MATHEMATICS HIGH SCHOOL

On average, it takes 4.75 hours to run a marathon. How many days will it take to run 100 marathons?

Answers

Answer 1

Answer:

Answer:

475 hours

Step-by-step explanation:

Answer 2

Answer: 4.75*100=475...........

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After simplification, the value of 1-2/1(1+2)-3/(1+2)(1+2+3)-4/(1+2+3)(1+2+3+4)-...-100/(1+2+...+99)(1+2+...+100) is a proper fraction in its lowest form. Find the difference of its numerator and denominator.

How do i solve this equation:

slope= 4, (-3,3)

Answers

$slope= 4, \ \ (-3,3) \n \n To \ find \ our \ equation \ we \ will \ use \ the \ formula: \n \n y - y _(1) = m(x - x _(1))\n \nwherem \ is \ the \ slope \ and \ (x _(1), y _(1)) \ is \ the \ point \n \nm=4, \ \ x_(1)= -3 , \ \ y_(1) = 3 \n \n y - 3 = 4(x - (-3))$

$y -3= 4(x +3) \n \n y-3 =4x+12\n\ny=4x+12+3\n \n y =4x+15$

$y=mx+b\ \ \ and\ \ \ m-slope\n\n slope= 4\ \ \ \Rightarrow\ \ \ y=4x+b\n\n point:\ (-3,3)\ \ \ \Rightarrow\ \ \ 3=4\cdot(-3)+b\ \ \ \ \Rightarrow\ \ \ b=3+12=15\n\nAns.\ y=4x+15$

Find the sum of the measures of the interior angles of each polygon. 13 gon

Answers

For the general case, the n-gon, you got $180(n-2)$ degrees. The 13-gon thus has 1980 degrees in total.

Answer: The 13-gon has 1980 degrees in total.

Step-by-step explanation:

5b less than or equal to -5please show your work so that I can understand. step by step thanks

Answers

Steps for 5b less than or equal to -5: 1. Divide by 5 on both sides 2. Your answer is b is less than or equal to -1 3. With inequalities you have to find a way to get b on one side and a number other. You still have to do the same thing on both sides though. So I divided by 5 on both sides to get my answer. Hope this helps you

List two main differences between an expression and an equation

Answers

Answer

A expression is an number or a variable and a combination of numbers in variables and operation symbols. A equation is made up of two expressions or connected by an equal sign.

Step-by-step explanation:

In the xy -plane above, point C has coordinates (6, 9). Which of the following is an equation of the line that contains points O and C ?

Answers

the point is (3,9) that you need to figure it out

Point (1,-5) 6. The slope is 5 , and the line passes through the (-1,-3).

Answers

Step-by-step explanation:

You have given a point (1, -5), a slope of 5, and the line passes through the point (-1, -3). You can use this information to find the equation of the line.

The equation of a line in point-slope form is:

y - y1 = m(x - x1)

Where (x1, y1) is a point on the line, and m is the slope.

Using the given point (1, -5) and the slope m = 5, you can plug these values into the equation:

y - (-5) = 5(x - 1)

Now, simplify:

y + 5 = 5(x - 1)

To put it in slope-intercept form (y = mx + b), expand and solve for y:

y + 5 = 5x - 5

Subtract 5 from both sides:

y = 5x - 5 - 5

y = 5x - 10