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iren [92.7K]
2 years ago
7

Create a system of equations with a solution of (4,1)

Mathematics
1 answer:
Pani-rosa [81]2 years ago
4 0

Answer:

x + y = 5 (or) xy = 4 (or) x - y = 3

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A boat travels upstream for 48 miles in 3 hours and returns in 2 hours traveling downstream in a river. What is the rate of the
alekssr [168]

Answer:

20 mph and 4 mph

Step-by-step explanation:

GIVEN: A boat travels upstream for 48 miles in 3 hours and returns in 2 hours traveling downstream in a river.

TO FIND: What is the rate of the boat in still water and the rate of the current.

SOLUTION:

Let the speed of boat in still water be s and speed of current be a.

\therefore speed of water in upstream =s+a

  speed of water in downstream =s-a

As  speed=\frac{distance}{time}

s+a=\frac{48}{3}=16

s-a=\frac{48}{2}=24

Solving both we get

s=20\text{ mph}

a=4\text{ mph}

Hence speed of boat in still water and rate of current is 20mph and 4mph respectively.

3 0
3 years ago
Y < 3 includes three as a possible solution
irakobra [83]
False...it does not include 3....it includes only numbers less then 3.

For it to include 3, u would need an equal sign in there..
Y < = 3...(thats less then or equal)...this would include 3
6 0
3 years ago
How many labeled points are between points b and u ?
Olenka [21]

Answer:

It is difficult to give a specific answer without your scenario but maybe this may help you out a bit.

Let's say you have a line like the one attached:

I labelled certain points b and u so you can use it as a reference. Now all you need to do is count all the points that lie on the same line and are found between.

In this case it would be point d and point e because the rest of the points do not line on the same line. For this problem particular scenario, the answer would be 2.

7 0
3 years ago
Shea and her best friend Kelly both babysit during the summer. Shea charges $4 per hour plus a $3 service fee, while Kelly charg
Gnom [1K]
4h+3=The Pay of Shea 3.5h +6= The pay of Kelly 4h+3=3.5h+6 -3 -3 4h=3.5h+3 -3.5h .5h=3 *2 *2 h=? Then stick "h" into one of the original equations and solve for someones pay to get "p" 3.5(h)+6=p OR 4(h)+3 =p
6 0
3 years ago
Read 2 more answers
One angle of a triangle has a measure of 66. The measure of the third angle is 57 more than half the measure of the second angle
Daniel [21]

So let's say that the second angle is x.

Then we can say that the third angle is \frac{1}{2}x+57.

So then we have three angles:

1) 66°

2) x°

3) (\frac{1}{2}x+57)°

So then we can add these together and solve for x by setting it equal to the total degrees left in the triangle after subtracting the known angle:

x+\frac{1}{2}x+57=114

\frac{3}{2}x+57=114

\frac{3}{2}x=57

\frac{2}{3}*\frac{3}{2}x=57*\frac{2}{3}

x=\frac{114}{3}  =38

So now we know that the measure of the second angle is 38°. So then we can use this value to solve for the third angle:

\frac{1}{2}(38) +57=76

So the values of the angles are:

1) 66°

2) 38°

3) 76°

5 0
3 years ago
Read 2 more answers
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