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2 years ago

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Chloe would like to join a club for dancing entrance fee is $20.00 and will be charged $35.00 per month. Chloe would like to kno

w cost for each month. Write and equation indicating the total cost of dancing lessons

1 answer:

likoan [24]2 years ago

7 0

It would be 35x+20=C

C is total cost
X is the months

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SW=2x+y, WC= x-2y, W is the midpoint of SC, and SC=20, find the values of x and y.

zysi [14]

Answer:

$x= 6$

$y = -2$

Step-by-step explanation:

Given

$SW = 2x + y$

$WC = x - 2y$

$SC = 20$

Required

Determine x and y

Since W is the midpoint;

$SW = WC = \frac{1}{2} * SC$

$SW = WC = \frac{1}{2} * 20$

$SW = WC = 10$

Substitute 10 for SW and WC

$2x + y = 10$ --- (1)

$x - 2y = 10$ ---- (2)

Make x the subject in (2)

$x = 10 + 2y$

Substitute $x = 10 + 2y$ in (1)

$2(10 + 2y) + y = 10$

$20 + 4y + y = 10$

$20 + 5y = 10$

Solve for 5y

$5y = 10 - 20$

$5y = -10$

Solve for y

$y = -10/5$

$y = -2$

Recall that $x = 10 + 2y$

$x = 10 + 2(-2)$

$x = 10 -4$

$x= 6$

3 0

3 years ago

From the top of a tower, an object which is 97 m away from the base of the tower, is at a 37° angle of depression.

mario62 [17]

<h3>Answer: 73</h3>

==================================================

Work Shown:

Check out the diagram below. Note the pair of alternate interior angles that are congruent (each 37 degrees). Then focus on triangle ABC. With the reference angle being at A, this means we use the tangent function because BC = x is the opposite side and AB = 97 is the adjacent side.

tan(angle) = opposite/adjacent

tan(A) = BC/AB

tan(37) = x/97

97*tan(37) = x

x = 97*tan(37)

x = 73.094742859971

For the last step, you'll need a calculator that can handle trig functions. Make sure the calculator is in degree mode. The result here is approximate. This rounds to 73 when rounding to the nearest whole number.

7 0

3 years ago

Six men take five days to complete a job. How long would<br> the same job take fifteen men?

Bond [772]

Answer:

2 days

Step-by-step explanation:

Understanding :

Number of men is inversely proportional to the number of days taken to complete a job
6 men take 5 days to complete 1
Now the number of men is 15

Solving :

Rate of change of men ∝ 1/Rate of change of days
15/6 ∝ 1/(d/5)
2.5 = 5/d
d = 2 days

6 0

2 years ago

A baker uses 131 2 cups of flour to make key lime bread. She uses 21 4 cups of flour to make each loaf. The baker sells 2 3 of t

elena-14-01-66 [18.8K]

Answer:

She sells 4 loaves of key lime bread

Step-by-step explanation:

Extracting the key information from the question:

*** A baker uses 13 1/2 cups of flour to make key lime bread

*** She uses 2 1/4 cups to make each loaf.

*** She sells 2/3 of the loaves of bread that she makes.

Now, since she uses 2 1/4 to make each loaf, we will convert this into improper fraction.

2 1/4 = [(4×2)+1]/4 = 9/4

She uses a total of 13 1/2 cups of flour to make all loaves.

To find the number of loaves she makes, we will divide the overall quantity of flour used by the quantity used to make a loaf

13 1/2 ÷ 2 1/4

Since 13 1/2 and 2 1/4 are the same as 27/2 and 9/4 respectively (mixed to improper fractions), we will then divide 27/2 by 9/4

= 27/2 × 4/9 = 6 loaves (total bread she makes).

Again, we learnt she sells 2/3 of the total loaves she makes.

Since total = 6, then 2/3 of 6 is:

2/3 × 6 = 4 loaves .

Therefore, the baker sells 4 loaves of key lime bread.

5 0

3 years ago

Read 2 more answers

(4/3)^ -2 what is the solution

g100num [7]

Answer:

9/16

Step-by-step explanation:

6 0

3 years ago