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2 years ago

I need the answer in a fraction if possible

Mathematics

1 answer:

Vedmedyk [2.9K]2 years ago

7 0

Answer:

12 ft 9 5/6 inches

Step-by-step explanation:

We can use proportions to solve this. Put the height of the object over the shadow. Change the height of the object to inches

Alonzo

5 ft 11 inches = 5 ft *12 inches/ft + 11 inches = 60 inches + 11 inches = 71 inches

2 ft shadow = 2* 12 inches/ ft = 24 inches

Basketball goal

4 ft 4 inches = 4 ft *12 inches/ft + 4 inches = 48inches + 4 inches = 52 inches

Alonzo Basketball

71 inches x inches tall

------------ = --------------------

24 inches 52 inches

Using cross products

71*52 = 24*x

Divide each side by 24

71*52/24 = 24x/24

923/6 =x

Lets change this to a mixed number

6 goes into 923 153 times with 5 left over

153 5/6 inches

Now we need to change inches to feet

How many time does 12 go into 153 12 times (12*12 =144 with 9 left over)

12 ft 9 5/6 inches

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The simple interest on a certain sum for 5years at 8% per annum is Rs200 less than the simple interest on the same sum for 3year

Paha777 [63]

Answer:

Step-by-step explanation:

The simple interest on a certain sum for 5years at 8% per annum is Rs200 less than the simple interest on the same sum for 3years and 4months at 18% per annum.Find the sum

The formula for Simple Interest = PRT

From above question, we have to find the Principal

The simple interest on a certain sum for 5years at 8% per annum is Rs200

Hence,

R = 8%

T = 5 years

Rs 200 = P × 8% × 5

P = 200/8% × 5

P = Rs500

The principal = Rs 500

The simple interest on the same sum for 3years and 4months at 18% per annum.

Simple Interest = PRT

R = 18%

T = 3 years and 4 months

Converted to years

T = 3 + (4 months/12 months)

T = 3.33 years

Hence,

Simple Interest = Rs 500 × 18% × 3.33 years

= Rs 299.7

7 0

3 years ago

In a certain year, brand A of heart-rate watch cost $39.99 and brand B cost $59.99. A nonprofit community health organizatio

Oksi-84 [34.3K]

Answer:

Brand A = 21 heart-rate watches.

Brand B = 13 heart-rate watches.

Step-by-step explanation:

Let A be the number of Brand A heart watches and B be the number of Brand B heart watches.

We have been given that a nonprofit community health organization purchased 34 heart-rate watches for use at a wellness center.

We can represent this information in an equation as:

$A+B=34...(1)$

We have been given that in a certain year, brand A of heart-rate watch cost $39.99 and brand B cost $59.99 and the organization spent $1619.66 for the watches.

We can represent this information in an equation as:

$39.99*A+59.99*B=1619.66...(2)$