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3 years ago

How do you write 1 tenth as a decimal

Mathematics

2 answers:

Bingel [31]3 years ago

8 0

"one tenth" as a decimal is 0.1 .

Nutka1998 [239]3 years ago

3 0

0.1 is the ansewer to the question

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What is the point of intersection when the system of equations below is graphed on the coordinate plane?

lesantik [10]

Multiply the first equation by -2 gives:_
-2y = -8 + 2x

2y = 8 - 2x

adding these 2 equations:-

0 = 0

This shows that the 2 equations are equal so there are infinite solutions

4 0

3 years ago

I'm studying a new bacteria that doubles in numbers every 25 minutes. If i start with 50 bacteria, how long until i have 5 milli

dimaraw [331]

Answer:

415.63 minutes

Step-by-step explanation:

Growth can be represented by the equation $A=A_0e^{rt}$ . We can find the rate at which it grows by using t=25 minutes and $\frac{A_{0}}{A} =2$ or double the amount at that time. The first step we always take is to divide $A_0$ by A.

$[tex]\frac{A_{0}}{A}=e^{rt}\\2=e^{r(25)}$

$2=e^{(25)r}$

To solve for r, we will take the natural log of both sides and use log rules to isolate r.

$ln 2=ln e^{(25)r}\\ln 2=25r (ln e)\\\frac{ln2}{25} =r$

We know $lne=1$ so we were able to cancel it out and divide both sides by 25.

We solve with a calculator $\frac{ln2}{25} =r\\0.0277=r$

We change 0.0277 into a percent by multiplying by 100 to get 2.77% as the rate.

The equation is $A=A_0e^{0.0277t}$ .

We repeat the step above substituting A=5,000,000, $A_0$ =50, and r=0.02777. Then solve for t.

$5000000=50e^{0.0277t}\\\frac{5000000}{50} =e^{0.0277t}\\100000=e^{0.0277t}\\ln100000=lne^{0.0277t}\\ln100000=0.02777t(lne)\\\frac{ln100000}{0.0277} =t$

t=415.63 minutes

6 0

4 years ago

PLZ HELP its Triangle Properties and where using the 45º-45º-90º Triangle Theorem and the 30º-60º-90º Triangle Theorem.

den301095 [7]

Answer:

The answer to your questions is below

Step-by-step explanation:

4.-

In a 45°-45°-90° triangle, the length of the legs are "x" and the length of the hypotenuse is x $\sqrt{2}$

Then, in this problem, the length of the leg is 7 then the length of the hypotenuse will be 7 $\sqrt{2}$

5.- In a 30°-60°-90° triangle, the length of the hypotenuse is 2x, the length of the longer leg is x $\sqrt{3}$ and the length of the shorter leg is x.

In this problem we have the length of the hypotenuse = 20 and find x.

2x = 20

x = 20/2

x = 10

longer leg = x $x\sqrt{3} = 10\sqrt{3}$

6.- nonzero

7.- hypotenuse = 20 cm

Find x

2x = 20

x = 20/2

x = 10

Shoter leg = x = 10 cm

4 0

4 years ago

Read 2 more answers

Paula made this model to show the sum of two mixed numbers. Write the addition equation shown by the model and solve it.

kipiarov [429]

Answer:

$3\frac{2}{3} + 2\frac{2}{3} = 6\frac{1}{3}$

Step-by-step explanation:

Given

See attachment for number line

Required

Determine the model

From the attachment, we can see that each partition is 1/3

The gray rectangle covers 11 partitions.

So:

$Gray = 11 * \frac{1}{3}$

$Gray = \frac{11}{3}$

Express as a mixed number

$Gray = 3\frac{2}{3}$

The black rectangle covers 8 partitions

So:

$Black= 8 * \frac{1}{3}$

$Black= \frac{8}{3}$

Express as a mixed number

$Black= 2\frac{2}{3}$

So, the model is:

$Gray + Black = Total$

Where Total is the point where the black rectangle stops

$3\frac{2}{3} + 2\frac{2}{3} = 6\frac{1}{3}$

5 0

3 years ago

Find the value of x<br> m<2=4x+12

Sergeu [11.5K]

Answer:

x = 1

Step-by-step explanation:

the angle 2 is equal to 52, because triangles add up to be 180, and 180 - 76 and divided by two is 52. 52 = 4x + 12. Divide both sides by four, then subtract 12. x = 1

6 0

3 years ago