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AysviL [449]
3 years ago
5

The sum of 5 consecutive integers is 100. What is the first number in this sequence?

Mathematics
1 answer:
yanalaym [24]3 years ago
5 0
So we can call first number "n"

Then all five integers would be n, n+1, n+2, n+3, n+4

So sum of them would be 5n + 10 = 100

Now you can solve for n:

5n + 10 = 100

5n = 90

n = 18

Verify: 18 + 19 + 20 + 21 + 22 = 100. All good.

So answer is 18
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Angelina_Jolie [31]
Answer:
6^-7

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3 0
3 years ago
write the equation of the line in slope intercept form with the given conditions (slope = 3 and passes through (1,-3))
cupoosta [38]

Answer:

Because we have a point and slope, we can use at the beginning the point-slope form: y-y1=m(x-x1)

Step-by-step explanation:

m=3 , x1=1 , y=-3

y-(-3)=3(x-1)

y+3=3x-3      subtract 3 from both sides

y=3x-6    the answer in the slope-intercept form y=mx+b


3 0
3 years ago
Please help no links or i will report
ELEN [110]

9514 1404 393

Answer:

  D. (1.6 + 3) × (4 − 2) ÷ 2

Step-by-step explanation:

The order of operations requires that multiplication and division be done in order of appearance, left to right, before addition and subtraction. Operations in parentheses take priority.

To get 4.6, you need to add 3 to 1.6. The various forms of 3×4-2÷2 all give 12-1 = 11, not 3.

The grouping that gets it right is ...

  (1.6 + 3) × (4 − 2) ÷ 2

  = 4.6×2÷2

  = 9.2÷2

  = 4.6

6 0
3 years ago
Read 2 more answers
URGENT: PLEASE COMPLETE THESE QUESTIONS WITH SOLUTIONS THAT ARE CORRECT. I WILL GIVE BRAINLIEST.
Lorico [155]

Answer:

a = 8.2 cm, b = 37.5 cm

Step-by-step explanation:

80/500 = (a/20.5)²

a²/420.25 = 80/500

a² = (80 * 420.25)/500 = 67.24

a = 8.2 cm

80/500 = (15/b)²

225/b²=80/500

b² = (225 * 500)/80 = 1406.25

b = 37.5 cm

5 0
2 years ago
What is the point slope form for 2,-2 and 4,-1​
Salsk061 [2.6K]

We can use the points (2, -2) and (4, -1) to solve.

Slope formula: y2-y1/x2-x1

= -1-2/4-(-2)

= -3/6

= -1/2

Point slope form: y - y1 = m(x - x1)

y - 2 = -1/2(x + 2)

______

Best Regards,

Wolfyy :)

5 0
3 years ago
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