3 less than the quotient of 20 and x

Answers

Answer 1

Answer: The word 'quotient' tells you that the two numbers will be divided. So, the quotient of 20 and x is $(20)/(x)$ . The phrase 'less than' means you're taking the first number (3) away from the second number ( $(20)/(x)$ ). So, 3 less than the quotient of 20 and x is $(20)/(x)$ - 3 .

Answer 2

Answer: "3 less than" would be after the quotient of 20 and x."Less than" means subtraction. "quotient" means division .
So,the expression would have to be: (20÷3)-3
In other terms "twenty divided by three minus three." Any questions?

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What is the simplified form of the quantity 4 z squared minus 4z minus 15 over the quantity 2 z squared plus z minus 15? (6 points)

Answers

Answer: The simplified form of the given equation is $(2z+3)/(z+3)$

Step-by-step explanation:

From the given information, the numerator of the given fraction is: $4z^2-4z-15$

and denominator of the given fraction is $2z^2+z-15$

The fraction becomes:

$(4z^2-4z-15)/(2z^2+z-15)$

Applying middle term factorization in the numerator and denominator term, we get:

= $(4z^2-10z+6z-15)/(2z^2+6z-5z-15)$

= $(2z(2z-5)+3(2z-5))/(2z(z+3)-5(z+3))$

= $((2z+3)(2z-5))/((2z-5)(z+3))$

Cancelling (2z-5) factor from numerator an denominator, we get:

= $(2z+3)/(z+3)$

The above fraction is the simplified form of the equation formed in the question.

First you simplify it down to (2z+3)(2z-5)/(2z-5)(z+3)
Both of the brackets containing (2z-5) can now be cancelled out leaving you with a final answer of (2z+3)/(z+3)

A horse that weighs 1 1/4 tons is carrying a 110 pound person, a 15 ounce water bottle, and a 16 1/2 pound basket what is the weight of the horse, rider, and items in total?

Answers

Answer:

2635.875pounds

Step-by-step explanation:

Converting all the units to pounds for unit consistency. Let's convert

1 1/4tons horse weight and 15ounce water bottle to pounds.

According to the conversion;

1 ton = 2000pounds

1 1/4 tons = (2000×5/4)pounds = 2500pounds

Similarly for the conversion of ounce to pounds;

1 ounce = 0.625pound

15 ounces of water bottle = (0.625×15)pounds

= 9.375pounds

The total weight of the horse, rider, and items in total will give;

2500pounds horse + 110pounds person + 9.375pounds water bottle + 16.5pounds basket

= 2635.875pounds

What is 8.246 rounded to the nearest tenth

Answers

Actually the answer is 8.2

When rounding numbers, look for the number they are asking you to round to the nearest. In this case it's the tenths place.

8.246 the 2 is in the tenths place. Look at the number to the right of the 2.

8.246 the 4 is less than 5 so you have to round down. So therefore your answer is 8.2

Hope this helps. :)

8.3

you round up the with the thousandths place because it is over 5.
now, the 4 in the hundredths place becomes a 5, so you round up the tenths place.
the 2 becomes a 3.

“five and above, give it a shove. four and below, keep it low.” - my 5th grade teacher :)

hope this helps!

Please answer fast!!! Which of the following sets represents the range of the function shown?
{(-3, 4), (5, 11), (9, -1), (10, 13)}

{-3, 5, 9, 10)
{-1, 4, 11, 13}
{(4, -3), (11, 5), (-1,9), (13, 10)}
{-3,-1, 4, 5, 9, 10, 11, 13}

Answers

Answer:

{-3,-1, 4, 5, 9, 10, 11, 13}

Step-by-step explanation:

What is the most precise term for quadrilateral ABCD with vertices A(3,1) , B(4,5) , C(7,5) , D(7,2) answer choices; A. KITE B. SQUARE C. RHOMBUS D. PARALLELOGRAM

Answers

The most precise term for the quadrilateral ABCD with the given vertices is; A: KITE

PROPERTIES OF QUADRILATERALS

Let us first check for the slope of the diagonals. If they intersect at right angles, then they could be square, rhombus or kite.

Slope of diagonal AC = (5 - 1)/(7 - 3) = 1

Slope of diagonal BD = (2 - 5)/(7 - 4) = -1

Thus, slope 1/slope 2 = 1/-1 = - 1

This means they intersect at a perpendicular point.

Let us know find the coordinates of their midpoints. If they are the same, then it could be a square or a rhombus. If they are different, then it is a kite.

Midpoint of AC = (7 + 3)/2 AND (5 + 1)/2 = (5, 3)

Midpoint of BD = (7 + 4)/2 AND (2 + 5)/2 = (5.5, 3.5)

They are not the same and as such this is a kite.

Read more on properties of quadrilaterals at; brainly.com/question/2834250

Answer:

Step-by-step explanation:

Given are the vertices of a quadrilateral.

WE have to find the name of the quadrilateral

WE have slope of AC = (5-1)/(7-3) = 1

and slope of BD = (2-5)/(7-4) = -1

Since m1m2 =-1 we get

the diagonals cut at right angles

This property is special property for square, rhombus and kite only.

Let us check if diagonals bisect each other

Mid point of AC = $((3+7)/(2) ,(1+5)/(2) =(5,3)$

Mid point of BD = $((4+7)/(2) ,(2+5)/(2) =\neq 5,3)$

Since diagonals do not bisect this is neither rhombus nor square.

Only possibility is kite

MATH HELP ASAP PLSSSS

Answers

Hey there! :)

Answer:

(30, 0).

Step-by-step explanation:

Solve for the x-intercept, or zero of the equation by setting the equation equal to 0:

y = -2/5x + 12 becomes:

0 = -2/5x + 12

Subtract both sides by 12:

-12 = -2/5x

Divide both sides by -2/5:

-12 (-5/2) = -2/5x (-5/2)

30 = x.

Therefore, the x-intercept is at (30, 0).

Answer:

(30,0)

Step-by-step explanation:

y=0

-2/5 *x +12=0

2x/5=12

2x=12*5

2x=60

x=60/2

x=30

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