Rohit rode his bike 5 2/3

Mathematics

1 answer:

yuradex [85]3 years ago

6 0

Answer:

as a decimal 5 2/3 would be 5.67 rounded to the nearest hundredth. As a decimal 5 1/5 5.2 to the nearest tenth.

Rohit rode his bike a greater distance because 5 2/3 is only 1/3 away, while 5 1/5 is 4/5 away.

I hope this helps!

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A toy company manufactures arcade games. They are marketing a new pinball machine to children. It is similar in size to the adul

nikdorinn [45]

First we need to find the distance from G to A, or the length of segment GA

For now we'll call this x since it's unknown. This value x adds to the other three sides of the figure to get the perimeter to be 172 inches (given)

So,

EG + GA + AM + ME = perimeter

56 + x + 56 + 35 = 172

x+147 = 172

x+147-147 = 172-147 .... subtract 147 from both sides

x = 25

So segment GA is 25 inches

We'll use this to find the length of segment G'A' which corresponds to GA

The other horizontal sides EM and E'M' also correspond, so we'll pair these sides up and form the proportion below

(GA)/(G'A') = (EM)/(E'M')

which turns into this

25/y = 35/14

when we use y in place of G'A'. Like x, y is unknown at first until we solve for it. Let's isolate y

25/y = 35/14

25*14 = y*35 .... cross multiply

350 = 35y

35y = 350

35y/35 = 350/35 .... divide both sides by 35

y = 10

---------------------------------------------------

<h3>Final Answer: The length of G'A' is 10 inches</h3>

3 0

3 years ago

Brainlieat.

Diano4ka-milaya [45]

So for this, we will be doing a system of equations, with one equation representing the total invested and the other equation representing the total gained from the investments. But first, we have to do calculations:

firstly, to represent a percentage gain (in this case 12% gain) you are to add 0.12 (12% in decimal form) to 1 to get 1.12. <em>Keep 1.12 in mind, as it will be used for the equations.</em>

Next, to represent a percentage loss (in this case 11%), you are to subtract 0.11 (11% in decimal form) from 1 to get 0.89. <em>Keep 0.89 in mind, as it will be used in the equations.</em>

Next, we need to find the total amount of money after the investments. To do this, add 21,000 and 1,715 together to get 22,715. <u>$22,715 is the total amount of money gained in 1 year.</u>

Now that we have all of our information, we can form our equations as such:

Let x = $ invested into the account with 12% gain and y = $ invested into the account with 11% loss

$x+y=21000\\1.12x+0.89y=22715$

Now with these system of equations, I will be using the substitution method. So firstly, with the first equation subtract x on both sides of that equation:

$y=21000-x\\1.12x+0.89y=22715$