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Ronch [10]
3 years ago
10

60 feet per second to kilometer per hour

Mathematics
2 answers:
Pani-rosa [81]3 years ago
7 0

Answer:

65.8km/h (to one decimial place).

Julli [10]3 years ago
7 0

Answer:

65.8368

Step-by-step explanation:

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Choose the equivalent system of linear equations that will produce the same solution as the one given below.
Amanda [17]
<h2>Greetings!</h2>

Answer:

Option 4

Step-by-step explanation:

Firstly, we need to make the two x's or the two y numbers the same. Lets multiply the second equation by 2:

(2x + 3y = 5 ) * 2 =

4x + 6y = 10

Now, subtract the second equation from the first one:

(4x - y = -11) - (4x + 6y = 10)

4x - 4x = 0

-y - 6y = -7y

-11 - 10 = -21

-7y = -21

Divide both sides by -7:

y = 3

Plug 3 into the first equation as y:

4x - 3 = -11

4x = -11 + 3

4x = -8

x = -2

So x = -2 and y = 3. We need to find one of the options that equals this.


<h3>Option  1)</h3>

-4x - 9y = -21

-10y = -30

40x - 90y = -210

-90y = -270

40x - 0 = 40x

-90y - - 90y = -90 + 90 = 0y

-210 - -270 = -210 + 270 = 60

40x = 60

x = 1.5

We already know this isn't equivalent because the x value is not the x value of the given equation.


<h3>Option 2) </h3>

4x + 3y = 5

2y = -6

_______

8x + 6y = 10

6y = -18

8x - 0 = 8x

6y - 6y = 0

10 - -18 = 10 + 18 = 28

8x = 28

x = 3.5

So we know this isn't equivalent because again, the x value isn't the same as the given equation.


<h3>Option 3</h3>

7x - 3y = -11

9x = -6

-----------

63x - 27y = -99

63x = -42

----------------

63x - 63x = 0

-27y - 0 = -27y

-99 - - 42 = -99 + 42 = -57

-27y = -57

-9y = -19

9y = 19

y = 19/9

So we know this one isn't equivalent as the y value isn't the same as the given equation.


<h3>Option 4</h3>

12x - 3y = -33

14x = -28

x = -28/14 = -2

12(-2) - 3y = -33

-24 - 3y = -33

-3y = -33 + 24

-3y = -9

y = 9/3

y = 3

So x = -2 and y = -3 which is the same as the first equation.


<h2>Hope this helps!</h2>
3 0
3 years ago
Read 2 more answers
Let (3, -2) be a point on the terminal side of 0.
saveliy_v [14]

Answer:

sinθ = -0.554

tanθ = -0.667

secθ = 1.203

Step-by-step explanation:

Consider the point (3, -2)

The value of x is positive and the value of y is negative.

It means the the terminal sides of angle lies in 4rth quadrant, such that:

Base = 3

Perpendicular = 2

Hypotenuse² = 2² + 3²

Hypotenuse =  3.61

sinθ = Perpendicular /Hypotenuse

sinθ = 2/3.61

As sine is negative in 4rth quadrant

sinθ = - (2/3.61)

sinθ = -0.554

tanθ = Perpendicular/ Base

tanθ = 2/3

tanθ = 0.667

As tan is negative in 4rth quadrant

tanθ = -0.667

secθ = Hypotenuse/Base

secθ = 3.61/3

secθ = 1.203

secant is positive in 4rth quadrant

3 0
3 years ago
FAST PLEASEEEE!!! 10 POINTS!!!!!! SHOW WORK FOR ALL!!!!! PLEASE # EACH QUESTION!!!!!
klasskru [66]

Answer:

Note that when there is a negative & positive sign, the sign would become negative. When there is two negative signs directly next to each other, it would become positive.

1. First, find common denominators, what you do to the denominator, you do to the numerator.

(5/9) - (1/3) = (5/9) - (1/3)(3/3) = (5/9) - (3/9) = 2/9

2. In the case of multiplication and division, you do not need common denominators. Multiply across, and simplify.

(2/5)(3/4) = 6/20 = (6/20)/(2/2) = 3/10

3. Simplify. Combine the numbers.

-4.6 + (-8.1) = -4.6 - 8.1 = -12.7

4. Simplify. Combine the numbers.

102 + (-35) = 102 - 35 = 67

5. Simplify. Combine the numbers.

8 - (-3) - 10 = 8 + 3 - 10 = 11 - 10 = 1

6. Note the variables. Combine numbers with the same amount of variables.

10 - 5 - 2x + 4x = 5 + 2x

~

6 0
4 years ago
The Science Club went on a field trip. The members paid $60 for transportation plus $15 per ticket to the planetarium.
Komok [63]

Answer:

60 +(n x 15) = total cost

Step-by-step explanation:

6 0
2 years ago
What’s the answer??? <br><br> And please explain
belka [17]

Answer:

35 square units

Step-by-step explanation:

area \: of \:  { \parallel}^{gm}  = b \times h \\  = 7 \times 5 \\  = 35 \:  {units}^{2}

7 0
3 years ago
Read 2 more answers
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