MATHEMATICS HIGH SCHOOL

Which of the following fractions is equivalent to 3/8?A.6/14
B.9/24
C.4/9
D.15/35

Answers

Answer 1
Answer: I'm going to suggest that we take these and "UN-simplify" them.

For each choice, divide the numerator by 3 and the denominator by 8.

Look at this:

A).  6/14

      6 ÷ 3 = 2  
    14 ÷ 8 = 1.875      ===>  2/1.875     not interesting


B).  skip B for just a second

C).  4/9

       4 ÷ 3 = 1.33
       9 ÷ 8 = 1.125        ===>  1.33/1.125    not interesting

D).  15/35

       15 ÷ 3 = 5
       35 ÷ 8 = 4.375    ===>   5/4.375         not interesting

But now look at choice-B:

B).  9/24

       9 ÷ 3 = 3
     24 ÷ 8 = 3        ===>  1/1    interesting !

-- To simplify  9/24, the top and bottom were divided by 3, giving 3/8.

-- To UN-simplify  3/8, the top and bottom were multiplied by 3, giving 9/24.

-- Choice-B  is the one that's equivalent to 3/8.
______________________________________________

OK.  All of that wasn't really necessary.
All you really need to do is take each choice and simplify it.

A).  6/14
       Divide top and bottom by 2  ===>  3/7

B).  9/24
       Divide top and bottom by 3  ===>  3/8 

C).  4/9
       Can't be simplified.  Already in simplest form.

D). 15/35
     Divide top and bottom by 5  ===>  3/7

Related Questions

A con could drink up to 35 gallons of water in a day. How much quarts of water can a cow drink in a whole day
PLEASE HELP ME!!!!!!!!!:(
Find a ratio that compares the relative sizes of the quantities. 46 to 23
Suppose a population of 250 crickets doubles in size every 6 months. How many crickets will there be after 2 years?A. 1,000 crickets B. 2,000 crickets C. 4,000 crickets D. 6,000 crickets
Is this relationship a function?

Explain how the quotient of powers was used to simplify this expression 5^4/25=5^2

Answers

because 25 is 5^2 you can rewrite it as such
this gets you 
(5^4)/(5^2)  which you can then subtract the exponents since the base is the same, and 4-2=2

Chad washes windows after school to make some extra money. He charges $5.50 to wash each window. If the customer provides the supplies, Chad deducts $3.25 from the total cost. One customer paid a total of $27.50 and did not provide supplies. Which equation could be used to find the number of windows, w, that Chad washed for this customer? 5.5w + 3.25 = 27.5 5.5w - 3.25 = 27.5 5.5w = 27.5 5.5 - 3.25w = 27.5

Answers

Answer:

\$5.50w=\$27.50

Step-by-step explanation:

We know that Chad charges $5.50 per window washed, and he deducts $3.25 from the total cost if the costumer provides the supplies. However, in this case, the costumer doesn't provide the supplies, so Chad will charge $5.50 per window.

This relation can be expressed as

\$5.50w

Where w represents windows.

If he charges $27.50, the relation is

\$5.50w=\$27.50

Therefore, the right answer is the third choice \$5.50w=\$27.50

If you want to find the number of windows Chad washed, you just have to solve the expression

\$5.50w=\$27.50\nw=(\$27.50)/(\$5.50)\n w=5

Chad washed 5 windows.
3.25w=27.5 is the correct answer.

What is the solution for the following equation?
x^2-6x+9=11

Answers

make one side equal zero
minus 11 to both sides
x^2-6x-2=0
another quadratic equation

if you hahve
ax^2+bx+c=0
x=\frac{-b+/- \sqrt{b^(2)-4ac} }{2a}

1x^2-6x-2=0
a=1
b=-6
c=-2

x=\frac{-(-6)+/- \sqrt{(-6)^(2)-4(1)(-2)} }{2(1)}
x=(6+/- √(36+8) )/(2)
x=(6+/- √(44) )/(2)
x=(6+/- 2√(11) )/(2)
x=3+/- √(11)
x=3+ √(11) or 3- √(11)

aprox
x=6.31662 or -0.316625

Chris is trying to find the volume of a pool. What unit will he use?A) cubic feet
B) square feet
C) cubic inches
D) square inches

Answers

i'm pretty sure that it's cubic feet not really sure tho sorry
Chris will use Cubic feet.

Which of the following is the graph of 2x + 3y = 6?

Answers

Taking point (0,-2) of graph one and replacing in the equation;
2x+3y=6
2(0)+3(-2)=6
-6=6
So graph isn't the required graph.

Taking point (0,2) of graph 2;
2x+3y=6
2(0)+3(2)=6
6=6
So, graph 2 is the required graph.

Answer:

Option (c) is correct.

Step-by-step explanation:

 Given : Equation of line 2x + 3y = 6

We have to graph the given equation

Consider the given equation of line 2x + 3y = 6

We first find the points for different values of x and y

And then plot these points.

1) Put x = 0

We get ,

3y = 6

y = 2

2) Put y = 0

We get,

2x = 6

x = 3

Thus, we get the points (0, 2) and (3,0)

Now plot these to obtain a line, we get, see attchment

Option (c) is correct.

What is the solution of the system of equations c+3d=8 and c=4d-6?
Show work plz.

Answers

\left\{\begin{array}{ccc}c+3d=8\nc=4d-6\end{array}\right\n\nsubstitute:\n\n(4d-6)+3d=8\n4d+3d-6=8\ \ \ \ /+6\n7d=14\ \ \ \ /:7\nd=2\n\nc=4\cdot2-6=8-6=2\n\n\left\{\begin{array}{ccc}c=2\nd=2\end{array}\right
Other Questions
The sum of two integers is -123.If one of them is 325 , what is the other?
Suppose Q and R are independent events. Find P(Q and R) if P(Q) = 0.63 and P(R) = 0.48.0.0945 0.3024 0.15 1.11
You pay $3.00 to play. The dealer deals you one card. If it is a spade, you get $10. If it is anything else,you lose your money. Is this game fair?
The sum of the roots of the equation (1/2)x^2-(5/4)x-3=0a.5/2b.2c.1/2