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3 years ago

How many cars averaged less than 30 miles per gallon?

Mathematics

1 answer:

Phoenix [80]3 years ago

4 0

5 cars are 0-9

15 cars are 10-19

55 cars are 2-29

5 + 15 + 55 = 75 total cars are less than 30 miles per gallon.

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Solve the system. find x,y, and z please show all steps x-y+z=1 x+y+3z=-3 2x-y+2z=0

Mariulka [41]

Solving the system we get, x= -1, y= -2 and z= 0

Step-by-step explanation:

Solving the equations to find x, y and z

$x-y+z=1\,\,\,eq(1)\\x+y+3z=-3\,\,\,eq(2)\\2x-y+2z=0\,\,\,eq(3)$

Adding eq(1) and eq(2)

$x-y+z=1\\x+y+3z=-3\\--------\\2x+4z=-2\,\,\,\,eq(4)\\$

Adding eq(2) and eq(3)

$x+y+3z=-3\\2x-y+2z=0\\----------\\3x+5z=-3\,\,\,eq(5)$

Multiplying eq(4) by 3 and eq(5) by 2

$6x+12z=-6\\6x+10z=-6\\-\,\,\,-\,\,\,\,\,\,\,\,\,\,\,\,\,\,+\\----------\\2z=0\\z=0$

So, value of z =0

Putting value of z in eq(4)

$2x+4z=-2\\2x+4(0)=-2\\2x=-2\\x=-1$

So, value of x = -1

Now putting value of z=0 and x =-1 in equation 1

$x-y+z=1\\-1-y+0=1\\-y=1+1\\-y=2\\y=-2$

So, value of y = -2

So, solving the system we get, x= -1, y= -2 and z= 0

Keywords: Solve the system

Learn more about Solve the system at:

#learnwithBrainly

7 0

3 years ago

Is p=7 a solution of the equation 4p - 5 =16

Ann [662]

No.

4p - 5 = 16

Isolate the variable and the constant.

4p = 21

p = 21/4

7 0

3 years ago

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What does 3/m = 6/7 equals

katrin [286]

Answer:

7/2 = m

Step-by-step explanation:

We can use cross products to solve

3 6

--- = ------

m 7

3*7 = 6*m

Divide each side by 6

21/6 = 6m/6

7/2 = m

7 0

2 years ago

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PLS HELP WILL GIVE BRAINEST

Nataly_w [17]

Answer:

D. is your answer

Step-by-step explanation:

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3 years ago

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James notes the angle of elevation of the top of tower to be 30 degree if James is 100meter away horizontally from the base of t

noname [10]

Answer:

h = 57.73 m

Step-by-step explanation:

We have,

The angle of elevation of the top of tower to be 30 degree

James is 100 m away horizontally from the base of the tower.

It is required to find the height of the tower.

Here, angle is 30 degree

Base, b = 100 m

Let h is the height of the tower. The relation between base and height is given by :

$\tan\theta=\dfrac{h}{b}\\\\h=b\times \tan\theta\\\\h=100\times \tan(30)\\\\h=57.73\ m$

So, the height of the tower is 57.73 m.

3 0

3 years ago