I have no idea on how to does this... and neither did half of my class. Help?!?!

Find two numbers if their sum is 6.1 and their difference is 1.6

Radda [10]

For this case, the first thing we must do is define variables:
x: unknown number (1)
y: unknown number (2)
We now write the equations that model the problem:
their sum is 6.1:
$x + y = 6.1
$
their difference is 1.6:
$x - y = 1.6
$
Solving the system we have:
We add both equations:
$x + x = 6.1 + 1.6

2x = 7.7

x = 7.7 / 2

x = 3.85$
Then, we look for the value of y using any of the equations:
$x - y = 1.6

y = x - 1.6

y = 3.85 - 1.6

y = 2.25$
Answer:
The numbers are:
$x = 3.85

y = 2.25$

6 0

3 years ago

Read 2 more answers

Thomas reads 2/9 of a book on Monday and 1/6 of it on Tuesday. He reads twice as many pages on Wednesday as on Tuesday. What fra

dezoksy [38]

1/18 is left. Thomas has 1/18 left of his book. How? What denominator can 9&6 relate to? 54? Sure, but it could be lower. How about 18? Ok. We have 18 because 9x2 and 6x3 both equal 18... 2/9 becomes 4/18 because 18 divided by 9 is 2. You multiply 2 with the two from 2/9. 1/6 becomes 3/18 because 18 divided by 6 is 3. You then multiply 3 with the one from 1/6. Put it together and TA-DA... Your answer is 1/18

8 0

3 years ago

Tomas and Tasha were hiking at a speed of 3.5 mph. On their way back, they were tired and their speed was 2 mph. How long was th

Anna35 [415]

To get the length of the route use the expression for speed,

Distance = Speed × Time

Length of the route is 7 miles.

It's given in the question,

Speed of Tomas and Tasha initially = 3.5 mph

Therefore, distance travelled by both with the speed of 2 mph one way will be,

Distance = 3.5t [Here, t = time ]

Speed of both while coming back = 2 mph

And the time taken = t + (1 hour 30 minutes)

= (t + 1.5) hours

Therefore, distance travelled while coming back = Speed × Time

= 2(t + 1.5)

Since, length of the route is same both ways,

3.5t = 2(t + 1.5)

3.5t = 2t + 3

3.5t - 2t = 3

1.5t = 3

t = 2 hours

Now substitute the value of t in the expression to get the distance of the route,

Distance = 3.5t

= 3.5 × 2

= 7 miles

Therefore, route was 7 miles long.

Learn more,

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7 0

2 years ago

Read 2 more answers

Please need help asap!!

kirill [66]

The answer is 5 hope that helps

5 0

3 years ago

Roger has 15 cups of punch. He is filling glasses that fit 1/2 a cup each. How many glasses can he fill?

Tcecarenko [31]

Answer:

30

Step-by-step explanation:

If Rodger has 15 cups of punch. There are glasses that have a 1/2 cup capacity. This means he is going to divide a 15 cups into 1/2 cups.

15/1 x 2/1 = 30/1

This means he will have 30 cups to fill.

4 0

3 years ago