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sergiy2304 [10]
3 years ago
13

As part of a new fitness plan, Sabir walks on a treadmill at the same speed for 15 minuets every morning. The table shows the ca

lories he burns over time

Mathematics
1 answer:
Reil [10]3 years ago
7 0
The relationship between Sabir and calories he burns can be modeled using a linear function given by:
y=ax+b
where
a=slope
b=y-intercept
from the graph, the slope will be given as follows:
taking points (3,15) and (12,60)
a=(60-15)/(12-3)=5 calories/minute
thus using the slope and a point (3,15) the equation will be:
a(x1-x)=(y1-y)
plugging the values we obtain:
5(x-3)=y-15
5x-15=y-15
thus
y=5x
thus the equation is:
y=5x
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You know the distance between two cities is 140 miles. What is the distance in kilometers?
Juli2301 [7.4K]
The unknown is the distance in kilometres
The given is the distance in miles=140 miles
1 mile=1.6093km
140 miles=?
140/1*1.6093km=225.302km
Therefore the 140 miles in km is 225.302km
7 0
3 years ago
Read 2 more answers
26. If x:3 = 12:x, calculate the positive value of x.​
nydimaria [60]

Answer:

Answer ::+-6

Step-by-step explanation:

x:3=12:x

or, x/3 = 12/x

Doing cross multiplication,

x^2=36

Putting sqare root on both sides,

x= sqrt. 36

x= +- 6

Therefore x=+-6.

6 0
3 years ago
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Work out 3/5 of 900
Mars2501 [29]

Answer:

540

Step-by-step explanation:

1. We assume, that the number 900 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 900 is 100%, so we can write it down as 900=100%.

4. We know, that x is 3.5% of the output value, so we can write it down as x=3.5%.

5. Now we have two simple equations:

1) 900=100%

2) x=3.5%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

900/x=100%/3.5%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 3.5% of 900

900/x=100/3.5

(900/x)*x=(100/3.5)*x       - we multiply both sides of the equation by x

900=28.571428571429*x       - we divide both sides of the equation by (28.571428571429) to get x

900/28.571428571429=x

31.5=x

x=31.5

now we have:

3.5% of 900=31.5

3 0
3 years ago
A triangular prism is shown in the diagram.
qaws [65]

Answer:

246 cm^3

Step-by-step explanation:

See attached image.

8 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Csqrt%5B-%5D%7B64%7D" id="TexFormula1" title="\sqrt[-]{64}" alt="\sqrt[-]{64}" align="absmid
Gemiola [76]
Answer: -8





Explanation:

-sqrt(64)

If 8 x 8 = 64, then the square root of 64 is 8.

Result: -8

3 0
3 years ago
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