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3 years ago

What is the solution to 0.3(12x - 16) = 0.4(12 - 3x)?

Mathematics

1 answer:

telo118 [61]3 years ago

5 0

Step-by-step explanation:

The solution is one-solution

.3(12x-16)=.4(12-3x) (you do the distributive property)

3.6x-4.8=4.8-.12x (you add 1.2 to both sides)

3.6x-3.6=4.8 (You add 3.6 to both sides)

3.6x=8.4 ( You divide 3.6 both numbers)

x=0.4285...

Its a one-solution

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12 is what percent of 18; 24; 30; 48?

IrinaVladis [17]

Step-by-step explanation:

12/18=2/3

2/3×100%=66.67%

12/24=1/2

1/2×100%=50%

12/30=2/5

2/5×100%=40%

12/48=1/4

1/4×100%=25%

5 0

3 years ago

Find the length of the third side. If necessary, write in simplistic radical form.

____ [38]

Answer:

Step-by-step explanation:

Just use the Pythagorean Theorem ( $a^{2}$ + $b^{2}$ = $c^{2}$ )

Let a be the missing side

$a^{2}$ = $8^{2}$ - $\sqrt{15} ^{2}$

$a^{2}$ = $64$ - $15$

$a^{2}$ = $49$

Take the square root of each side

$a$ = $\sqrt{49}$

$a$ = $7$

So the missing side is 7.

Hope this helps! :)

8 0

3 years ago

60+42.95x=25+49.95x please help

hoa [83]

Answer:

x=5

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

How to tell if a table is a exponential decay function an exponential growth function or neither

aliya0001 [1]

Answer:

Exponential function: a*b^x

if B is less than 1, it is a decay function

if B is more than 1, then it is a growth function

if B is 0, then the function neither decreases nor increases

Example 1: 100*0.14^x

The y-intercept is decreasing by 86%

Example 2: 3000*1.14^x

The y-intercept is increasing by 14%

Example 3: 400*0

The y-intercept is neither decreasing nor increasing

Going back to the function, a is the y-intercept, and b is the rate

I hope this will help you, I just started to learn about exponential functions..

5 0

2 years ago

Assume that the year has 366 days and all birthdays are equally likely. Find the probability that two people chosen at random we

iVinArrow [24]

Answer:

$\dfrac{1}{7}$

Step-by-step explanation:

There are 7 days in a week.

For the first person, we select one day out of the 7 days. The first person has 7 options out of the 7 days.

Let Event A be the event that the first person was born on a day of the week.

Therefore:

$P(A)=\dfrac{7}{7}=1$

The second person has to be born on the same day as the first person. Therefore, the second person has 1 out of 7 days to choose from.

Let Event B be the event that the second person was born.

Therefore, the probability that the second person was born on the same day as the first person:

$P(B|A)=\dfrac{1}{7}$

By the definition of Conditional Probability

$P(B|A)=\dfrac{P(B \cap A)}{P(A)} \\$Therefore:\\P(B \cap A)=P(B|A)P(A)$

The probability that both were born on the same day is:

$P(B \cap A)=P(B|A)P(A) = \dfrac{1}{7} X 1 \\\\= \dfrac{1}{7}$

3 0

4 years ago