MATHEMATICS HIGH SCHOOL

2y-4=3y-5 find the y

Answers

Answer 1
Answer:

Hi Brainiac

Lets start by subtracting 3y from both sides

2y-4-3y=3y-5-3y

-y-4=-5

Now add 4 to both sides

-y-4+4= -5+4

-y=-1

Divide both sides by -1 so we can eliminate the negative sign

-y/-1=-1/-1

y=1


I hope that's help:0
Answer 2
Answer: 2y-4=3y-5
-4=y-5
1=y

Answer: y=1

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You have invested 50,000 dollars to start a donut shop. Your cost for raw materials is 0. 65 dollars per dozen and your overhead costs are 0. 55 dollars per dozen. How many dozen must you produce before your average cost per dozen drops to 2. 45 dollars?

Answers

50 dozen donuts should be produced before your average cost per dozen drops to $2.45

Let x be the number of dozen donuts produced.

The total cost to produce x dozen donuts is:

Total cost = cost of raw materials + overhead costs

Total cost = 0.65x + 0.55x

Total cost = 1.20x

The average cost per dozen can be expressed as:

Average cost per dozen = Total cost / number of dozens

2.45 = 1.20x / x

To solve for x, we can cross-multiply and simplify:

2.45x = 1.20x

x = 50

Therefore, you must produce 50 dozen donuts before your average cost per dozen drops to $2.45.

To know more about dozen click here:

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If a statement is true the its negation is A true
B false
C cannot be determined

Answers

b) False

Because the negation makes it opposite of what is was.
B is the correct answer

What ratio is equivilant to 4:13 which makes 85?

Answers

Let us assume the common ratio to be = x
then
4x + 13x = 85
17x = 85
x = 85/17
   = 5
Then
The ratio will be = 4 * 5:13 * 5
                          = 20:65
So the ration in which the number 85 can be separated is 20:65. i hope the procedure is clear enough for you to understand. You can always use this method for solving similar problems without taking any help from outside. Only be careful while calculating.

Between which two square roots of integers could you find Euler's number (2.7182818284...)?

Answers

The square root of 7 is roughly 2.6
The square root of 8 is roughly 2.8

Hence Euler's number is between √(7) and √(8).
between the square roots of 7 and 8

e^2 = 7.38 roughly

Find the value of x.
The polygons are similar, but not necessarily drawn to scale.

Answers

Answer:

x=10 units

Step-by-step explanation:

Given: The polygons ABCD and JKLM are similar.

To find: The value of x.

Solution: Since, the given polygons are similar, therefore using the similarity condition, we have

(AD)/(JM)=(CD)/(LM)

Substituting the given values, we get

(12)/(40)=(3)/(x)

On cross multiplying, we get

(3*40)/(12)=x

x=10 units

Therefore, the value of x is 10 units.
(12)/(40) = (3)/(x)

Cross multiply:
12x = 3 * 40

Evaluate RHS:
12x = 120

Divide both sides by 12:
x = 10

Ancient Egyptians did not write the fraction 4/5 as 4/5. Instead they used unit fractions. The numerator of a unit fraction is always 1.No denominator used to represent a given fraction can be repeated. For this reason, Egyptians would have written 4/5 as 1/2 + 1/5 + 1/10 and not as 1/2 + 1/10 + 1/10 + 1/10. Write each of the following as a sum of unit fractions.

Answers


3/4  =  1/2  +  1/4

5/8  =  1/2  +  1/8

7/12  =  1/2  +  1/12
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