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3 years ago

9

On monday, you run on a treadmill for 1/2 hour at x miiles per hour. On tuesday, you walk the same distance on a treadmill, but

2 MPH slower, and it takes you 3/4 hour. How many miles did you run on monday?

1 answer:

just olya [345]3 years ago

3 0

Answer:3

miles run on Monday

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Solve the system by elimination 1: x+5y-4z=-10, 2x-y+5z=-9, 2x-10y-5z=0 .. . 2. Solve the system by substitution: 2x-y+z=-4, z=5

Kryger [21]

1 )
1st and 2nd equation (multiply 1st by -2 ):
-2x - 10 y + 8 z = 20
2 x - y + 5 z = -9
---------------------------
- 11 y + 13 z = 11 / * ( -20 )
1st and 3rd:
- 2 x - 10 y + 8 z = 20
2 x - 10 y - 5 z = 0
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- 20 x + 3 z = 20 / * 11
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220 y - 260 z = -220
- 220 y + 33 z = 220
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z = 0, y = -1, x = - 5
2 )
2 x - y + 5 = -4
- 2 x + 3 y - 5 = - 10
Substitution: y = 2 x + 9
- 2 x + 3(2 x + 9 ) = -5
4 x = - 32, x = -8, y = -7, z = 5
3 )
x + y + z = 11
1.5 x+3 y +1.5 z = 21
x = 2 y
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3 y + z = 11 / * (-2)
6 y + 1.5 z = 21
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- 6 y - 2 z = -22
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Answer: the store used 6 pounds of peanuts, 3 pounds of almonds and 2 pounds of raisins.

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3 years ago

If the Discriminant of an equation is zero, which of the following is true of the equation?

VARVARA [1.3K]

Answer:

a) it has one real solution

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4 years ago

Which property is shown below?

ElenaW [278]

Answer:

C

Step-by-step explanation:

5+2y+3z=5+3z+2yA

Intercambie los lados para que todos los términos de las variables estén en el lado izquierdo.

5+3z+2yA=5+2y+3z

Resta 5 en los dos lados.

3z+2yA=5+2y+3z−5

Resta 5 de 5 para obtener 0.

3z+2yA=2y+3z

Resta 3z en los dos lados.

2yA=2y+3z−3z

Combina 3z y −3z para obtener 0.

2yA=2y

Anula 2 en ambos lados.

yA=y

Divide los dos lados por y.

y

yA

=

y

y

Al dividir por y, se deshace la multiplicación por y.

A=

y

y

Divide y por y.

A=1

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3 years ago

Aaron runs a distance of 7.2km in the SE direction. How far east has Aaron run? Answer correct to one decimal point

timofeeve [1]

Step-by-step explanation:

cos 45° = distance to east / total distance=7,2

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2 years ago

Jon is selling tickets for the school talent show. On the 1st day, he sold 3 senior tickets and 12 child tickets for $195. On th

Allisa [31]

<h3>Question:</h3>

<em>Jon is selling tickets for the school talent show. On the 1st day, he sold 3 senior tickets and 12 child tickets for $195. On the 2nd day he sold 13 senior tickets for $299. Find the price of a senior citizen ticket.</em>

<h3>Answer:</h3>

$23

Create a system of equations to help you solve this problem. The system of equations will look like: 3s + 12c = 195 and 13s = 299. The variable s represents the cost of senior tickets and the variable c represents the cost of children tickets.

$\left \{ {{3s~+~12c~=~195} \atop {13s~=~299}} \right.$

Solve the second equation for the variable s as this is the easiest way to solve the problem. Solve the second equation for s by dividing both sides of the equation by 13 to isolate the variable s.

s = 23

Since the question was only asking for the price of a senior citizen ticket, you are technically done. The first equation was only put there to confuse you or allow you to check your work if you needed to. The price of a senior citizen ticket (variable s) is $23.

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3 years ago