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RSB [31]
2 years ago
14

64. Denise wants to burn at least 5000 calories a week through running. Based on her running speed, she estimates that she can b

urn 550 calories per hour. a) Write an inequality that represents Denise's goal in terms of the number of hours spent runningh
Mathematics
1 answer:
Rudiy272 years ago
5 0

An inequality that represents Denise's goal in terms of the number of hours spent running 'h'

550h\leq 5000

Given :

Denise wants to burn at least 5000 calories a week through running.

she can burn 550 calories per hour

Let 'h' be the number of hours spent

In 1 hour  she can burn  550 calories

In 'h' hours she can burn 550h calories

Given that she want to burn atleast 5000 calories in a week

Burn atleast 5000 calories means <=5000 calories

So , the inequality that represents Denise's goal is

calories burn in h hours  <= 5000 calories

550h\leq 5000

Learn more :  brainly.com/question/381815

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What is the slope of the line passing through the points (3,5) and (-1,7)?
Maurinko [17]

-1/2

To find the slope of the line between two points, we use the equation (y2-y1)/(x2-x1)

Substitute the values given for the xs and ys:

(7-5)/(-1-3)

2/(-4)

simplify: -1/2

3 0
3 years ago
Read 2 more answers
The function g(x) is a translation of f(x) = (x 3)2 – 10. The axis of symmetry of g(x) is 5 units to the right of f(x). Which fu
natali 33 [55]

The axis of symmetry of g(x) is 2 units right side from the origin then the function is \rm g(x) = (x - 2)^2 + k. Then the correct option is A.

<h3>What is a function?</h3>

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

Given

The function f(x) is (x+3)^2 - 10.

The axis of symmetry of f(x) is left side by 3 units.

The axis of symmetry of g(x) is 5 units to the right of f(x).

Then the axis of symmetry of g(x) is 2 units right side from the origin.

Then the g(x) will be

\rm g(x) = (x - 2)^2 + k

Thus, the correct option is A.

More about the function link is given below.

brainly.com/question/14674614

5 0
2 years ago
Help please I really need it
KatRina [158]

First write the equation 8 + 12 > x because according to the triangle property, the sum of any 2 sides have to be greater than the third side. This means that the difference of any two sides should be smaller than the third side.


So, the answer would be 4 < x < 20.



8 0
3 years ago
Jennifer needs to use a ladder to clean a second floor window on a building. If the window is 13 ft above the ground and the bas
BigorU [14]

By using the Pythagoras theorem, the length of the ladder will be 13.6 feet.

<h3>What is a Pythagoras theorem?</h3>

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

Jennifer needs to use a ladder to clean a second-floor window on a building.

If the window is 13 ft above the ground and the base of the ladder is 4 ft from the building.

Then the length of the ladder will be

H² = 13² + 4²

H² = 169 + 16

H² = 185

H = 13.6 ft

More about the Pythagoras theorem link is given below.

brainly.com/question/343682

#SPJ1

7 0
2 years ago
Alvin wants to know what his average paddling rate was for a canoe trip to a campsite. On the way there it took him 8 hours agai
Marizza181 [45]

let

r--------> Alvin's average paddling rate in km/hour

y -------> speed of the current in km/hour



we know that

speed= distance/time ------> solve for distance

distance=speed*time


to Campsite against the current

speed=r-y-----> speed=(r-3)

time=8 hours

distance=(r-3)*8------> equation 2


From Campsite with the current

speed=r+y-----> speed=(r+3)

time=3 hours

distance=(r+3)*3------> equation 1



equate equation 1 and equation 2-----> because is the same distance

(r+3)*3=(r-3)*8----> 3r+9=8r-24----> 8r-3r=24+9-----> 5r=33----> r=6.6 km/hour


therefore


the answer is

Alvin's average paddling rate is 6.6 km/hour


7 0
3 years ago
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