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LUCKY_DIMON [66]
3 years ago
14

Write an equation or a proportion to solve. ​What number is 24% of 80?

Mathematics
2 answers:
Pepsi [2]3 years ago
5 0

Answer:

19.20

Step-by-step explanation:

24%×80 = 24×80/100 = 1920/100 = 19.20

velikii [3]3 years ago
5 0
24%x80
(24/100)x80
(24x80) divided by 100
1920 divided 100
which is 19.2
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the second term of a geometric sequence is 18 and the fourth term is 8 find the common ratio . And find the sum of the first 6 t
777dan777 [17]

Answer:

  • ratio: 2/3
  • sum: 73 8/9

Step-by-step explanation:

The general term of a geometric sequence is ...

  an = a1·r^(n-1)

You have the 2nd and 4th terms, so ...

  a2 = a1·r^(2-1) = a1·r

  a4 = a1·r^(4-1) = a1·r^3

We can find r from the ratio ...

  a4/a2 = (a1·r^3)/(a1·r) = r^2 = 8/18 = 4/9

Then r is ...

  r = √(4/9) = 2/3 . . . . the common ratio

The first term is ...

  a2 = 18 = a1·(2/3)

  a1 = (3/2)·18 = 27

__

The sum of the first 6 terms is ...

  Sn = a1·(r^n -1)/(r -1)

  S6 = 27·((2/3)^6 -1)/(2/3 -1)

  S6 = 27·(64/729-1)/(2/3-1) = (27)(665)/243 = 73 8/9

The sum of the first 6 terms is 73 8/9.

_____

<em>Check on the sum</em>

The first 6 terms are ...

  27, 18, 12, 8, 5 1/3, 3 5/9

Their sum is 73 8/9, as above.

8 0
3 years ago
Which is bigger 20% of 400 or 1//4 f 360
nekit [7.7K]
20% =20/100=2/10
20% of 400 =(2/10)*400 =80
1/4 of 360= (1/4)*360 =90
90>80, so 1/4 of 360 is bigger than 20% of 400
7 0
3 years ago
Read 2 more answers
find an equation of the line passing through the point (5 4) and parallel to the line whose equation is y= 2x-6
yKpoI14uk [10]

Answer:

y = 2x - 6

Step-by-step explanation:

Given

Equation: y = 2x - 6

Required

Determine the equation of Point: (5,4)

First, we need to determine the slope of y = 2x - 6

The general form of an equation is y = mx + b

Where m represents the slope;

Hence; m =2

Since the equation and the point are parallel. then they have the same slope (m).

m = 2

Next, is to determine the equation of the point, using the following formula:

m = \frac{y - y_1}{x - x_1}

Where

(x_1,y_1) = (5,4)

So, the equation becomes

2 = \frac{y - 4}{x - 5}

Cross Multiply

y - 4 = 2(x - 5)

Open Bracket

y - 4 = 2x - 10

Make y the subject of formula

y = 2x - 10 + 4

y = 2x - 6

Hence, the equation is y = 2x - 6

3 0
3 years ago
Write a multiplication equation that has a solution of 2/7
777dan777 [17]
X*7/2=1

Therefore x=2/7.
7 0
3 years ago
Using the distributive property, Marta multiplied the binomial (2x + 3) by the trinomial (x2 + x – 2) and got the expression bel
amid [387]

Answer:

2x3+2x2-4x+3x2+3x-6

2x3+5x2-x-6

6 0
3 years ago
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