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puteri [66]
2 years ago
7

Sales tax on an item is directly proportional to the cost of the item purchased. If the tax on a $600 item is $42, what is the s

ales tax on a $930 item?
Mathematics
1 answer:
Dafna11 [192]2 years ago
4 0
Answer: $65.10

Step-by-step work:

1.Set the ratio
\frac{600}{42}  =  \frac{930}{x}
2.Cross-multiply
600x = 930(42)
600x = 39060
3.Divide to single out x
600x \div 600 = 39060 \div 600
x = 65.10


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Which expression is equivalent to (4 + 7i)(3 + 4i)? –16 + 37i 12 – 28i 16 – 37i 37 + 16i
ASHA 777 [7]

Answer:

The equivalent expression is \Rightarrow -16+37i    

A is correct

Step-by-step explanation:

 We are given two complex number and need to multiply it. To find equivalent fraction.

(4+7i)(3+4i)

Using Binomial product property: (a+b)(c+d)=ab+ad+bc+bd

\Rightarrow (4+7i)(3+4i)

\Rightarrow 4(3)+4(4i)+7i(3)+7i(4i)

\Rightarrow 12+16i+21i+28i^2

Combine the like term and simplify

\Rightarrow 12-28+37i           \because \ \ i^2=-1

\Rightarrow -16+37i    

Hence, The equivalent expression is \Rightarrow -16+37i    

4 0
2 years ago
Read 2 more answers
Milton spilled some ink on his homework paper. He can't read the coefficient of $x$, but he knows that the equation has two dist
Lera25 [3.4K]

Answer:

Sum = -81

Step-by-step explanation:

See the comment for complete question.

Given

c = 36 ----- Constant

No coefficient of x^2

Required:

Determine the sum of all distinct positive integers of the coefficient of x

Reading through the complete question, we can see that the question has 3 terms which are:

x^2 ---- with no coefficient

x ---- with an unknown coefficient

36 ---- constant

So, the equation can be represented as:

x^2 + ax + 36 = 0

Where a is the unknown coefficient

From the question, we understand that the equation has two negative integer solution. This can be represented as:

x = -\alpha and x = -\beta

Using the above roots, the equation can be represented as:

(x + \alpha)(x + \beta) = 0

Open brackets

x^2 + (\alpha + \beta)x + \alpha \beta = 0

To compare the above equation to x^2 + ax + 36 = 0, we have:

a = \alpha + \beta

\alpha \beta = 36

Where: \alpha, \beta and \alpha \ne \beta

The values of \alpha and \beta that satisfy \alpha \beta = 36 are:

\alpha = -1 and \beta = -36

\alpha = -2 and \beta = -18

\alpha = -3 and \beta = -12

\alpha = -4 and \beta = -9

So, the possible values of a are:

a = \alpha + \beta

When \alpha = -1 and \beta = -36

a = -1 - 36 = -37

When \alpha = -2 and \beta = -18

a = -2 - 18 = -20

When \alpha = -3 and \beta = -12

a = -3 - 12 = -15

When \alpha = -4 and \beta = -9

a = -4 - 9 = -13

At this point, we have established that the possible values of a are: -37, -20, -15 and -9.

The required sum is:

Sum = -37 -20 -15 - 9

Sum = -81

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2 years ago
A student prepares 150.0 mL of 1.40 M HCl using 35.0 mL of a stock solution. What is the concentration of the stock solution? Us
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Your answer would be c.6.00 M
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Analyze the graphed function to find the local minimum and the local maximum for the given function. On a coordinate plane, a cu
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Answer:

b

Step-by-step explanation:

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2 years ago
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8th grade math fsa countdown answers
Liula [17]

https://jhmsmath.weebly.com/uploads/2/7/7/5/27756807/8th_grade_countdown.pdf go to this link page 52-54

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