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alex41 [277]
3 years ago
15

Solve for x -4(5 - x) = (x + 7)

Mathematics
1 answer:
garik1379 [7]3 years ago
4 0

Answer:

x=9

Step-by-step explanation:

   

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Sumalee and Jennifer are selling flower bulbs for a school fundraiser. Customers can package of tulip bulbs and bags of daffodil
Alecsey [184]

Answer:

<u>tulips bulbs cost $5; and daffodil bulbs costs $8 </u>

Step-by-step explanation:

Variables can be used to create equations and set up a system of equations. I used the following variables:

Tulip bulbs=  t

Daffodil bulbs= d

We need create two equations using the total sales, and amount of each item sold. Using the variables I chose I set up an equation representing the sales of each girl.

Sumalee sold 6 tulip bulbs and 6 daffodil bulbs for $78.

6t+ 6d= 78

Jennifer sold 6 tulip bulbs and 4 daffodil bulbs for $62.

6t+ 4d= 62

Using the equations we can set up a system of equations. To solve the system you can use either the substitution method or the elimination method.

(substitution)

Isolate one of the variables in the first equation.

6t+ 6d-6t  = 78-6t  

6d/ 6= (-6t+78)/6

d= -t+13

Substitute d= -t+13 into equation 2 replacing variable d. Using the order of operations solve for t.

6t+ 4(-t+13) = 62

6t- 4t+52 = 62

2t = 10

<u>t= 5</u>

Substituting t=5 for the value of t in equation 1, and solve of d.

6(5)+ 6d= 78

30+ 6d= 78

6d=48

<u>d=8</u>

<u>This means one package of tulips bulbs cost $5, and one bag of daffodil bulbs costs $8 </u>

4 0
4 years ago
Consider a nine -year moving average used to smooth a time series that was first recorded in 1961. a. Which year serves as the f
kirill [66]

Answer:

  a.  1965

  b.  8 years

Step-by-step explanation:

For answers to questions like these it can work to consider the smallest possible dataset.

<h3>Dataset</h3>

For our purpose, consider the 9 years/values to be averaged to be ...

  1, 2, 3, 4, 5, 6, 7, 8 ,9

<h3>Observations</h3>

a. The center value of the data set is 5. Its number is 5-1=4 more than the first one.

The first centered value is from the year 1961 +4 = 1965.

b. The 4 values at the beginning, and the 4 values at the end do not have a corresponding "average" value. That is, 4+4 = 8 values in the series are lost with respect to the number of average values.

8 years of values are lost.

5 0
2 years ago
Joe spend $350 on bills monthly. Of this total and 11% for car insurance, 2/9 is for cable, 1/10 is for phone. How much money do
Mice21 [21]
11% = 11/100
2/9 + 11/100 + 1/10 = 389/900
389/900 x 350 = 151.3
350 - 151.3 = 198.7
4 0
3 years ago
Find the slope of the line that passes through the
Lana71 [14]

Answer:

The slope of the line that passes through the points is 0 slope. That is B is the answer.

7 0
3 years ago
Just number 10 plzzzz I need help
Thepotemich [5.8K]
Can you show us the question?
8 0
3 years ago
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