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kiruha [24]
3 years ago
7

Silk cloth is on sale at a price of $19.80 for 5 yards. If 14 yards of the cloth are

Mathematics
1 answer:
Doss [256]3 years ago
5 0
I think the actual cost is $55.44
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Find the value of x and show work
Oksana_A [137]

Step-by-step explanation:

35+35+x=180 (sum of interior angles of an triangle is 180

therefore

x=180-70

x=110

3 0
3 years ago
Which is the inverse of the function a(d)=5d-3? And use the definition of inverse functions to prove a(d) and a-1(d) are inverse
Drupady [299]

Answer:

a'(d) = \frac{d}{5} + \frac{3}{5}

a(a'(d)) = a'(a(d)) = d

Step-by-step explanation:

Given

a(d) = 5d - 3

Solving (a): Write as inverse function

a(d) = 5d - 3

Represent a(d) as y

y = 5d - 3

Swap positions of d and y

d = 5y - 3

Make y the subject

5y = d + 3

y = \frac{d}{5} + \frac{3}{5}

Replace y with a'(d)

a'(d) = \frac{d}{5} + \frac{3}{5}

Prove that a(d) and a'(d) are inverse functions

a'(d) = \frac{d}{5} + \frac{3}{5} and a(d) = 5d - 3

To do this, we prove that:

a(a'(d)) = a'(a(d)) = d

Solving for a(a'(d))

a(a'(d))  = a(\frac{d}{5} + \frac{3}{5})

Substitute \frac{d}{5} + \frac{3}{5} for d in  a(d) = 5d - 3

a(a'(d))  = 5(\frac{d}{5} + \frac{3}{5}) - 3

a(a'(d))  = \frac{5d}{5} + \frac{15}{5} - 3

a(a'(d))  = d + 3 - 3

a(a'(d))  = d

Solving for: a'(a(d))

a'(a(d)) = a'(5d - 3)

Substitute 5d - 3 for d in a'(d) = \frac{d}{5} + \frac{3}{5}

a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}

Add fractions

a'(a(d)) = \frac{5d - 3+3}{5}

a'(a(d)) = \frac{5d}{5}

a'(a(d)) = d

Hence:

a(a'(d)) = a'(a(d)) = d

7 0
2 years ago
There are 110 calories in 8 ounces of gape juice. How many calories are in 10 ounces of grape juice?
daser333 [38]
In order to solve this problem, we need to set up a proportion.  I am setting the amount of calories in 10 ounces of grape juice equal to x.

\frac{110}{8} = \frac{x}{10}

We begin to solve this by cross multiplying.

8x = 1,100

To finish the problem, we divide both sides by 8.

x = 137.5, so the 10 ounce glass of grape juice will have 137.5 calories.
4 0
3 years ago
5. (3x2 – 13x – 10) ÷ (x – 5)
IgorC [24]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

( 3 {x}^{2}  - 13x - 10 ) \div (x - 5) =  \\

\frac{3 {x}^{2} - 13x - 10 }{x - 5}  =  \\

\frac{(x - 5)(3x + 2)}{(x - 5)}  =  \\

3x + 2

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

3 0
3 years ago
Please help me with my last answer im stuck ​
Fiesta28 [93]

9514 1404 393

Answer:

  the correct choice (A) is marked

Step-by-step explanation:

The function g(x) is translated 3 right and 1 down from f(x).

The transformation ...

  g(x) = f(x -h) +k . . . . . . translates h right and k up

For your translation, you have (h, k) = (3, -1). Putting those into the transformation model above gives ...

  g(x) = (x -3)² -1 . . . . matches choice A

3 0
2 years ago
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