All categories

3 years ago

Three red rods are 2cm longer than two blue rods. Three blue rods are 2cm longer than four red rods. How long is each rod?

Mathematics

1 answer:

nydimaria [60]3 years ago

4 0

Answer:

The length of each red rod is 10 cm and the length of each blue rod is 14 cm

Step-by-step explanation:

Let

x ----> the length of each red rod in centimeters

y ----> the length of each blue rod in centimeters

we know that

$3x=2y+2$ ----> equation A

$3y=4x+2$ ----> equation B

Solve the system by graphing

Remember that the solution of the system of equations is the intersection point both graphs

using a graphing tool

The solution is the point (10,14)

see the attached figure

therefore

The length of each red rod is 10 cm and the length of each blue rod is 14 cm

You might be interested in

Round each number to the nearest ten and estimate the sum.<br>82.14 + 38.5 + 41.3

blagie [28]

82.14 will be rounded down to 80, 38.5 will be rounded up to 40, and 41.3 will be rounded down to 40.

80 + 40 + 40 = 160

The approximate sum is 160.

5 0

3 years ago

Read 2 more answers

$6 is what percent of $8?

iren2701 [21]

Hello there!
The answer to your question is 75%
If you multiply 8 × 75% it equals 6
So, your answer is 75%
Hope I helped!

3 0

3 years ago

Read 2 more answers

Which is an ordered pair on the line 2.5,14 2.25,12 1.25,5 1.5,9

Savatey [412]

I would think that all but one point would be on the line. One way to approach this problem is to find the equation of the line based upon any two points chosen at random, and then determine whether or not the other points satisfy this equation. Next time, would you please enclose the coordinates of each point inside parentheses: (2.5,14), (2.25,12), and so on, to avoid confusion.
14-12
slope of line thru 1st 2 points is m = ---------------- = 2/0.25 = 8
2.50-2.25

What is the eqn of the line: y = mx + b becomes

14 = (8)(2.5) + b; find b:

14-20 = b = -6. Then, y = 8x - 6.

Now determine whether (12,1.25) lies on this line.

Is 1.25 = 8(12) - 6? Is 1.25 = 90? No. So, unless I've made arithmetic mistakes, (1.25, 5) does not lie on the line thru (2.5,14) and (2.25,12).

Why not work this problem out yourself using my approach as a guide?

5 0

3 years ago

In two months Mika spent a total of $305.43 on groceries. She spent $213.20 in the first month.How much did she spit in a second

Nostrana [21]

To find out how much she spent during the second month, all we have to do is subtract $305.43 and $213.20

$305.43 - $213.20 = $92.23

Therefore she spent $92.23 during the second month

Hope this helps

4 0

2 years ago

Read 2 more answers

G^2 + 4gh; if g = -3 and h = 5