All categories

3 years ago

The weight of an object is equal to 3\4 of its own weight plus 3\4of a pound. What is the weight?

Mathematics

1 answer:

Phoenix [80]3 years ago

8 0

Answer:

The weight of the object is 3 kg.

Step-by-step explanation:

Step 1:

Let object weight be x kg.

Now, as per the available data,

3/4 kg + 3/4 (x kg) = x kg

Step 2:

3/4 (1 + x) = x

1 + x = 4x/3

1 = x (4/3 - 1)

x = 1 / (1/3)

x = 3

Weight of Object is 3 kg.

Step 3:

Let's check if this value satisfies the first equation.

3/4 + 3/4 x 3 = 3/4 + 9/4 = 12/4 = 3

Hence proved.

You might be interested in

25 is 36% of what number

ch4aika [34]

Answer:

x = 69.44

Step-by-step explanation:

We have, 36% × x = 25

or, 36/100 × x = 25

Multiplying both sides by 100 and dividing both sides by 36,

we have x = 25 × 100/36

x = 69.44

If you are using a calculator, simply enter 25×100÷36, which will give you the answer.

4 0

1 year ago

NEED HELP ASAP Given G (-6,5) and H (2, -7), what is the length of GH

lesya692 [45]

$\bold{\huge{\green{\underline{ Solution }}}}$

$\bold{\underline{ Given}}$

We have given that the coordinates of the end point G and H are ( -6,5) and ( 2, -7 )

$\bold{\underline{To \: Find :- }}$

We have to find the length of GH

$\bold{\underline{Let's \: Begin :- }}$

The coordinates of G = ( -6 , 5 )

The coordinates of H = ( 2 , - 7 )

According to the distance formula, we get :- 

$\purple{\bigstar}\boxed{\sf{Distance\:\:GH=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2\;}}}$

Here, x1 = -6 , x2 = 2 and y1 = 5 , y2 = -7

Subsitute the required values in the above formula 

$\sf{ Distance \:GH = √( -6 - 2)² + ( 5 -(-7))²}$

$\sf{Distance\:GH= √(-8)^2+(5 + 7)^2}$

$\sf{Distance\:GH=√(-8)^2+(12)^2}$

$\sf{ Distance \:GH =√64 + 144 }$

$\sf{ Distance \:GH =√ 208}$

$\sf{ Distance\: GH = √ 2 × 2 × 2 × 2 × 13}$

$\sf{ Distance \:GH = 4√13}$

$\sf{\red{ Hence\: the \: length\:of \: GH \: is \: 4√13 \: units}}$

3 0

2 years ago

Which choice is the equation of a line that passes through the point (–6, –2) and is perpendicular to the line represented by th

kobusy [5.1K]

Answer:

B. y = 1/3x

Step-by-step explanation:

The slope of the given line is -3, so the slope of the perpendicular line will be the negative reciprocal of that: -1/(-3) = 1/3. This eliminates choices A and C.

We can find the y-intercept (b) if we use the given point values in the equation ...

y = 1/3x +b

we get ...

-2 = (1/3)(-6) +b

-2 = -2 +b . . . simplify

0 = b . . . . . . . add 2

So, the equation of the perpendicular line through the given point is ...

y = 1/3x . . . . matches choice B

_____

Alternate solution method

You can try the given point in the given equations. You will find that only the equation of choice B will work.

7 0

3 years ago

KLMN is a parallelogram,

Aleonysh [2.5K]

Answer:

Ok soo.

Step-by-step explanation:

sum of two adjacent angles of parallelogram is 180

so angle K + angle L = 180

as AK bisects angle K and LA bisects angle L

so, angle AKL + angle ALK = 180 /2 = 90

in triangle AKL,

angle AKL + angle ALK+angle KAL = 180(sum of all angles in triangle = 180)

so, from above two equations,

angle KAL = 90

_____________________________________________

❂✨Answered By Tokyo ✨❂

❉ Brainliest Would Be Appreciated❉

✯If You Have Questions Ask In the Chat Box✯

4 0

3 years ago

. You got 46 out of 65 questions right on your exam. What's your grade?

larisa86 [58]

Answer:

about like 8 /10

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers