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yKpoI14uk [10]
2 years ago
13

Help Use the distributive property to demonstrate that the product of 10 and -(1)/(5) is a negative number. Make sure to include

all steps in your answer.
Mathematics
1 answer:
marissa [1.9K]2 years ago
3 0

Answer:

-2

Step-by-step explanation:

We have to multiply 10 and \frac{-(1)}{(5)}

Here we have to distribute the negative sign.

Distributive property = -(a) = -a

Using the above property, we get  \frac{-(1)}{(5)} = \frac{-1}{5}

Now we have to multiply 10 and  \frac{-1}{5}

= 10 ×  \frac{-1}{5}

= \frac{10 times -1}{5}

= \frac{-10}{5}

Now we have to divide -10 by 5.

= -2

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Plzzzzzzzzzzzz help me
grigory [225]

Answer:

y=-3/2x+6

Step-by-step explanation:

You can find the slope by taking two points on the graph, and making the one that occurs earlier in the graph (from left to right) the first point (x1, y1) and the one that occurs later in the graph the second point (x2, y2). The equation is m (or slope)=(y2-y1)/(x2-x1). I took the first two points in the table for this. m=(12-18)/-4-(-8)

the double negative on the bottom becomes an addition=> (12-18)/(-4+8)

the top simplifies to be -6 and the bottom simplifies to 4=>-6/4

this fraction can be reduced to -3/2, which is the slope of the graph.

Now, use point slope form (y-y1=m(x-x1)) to find the equation of the graph. Plug any coordinate on the graph in for x1 and y1 here. It should be correct as long as it is a point on the graph, but I am using the point (-8, 18) here.

=>y-18=-3/2(x-(-8))

the double negative in the parentheses becomes a positive=> y-18=-3/2(x+8)

distribute the -3/2 to every term in the parentheses=> y-18=-3/2x-12

add 18 to both sides, cancelling out the -18 on the left side of the equation=>y=-3/2x+6 (-12+18=6 to get 6 for b).

Therefore, the equation is y=-3/2x+6

6 0
2 years ago
Working together, it takes two different sized hoses 20 minutes to fill a small swimming pool. If it takes 30 minutes for the la
Anuta_ua [19.1K]

Answer:

60 minutes for the larger hose to fill the swimming pool by itself

Step-by-step explanation:

It is given that,

Working together, it takes two different sized hoses 20 minutes to fill a small swimming pool.

takes 30 minutes for the larger hose to fill the swimming pool by itself

Let x be the efficiency to fill the swimming pool by larger hose

and y be the efficiency to fill the swimming pool by larger hose

<u>To find LCM of 20 and 30</u>

LCM (20, 30) = 60

<u>To find the efficiency </u>

Let x be the efficiency to fill the swimming pool by larger hose

and y be the efficiency to fill the swimming pool by larger hose

x = 60/30 =2

x + y = 60 /20 = 3

Therefore efficiency of y = (x + y) - x =3 - 2 = 1

so, time taken to fill the swimming pool by small hose = 60/1 = 60 minutes

8 0
3 years ago
28/29 and 30 please short explanation thanks
Bond [772]

Answer 28.

Possible values for the three factors of -3

  1. 1, -1 and 3
  2. -1.5, 1 and 2
  3. 1.5, -1 and 2  
  4. 1.5, 1 and -2

Answer 29.

The product of two nonzero integers will be less than or equal to both of the integers if they are multiplied by number itself and one or by number itself and one with negative sign.

Answer 30.

The sign of the product of three integers with the same sign will be positive or negative. If odd number of same sign is multiplied, the product will be of that sign.

(+)  (+)  (+) = (+)

(-)  (-)  (-) =  (-)

3 0
3 years ago
Urgent help needed. Will mark you brainlest when correct
posledela

Question 7: Option (4)

A=(3/8)^2=\frac{9}{64}

Question 8: Option (3)

A=\frac{1}{2}(17)(9)=76.5

Question 9: Option (2)

A=\pi(10)^2 \approx 314

7 0
1 year ago
Find the length of the third side. If necessary, write in simplest radical form.
pychu [463]

Answer: 84 is your answer hope this helped

plz make brainly

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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