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3 years ago

14

What does the x mean in this problem 12x- 15 =6 3x

1 answer:

Sonbull [250]3 years ago

8 0

X is just a variable, also known as a place holder for an unknown number. if you’re looking for an answer to these problems you’ll have to figure out what times 12, subtracted by 15, equals 6, times 3. and the x will most likely be the same number in this equation

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H(x) = 5х+2.0х 3 - 45х-180х.<br> factor the polynomial

poizon [28]

The correct answer is 2x^3-40x-180

4 0

3 years ago

The population of a certain community is known to increase at a rate proportional to the number of people present at time t. If

attashe74 [19]

Answer:

$t=7.85 years$

Step-by-step explanation:

We can write this rate as an ordinary differential equation.

$\frac{dP}{dt}=aP$

Where a is proportional constant, P the population variable, and t the time.

$\frac{dP}{P}=adt$

Integrating each side of the equation.

$\int \frac{dP}{P}=\int adt$

$ln(P)=at+c$

$P=e^{at+c}$

$P=e^{c}e^{at}=Ce^{at}$

To find C we need to use the initial condiction, it means evaluae P at t=0.

$P_{0}=Ce^{0}=C$

$P=P_{0}e^{at}$

Now, we use the sentence the population has doubled in 5 years.

$2P_{0}=P_{0}e^{a5}$

We can find "a" in this condition.

$2=e^{a5}$

$ln(2)=a5$

$a=\frac{ln(2)}{5}$

$a=0.14$

Finally, let's find how long will it take to triple.

$3P_{0}=P_{0}e^{0.14t}$

$3=e^{0.14t}$

$t=\frac{ln(3)}{0.14}$

$t=7.85 years$

I hope it helps you!

4 0

3 years ago

William has 8 1/4 cups of fruit juice. If he divides the juice into 3/4 cup servings, how many servings will he have?

nikdorinn [45]

Answer: 11 servings

Step-by-step explanation:

To get the number of servings, all we need to do is divide 8 1/4 by 3/4

converting 8 1/4 to improper fraction will yield 33/4

8 1/4 ÷ 3/4

=33/4 ÷ 3/4

= 33/4 ÷ 4/3

The 4 at the numerator will cancel the 4 at the denominator. we will be left with;

=33/3 =11

Therefore, there will be 11 servings.

7 0

4 years ago

Read 2 more answers

Payton has 4 bags of potting soil she has to put the same fraction in each of her 5 pots what fraction should she use

alina1380 [7]

Payton should use $\frac{4}{5}$ of bags in each pot

<em><u>Solution:</u></em>

Given that, Payton has 4 bags of potting soil

She has to put the same fraction in each of her 5 pots

To find: Fraction that should be used by Payton

From given question,

Total number of bags = 4

Number of pots = 5

To find, fraction of bag she should put in 1 pot, we have to divide the total number of bags by number of pots

fraction of bag she should put in 1 pot = Total no. of bags $\div$ no. of pots

$\text{ fraction} = \frac{\text{ total number of bags }}{ \text{ number of pots }}$

$\text{ fraction } = \frac{4}{5}$

Thus payton should use $\frac{4}{5}$ of bags in each pot

5 0

3 years ago

Solve and show the work 6 ( -3y + 2) - 5=

nalin [4]

Answer:

y = 7/18

Step-by-step explanation:

6 ( -3y + 2) - 5=

-18y + 12 - 5 =

-18y + 7 =

-18y = -7

y = 7/18

8 0

3 years ago