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2 years ago

Add −1 3/10 + 2/5 using the number line.

Mathematics

2 answers:

Ray Of Light [21]2 years ago

6 0

Start at - 1 3/10 then subtract 2/5 and you would get your answer your answer should be a negative

algol [13]2 years ago

3 0

Answer:

$\dfrac{-9}{10}$

Step-by-step explanation:

The given expression is

$-1\dfrac{3}{10}+\dfrac{2}{5}$

Simplify the mixed fraction.

$-\dfrac{1(10)+3}{10}+\dfrac{2}{5}$

$-\dfrac{13}{10}+\dfrac{2}{5}$

Taking LCM, we get,

$\dfrac{-13+2(2)}{10}$

$\dfrac{-9}{10}$

In the given number line each unit = 1/5.

Location of each number is shown in the below number line.

The number $-1\dfrac{3}{10}$ is midpoint of $-1\dfrac{2}{10}$ and $-1\dfrac{4}{10}$ . It means the number $-1\dfrac{3}{10}$ lies at the mid of $-1\dfrac{1}{5}$ and $-1\dfrac{2}{5}$ .

In the below number line red dots represent the given numbers and green dot represents the answer.

Therefore, the simplified form of given expression is $\dfrac{-9}{10}$ .

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Let p: x=4 let q:y=-2

ICE Princess25 [194]

Question:

Let p: x = 4 Let q: y = −2 Which represents "If x = 4, then y = −2”? p ∨ q p ∧ q p → q p ↔ q

Answer:

Option c: p → q

Explanation:

Option a: p ∨ q

p ∨ q means that either p is true or q is true or both are true.

Hence, Option a is not the correct answer.

Option b: p ∧ q

p ∧ q means that both p and q are true.

Hence, Option b is not the correct answer.

Option c: p → q

p → q means that if p is true, then q is also true.

Hence, Option c is the correct answer.

Option d: p ↔ q

p ↔ q means that if p is true, then q is true. If q is true, then p is true.

Hence, Option d is not the correct answer.

Thus, p → q is the correct option.

6 0

1 year ago

Sue Jones is insured for bodily injury in the amount of 10/20. She is at fault in an accident in which Albert Smith is injured.

lianna [129]

For this case, what you should know is that Sue Jones insurance covers half of the expenses. Equivalently, her insurance covers:
10/20 = 1/2 = 0.5
Therefore, we have then that
a. for Albert
0.5 * (12000) = $ 6000
b. for Sam
0.5 * (8000) = $ 4000
c. total
The sum of the results of parts a and b
$ 6000 + $ 4000 = $ 10,000
answer
$ 6000
$ 4000
$ 10,000

4 0

2 years ago

Read 2 more answers

A scientist running an experiment starts with 100 bacteria cells. These bacteria double their population every 15 hours. Find ho

IRISSAK [1]

<h2>Hello!</h2>

The answer is: 23.77 hours

$Total(t)=Start*2^\frac{t}{15}$

Where:

Total(t) is equal to the amount for a determined time (in hours)

<em>Start</em> is the original amount

<em>t </em>is the time in hours.

For example, it's known from the statement that the bacteria double their population every 15 hours, so it can be written like this:

$Total(15)=100*2^\frac{15}{15}=100*2^{1}=100*2=200$

To calculate how long it takes for the bacteria cells to increase to 300, we should do the following calculation:

$300=100*2^{\frac{t}{15} } } \\\frac{300}{100}=2^{\frac{t}{15} } }\\log(3)=log(2^{\frac{t}{15} })\\\\\\log(3)=\frac{t}{15}*log2\\t=\frac{log(3)}{log(2)} *15=23.77$

So, to know if we are right, let's replace 23.77 h in the equation:

Total(t)=100*2^\frac{23.77}{15}=299.94

and 299.94≅300

Have a nice day!

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2 years ago

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adoni [48]

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