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Lena [83]
3 years ago
6

How many solutions does this system have?

Mathematics
1 answer:
777dan777 [17]3 years ago
8 0

Answer: One

Step-by-step explanation: Recall that intersecting lines have one solution and therefore the system is consistent. Because the lines are not the same, the equations are independent.

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The gym has a total of 25 treadmills and stationary bikes. there are seven more stationary bikes than treadmills.
Rudik [331]

The system of equations is t+b=25\\b=t+7

Step-by-step explanation:

We can answer this question as follows.

First of all, we call:

t = number of treadmills

b = number of stationary bikes

The two conditions that we have can be translated into equations as follows:

- The gym has a total of 25 treadmills and stationary bikes:

t+b=25

- There are seven more stationary bikes than treadmills:

b=t+7

So the system of equations to solve is

t+b=25\\b=t+7

We now solve it in the following way: first, we rewrite the second equation by bringing t on the left side,

t+b=25\\b-t=7

Now we add the 1st equation to the 2nd equation:

(t+b)+(b-t)=25+7\\t+b+b-t=32\\2b=32\\b=\frac{32}{2}=16

And therefore,

t+b=25\\t+16=25\\t=25-16=9

So, there are 16 stationary bikes and 9 treadmills.

Learn more about systems of equations:

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3 0
3 years ago
121 slabs . How many slabs will she need to lay in each row to make a square
netineya [11]

She needs to lay 11 slabs on each row to make a square

<h3>How to determine the number of slabs in each row?</h3>

The total number of slabs is given as:

Total = 121 slabs

Let this represent the area of the slab.

The area of a square is calculated as:

Area = Length^2

Substitute the known values in the above equation

Length^2 = 121

Take the square root of both sides

Length = 11

Hence, she needs to lay 11 slabs on each row to make a square

Read more about squares at:

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4 0
2 years ago
If the statement, "If I am hungry, then I am not happy," is assumed to be true, is its negation, "If I am not hungry, then I mus
garik1379 [7]
The negation isn't always true, as you can be unhappy while also not being hungry. 
3 0
3 years ago
What is the volume of the prism below? 12 in 16 in 9 in
Inga [223]

Answer:

1728 units cubed

Step-by-step explanation:

V = LWH
V = 12x16x9
V = 1728

5 0
2 years ago
Please help!!!! No explanation needed <br> Help is appreciated
Elodia [21]

Answer:

A

-Brain Indigo

8 0
3 years ago
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