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Whitepunk [10]
3 years ago
11

125 is 500% of what number

Mathematics
1 answer:
MAVERICK [17]3 years ago
5 0

let's say that number is "x", so "x" is then the 100%.

we know 125 is the 500%, and "x" is the 100, what is "x"?


\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 125&500 \end{array}\implies \cfrac{x}{125}=\cfrac{100}{500}\implies \cfrac{x}{125}=\cfrac{1}{5} \\\\\\ 5x=125\implies x=\cfrac{125}{5}\implies x=25

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aksik [14]
Area of trapezoid = (B1 + B2)h/2

B1 = 15 in. + 4 in. + 6 in. = 25 in.
B2 = 15 in.
h = 7 in.

Area = (25 in. + 15 in.)(7 in.)/2 = 140 in.^2
3 0
3 years ago
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The sum of the first three terms of an arithmetic sequence is 108, and the sum of the next three terms is 183. what is the value
qaws [65]
The key is to find the first term a(1) and the difference d.

in an arithmetic sequence, the nth term is the first term +(n-1)d
the firs three terms: a(1), a(1)+d, a(1)+2d
the next three terms: a(1)+3d, a(1)+4d, a(1)+5d,
a(1) + a(1)+d +a(1)+2d=108
a(1)+3d + a(1)+4d + a(1)+5d=183

subtract the first equation from the second equation: 9d=75, d=75/9=25/3
Plug d=25/3 in the first equation to find a(1): a(1)=83/3

the 11th term is: a(1)+(25/3)(11-1)=83/3 +250/3=111

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4 0
3 years ago
Which expression has a value of 15 when n = 7? 43 minus 5 n 3 n minus 5 6 n minus 28 19 minus StartFraction 28 Over n EndFractio
andrey2020 [161]

Answer:

19-\dfrac{28}{n} is the expression with value of 15 when n = 7.

Step-by-step explanation:

To find the expression whose value is 15, substitute the value of n = 7 in each given expression.

Expression 1:

43-5n

Substituting the value of n,

43-5\left(7\right)

Simplifying,

43-35=8

Since the value of the expression is 8 which is not equal 15.

Hence expression 43-5n does not have value of 15 when n = 7.

Expression 2:

3n-5

Substituting the value of n,

3\left(7\right)-5

Simplifying,

21-5=16

Since the value of the expression is 16 which is not equal 15.

Hence expression 3n-5 does not have value of 15 when n = 7.

Expression 3:

6n-28

Substituting the value of n,

6\left(7\right)-28

Simplifying,

42-28=14

Since the value of the expression is 14 which is not equal 15.

Hence expression 6n-28 does not have value of 15 when n = 7.

Expression 4:

19-\dfrac{28}{n}

Substituting the value of n,

19-\dfrac{28}{7}

Simplifying,

19-4=15

Since the value of the expression is 15 which is equal 15.

Hence expression 19-\dfrac{28}{n} has the value of 15 when n = 7.

4 0
3 years ago
Read 2 more answers
PLEASE ANSWER THIS ASAP !!!!
OLEGan [10]

Answer:

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Step-by-step explanation:

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slope m = (y₂ - y₁) / (x₂ - x₁)

             = (17- 21) / (-6 - (-7))

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---Extra info---

y-intercept using anyone point, let's use (-5, 13) and slope above:

  y = mx + b

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Equation of line:

y = mx + b

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Check:

(-7, 21)

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(-4, 9)

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other points should check out as well...

6 0
3 years ago
Find the common ratio for the following sequence.
Olegator [25]

Answer:

-1/2

Step-by-step explanation:

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