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Crazy boy [7]
3 years ago
12

8 times the difference between a number and 6 is equal to 4 times the number.

Mathematics
1 answer:
7nadin3 [17]3 years ago
4 0

Answer:

The variable titled "the number" is A: 12.

Step-by-step explanation:

The problem is 8 * (x - 6) = 4 * x

Try the first number as x and rewrite the expression.

8 * (12 - 6) = 4 * 12

Following PEMDAS (the Order of Operations), you need to solve the problem inside the parenthesis.

12 - 6 = 6

Rewrite the problem.

8 * 6 = 4 * 12

8 times 6 is 48.

4 times 12 is 48.

The variable in the expression 8 * (x - 6) = 4 * x is 12.

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A manufacturing company builds construction machinery. It sells 10 machines for $18,100 and 20 machines for $26,600. Which equat
love history [14]
Y = mx + b
m = (y2 - y1)/(x2 - x1)

y = (26,600 - 18100)/(20 - 10)x + b
y = 850x + b
18100 = 850(10) + b
b = 9600

R(x) = 850x + 9600
3 0
3 years ago
Sarah belongs to a gym and health spa that is conveniently located between her home and her job. It is one of the nicer gyms in
Vera_Pavlovna [14]

Answer:

1) She would save money if she paid per-visit. She would only pay %72 of what she pays monthly

2) She goes to the gym %43 of the days of the year

3) If she goes every day to the gym, she would spend $150 per month if she paid per-visit, that is %67 more than the $90 monthly fee

Step-by-step explanation:

1) She goes to the gym 3 times per week, so she goes 3*4.3 = 12.9 times per month. Thus, if she were to pay only $5 per day instead of a monthly membership, she would spend 5*12.9 = $64.5 per month.

Therefore, she would save money if she paid on a per visit basis, by using a rule of three, we can conclude that she would spend only 64.5*100/90 = %72 of her monthly $90 fee.

2) If she goes 3 times per week, she is going 3 days out of 7, thus, she is going 3*100/7 = %43  days of the year.

3) If a month has 30 days, then she would spend 30*5 = $150 if she paid per-visit and she went to the gym every day. That is $60 more than the $90 she spends for her monthly membership, in other words, it is 60*100/90 = %67 more than the %90 monthly rate.

5 0
3 years ago
Help please what is the answer?
Dmitrij [34]
(pemdas), parenthesis then exponents.
7 * 2 = 14
14^ 7 = 105413504
8 0
3 years ago
Two numbers whose sum is 44 and whose product is a maximum
Mashcka [7]

Answer:

x = y = 22

Step-by-step explanation:

It would help to know your math course. Do you know any calculus? I'll assume not.

Equations

x + y = 44

Max = xy

Solution

y = 44 - x

Max = x (44 - x)                    Remove the brackets

Max = 44x - x^2                   Use the distributive property to take out - 1 on the right.

Max = - (x^2 - 44x )               Complete the square inside the brackets.

Max = - (x^2 - 44x + (44/2)^2 ) + (44 / 2)^2 . You have to understand this step. What you have done  is taken 1/2 the x term and squared it. You are trying to complete the square. You must compensate by adding that amount on the end of the equation. You add because of that minus sign outside the brackets. The number inside will be minus when the brackets are removed.

Max = -(x - 22)^2 + 484

The maximum occurs when x = 22. That's because - (x - 22) becomes 0.

If it is not zero it will be minus and that will subtract from 484

x + y = 44

xy = 484

When you solve this, you find that x = y = 22 If you need more detail, let me know.


4 0
3 years ago
The area of the rectangular table is 18 square feet the width of the table is 3 ft what is its length
MrRa [10]

Answer:

Step-by-step explanation:

Okay, In solving to find the square feet of a rectangle, you need to know the length and the width to be able to get the answer. Length x Width = area. In this case you already know the area, so just reverse the steps. 18 Ft is the area and the width is 3ft, you’re just missing length. 18/3 = 6. 6ft is the length

6 0
3 years ago
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