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Margarita [4]
3 years ago
9

Jill wants to find the quotient use multiplication and distributive property to help Jill find the quotient of 144 divided by 8

Mathematics
2 answers:
UkoKoshka [18]3 years ago
5 0
120+24 divided by 8=
144 divided by 8= 18 because 18 times 8 equals 144
zaharov [31]3 years ago
4 0

Answer:

144 ÷ 8 = 18

Multiplication property: 18 × 8 = 144

Distributive property: (8 × 10) + (8 × 8) = 80 + 64 = 144

Step-by-step explanation:

Consider the provided information.

Jill wants to find the quotient of 144÷8

144 ÷ 8 = 18

Now use the multiplication property.

We need to multiply a number let say a with 8 which will gives us 144.

This can be written as:

a × 8 = 144

The number is 18.

Multiplication property: 18 × 8 = 144

Now use the distributive property:

We can rewrite the number 144 as:

(8 × 10) + (8 × 8) = 80 + 64 = 144

Hence, by distributive property we can write it as: (8 × 10) + (8 × 8) = 80 + 64 = 144

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Find the equation of the line that passes through the point of intersection of x + 2y = 9 and 4x -2y = -4 and the point of inter
Rudik [331]

Answer:

y=-6x+10

Step-by-step explanation:

The point of intersection of

x+2y=9...eqn1


and


4x-2y=-4...eqn2

is the solution of the two equations.


We add equation (1) and equation(2) to get,

x+4x+2y-2y=9+-4


\Rightarrow 5x=5


\Rightarrow x=1

We put x=1 into equation (1) to get,

1+2y=9

\Rightarrow 2y=9-1

\Rightarrow 2y=8

\Rightarrow y=4


Therefore the line passes through the point, (1,4).


The line also passes through the point of intersection of

3x-4y=14...eqn(3)

and

3x+7y=-8...eqn(4)

We subtract equation (3) from equation (4) to obtain,

3x-3x+7y--4y=-8-14


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\Rightarrow y=-2


We substitute this value into equation (4) to get,

3x+7(-2)=-8


3x-14=-8


3x=-8+14


3x=6

x=2

The line also passes through

(2,-2)



The slope of the line is

slope=\frac{4--2}{1-2} =\frac{6}{-1}=-6


The equation of the line is

y+2=-6(x-2)

y+2=-6x+12


y=-6x+10 is the required equation





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