Which fraction expresses -30/54 in lowest terms? A. - 10/27
B. - 10/18
C. - 15/27
D. - 5/9

Answers

Answer 1

Answer: -30/54 in simplest form:

First, we can start out by finding the greatest common factor (GCF) of the numerator (30) and the denominator (54). To do so, we will list the factors of each number, find the common ones and then the greatest.

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54

Look through both sets of factors. Which are the common factors? 1, 2, 3, and 6 are the common factors of 30 and 54. Now, we have the find the greatest common factor. Basically, which number has greater value out of 1, 2, 3, and 6? The GCF is 6.

Second, our last step is to divide the numerator (30) and denominator (54) by our recently found GCF which was 6. This will create a new fraction which is in simplest form.

$30 / 6 = 5 \n 54 / 6 = 9$

Let's collect our new numerator and denominator and rewrite our brand new fraction in its simplest form.
$-(5)/(9)$

Answer in fraction form: $\fbox {-5/9}$
Answer in decimal form: $\fbox {-0.5556}$

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Jordan bikes at a speed of 8 2/3 mph. How many miles will he bike in:

45 minutes?

Answers

Answer:

13/2

Step-by-step explanation:

Keep in mind that speed*time=distance

ok so, if you convert 8 2/3 in to a improper fraction you'll get 26/3. Now we have to turn 45 minutes into a fraction so it's easier to multiply, that would be 45/60 because 1 hour has 60 minutes. Now, we would multiply 26/3 and 45/60 and get 78/12. Simplify that and get 13/2

Answer:390 miles

Step-by-step explanation:

speed*time=distance (keep that in mind)

8 2/3 is also equal to 26/3

take that number and multiply that by 45 min

45*26/3

that equall 390 miles

(I tried my best, I might be wrong)

Looking around a farm, the number of chickens is four times the number of pigs. If there are a total of 48 legs between the chickens and the pigs, how many pigs are there on the farm?

Answers

Answer:

There are 4 pigs on the farm

Step-by-step explanation:

Let x be the number of pigs

We are given that the number of chickens is four times the number of pigs.

Number of chickens = 4x

No. of legs of 1 pig = 4

No. of legs of x pigs = 4x

No. of legs of chicken = 2

No. of legs of 4x chicken = 2(4x)=8x

There are a total of 48 legs between the chickens and the pigs

So, $4x+8x=48$

$12x=48$

$x=(48)/(12)$

x=4

Hence There are 4 pigs on the farm

Answer:

Step-by-step explanation:

4p+%2B+2c+=+78

4%2A12+%2B+2%2A15+=+78

48+%2B+30+=+78

78+=+78

What is the solution of the system? Use elimination.
7x + 5y = 19
−7x − 2y = −16

Answers

these are the answers

Of all fractions with a denominator of 17 and a whole number numerator, how many arebetween 1/3 and 2/3?

Answers

1/3 of 17 = 17/3 = 5.666

2/3 of 17 = 11.333

The numerator needs to be between 6 and 11

6, 7, 8, 9, 10, 11

There are 6 whole numbers that can be used.

A salesperson works 40 hours per week at a job where she has two options for being paid. option a is an hourly wage of $19. option b is a commission rate of 4% on weekly sales. how much does she need to sell this week two are the same amount with the two options?