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solniwko [45]
3 years ago
14

Planes X and Y and points C, D, E, and F are shown.

Mathematics
1 answer:
valentinak56 [21]3 years ago
8 0

Answer:

6

Step-by-step explanation:

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Lance has three times as many pencils as Nick, and they have 84 pencils together. How many pencils does each of them have?
STALIN [3.7K]

Answer:

Let Lance represented by L and Nick represented by N

As per the statement:

Lance has three times as many pencils as Nick

⇒L = 3N         .....[1]

It is also given that:

They have 84 pencils together.

⇒L+N = 84               .....[2]

Substitute the equation [1] into [2] we have;

3N+N = 84

⇒4N = 84

Divide both sides by 4 we have;

N = 21

Substitute this in [1] we have;

L = 3(21) = 63

Therefore, Lance has 63 pencils and Nick has 21 pencils

6 0
4 years ago
Read 2 more answers
The point P( 0.5 , 10 ) lies on the curve y = 5 / x . Let Q be the point (x, 5 / x ) . a.) Find the slope of the secant line PQ
zalisa [80]

Answer:

Based on the results  it is expected that the slope of the tangent line at the point (0.5,10) is -20.

Step-by-step explanation:

To see that compute, the slopes for the given points as follows:

1. For x=0.6 we have:

m=\dfrac{(5/0.6)-10}{0.6-0.5}=-16.66

2. For x=0.51 we have:

m=\dfrac{(5/0.51)-10}{0.51-0.5}=-19.60

3. For x=0.4 we have:

m=\dfrac{(5/0.4)-10}{0.4-0.5}=-25.00

4. For x=0.49 we have:

m=\dfrac{(5/0.49)-10}{0.49-0.5}=-20.40

So, we observe that the slope of the tangent line at (0.5, 10) is close to the value -20.

The graph shown below is useful to see the secant lines that approximates the tangent line.

7 0
4 years ago
-2x+5/2= 17
Alenkinab [10]
No the answer is 5x because simply then,add x

3 0
3 years ago
Read 2 more answers
I don’t know if I’m correct or not help
Lemur [1.5K]

Answer:

y=x+5

Step-by-step explanation:

you not subtracting, your adding five

the output is x+5 so whatever you input into the x, you add 5

7 0
3 years ago
How far does a bus travel in 4 hours at 55 mph?
dangina [55]
Well we know the bus goes 55 miles every our so just multiply 4 time 55
3 0
3 years ago
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