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Ostrovityanka [42]
4 years ago
11

Help! The sum of 6 consecutive even numbers is 126 what is the answer?

Mathematics
1 answer:
dybincka [34]4 years ago
8 0
6 consecutive even numbers
First x
Second x+2
Third x+4
Fourth x+6
Fifth x+8
Sixth x+10

126=x+x+2+x+4+x+6+x+8+x+10
126=6x+30
Subtract 30 from both sides
96=6x
Divide both sides by 6
x=16

Fourth x+6=16+6=22
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A certain backpack costs $22, and there is 4% sales tax. What is one way to determine what the amount of sales tax will be? Sele
Mademuasel [1]

Answer:

$0.88

Step-by-step explanation:

cost per 1% = 22 ÷ 100 = 0.22

⇒ cost of 4% = 4 x 0.22 = 0.88

Or

4% = 4/100 = 0.04

⇒ 4% of 22 = 0.04 x 22 = 0.88

Step-by-step explanation:

8 0
3 years ago
Find the common ratio of the geometric sequence: −320,80,−20,5,…−320,80,−20,5,… A. −14−14 B. 1414 C. -4 D. 4
vredina [299]
I'm assuming the sequence is: -320, 80, -20, 5

Divide each term by the previous term to get the common ratio r

r = (term 2)/(term 1) = 80/(-320) = -1/4
r = (term 3)/(term 2) = -20/80 = -1/4
r = (term 4)/(term 3) = 5/(-20) = -1/4

No matter which term you pick (as long as it's not the first one) dividing it by the previous term leads to -1/4 or -0.25 as the common ratio

Answer: -1/4

It seems like none of the answer choices have -1/4 but it could be choice A was supposed to show "-1/4" instead of "-14"? Perhaps the division sign didn't show up for some reason?

3 0
3 years ago
Help please please please
Juliette [100K]

Step-by-step explanation:

I don't know the area of the glass front of your largest building.

but just think :

1 gallon of fluid costs $12

1 gallon cleans 5000 ft²

so, now, find the area (ft²) of that glass front and see what number you have to multiply 5000 with to get the area of the glass front.

then, you have to multiply $12 with that same number, and you get the price.

let's say the building's glass front has 10000 ft².

what do I have to multiply with 5000 to get 10000 ?

this is the same question as how often fits 5000 into 10000 ? which is 10000 / 5000 = 2

and 12×2 = $24 as total cost to clean it.

our the building's glad front has 2500 ft².

what do I have to multiply with 5000 to get 2500 ?

this is the same question as how often fits 5000 into 2500 ? which is 2500 / 5000 = 1/2

and 12 × 1/2 = $6 as total cost to clean it.

8 0
3 years ago
What is the 20th term in the following arithmatic sequence<br> 1/2, 1, 3/2, 2...
denpristay [2]
The 20th term in the following arithmetic sequence1/2, 1, 3/2, 2... is 10 because;

the number are divided by 2
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4 0
3 years ago
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