MATHEMATICS COLLEGE

The ratio of Sunita's age to Mark's age is currently 3 to 4, and in 12 years, it will be 5 to 6. What is Mark's current age?A) 18

B)24

C)30

D)36

Answers

Answer 1
Answer:

Answer:

24 years.

B is correct option.

Step-by-step explanation:

Let Sunita's current age is x and that of Mark's is y.

Hence, we have

(x)/(y)=(3)/(4)\n\nx=(3)/(4)y.......(1)

Now, in 12 years the ratio will be 5 to 6. Thus, we have

(x+12)/(y+12)=(5)/(6)

Cross multiplying, we get

6x+72=5y+60

Plunging, the value of x from equation (1)

6((3)/(4)y)+72=5y+60\n\n(9y)/(2)+72=5y+60\n\n(y)/(2)=12\n\ny=24

Therefore, Mark's current age is 24 years.
Answer 2
Answer:

Mark's current age is 24  

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Sara is completing the square to find the maximum or minimum value of the function f(x) = (2 - x) (5 + x). What is the first step that Sara must take? Does the function have a maximum or minimum value? What is that value?A) multiply the binomials; maximum value;
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B) multiply the binomials; minimum value;
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C) set each factor equal to zero and solve for x; minimum value;
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D) set each factor equal to zero and solve for x; maximum value;
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Answers

Definitely multiply out the given factors:

f(x) = 10 + 2x - 5x - x^2, or  f(x) = -x^2 - 3x + 10
Find the derivative:  f '(x) = -2x - 3
Set the deriv. = to 0 and solve for x:  -2x = 3, and x = -3/2
This x = -3/2 is the x-coordinate of the max value.  The y-coord. is

f(-3/2) = (-3/2)^2 - 3(-3/2) + 10 = 21.25

I realize that this result does not agree with any of the four possible answers.  Please ensure that y ou have copied down this problem completely and correctly.

(2 4/10 + 8 4/5) - 3 1/5

Answers

Answer:

it says use a calculater maybe if u used one it would help u out.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

You can first simplify each fraction, so the it would be (24/10 + 44/5) - 16/5. And then add what is in the parenthesis, 556/5, and then subtract 16/5 to get 8.

A recipe calls for a total of 3 cups flour and sugar. If the recipe calls for a cup of sugar, how much flour is needed?o 3 te cups
3 cups
4 cups
3 cups
5
12 cup
3
13 cups

Answers

Answer:

3 cups

Step-by-step explanation:

The same amount of each is needed if I read that correctly.

Quick!!! I need to do my homework
Solve: x - 1 < 3

Answers

x < 4

given x - 1 < 3 ( add 1 to both sides )

x < 4

or x ∈ ( - ∞, 4 ) ← in interval notation

Liam uses checks and a debit card, but does not always write all the transactions in his checkbook register. He has lost track of his checkbook balance. Liam looks up the “available balance” using online banking, and writes it on the next line as his new checkbook balance available to spend. What is wrong with Liam’s method?a.
Liam’s method fails to consider whether he has written any outstanding checks.
b.
The reconciliation worksheet will not work properly using Liam’s adjusted checkbook balance.
c.
Liam could have unexpected non-sufficient funds fees due on any checks that have not yet cleared the bank.
d.
All of the above.


Please select the best answer from the choices provided

A
B
C
D

Answers

All of the above is wrong with Liam’s method and is therefore denoted as option D.

What is a Checkbook?

This is defined as a book containing blank checks to be drawn on a bank. The available and checkbook balance may vary especially if not all checks haven't been drawn.

The problem with Liam’s method therefore include the following:

  • Liam’s method fails to consider whether he has written any outstandingchecks.
  • The reconciliation worksheet will not work properly using Liam’s adjusted checkbook balance.
  • Liam could have unexpected non-sufficient funds fees due on any checks that have not yet cleared the bank.

Read more about Checkbook here brainly.com/question/10138203

#SPJ2
All of the above is the answer

Find X and Y please !

Answers

Answer:

So first we need to find y, to do that we make an equation.
3y-12+63=180, first add 63 to -12.
3y+51=180, we move our constant to the right.
3y=180-51, subtract 51 from 180
3y=129, divide both sides by 3.
3y/3=129/3, and your answer is...
y=43

Now to find x, so we know that both the top and bottom lines are the same since they are cut into equal angles by the vertical line. To make this easier let’s do the math knowing that y=43, 3(43)-12=117. This means that the top right angle on the top line equals 177 degrees. And if you invert the angles that means the bottom left angle of the top line equals 177. Now we know what 5x+2 will equal however we still need to find x, before we make an equation we also need to be aware that the top left angle on the top line is also 63 degrees, by inverting that we also know the bottom right angle of the top line equals 63 degrees. So now we make our equation to find x.

5x+2+63=180, first we add 2 to 63.
5x+65=180, then we move our constant to the right.
5x=180-65, subtract 65 from 180.
5x=115, divide both sides by 5.
5x/5=115/5, and your answer is...
x=23

Hope this helped :)
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