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Lorico [155]
3 years ago
6

What value of k causes the terms 6, 4k, 26 to form an arithmetic sequence?​

Mathematics
2 answers:
Lerok [7]3 years ago
6 0

There are 3 values given,

Find the difference between the first and last values:

26 - 6 = 20

Divide that by 2:

20 / 2 = 10

The difference between each number needs to be 10, so adding 10 to the first number would be 6 +10 = 16

Now 4k = 16

Divide both sides by 4:

k = 16/4

k = 4

Julli [10]3 years ago
3 0

Answer:

k = 4.

Step-by-step explanation:

If it is arithmetic then the differences between consecutive terms will be equal, so:

4k - 6 = 26 - 4k

4k + 4k = 26 + 6

8k = 32

k = 32/8

k = 4.

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Gabriella and her children went into a restaurant where they sell hotdogs for $4 each and tacos for $2 each. Gabriella has $30 t
Lorico [155]

A possible solution to the inequality is 2 hotdogs and 8 tacos.

Let x represents the number of hotdogs purchased and y represents the number of tacos purchased.

Gabriella has $30 to spend and must buy a minimum of 9 hotdogs and tacos altogether.

Hence:

4x + 2y ≤ 30    (1)

x + y ≥ 9      (2)

Also:

x ≥ 2   (3)

A possible solution to the inequality is 2 hotdogs and 8 tacos.

Find out more on inequality at: brainly.com/question/241541

6 0
2 years ago
Paul has $40000 to invest. His intent is to earn 9% interest on his investment. He can invest part of his money at 6% and part a
Black_prince [1.1K]

Paul needs to invest $10000 at 6% interest and $30000 at 10% interest to make a total of 9% return on his $40000.

<em><u>Explanation</u></em>

Suppose, the amount of money at 6% interest is x

As Paul has total $40000 to invest, so the amount of money at 10% interest will be: (40000-x) dollar

His intent is to earn 9% interest on his $40000 investment. So, the equation will be......

0.06x+0.10(40000-x)=0.09*40000\\ \\ 0.06x+4000-0.10x=3600\\ \\ -0.04x=3600-4000=-400\\ \\ x=\frac{-400}{-0.04}=10000

So, Paul needs to invest <u>$10000 at 6% interest</u> and ($40000- $10000) or <u>$30000 at 10% interest </u>to make a total of 9% return on his $40000.

3 0
3 years ago
Read 2 more answers
I need to find the surface area of this box. Will someone help me?
Jlenok [28]

Answer: 480. Hope it helps! :)

Step-by-step explanation:first, you times 10 times 8, you get 80. then, you times it by six. Your answer is 480.

6 0
3 years ago
You buy shoes for $57.84. the sales tax rate is 4%. estimate the sales tax. show your work.
aivan3 [116]
4% of $57.84 
= 2.31 est. is sales tax


3 0
3 years ago
Can someone please help me??
Fantom [35]

Answer:

b=3, y=6

Step-by-step explanation:

Label the 2 equations:

2b +6y= 42 -----(1)

2b +4y= 30 -----(2)

(1) -(2):

(2b +6y) -(2b +4y)= 42 -30

2b +6y -2b -4y= 12

2y= 12

y= 12 ÷2 <em>(</em><em>÷</em><em>2</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

y= 6

Susbt. y=6 into (2):

2b +4(6)= 30

2b +24=30

2b= 30 -24 <em>(</em><em>-24</em><em> </em><em>on</em><em> </em><em>b</em><em>o</em><em>t</em><em>h</em><em> </em><em>sides</em><em>)</em>

2b= 6

b= 6 ÷2

b= 3

3 0
2 years ago
Read 2 more answers
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