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Vikentia [17]
4 years ago
15

Solve each equation. check you solution. (7t - 2) - (-3t + 1) = -3(1 - 3t)

Mathematics
1 answer:
Lynna [10]4 years ago
5 0
(7t-2) - (-3t+1) = -3*(1-3t)
First distribute:
7t-2+3t-1 = -3+9t
Now get all the terms with 't' on the same side by subtracting/adding:
7t+3t-9t = -3+2+1
Combine the terms:
1t=0
t=0

Check:
Plug in 0 for t and see if both sides of the equation come out the same:
Does (7(0)-2) - (-3(0)+1) = -3(1-3(0))  ?
(-2) - (1) = -3(1)  ?
-3 = -3  ?
Yes! It works, so t=0! 
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One less than half a number is 12. What is the number
olga_2 [115]
To find this, turn the word question into an equation.
"One less than" means - 1, which is 1 being subtracted from something.
"half a number" means 1/2x, since 1/2 is half and x is unknown.
"is 12" means = 12, which is something equals 12.
Putting this in order would be 1/2x, then - 1, then = 12.
As an equation, this is 1/2x - 1 = 12.
So the equation is 1/2x - 1 = 12

Now you must find the number by solving this equation.
1/2x - 1 = 12
First, add 1 to both sides.
12 + 1 = 13
1/2x = 13
Now multiply both sides by 2.
This way, x will be isolated since 1/2x • 2 = 1x, and 1x = x.
13 • 2 = 26
x = 26
The number is 26.
6 0
3 years ago
57(1.31)^t interpret the meaning of the expression
marishachu [46]
For this case we have an equation of the form:
 y = A * (b) ^ t
 Where,
 A: initial amount
 b: growth rate
 t: time
 We then have the following equation:
 y = 57 (1.31) ^ t
 The initial number of bacteria is 57 and the growth rate is 31% per hour.
 Answer:
 
B. The initial number of bacteria is 57 and the growth rate is 31% per hour
5 0
4 years ago
Read 2 more answers
What is the value g(-3) when g(x)=2x+1
Alex73 [517]
Substitute and obtain,

g(-3)=-5
7 0
3 years ago
Read 2 more answers
PLEASE HELP ME ITS ALGEBRA THANK YOUUUU
vampirchik [111]

Answer: 2,208$

Step-by-step explanation:

To solve this problem, simply determine how much each attendee costs by doing 960$/30attendees = 32$/attendee.  Then, simply multiply this number by 69 to get: 2,208$

Hope it helps :) and let me know if you want me to elaborate further.

3 0
3 years ago
A triangle has a height that is 5 units shorter than its base. If b represents the base and h represents the
11111nata11111 [884]

Answer: A = (b²-5b)/2

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Base =b

Height = h = b-5 (the height is 5 units shorter than the base)

Since:

Area of a triangle (A)= (base x height) ÷ 2

Replacing with the values given:

A = [b (b-5)] ÷2

A = (b²-5b)/2

Feel free to ask for more if needed or if you did not understand something.

3 0
3 years ago
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