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barxatty [35]
3 years ago
6

Jumping rope can burn 600 calories per hour. Write and solve an inequality to find the number of hours jumping rope that it woul

d take for you to burn at least 450 calories.
Show work please :)
Mathematics
1 answer:
Simora [160]3 years ago
5 0
X is the number of hours to burn 450 calories:
<em>equality method:</em>
600 calories * 1 hour  = 450 calories * x hours
x hours = 450/600 calories * 1 hour 
x = 0.75 
So, she needs 0.75 hours (45 minutes) to burn 450 calories
<em>
Inequality method:
</em>600x > 450
x > 450/600
x > 0.75
So, she needs at least 0.75 (45 minutes) to burn at least 450 calories.

Hope this Helps! :D
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2. The sum of the reciprocals of two consecutive positive integers is 17/72. Write an equation that can be used to find the two
Lena [83]
To answer this item, we let x be the first positive integer. Then, the second would be x+1. Their reciprocals would be 1/x and 1/(x+1). Then, the equation that would best represent the scenario above is,
                            1/x + 1/(x+1) = 17/72
Solving the equation above,
                           ((x+1) + x) / (x)(x+1) = 17/72
If we take the numerators of both sides of the equation,
                              (x+1) + x = 17
The value of x from the equation is 8 and x+1 would be 9. Thus, the answer would be 8 and 9. 
8 0
3 years ago
What are the values of c makes x^2 + 6x + c a perfect square trinomial? <br> 3<br> 6<br> 9<br> 12
alex41 [277]

Answer:

<h2>c = 9</h2>

Step-by-step explanation:

(a+b)^2=a^2+2ab+b^2\\\\\text{We have}\ x^2+6x+c=x^2+2(x)(3)+c\\\\\text{Therefore}\ c=3^2=9\\\\x^2+2(x)(3)+3^2=(x+3)^2

6 0
3 years ago
A-2b, If a = - 2.5, b = - 3.3
lorasvet [3.4K]

Answer:

-2.5 - 2(-3.3)

-2.5 + 6.6 = 4.1

8 0
3 years ago
Using the slope and the y-intercept, graph the line represented by the following equation. Then select the correct graph. 3y = 2
Over [174]
First, let's write the given equation in slope-intercept form: y = mx + b

In slope-intercept form, the slope of the line is m, and the y-intercept is b. The slope is a measure of how steep the graph is at any point and is found by doing rise over run. This means the change in y values divided by the change in x values. Next, y-intercept is just where the graph crosses the y axis.

All we need to do to get the equation in slope-intercept form is to divide each term by 3. This will isolate the y.

y= \frac{2}{3}x-2

As you can see, the slope of the line is 2/3, and the y-intercept is -2.

To graph the line, plot a point at (0,-2). This is the point where the graph crosses the y axis. Then from that point, count up two and right 3. Plot a point here as well. Lastly, connect the two points with a straight line.

See attached picture for the graph.

5 0
3 years ago
Read 2 more answers
PLEASE HELP I WILL GIVE BRAINLEST AND 20 POINTS PLEASEEEE
rewona [7]

Answer:

Question 4: Which equation is parallel to the above equation and passes through the point (35, 30)

y= \frac{5}{7} x + 5  is the correct answer, I found this by inputting the x and y value of the coordinate (35, 30) onto the equation and solving for y-intercept since the slope of all equations is the same (since it's traveling parallel)

30 = \frac{5}{7} (35) + y\\30 = 25 + y\\5 = y

so the equation would be y= \frac{5}{7} x + 5

Question 5: Which equation is perpendicular to the above equation and passes through the point (35, 30)

y=\frac{-7}{5} x+79 is the correct answer, I found this using the same method as before, input coordinate values into the equation and solve for the y-intercept (The only thing changed from the last answer is the opposite reciprocal slope).

30 = \frac{-7}{5}(35) + y \\30 = -49 + y  \\79 = y

so the equation would be y=\frac{-7}{5} x+79

6 0
2 years ago
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