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almond37 [142]
2 years ago
5

Jaclyn's company required an initial investment of $2,125 for starting costs and sells construction toys for $49.99 each. Richie

's company required no initial investment and sells construction toys online for $39.95 each. Write and solve an equation that can be used to find t, the number of construction toys that must be bought so that the profit for Jacelyn's company and Richie's company is the same.
Variable:

Constant:

Total:

Rate:

Equation:

Solution:
Mathematics
1 answer:
Darina [25.2K]2 years ago
6 0

The the number of construction toys that must be bought so that the profit for Jacelyn's company and Richie's company is the same. is t= 204.3269230769231

<h3>what is equation?</h3>

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation. It will be considered as an expression.

As, per the given situation the equation can be

2125 + 49.99 t = 39.95 t

10.4 t= 2125

t= 2125 / 10.4

t= 21250/104

t= 204.3269230769231

Learn more about equation here:

brainly.com/question/10413253

#SPJ1

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Find the sum of the series given in sigma notation.
Kryger [21]

Answer:

Option b is correct 175

Step-by-step explanation:

n = 7

k = 6

3k -2 ------1

put k = 6 in above eq. for finding first term

  a1 = 3(6) - 2  = 18 - 2 = 16

put k = 7 in above eq. for finding first term

 a2 = 3(7) - 2 = 21 - 2 = 19

 a3 = 3 (8) - 2 = 24 - 2 = 22

16, 19 , 22, ...  //Arithmetic series formation

a1 = 16 , a2 = 19

d = a2 - a1 = 19 - 16 = 3 //Difference of first two terms

Using sum forumula for arithmetic series

sum = \frac{n}{2}(2a1 + (n-1)d)

      = \frac{7}{2}(2a1 + (7-1)d)

      = \frac{7}{2}(2(16) + (6)3)

      =  \frac{7}{2}(32 + 18)    

      =  \frac{7}{2}(50)

      = 7 * 25

      = 175




4 0
3 years ago
-6c&lt; -12<br> what will the answear be
murzikaleks [220]

Answer:c>2

Step-by-step explanation:

-6c (divide) (-6) > -12 (divide) (-6)

c>-12 (divide) (-6)

c>12 (divide) 6

c> 2

8 0
3 years ago
Is (-3,11) a solution to the system of equation shown below.
natita [175]
No, when you substitute it into the first equation for x and y it does not equal 36 this it's not a solution

(-3)-(3)(11)=36
-3-33=36
-36 =/ 36
8 0
3 years ago
There are 6 sixth graders , 7 seventh graders , and 8 eight graders entered in a contest.
fgiga [73]

Answer:

See below ~

Step-by-step explanation:

<u>P (6th grader)</u>

  • No. of 6th graders / Total students
  • 6 / 6 + 7 + 8
  • 6/21
  • 2/7

<u>P (6th grader after)</u>

  • No. of 6th graders - 1 / Total students - 1
  • 6 - 1 / 21 - 1
  • 5/20
  • 1/4

<u>Question 1 : P (Both 6th graders)</u>

  • P = P (6th grader) × P (6th grader after)
  • P = 2/7 x 1/4 = 2/28 = <u>1/14</u>

<u></u>

<u>Question 2 : P' (Both 6th graders)</u>

  • P' = 1 - P
  • P' = 1 - 1/14
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4 0
1 year ago
Read 2 more answers
70
BaLLatris [955]

Answer:

160 is the answer please tell me if im wrong

5 0
2 years ago
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