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Sidana [21]
11 months ago
5

Suppose that 12 inches of wire cost 48 cents at the same rate how many inches of wire can be bought for 28 cents

Mathematics
1 answer:
goldenfox [79]11 months ago
3 0

Answer:

7 in

Step-by-step explanation:

If 12 inches of wire can be bought for $0.48, we can set up the following ratio:

\frac{12\text{ in}}{\$0.48}

Then, to determine how many inches of wire can be bought for $0.28, set up equivalent fractions, as such:

\frac{12\text{ in}}{\$0.48}=\frac{x}{\$0.28}

Then, cross-multiply and solve for x:

\$0.48x=(\$0.28)(12)

\$0.48x=\$3.36

x=\frac{\$3.36}{\$0.48}

x=7

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1975/1975+339+10

Wins/Total

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Convert to percent by moving decimal point up 2

Percent of wins: 84.98%

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Given a= -3, b= 4 and c= -5, evaluate ab + C.<br> -4<br> -17<br> 07
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Given the function f(x)=-12x+7 and g(x)=4x-9, find the set of values of x such that f(x)=g(x). Justify your solution by using th
jolli1 [7]

Hey there!!

We have:

... f(x) = -12x + 7

... g(x) = 4x - 9

<em>Now, we will have to find f(x) = g(x)</em>

... f(x) = g(x)

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5 0
3 years ago
A geometric sequence has a common ratio of 22 and the 12th12th term is −12,288.−12,288.
Lemur [1.5K]

Answer:

<h2>Tₙ = -3(2)ⁿ</h2>

Step-by-step explanation:

The explicit rule for determining the nth term of a geometric sequence is expressed as Tₙ = arⁿ⁻¹ where;

a is the first term of the geometric sequence

r is the common ratio

n is the number of terms

If a geometric sequence has a common ratio of 2 and the 12th term is −12,288, then;

T₁₂ = ar¹²⁻¹

T₁₂ = ar¹¹

Given T₁₂ = -12,288 and r = 2, we can calculate the first term a

-12,288 = a2¹¹

a = -12,288/2¹¹

a =  -12,288/2048

a = -6

Since the explicit rule for determining the nth term of a geometric sequence is expressed as Tₙ = arⁿ⁻¹, then for the sequence given, the explicit rule will be;

Tₙ = -6(2)ⁿ⁻¹

Tₙ = -6 * 2ⁿ * 2⁻¹

Tₙ = -6 * 2ⁿ * 1/2

Tₙ = -3(2)ⁿ

Hence the explicit rule that describes this sequence is Tₙ = -3(2)ⁿ

8 0
3 years ago
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