MATHEMATICS COLLEGE

1) A 15 foot flagpole casts an 11 foot shadow. At the exact same time a 28 foot tree casts a shadow. Which proportion would correctly find the length of the tree's shadow? A) x 28 = 11 15 B) x 28 = 15 11 C) 28 x = 11 15 D) x 15 = 11 28

Answers

Answer 1

Answer:

The model involves similar triangles with the ratios of corresponding sides being equal

let x be the length of the tree's shadow, then

$(28)/(15)$ = $(x)/(11)$ ( cross- multiply )

15x = 11 × 28

Answer 2

Answer:

Answer:

Step-by-step explanation:

i went to K12

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Write 3.274 x 10^3 as an ordinary number

Find the lcm of 2,3,7 and tell me how u got ur answerif its CORRECT with ur reasoning ill give brainlest

Answers

Answer:

Step-by-step explanation:

Please help thank youuu

Answers

Answer:

D: 61 degrees.

Step-by-step explanation:

right angles add up to 90 degrees.

Answer:

61 degrees

Step-by-step explanation:

29+x=90

x=90-29

x=61

Steve's mom's age is 7 years less than 3 times Steve's ages.

Answers

Answer:

y = 3x + 7

(Not sure what the question was so, I just put it in slope intercept form)

Step-by-step explanation:

Let x be Steve's age.

Steve = x

Steve's Mom = y

Now let's create an equation:

y - 7 = 3x

y = 3x + 7

(Not sure what the question was so, I just put it in slope intercept form)

Please let me know if I misunderstood the question that way I can help you! <3

Answer:

Steve's mom is 65.

Step-by-step explanation:

Let s = Steve's age.

s + (3s - 7) = 65

4s - 7 = 65

4s = 72

s = 18

Check:

Steve is 18

His mom is (3 * 18) - 7 = 54 - 7 = 47

14 + 47 = 65

Yep.

18 + 47 = 65

Find the Unit Rate: Twenty emails in 5 minutes.

Answers

Answer:

4 emails per minute

Step-by-step explanation:

20/5=4

Karly is choosing between two health clubs. Yoga Studio A charges a membership fee of $22.00 and $24.50 per month. Yoga Studio B charges a membership fee of $47.00 and $18.25 per month. At how many months will they cost the same? *

Answers

Answer:

4 months

Step-by-step explanation:

Given

Studio A

$Membership = \$22.00$

$Monthly = \$24.50$

Studio B

$Membership = \$47.00$

$Monthly = \$18.25$

Required

Determine when the cost will be the same

For both, we have the total cost to be:

$Cost = Membership + Monthly\ Cost * m$

Where m represents the number of month

For Studio A:

$Cost = 22 + 24.5 * m$

For Studio B:

$Cost = 47 + 18.25 * m$

Equate both expressions to get the required month

$47 + 18.25 * m = 22 + 24.5 * m$

$47 + 18.25 m = 22 + 24.5m$

Collect Like Terms

$47 - 22 = 24.5m - 18.25 m$

$25= 6.25m$

Reorder

$6.25m = 25$

Solve for m

$m = 25/6.25$

$m = 4$

Hence, it'll take 4 months

A jacket costs $35 and has an 8 percent tax rate. Which expression will find the cost of the tax on the jacket? 35 dollars (0.08) 35 dollars (8) 35 dollars (0.08) + 35 dollars 35 dollars (8) + 35 dollars