Answer:
x =
Step-by-step explanation:
Given
x +
= 4x
Multiply through by 4 to clear the fractions
3x + 5 = 16x ( subtract 16x from both sides )
- 13x + 5 = 0 ( subtract 5 from both sides )
- 13x = - 5 ( divide both sides by - 13 )
x = =
HELP PLEASE WITH SIGMA NOTATION!!!!! PLEAASE
1 answer:
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Answer:
The number of nickles is 6
The number of dims is 12 .
Step-by-step explanation:
Given as :
Sum of total number of dims and nickels coins = 18
The value of total combination = $1.50
Let The total number of dims = d
Let The total number of nickels = n
1 nickles = $0.05
1 dims = $0.1
<u>According to question</u>
Total number of dims and nickels coins = number of dims + number of nickels
Or, d + n = 18 .........1
And
$0.1 ×d + $0.05 ×n = $1.50
Or, 0.1 d + 0.05 n = 1.50 .........2
Now, Solving eq 1 an eq 2
0.1 × (d + n) - (0.1 d + 0.05 n) = 0.1 × 18 - 1.50
Or, (0.1 d - 0.1 d) + (0.1 n - 0.05 n) = 1.8 - 1.50
Or, 0 + 0.05 n = 0.3
Or, 0.05 n = 0.3
∴ n =
i.e n = 6
So, The number of nickles = n = 6
Put the value of n int eq 1
∵ d + n = 18
Or, d = 18 - n
Or, d = 18 - 6
i.e d = 12
So, The number of dims = d = 12
Hence, The number of nickles is 6 and the number of dims is 12 . Answer
Hi, you've asked an incomplete question. Here are the remaining questions:
a) Describe what each region in the Venn diagram represents.
Region I: In drama club, not in step team.
Region II: In both clubs.
Region III: In step team not in drama.
Region IV: Not in either club.
b) How many students were in only one of the two clubs?
c) How many students were in the drama club or in the step team?
d) How many students were surveyed?
Attached is the Venn diagram depicting the regions.
Explanation:
b) By adding the number of students that like drama club and those that like step club we can derive the answer: 34 + 27 = 61.
c) By adding 34 + 27 + those that like both (14) = 75.
d) The total number of students surveyed is gotten by summing any number in attached the diagram: 34 + 27 + 14 + 13 = 88.
