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jek_recluse [69]
3 years ago
11

Kim ran a mile in PE class. After resting for 1 hour her heart rate was 75 beats per minute. If her heart rate decreased by ⅖ ,

what was it immediately after she ran the mile?
Mathematics
1 answer:
Andreas93 [3]3 years ago
6 0

Answer:

125

Step-by-step explanation:

since you take away 2/5 of the original number to get 75, 75 is equal to 3/5's of the original. You then divide 75 by 3, get 25, then multiply 25 by 5 to find the answer which is 125.

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WILL MARK BRAINLIEST!!! A contractor has 34 meters of fencing that he is going to use as the perimeter of a rectangular garden.
snow_tiger [21]

Given

Shape of garden: Rectangle

Perimeter: 34 meters

Area: 72 square meters

Length of one side = x

Required

Find the dimension of the rectangle

Let the length of the other side of the rectangle be represented with y.

We start by writing out the perimeter of a rectangle

Perimeter, P = 2(L + B)

Where P is the perimeter; L and B are the length and width of the sides of the rectangle.

In this case L and B are represented by x and y

So,

P = 2(x + y)

By substituting 34 for P

34 = 2(x + y)

Multiply both sides by ½

½ * 34 = ½ * 2(x + y)

17 = x + y

Make y the subject of formula

y = 17 - x

Recall that the sides of the rectangle are represented by x and y.

Hence, the area of the rectangle is as follows.

Area = x * y

Substitute 72 for Area and 17 - x for y

72 = x(17 - x) --- Open bracket

72 = 17x - x² ---- Reorder

x² - 17x + 72 = 0

Now, we have a quadratic equation

Solving by factorisation

x² - 8x - 9x + 72 = 0

x(x - 8) - 9(x - 8) = 0

(x - 8)(x - 9) = 0

x - 8 = 0 or x - 9 = 0

x = 8 or x = 9

Recall that

y = 17 - x.

When x = 8

y = 17 - 8

y = 9

When x = 9

y = 17 - 9

y = 8

Writing out the result, we have

x = 8 , y = 9

Or

x = 9, y = 8

Hence, the dimension of the rectangle is 8 metres by 9 metres

7 0
3 years ago
I need some help plz
scZoUnD [109]

Answer:

  one solution is (0, -2)

Step-by-step explanation:

The line y = -x is the boundary of the solution space of the first inequality. The less-than symbol (<) tells you that the line will be dashed and the shading will be below it. The line has a slope of -1 and goes through the y-intercept point (0, 0).

The line y = x - 2 is the boundary of the solution space for the second inequality. The less-than-or-equal-to symbol (≤) tells you the line will be solid (or equal to) and the shading will be below it (less than). The line has a slope of +1 and goes through the y-intercept point (0, -2).

The area of the graph where the shadings overlap is the solution space for the system of inequalities. Any point in that area will do, including points on the solid line where y < -x. (0, -2) is one such point.

3 0
3 years ago
The sum of two consecutive mile markers on the interstate is 417417. Find the numbers on the markers
noname [10]

Hello from MrBillDoesMath!

Answer:

The first marker is labeled 208708; the second (consecutive) one 208709                  


Discussion:

Call the first mile marker "m". Then

m + (m+1) = 417417            => combine like terms

2m + 1 = 417417                 => subtract 1 from both sides

2m =  417416                     => divide both sides by 2

m  = 417416/2  = 208708                  

Note: m and (m+1) are consecutive as they immediately follow each other in the set of integers.

Thank you,

MrB

5 0
3 years ago
What multiplies to -26 and adds to 5
Kryger [21]
The two numbers are (5+ √(129))/2 and (5-√(129))/2.

(5+ √(129))/2+ (5-√(129))/2= 5
(5+ √(129))/2* (5-√(129))/2= -26

Hope this helps~
6 0
3 years ago
<img src="https://tex.z-dn.net/?f=8%20-%203w%20%3D%20%20-%202w" id="TexFormula1" title="8 - 3w = - 2w" alt="8 - 3w = - 2w" ali
lapo4ka [179]

3w+8=50

3w=50-8=42

w= 42/3=14

7 0
3 years ago
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