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Rina8888 [55]
2 years ago
8

A. the sum of two numbers is 52. One number is three less than quadruple the other number. What are the two numbers?

Mathematics
1 answer:
avanturin [10]2 years ago
3 0

1st number: x

2nd number: 4x - 3

(x) + (4x - 3) = 52

5x - 3 =52

5x = 55

x = 11

2nd number: 4x - 3  =  4(11) - 3   =  44 - 3   =  41

Answer: 11 and 41

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The number of batches of salsa that can be made = x = 6 batches

The number of bat  tomato sauce that can be made = y = 3 batches

Step-by-step explanation:

We are given the system of equations:

x+5y=21\\x+y=9

where variable x represents the number of batches of salsa that can be made and y represents the number of bat  tomato sauce that can be made.

We need to solve the systems to find the values of x and y.

Let:

x+5y=21\,\,\,eq(1)\\x+y=9\,\,\,eq(2)

Subtract both equations:

x+5y=21\\x+y=9\\-\,\,\,-\,\,\,\,\,\,-\\------\\4y=12\\y=\frac{12}{4}\\y=3

So, value of y=3

Putting value of y in eq(2) and finding value of x:

x+y=9\\x+3=9\\x=9-3\\x=6

So, value of x=6

The number of batches of salsa that can be made = x = 6 batches

The number of bat  tomato sauce that can be made = y = 3 batches

Keywords: System of equations

Learn more about system of equations at:

  • brainly.com/question/9045597
  • brainly.com/question/3739260
  • brainly.com/question/13168205

#learnwithBrainly

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From the equation y=3.5x identify the constant of proportionality
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Step-by-step explanation:

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x = 47

Step-by-step explanation:

Every triangle's interior angles add up to 180°.

Let's make an equation.

x + 102 + 31 = 180

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Janice works for a salary of $2,396 per month. She has federal income tax withheld at the rate of 15 percent, Social Security ta
MAVERICK [17]

Given that Janice monthly salary is $2,396. And she has deductions of federal income tax withheld at the rate 15%, social security tax at the rate of 6.2% and medicare tax at the rate of 1.45% and health insurance premium worth 95$ per month.

Let us calculate total deductions.

Federal income tax = 15% of 2396 = 0.15*2396      =$359.4

Social security tax  = 6.2% of 2396=0.062*2396    =$148.552

Medicare tax           = 1.45% of 2396= 0.0145*2396=$34.742

<u>health insurance premium                                         =$95          </u>

Total deductions                                                        = $637.694

To calculate Janice net pay we have to subtract deductions from monthly salary that is 2396-637.694 = $1758.306

Hence net pay of Janice is $1758.306 per month.

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