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3 years ago

Expand the exppresion -7(k-3)

Mathematics

2 answers:

Lana71 [14]3 years ago

8 0

Answer:

-7k+21

Step-by-step explanation:

Tanya [424]3 years ago

3 0

Answer:

-7k +21

Step-by-step explanation:

-7(k-3)

Distribute

-7*k -7*(-3)

-7k +21

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3 years ago

I’m just not getting it! I need step by step.

Alexus [3.1K]

Answer:

$7x + 10 + x + 20 + 2x \\ 7x + x + 2x + 10 + 20 \\ 10 x + 30 \\ x = \frac{30 }{10} \\ x = 3 \\ (7x + 10) = 7 \times 3 + 10 = 31 \\ (x + 20) = 3 + 20 = 23 \\ (2 \times 3) = 6$

Step-by-step explanation:

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3 years ago

The value of k so that the sequence k-1, k+3, 3k-1 forms an arithmetic progression is?

VashaNatasha [74]

Answer:

k = 4.

Step-by-step explanation:

An arithmetic sequence has a common difference.

So for this to be arithmetic:

k + 3 - (k - 1) = 3k - 1 - (k + 3)

k + 3 - k + 1 = 3k - 1 - k - 3

3 + 1 = 2k - 4

4 + 4 = 2k

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4 years ago

Four consecutive even integers add up to 372. What are the integers

stepan [7]

Answer:

90, 92, 94, 96

Step-by-step explanation:

Let the three consecutive even integers be x, (x + 2), (x +4) & (x + 6)

$\therefore \: x + (x + 2) + (x + 4) +(x +6)= 372 \\ \therefore \:4x + 12 = 372\\ \therefore \:4x = 372 - 12 \\ \therefore \:4x = 360 \\ \therefore \:x = \frac{360}{4} \\ \therefore \:x =90 \\ x + 2 = 90 + 2 = 92 \\ x + 4 = 90 + 4 = 94\\x + 6= 90 + 6= 96 \\$

Hence, the three consecutive even integers are 90, 92, 94, 96.

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3 years ago