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Drupady [299]
3 years ago
7

Of the 360 runners at a 5-kilometer race, 20% are in the 35-39 age bracket. how many runners at the 5-kilometer race are in the

35-39 age bracket?
Percent Proportion Show your work
Mathematics
1 answer:
Mila [183]3 years ago
8 0

Answer:

72 runners

Step-by-step explanation:

Total runners = 360

20% of the total runners are in the 35-39 age bracket.

<em>We need to find number of runner in this age bracket.</em>

<em>Which tells us that this number is simply 20% of the total, or 20% of 360.</em>

<em />

How to find percentage of number?

We convert percentage to decimal and then multiply it with the other number.

Converting percentage to decimal requires us to divide by 100. So:

20% = 20/100 = 0.2

Now,

0.2 * 360 = 72

Hence,

72 runners are in the 35-39 age bracket

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If the family's net monthly income is $7,800, what percent of the income is spent on food, clothing, and housing?
Gala2k [10]

Answer:

60 percent

Step-by-step explanation:

5 0
2 years ago
Ms. Castille is about 6 feet tall. At 3:00 p.m. her shadow is 8 feet long and the tree’s shadow 20 is feet long.
zloy xaker [14]

Answer:

C

Step-by-step explanation:

8/6 = 1.33...

20/1.33... = about 15 ft

6 0
3 years ago
Read 2 more answers
(Evaluate each logarithm. Use the change of base formula when necessary) helpppp y’all
Dmitry [639]

The value of \log _{6}(36) is 2.

Solution:

Given expression is \log _{6}(36).

<u>To evaluate the expression:</u>

\log _{6}(36)

36 can be written as 6².

       =\log _{6}\left(6^{2}\right)

Using log rule: \log _{a}\left(x^{b}\right)=b \cdot \log _{a}(x)

       =2 \log _{6}(6)

Using log rule: \log _{a}(a)=1 so that \log _{6}(6)=1

       = 2(1)

       = 2

\log _{6}(36)=2

Hence the value of \log _{6}(36) is 2.

5 0
2 years ago
Can someone help me with this algebra question please 100% correct only
Mice21 [21]
The answer is:  [D]:  " 24 + 2w " .
___________________________________________
Explanation:
___________________________________________
Given: The formula for the Perimeter of a rectangle:
___________________________________________
   P = 2L + 2w ; 
  
                 in which:
                                P = perimeter ;
                                L = length = 12 units (given); 
                                w = width = unknown;
_______________________________________________________
           Find the perimeter, "P", in terms of "w" ; since "w" (width) is unknown; and considering the answer choices given; along with the information provided in the problem, we only have enough information to solve for the perimeter, "P", in terms of "w" ; 
_____________________________________________________
         So, given the formula/equation for the perimeter, "P" :
_____________________________________________________
       P = 2L + 2w ;  we know that:  " L = 12 units " ;
_____________________________________________________
       P = 2*12  +  2w  =  24 + 2w ;  which is:  "Answer choice: [D]" .
_____________________________________________________
7 0
2 years ago
In the diagram the sphere touches each face of the cube at one point-the center of each face. if each side of the cube is 7cm, w
Amiraneli [1.4K]

Answer:

C

Step-by-step explanation:

Te unoccupied volume (V) of the cube is calculated as

V = volume of cube - volume of sphere

   = 7³ - \frac{4}{3} πr³ ( r is the radius and r = 7 ÷ 2 = 3.5 )

   = 343 - \frac{4}{3} π × 3,5³

   = 343 - \frac{4}{3} π × 42.875

   = 343 - 179.59438

   = 163.4....

    ≈ 160 cm³ ( to the nearest 10 cm³ )

5 0
3 years ago
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