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luda_lava [24]
2 years ago
8

What is the solution to 3(4x - 8) = 4(6 - 3x) ?

Mathematics
2 answers:
Elan Coil [88]2 years ago
5 0

Answer:

2

Step-by-step explanation:

distributive

12x-24=24-12x

combining terms

12x-24+12x=24

24x-24=24

24x=48

x=48/24

x=2

maria [59]2 years ago
3 0
3(4x - 8) = 4(6 - 3x) =

x=2
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2 years ago
Element X is a radioactive isotope such that every 9 years, its mass decreases by half. Given that the initial mass of a sample
4vir4ik [10]

Answer:

2.9 years

Step-by-step explanation:

Given that :

Half-life t1/2 = 9 years

Initial mass = I = 70 grams

A = final mass = 56 grams

t = time taken to reach final amount

Using the exponential half life relation :

A = I(0.5)^t/t1/2

56 = 70(0.5)^t/9

56/70 = 0.5^t/9

0.8 = 0.5^t/9

Log 0.8 = log 0.5^t/9

−0.096910 = −0.301029 * t/9

t/9 = 0.096910 / 0.301029

t/9 = 0.3219291

t = 0.3219291 * 9

t = 2.8973619

t = 2.9 years

5 0
2 years ago
What should be done so that the expression will have a value of 10?<br><br> 12 - 2 + 2 2 ÷ 8
Liula [17]
Answer: 10
use (PEMDAS)
P parentheses ()
E exponents
M multiplication • , () , x
D division
A addition +
S subtraction -
Explanation:
There are no parentheses.
There are exponents.
The multiplication is the exponents.
There is division.
There is addition and subtraction.
-how to solve-
First, do 2 to the second power and get 4.
Next, do 12-2+4 divided by 8.
Next do multiplication: there’s no more.
Next do division: you can’t do 4 divided by 8 so instead, do 12-2 = 10 plus 8.
Hope this helps!
3 0
2 years ago
starting at home, Omar traveled uphill to the gift store for 30 minutes at just 10mph. He then travelled back home along the sam
SashulF [63]

Answer:

average speed for the entire trip is 15 mph

Step-by-step explanation:

Let x be the uphill speed and y be the downhill speed.

We have been given that

Speed of Omar in uphill to reach gift store = x =10 mph

Speed of Omar in downhill to reach his home = y = 30 mph

We know the formula for average speed for the entire trip

\text{Average speed }=\frac{2xy}{x+y}\\\\=\frac{2\times 10\times 30}{10+30}\\\\=\frac{600}{40}\\\\=15

Therefore, average speed is 15 mph


6 0
3 years ago
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If you have a 19 year old in 2021 how old would that nineteen-year-old be in 2050 ​
maxonik [38]
I’m pretty sure it’s 48
6 0
2 years ago
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