MATHEMATICS HIGH SCHOOL

Write the statement for the problem in mathematical language. Use x for the tens digit and y for the unit digits in the two digit numbers. Find the two-digit number which is 2 times the sum of its digits

Answers

Answer 1
Answer:

Answer:

  18

Step-by-step explanation:

A two-digit number (xy) will have the value 10x+y. The sum of its digits is x+y.

You want ...

  10x +y = 2(x +y)

  1 ≤ x ≤ 9

  0 ≤ y ≤ 9

The equation can be simplified to ...

  8x = y

The only single-digit values for x and y that satisfy the requirements are ...

  x = 1, y = 8

The two-digit number of interest is 18.

_____

Check

Its sum of digits is 1+8 = 9. 2×9 = 18.

_____

Comment on the relationship in the problem

Many of us learned our multiplication tables for 9s by remembering that the sum of digits of 9n was 9, and that the leading digit of the product was n-1.
Answer 2
Answer:

Answer:

the statement is x=y/8 the number is 18

Step-by-step explanation:

ur welcome.

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Ben and his housemates signed a lease for an apartment for 12 months for $563 per month of which Ben agreed to pay $215 per month. Which of the following statements best gives the reasons that Ben’s rent payment is an essential (fixed) expense?a.
It cannot be eliminated in a later budget, in order to save money.
b.
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c.
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Answers

The statement that best gives the reasons that Ben's rent payment is an essential (fixed) expense is D. it is by contract the same amount every month. So, this is his rent, the amount of money that he is legally bound to pay every month in order to keep on living in that location. He has an agreement with his landlord to pay $215 each month and thus he has to do it.

Answer:

its D

Step-by-step explanation:

Lltyflyhighll1Identify a transformation of the function f(x)=|x| by observing the equation of the function g(x)=|x|-32

A vertical shift 32 units upward.

A horizontal shift 32 units to the right.

A vertical shift 32 units downward.

A horizontal shift 32 units to the left

Answers

A horizontal shift in an absolute value function (or any function that is not a line) is indicated within the set of brackets (or parenthesis or absolute value symbols. They're all pretty much the same).  A horizontal shift is a side to side movement.  The parent graph of the absolute value of x has no number inside there with the x so we have no horizontal movement.  The vertex is still sitting at an x value of 0.  The up and down movement, the vertical movement is indicated by the number outside the parenthesis and after a positive or negative sign.  A positive sign indicates up movement while a negative sign indicates downward movement.  In our translated function, we have no number in with the x, so no side to side movement, but we have a -32 after that, indicating a vertical shift down 32 units.  Third choice down.

What is the average rate of change of f(x), represented by the table of values, over the interval [-3, 2]?

Answers

Average rate of change is:(f(x2)-f(x1))/(x2-x1) = (4-(-36))/(2-(-3))= (4+36)/(2+3)= (40)/(5) =8
Answer:C) 8

Can someone please help me??

Answers

Answer:

he will need 7.5 cups of flowers or 7 2/4

Step-by-step explanation:

So basically you have to keep adding 5/4 for every 1/2 you get until you reach 3.So when you do this you get 7.4.

A faster way to do this is to find how 1/2 are in 3 cups and then multiply that by the 5/4.

Answer:

3 3/4

Step-by-step explanation:

How do you solve...0=-5t^2+20t+1

Answers

there were 2 solutions that i came up with. Here is the first one. I rearranged the  eqaution by subtracting what is to the right of thr equal sign. Multiply the coefficeint of the first term by the constant 5 x (-1)= -5. Then you would find 2 factors of -5 whose sum equals the coefficient of the middle term which is 20. -5+1= -4 and  -1+5=4.  the eqaution then comes to 5t^2-20t-1=0. you would solve  5t^2-20t-1=0. you would divide both sides of the equal sign by 5. t^-4t-1/5=0. then t^2-4t=1/5. add 4 to both sides of the equation.  so we get 21/5+ 4 + 4t -t^2=21/5. it then comes out to be t^2-4t+t=t-2^2. according to the law of transitivity it is t-2^2=21/5.

 t =(20+√420)/10=2+1/5√ 105 = 4.049 . 

How many grams of sodium chloride should be used in preparing 500 ml of a stock solution such that 50 ml?

Answers

Answer: 30 grams

Step-by-step explanation: (50 mL x x%) = (1000 mL x 0.3%)

x = 6%

6% x 500 mL = 30 grams

Final answer:

The calculation for the amount of sodium chloride (NaCl) in a solution depends on the desired concentration. For instance, to prepare 50 ml of a 1M solution, one would need 2.922 g of NaCl. For a 500 ml stock solution for the same, the measurement would be ten times this, or 29.22 g.

Explanation:

The question pertains to preparing a solution of sodium chloride N(aCl). The given information indicates that we have 5.30 mol NaCl L solution. To provide an accurate answer, it's necessary to know the targeted concentration for the 50 ml solution. However, lacking this data, we can consider an example where we want to prepare a 1M solution.

In such a case, using the concept of molarity (mol/L), we'd first establish how many moles of NaCl are needed. For a 1M solution, we'd need 1 mol of NaCl per liter of solution. Therefore, in order to prepare 50 ml (or 0.05 L), we require 0.05 mol of NaCl.

The given information also states that 1 mol of NaCl weighs 58.44 g. Therefore, we would need (0.05 mol) * (58.44 g/mol) = 2.922 g of NaCl for 50 ml of a 1M solution. Therefore, if preparing 500 ml of a stock solution, we would require 10 times this amount, or 29.22 g of NaCl.

This is a general guide as the specific quantity can vary based on the desired concentration of the 50 ml solution. For other concentrations, we would use the same method, simply adjusting the moles of NaCl needed as appropriate.

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