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2 years ago

6k ÷ 7 = -3 Solve for k

Mathematics

1 answer:

fomenos2 years ago

4 0

Answer:

k = -3.5

Step-by-step explanation:

6k ÷ 7 = -3

Multiply 7 to both sides

6k = -21

Divide both sides by 6

6k/6 = -21/6

k = -3.5

To check if the answer is correct or not, you can always plug in -3.5 for k in the equation.

6(-3.5) ÷ 7 = -3

-21 ÷ 7 = -3

-3 = -3

-3 equals -3 so it is correct that k = -3.5

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Marie's journal is 400 pages long. She has used 20% of the journal. How many pages has she used so far?

vitfil [10]

Answer:

40/ or /80

Step-by-step explanation:

Because 400 is a lot and if it's 100% is 400 right so we do 80% what would that be? we don't know right.

What about 100 pages that would be (im pretty sure) 40% or 50%.

I hope this helped!!!

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5 0

2 years ago

Read 2 more answers

The sum of two numbers is negative fifteen, and one number is five less than the other. Using the variables m and n to represent

Likurg_2 [28]

We need to use the variables m and n to represent both numbers.

Their sum must equal -15. Therefore, we can write the next equation:

m + n = -15

If one number is five less than the other, we need to choose one variable and then we can write it in terms of the other variable. Then:

n = m-5

To find the value for each number, we can replace the n equation on the first equation:

m + n = -15

m + (m-5)= -15

Then:

m + m - 5 = -15

2m -5 = -15

Solve the equation for m:

Add both sides 5 units:

2m - 5 +5 = -15+5

2m = -10

Divide both sides by 2:

2m/2 = -10/2

m = -5

Finally, replace the m value on the first equation:

m + n = -15

-5 + n = -15

Then, solve the equation for n:

Add both sides by 5:

-5+5 + n = -15 +5

n = -10

Hence, both numbers are m=-5 and n= -10.

The equations separated by a comma are m + n = -15,n = m-5.

The numbers separated by a comma are -5,-10.

6 0

1 year ago

3,053/2,8<br> Alguien me ayuda porfavor?<br> Pero con el proceso porfa

PtichkaEL [24]

Answer:

1.09

Step-by-step explanation:

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6 0

2 years ago

There are 8 pints in a gallon. How would you convert 13 pints into gallons?

Alex

Answer:

1.625 gal

Step-by-step explanation:

One pint equals 0.125 gal.

5 0

3 years ago

Suppose ten students in a class are to be grouped into teams. (a) If each team has two students, how many ways are there to form

ValentinkaMS [17]

Answer:

(a) There are 113,400 ways

(b) There are 138,600 ways

Step-by-step explanation:

The number of ways to from k groups of n1, n2, ... and nk elements from a group of n elements is calculated using the following equation:

$\frac{n!}{n1!*n2!*...*nk!}$

Where n is equal to:

n=n1+n2+...+nk

If each team has two students, we can form 5 groups with 2 students each one. Then, k is equal to 5, n is equal to 10 and n1, n2, n3, n4 and n5 are equal to 2. So the number of ways to form teams are:

$\frac{10!}{2!*2!*2!*2!*2!}=113,400$

For part b, we can form 5 groups with 2 students or 2 groups with 2 students and 2 groups with 3 students. We already know that for the first case there are 113,400 ways to form group, so we need to calculate the number of ways for the second case as:

Replacing k by 4, n by 10, n1 and n2 by 2 and n3 and n4 by 3, we get:

$\frac{10!}{2!*2!*3!*3!}=25,200$

So, If each team has either two or three students, The number of ways form teams are:

113,400 + 25,200 = 138,600

6 0

2 years ago