MATHEMATICS HIGH SCHOOL

Use the distributive property to find the product of the rational number. -3/4 ( -1/5 - 3/5)
A. 3/5
B. 4/5
C. 9/20
D. - 3/5

Answers

Answer 1
Answer:

After using distributive property the product of the rational number is equals to (3)/(5) .

What is rational number?

" Rational number is defined as the number which is represented in the (p)/(q) , q\neq 0 form ."

Distributive property

A ( B \± C) = AB \± AC

According to the question,

Given product of the rational number,

(-3)/(4)( (-1)/(5)-(3)/(5))

Apply distributive property to simplify the given rational number we get,

((-3)/(4))( (-1)/(5))-((-3)/(4)) ((3)/(5))\n\n= ((3)/(20))+((9)/(20))\n\n= ((12)/(20))\n\n= ((3)/(5))

Hence, Option(A) is the correct answer.

Learn more about  rational number here

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Answer 2
Answer: You multiply the fractions and then add the distributed fractions and you then simplify.

The answer is 3/5.

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Answers

Answer: I THINK 4.

Step-by-step explanation:

Sorry if it is wrong!! :'D

Please help. i dont understand what i have to do and how to get it. thank you

Answers

Answer:

\left[\begin{array}{ccc}9\n10\n\end{array}\right]

Step-by-step explanation:

Evaluate 3a by multiplying each element by 3

3a = 3 \left[\begin{array}{ccc}2\n4\n\end{array}\right] = \left[\begin{array}{ccc}3(2)\n3(4)\n\end{array}\right] = \left[\begin{array}{ccc}6\n12&\n\end{array}\right], then

3a + b

= \left[\begin{array}{ccc}6\n12\n\end{array}\right] + \left[\begin{array}{ccc}3\n-2\n\end{array}\right] ← sum corresponding elements

= \left[\begin{array}{ccc}6+3\n12-2\n\end{array}\right]

= \left[\begin{array}{ccc}9\n10\n\end{array}\right]

In an orchestra the ratio of trombones to violas is 1 to 3.a. There are 9 violas. write a proportion that gives the number t of trombones in the orchestra.
b. How many trombones are in the orchestra? Please help, I'm in 8th grade! (:Thank youu..

Answers

Answer:

Givens

  • The ratio of trombones to violas is 1 to 3, that is, for every trombone there are 3 violas. (t)/(v)=(1)/(3)

So, if there are 9 violas, the number of trombones is three, because 9 violas represents a triple proportion, which means we need to multiply by 3 to find the number of trombones according to the given proportion.

(t)/(9)=(1)/(3)\nt=(9)/(3)\n t=3

The expression that gives the number of trombones is

(t)/(9)=(1)/(3)

The number of trombones is 3, there are 3 trombones while there are 9 violas.
The proportion would be 1/3 and x/9. Cross multiplication creates 3x=9. Divide both sided by three, and there are 3 trombones in the orchestra.

Why is the denominator of each fraction 12?
Pls help me

Answers

Answer: because it is out of 12

Step-by-step explanation:
Because 3+4+5 equals 12.

Which equation represents the line that passes through the points (6 -3) and (-4 -9)

Answers

This answer will get deleted...but I do not have time to post the work on this one..

m= 3/5

b=-33/5

y= (3)/(5) x+- (33)/(5)

Thus, your equation.
Lets first find the slope:
(y₂-y₁)=m(x₂-x₁)
(-9-(-3)) = m(-4-6)
-6 = m(-10)
Isolate m:
(-6)/(-10) = (m(-10))/(-10)
-10 and -10 cancels out
(-6)/(-10)  =  m
(3)/(5) = m

Now we know the slope, which is (3)/(5)

The equations is 
y = mx + c
Take any two coordinates from the given above

Im taking (6,-3)
Plug in those coordinates and the slope to the formula

-3 = (3)/(5)(6) + c
-3 = (18)/(5) + c
Isolate c
-3 - (18)/(5) = c
- (33)/(5) = c
which gives us:
-6.6 = c

Now plug in the slope and c in the equation:

y = (3)/(5)x+ (-6.6)
or
y = (3)/(5)x +(-(33)/(5))

you were planning to use a ceramic tile design in your new bathroom. The towels are blue and white equilateral triangle of you decides arrange the blue tiles in a hexagonal shape as shown if the side of each tile measures 7 cm what were the exact area of each hexagonal shape

Answers

I found the image that should have accompanied this problem.

Given:
equilateral triangle with sides that measures 7cm.
hexagonal shape meaning 6 sides or 6 equilateral triangles used.

Area of an equilateral triangle = √3/4 * a²
A = √3 /4 * (7cm)²
A = 1.73/4 * 49cm²
A = 21.20 cm²

21.20 cm² * 6 tiles = 127.20 cm²  ARea of the hexagon.
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