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Paladinen [302]
3 years ago
12

Each number in a group of natural numbers was divided by the sum of all the numbers in that same group. What is the sum of all t

he resulting fractions?
Mathematics
1 answer:
schepotkina [342]3 years ago
5 0

Answer:

1

Step-by-step explanation:

Let us consider the case of 3 numbers: x, y, and z.  

Then  x/x+y+z + y/x+y+z + z/x+y+z = x+y+z/x+y+z = 1

The same works also for any quantity of numbers.

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a distributor wants to make 1000 pounds of trail mix that is 8% raisins. He will use a mix that is 5% raisins and a mix that is
leva [86]

Answer:

200 pounds 20% raisins

800 pounds 5% raisins

Step-by-step explanation:

Let number of 5% be x

and number of 20% be y

x + y = 1000

Also;

5% of x + 20-% of y = 8% of 1000 pounds

= 0.05x + 0.2y = 80

From i , x = 1000-y

0.05(1000-y) + 0.2y = 80

50-0.05y + 0.2y = 80

0.15y = 30

y = 200

x = 1000 - y

= 1000-200 = 800

8 0
3 years ago
Read 2 more answers
A waitress sold 12 ribeye steak dinners and 39 grilled salmon totaling $575.53 on a particular day. Another day she sold 25 ribe
Talja [164]

Answer:

cost of ribeye steak dinners = $10.36

cost of grilled salmon= $11.581

Step-by-step explanation:

Let the cost of one steak dinners be x

Let the cost of one  grilled salmon be y

One a particular day the waitress sells  12 ribeye steak dinners and 39 grilled salmon for a total is $575.53 which can be written in equation as

12(x)+39(y)= $575.53-------------------------------------(1)

On another day she sells  25 ribeye steak dinners and 13 grilled salmon dinners  totals to $582.43.This can be represented  as

25(x)+ 13(y)= $582.43-------------------------------------(2)

solving the equation (1) and (2)

eq(1) x 112x+39y= 575.53

eq(2) x 3125x+ 39y= 1747.29-------------------------(3)

Subtracting these equation we get,

113x=1171.76

x=\frac{1171.76}{113}

x= 10.36

Now  substituting this in equation (1)

12(10.36)+39(y)= $575.53

123.84+39y=575.53

39y=575.53 - 123.84

y=\frac{451.69}{39}

y=11.581

7 0
3 years ago
A researcher randomly surveyed two separate age groups to determine the number of hours teens spend on the Internet each week. T
Papessa [141]
The answer to this is A.
8 0
3 years ago
Read 2 more answers
How to subtract hexadecimal number when one is bigger than the other?
Inessa05 [86]
Hello,

In order to be simple: let's code hexadecimal numbers on 4 digits.

Example: 500-200=300 (in décimal)

500_{10}=01F4_{16}\\\\
200_{10}=00C8_{16}\\\\
For\ subtract\ 00C8\ we\ calculate\ 15th\ complement\\\\
C_{15}(00C8)=FF37\\\\

16th\ complement= FF37+0001=FF38\\\\

Then\ we\ add\\\\

01F4+FF38=(1)012C\ on\4\ digits:\ 012C\\

012C_{16}=300_{16}


7 0
3 years ago
1. 40° <br> 2. 65°<br> 3.75°<br> 4.90°
nataly862011 [7]

Answer:

option 3.75°

Step-by-step explanation:

we know that

If two triangles are similar, then the corresponding angles are congruent

so

In this problem

The corresponding angles are

m∠A and m∠D, m∠B and m∠E, m∠C and m∠F

so

m∠A=m∠D

m∠B=m∠E

m∠C=m∠F

therefore

m∠F=75°

4 0
3 years ago
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