325 to learn yoga. The total charges to learn yoga include a fixed registration fee of $35 a

nd a monthly fee of $50. What is the maximum number of months for which Abbey can learn yoga with her savings?. . 24. . 25. . 26. . 27
Mathematics
1 answer:
butalik [34]3 years ago
7 0
Amount of savings that Abbey has = $1325
Fixed registration charge = $35
Then
Amount of money left in hand of Abbey = (1325 - 35) dollars
                                                               = 1290 dollars
Let us assume that with this amount of money,
Abbey can learn yoga for = x months
Then
50x = 1290
x = 1290/50
   = 25.8
As she cannot learn for 0.8 months, so she can learn for 25 months only. The correct option among all the options that are given in the question is the second option.
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Rename 5/6 and 14/15 using the least common denominator.
Vedmedyk [2.9K]

Answer:

25/30 and 28/30

Step-by-step explanation:

1. To find the least common denominator, you need to find the least common multiple of the two denominators which are 6 and 15. Prime factorization of these numbers gives:

6 = 2 x 3

15 = 5 x 3

A number that would evenly divide both 6 and 15 must contain 2 x 3 x 5 which is 30.

Thus 30 is the least common denominator.

2. Now we need to somehow change both fractions to make them have a denominator of 30. To do this we can multiply by fractions with same numerator and denominator since that would be like multiplying by 1.

So, 5/6 x 5/5 = 25/30

And 14/15 x 2/2 = 28/30

8 0
3 years ago
How do you use the law of cosines or law of sines if you are given a=13 m, b=8.5 m, and c=9 m?
Rus_ich [418]
The law of cosines is 
c= square root of a^2 + b^2 - 2ab cos c

the law of sines is
a = b(sin a /sin b)
3 0
3 years ago
What would cause an Inequality sign in an equation to flip?
FrozenT [24]

Answer:

When dividing both sides by a negative.

Step-by-step explanation:

When dividing OR multiplying both sides by a negative, we need to flip the inequality signs.

6 0
2 years ago
Check My answers!! Algebra
9966 [12]
1.) 4 - t = 3(t - 1) - 5
4 - t = 3t - 3 - 5
4 - t = 3t - 8
3t + t = 4 + 8
4t = 12
t = 12/4 = 3

2.) 8x - 2(x + 1) = 2(3x - 1)
8x - 2x - 2 = 6x - 2
6x - 2 = 6x - 2
0 = 0
solution is identity.

3.) 3(c - 2) = 2(c - 6)
3c - 6 = 2c - 12
3c - 2c = -12 + 6
c = -6

4.) 0.5(m + 4) = 3(m - 1)
0.5m + 2 = 3m - 3
3m - 0.5m = 2 + 3
2.5m = 5
m = 5/2.5 = 2
m = 2
5 0
3 years ago
Describe how the range of a data set can help describe its variability.
katovenus [111]

Answer:

The range is defined as the difference between the term with the highest value and the term with the lowest value. This statistic is used to measure the variability of a series of data because it provides information on how far apart the values of a tail of the distribution are from the values at the other end of the tail.

Imagine that you manufacture a type of spare part for cars that must have a measurement of 10 cm with a margin of error of 1 cm.

This is:

10 ± 1 cm

Then you expect your manufacturing process to produce pieces with identical dimensions, that is, with little variability.

If you randomly select a sample of n pieces and measure them, the variability is expected to be low, so that your process is of quality, then expect a low range preferably less than 1 cm.

{10, 10.1, 10.5, 9.8, 9,6, 10.2} Range= 10.5 - 9.6 = 0.9 cm <em> low variability</em>

But if you find that the range is up to 8 cm, this would mean that not all pieces measure around 10 cm, it means that the variability of the measurements is high.

{14, 12, 11, 8, 7, 11, 12, 15} Range = 15 - 7 = 8 cm   <em>high variability </em>

6 0
3 years ago
Read 2 more answers
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