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Arisa [49]
1 year ago
6

Consider the following equivalent expressions: 38÷1312 and 38⋅ab. What are the values of a and b? Give the value of a followed b

y the value of b, separated by a comma. The value of a and the value of b should be the smallest possible non-negative whole number for each. nothing
Mathematics
1 answer:
yKpoI14uk [10]1 year ago
7 0

Answer:

The values of a and b are {12,13}

Step-by-step explanation:

As,

\frac{\frac{3}{8}}{\frac{13}{12}}=\frac{3}{8}\frac{a}{b}

We convert the division into a multiplication by inverting the denominator

\frac{3}{8}}\frac{12}{13}=\frac{3}{8}\frac{a}{b}

Therefore, the smallest possible non-negative whole numbers for a and b could be are 12 and 13, respectively.

You might be interested in
Simplify the following expression 3^0
Gennadij [26K]

Answer:

1

Step-by-step explanation:

Any real number to the power of 0 is one (being that there is always a denominator of 1).

5 0
1 year ago
Mr. Donley drove 504 km in each direction on a vacation
mestny [16]

Answer:

Data that we know:

He drove 504km in each direction.

Going, the average speed was 14km/h more than returning.

The total trip lasted 21 hours.

Ok, to solve this first:

Let's define the variables:

Sg = Average speed when going.

Sr = Average speed when returning.

Then we can write one of our relationships as:

Sg = Sr + 14km/h.

Now, you can recall the relation:

Time = Distance/speed.

Then we can write the equation that represents the total time of the travel as:

504km/Sg + 504km/Sr = 21h

Now we can replace the Sg by Sr + 14km/h, and get:

504km/(Sr + 14km/h) + 504km/Sr = 21h.

Now we must multiplacate by each denominator, in order to remove them:

504km*Sr + 504km*(Sr + 14km/h) = 21h*Sr*(Sr + 14km/h)

Sr*1008km + 7056km^2/h = 21h*Sr^2 + 294km*Sr

Now we can write a cuadratic equation, where i will ignore the units so it is easier to read, as:

21*Sr^2 -714*Sr - 7056 = 0

The solutions are given by the Bhaskara formula:

Sr = \frac{714 +- \sqrt{714^2 - 4*21*(-7056)} }{2*21}  = \frac{714 +- 1050}{42}

We have two solutions, one negative and one positive, and because Sr represents an average speed, it must be a positive number, then we choose the positive solution:

Sr = (714 + 1050)/42  km/h = 42km/h

Now we have the average speed for the returning, with this we can find Sg.

Sg = Sr + 14km/h = 42km/h + 14km/h = 56km/h.

6 0
1 year ago
The label on William's muffin said that one serving provided 11 grams of protein, which is 22% of the recommended daily
valentina_108 [34]

Answer: 50 grams

Step-by-step explanation:

11=0.22 a

A =50

3 0
1 year ago
Rachel has 24 red candies and Maya has 18 green candies. They want to arrange the candies in such a way that each row contains e
oksano4ka [1.4K]

Answer: 6 candies per row.

Step-by-step explanation:

The restrictions that we have are:

Each row has the same number of candies.

Each row has only one color of candy.

We want to find the largest possible rows.

We have 18 green candies and 24 red candies.

Now, to arrange them in rows of equal numbers, we should find a common factor between 18 and 24. (particularly, we want to find the largest common factor between 18 and 24).

Now, to find common factors we first take the smaller number, and we divide it by different numbers, starting by 2 (we want to divide by small numbers, so the result will be the largest factor)

18/2 = 9.

Now to see if 9 is also a factor of 24, we see if the quotient between 24 and 9 is a whole number.

24/9 = 2.66

This is not a whole number, so 9 is not a common factor.

Now we divide by the next number, 3.

18/3 = 6.

24/6 = 4.

So 6 is a common factor of 18 and 24.

Then each row will have 6 candy.

And we will have:

18/6 = 3 rows of green candy.

24/ = 4 rows of red candy.

6 0
1 year ago
PLEASE HELP! BEST ANSWER GETS BRAINLIEST ANSWER AND A HUGE THANKYOU! I REALLY APPRECIATE YOU TAKING THE TIME TO HELP ME! MUCH LO
Stels [109]
The ones with brackets in are functions, and the other ones are weekly growth rate.
5 0
2 years ago
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