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aleksklad [387]
3 years ago
12

A box contains 7 plain pencils and 5 pens. A second box contains 5 color pencils and 5 crayons. One item from each box is chosen

at random. What is the probability that a pen from the first box and a crayon from the second box are selected?
Mathematics
1 answer:
Nastasia [14]3 years ago
4 0
7 + 5 to get your total for rhe first box so 12 is your denominator for the first box, and there are 5 pens so the fraction is 5/12 for the first one.

For the second box you do it the same way you did the first but with its number instead so 5 + 5 which is 10 so thats your denominator and your number of your crayons which is 5 is on top. So your fraction for the second box is 5/10 which simplifies to 1/2. But if you have to get only one fraction add them together and you get 55/60 which simplifies to 11/12.
Hope this helped!
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PLS HELP IT’S DUE TMR!!
ValentinkaMS [17]

Answer:

Use ≈ (approximately equal) sign as the scientific notation.

Step-by-step explanation:

(a) 0.001872 ≈ 0.0019

(b) 0.3411 ≈ 0.34

(c) 0.000845 ≈ 0.00085

*Zeros before non-zero numbers are not significant.

*Zeros appearing between two non-zero digits are significant.

Hope this helps!!

6 0
2 years ago
A restaurant sells about 330 sandwiches each day at a price of $6 each $.25 decrease in price. 15 more sandwiches are sold per d
zmey [24]

Answer:

restaurant should charge $(6-0.25) = $5.75per sandwich to maximize daily revenue.

the revenue is $1983.75

Step-by-step explanation:

to calculate current revenue= $6 x 330 = $1980

suppose x as the number of times the price to be dropped by $0.25

then find new price.. i.e

new price= $(6-0.25x)

and, new sell=330 +15x sandwiches

therefore, the new revenue would be= (6-0.25x)(330 +15x)

in order to maximize the current revenue, simplify the above equation and make it complete square using x

(6-0.25x)(330 +15x)

=1980-82.5x +90x -3.75x^{2}

=1980 + 7.5x -3.75x^{2}

=1980-3.75 (-2x+x^{2}) ----> taking out common

now, to make a complete square lets add and subtract 1 inside the parentheses

=1980-3.75(-1+1-2x+x^{2})

=1980 +3.75 -3.75(x^{2} -2x +1)

=1983.75 -3.75 (x-1)^{2}---->(1)

as (x-1)^{2} is positive always, minimize the other term in order to maximize the total revenue.

so the minimum possible value of (x-1)^{2} = 0

therefore, x=1

putting x in eq(1) the revenure becomes,

$(1983.75-0)=> $1983.75

therefore, restaurant should charge $(6-0.25) = $5.75per sandwich to maximize daily revenue.

the revenue is $1983.75

3 0
3 years ago
-2/3x + 2.8 = -8.2 what is x
JulsSmile [24]
-2/3x + 2.8 = -8.2 what is x
Add 2.8 on both side of the equation
-2/3x=-11
Divide both side by -2/3
x=33/2

Check: -2/3(33/2)+ 2.8 = -8.2
-11+2.8=-8.2
-8.2=-8.2

Answer is x=33/2
6 0
3 years ago
What's 6/7 written as a fraction with a denominator of 42? A. 36/42 b. 7/42 c. 42/42 d. 6/42
7nadin3 [17]

Pls mark Brainliest.

Answer:

A. 36/42

Step-by-step explanation:

What do you multiply 7 by to get 42?

6. That is what the denominator was multiplied by, and so, the equivalent fraction must have a numerator that is 6 times larger than the original.

6 is the numerator so the numerator of the equivalent fraction with denominator 42 must be 36 since 6 * 6 = 36/

A. 36/42

4 0
3 years ago
The miniature pinscher weighs 0.12 times the weight of a Doberman pinscher that weighs 32.65 kilograms. How much does the miniat
anastassius [24]

Answer:

3.918kg

Step-by-step explanation:

Given parameters:

 Doberman Pinscher weight  = 32.65kg

Unknown:

 Miniature Pinscher weight = ?

Solution:

From the first sentence;

       Miniature Pinscher's weight is  0.12 times Doberman Pinscher

   Miniature Pinscher's weight  = 0.12 x 32.65kg

 

Miniature Pinscher's weight  = 3.918kg

4 0
3 years ago
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