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forsale [732]
3 years ago
12

A 10 foot pole casts a 15 ft shadow. At the same time, a tree casts a 24 foot shadow. How tall is the tree

Mathematics
2 answers:
Ludmilka [50]3 years ago
7 0

1. Set up a ratio for the pole comparing height to shadow length:

   10 feet tall / 15 feet shadow

2. Set this ratio equal to a similar ratio for the tree:

    \dfrac{10 \text{ feet tall}}{15 \text{ feet shadow}}  =\dfrac{x \text{ feet tall}}{24 \text{ feet shadow}}

 

3. Solve the equation by multiplying by 24 on both sides of the equation:

    24 \cdot \dfrac{10}{15}  = x

   

      x = 16 feet

hichkok12 [17]3 years ago
4 0

Answer:

41

Step-by-step explanation:

10=15

24=x

cross multiply

24×15=410

410÷10=41

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Can i get your help please <br> Simplify: 176/14
erastova [34]

Answer:

12\frac{8}{14} or 12.57

Step-by-step explanation:

12\frac{8}{14} or 12.57

4 0
3 years ago
Read 2 more answers
A waitress sold 10 ribeye steak dinners and 18 grilled salmon dinners, totaling $590.39 on a particular day. anither day she sol
Len [333]

Answer:

   a) The cost of ribeye steak dinners is $ 16.96.

   b) The cost of grilled salmon dinners is $ 23.37.

Explanation:

 Let the cost for ribeye steak dinners  be m and cost for grilled salmon dinners  be n.

 A waitress sold 10 ribeye steak dinners and 18 grilled salmon dinners, totaling $590.39 on a particular day.

So, we have    

         10 m + 18 n = 590.39 -------equation 1

Another day she sold 22 ribeye steak dinners and 9 grilled salmon dinners, totaling $583.49

So, we have    

         22 m + 9 n = 583.49 -------equation 2

 equation 2 x 2

       44 m + 18 n = 1166.98 -------equation 3

 equation 3 - equation 1

        44 m + 18 n - (  10 m + 18 n ) = 1166.98 - 590.39

         m = 16.96 $

  Substituting in equation 1

        22 x 16.96 + 9 n = 583.49

          n = 23.37 $

   a) The cost of ribeye steak dinners is $ 16.96.

   b) The cost of grilled salmon dinners is $ 23.37.

6 0
3 years ago
A bank manager wants to encourage new customers to open accounts with principals of at least $3,000. He decides to make a poster
ankoles [38]

Assuming that the 4.8% interest rate is an annual interest rate, then, after one year, with a principal of $3,000 we would be able to win 4.8% of $3000:

3000\times\frac{4.8}{100}=144

Divide 144 over 12 to find the monthly earnings:

\frac{144}{12}=12

Therefore, with a principal of $3,000 we would be earning $12 interest in 1 month.

For the earnings on the first month to be equal to $10, then you would have to win $120 annually, and $120 must be 4.8% of the principal. To find which quantity satisfies that 4.8% of it is equal to $120, divide 120 over 4.8%:

\frac{120}{4.8\text{ \%}}=\frac{120}{(4.8/100)}=\frac{100}{4.8}\times120=2500

Therefore, the principal must be equal to $2500 for you to win $10 on the first month, and it would indeed be correct to say that if you open an account with $3000 you will earn at least $10 interest in 1 month.

7 0
1 year ago
Kaitlin has four and two-thirds berry pies. She is going to share it equally among 12 people. How much pies will each person get
Ulleksa [173]

Answer:

7/18

Step-by-step explanation:

4 2/3=14/3

(14/3)/12=14/36

reduces to

7/18

3 0
3 years ago
For the animal shelter, Elena Nppurchased
Naddik [55]

Elena's total cost (C) is 5(9.98 + 24.99 + x)

Since each dog leashes cost $9.98, each bag of dog food cost $24.99 and each crate of egg cost $x, hence:

Total cost (C) = 5 * $9.98 + (5 * 24.99) + (5 * x)

C = 5(9.98 + 24.99 + x)

Therefore Elena's total cost (C) is 5(9.98 + 24.99 + x)

Find out more at: brainly.com/question/21105092

6 0
3 years ago
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