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3 years ago

A bag contains 5 apples and 3 oranges . you select 4 pieces of fruit without looking . How any ways can you get 4 apples .

Mathematics

1 answer:

Basile [38]3 years ago

7 0

If you pick all 3 oranges and take 1 apple

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HELP ME ASAP!!!! PLEASE HELP I AM DESPERATE!!!!!!!

evablogger [386]

First question
42 students

Second question 65%

5 0

3 years ago

A decorative window is made up of a rectangle with semicircles at either end. The ratio of AD to AB is 3:2 and AB is 30 inches.

scZoUnD [109]

Answer: The required ratio will be

$84:1034$

Step-by-step explanation:

Since we have given that

Ratio of AD to AB is 3:2

Length of AB = 30 inches

So, it becomes

$2x=30\\\\x=\frac{30}{2}=15\ inches$

So, Length of AD becomes

$3x=3\times 15=45\ inches$

Now, at either end , there is a semicircle.

Radius of semicircle along AB is given by

$\frac{30}{2}=15\ inches$

So, Area of semicircle along AB and CD is given by

$2\times \frac{\pi r^2}{2}\\\\=\frac{22}{7}\times 15\times 15\\\\=\frac{4950}{7}\ in^2$

Radius of semicircle along AD is given by

$\frac{45}{2}=22.5\ inches$

Area of semicircle along AD and BC is given by

$2\times \frac{1}{2}\pi r^2\\\\=\frac{22}{7}\times \frac{45}{2}\times \frac{45}{2}\\\\=\frac{445500}{28}\ in^2$

And the combined area of the semicircles is given by

$\frac{4950}{7}+\frac{445500}{28}\\\\=\frac{465300}{28}\ in^2$

Area of rectangle is given by

$Length\times width\\\\=AD\times AB\\\\=45\times 30\\\\=1350\ in^2$

Hence, Ratio of the area of the rectangle to the combined area of the semicircles is given by

$1350:\frac{465300}{28}\\\\=1350\times 28:465300\\\\=37800:465300\\\\=84:1034$

Hence, the required ratio will be

$84:1034$

8 0

3 years ago

Determina si 2018 es un termino de la siguiente progresion aritmetica 17,46,75,104,133,....

Kitty [74]

2018 is the 70th term of the progression.

Explanation
We start out finding the common difference of the progression:
46-17 = 29

Now we write the explicit formula for the sequence. It is of the form
$a_n=a_1+d(n-1)
\\
a_n=17+29(n-1)$

We set this equal to 2018 to see if the answer is a whole number. If it is, it will be the term number that gives us 2018:

2018=17+29(n-1)

Using the distributive property,
2018=17+29*n-29*1
2018=17+29n-29

Combine like terms:
2018=29n-12

Add 12 to both sides:
2018+12=29n-12+12
2030=29n

Divide both sides by 29:
2030/29=29n/29
70=n

Since n=70, this means 2018 is the 70th term of the sequence.

8 0

3 years ago

Jeanine is twice as old as her brother Marc. If the sum of their ages is 24, how old is Jeanine

Vesna [10]

Her brother is 8: 8 x 2 is 16, and 16 + 8= 24.

5 0

3 years ago

Read 2 more answers

3x+10+x solve for x thank you :)

weeeeeb [17]

Answer:

4x + 10