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olchik [2.2K]
3 years ago
5

A group of friends went on a holiday to a hill station. It rained for 15 days. But when it rained in the morning, the afternoon

was lovely. And when it rained in the afternoon, the day was preceded by clear morning. Altogether there were 12 very nice mornings and 13 very nice afternoons. How many days did their holiday last?
Mathematics
2 answers:
QveST [7]3 years ago
3 0
Their holiday last 25 days
kaheart [24]3 years ago
3 0
Their holiday lasted 25 days because there 12 nice mornings and 13 nice afternoon you add them you get 25
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A survey of 4000 Americans found that 80% agreed with the president on a certain issue. identify the population
anastassius [24]
80% of 4000 is 3200, so 800 disagreed, and 3200 agreed.
4 0
3 years ago
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James has 2 marbles. His friend gives him 3 marbles. which two doubles facts can you use to find out how many marbles James has
timofeeve [1]
You could add 2+3=5thats so easy
3 0
3 years ago
I can't figure out how to do (i + j) x (i x j)for vector calc
Vinil7 [7]

In three dimensions, the cross product of two vectors is defined as shown below

\begin{gathered} \vec{A}=a_1\hat{i}+a_2\hat{j}+a_3\hat{k} \\ \vec{B}=b_1\hat{i}+b_2\hat{j}+b_3\hat{k} \\ \Rightarrow\vec{A}\times\vec{B}=\det (\begin{bmatrix}{\hat{i}} & {\hat{j}} & {\hat{k}} \\ {a_1} & {a_2} & {a_3} \\ {b_1} & {b_2} & {b_3}\end{bmatrix}) \end{gathered}

Then, solving the determinant

\Rightarrow\vec{A}\times\vec{B}=(a_2b_3-b_2a_3)\hat{i}+(b_1a_3+a_1b_3)\hat{j}+(a_1b_2-b_1a_2)\hat{k}

In our case,

\begin{gathered} (\hat{i}+\hat{j})=1\hat{i}+1\hat{j}+0\hat{k} \\ \text{and} \\ (\hat{i}\times\hat{j})=(1,0,0)\times(0,1,0)=(0)\hat{i}+(0)\hat{j}+(1-0)\hat{k}=\hat{k} \\ \Rightarrow(\hat{i}\times\hat{j})=\hat{k} \end{gathered}

Where we used the formula for AxB to calculate ixj.

Finally,

\begin{gathered} (\hat{i}+\hat{j})\times(\hat{i}\times\hat{j})=(1,1,0)\times(0,0,1) \\ =(1\cdot1-0\cdot0)\hat{i}+(0\cdot0-1\cdot1)\hat{j}+(1\cdot0-0\cdot1)\hat{k} \\ \Rightarrow(\hat{i}+\hat{j})\times(\hat{i}\times\hat{j})=1\hat{i}-1\hat{j} \\ \Rightarrow(\hat{i}+\hat{j})\times(\hat{i}\times\hat{j})=\hat{i}-\hat{j} \end{gathered}

Thus, (i+j)x(ixj)=i-j

8 0
1 year ago
Kareem purchased several packs of gum to place in gift baskets for $1.26 each. He spent a total of $8.82. How many packs of gum
777dan777 [17]

Answer: 7 packs of gum.

Step-by-step explanation:

If the total amount of the purchase is $8.82 and the individual price is $1.26, to find out how many packs Kareem purchased, we need to divide the total amount spent ($8.82) by the amount of each pack ($1.26), so:

8.82 ÷ 1.26 = 7

So, Kareem bought 7 packs of gum.

5 0
4 years ago
Given that 3 x : 10 = 5 : 2 Calculate the value of x .
borishaifa [10]

\tt{ 3x:10=5:2 } ⠀

\tt{\dfrac{3x}{10}=\dfrac{5}{2}  } ⠀

\tt{3x×2=10×5  } ⠀

\tt{6x=50  } ⠀

\tt{x=\dfrac{50}{6}  } ⠀

\tt{ x=\dfrac{25}{3}} ⠀

7 0
3 years ago
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