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suter [353]
3 years ago
15

Parallel lines t and u are cut by two transversals, r and s, which intersect line u at the same point.

Mathematics
2 answers:
Bezzdna [24]3 years ago
8 0

Answer:

D

Step-by-step explanation:

it was right on edge

Lelu [443]3 years ago
4 0

Answer:

B

Step-by-step explanation:

You might be interested in
Factorize the following<br> 4x+16y+24z
FrozenT [24]
  • 4x + 16y + 24z
  • = 4(x + 4y + 6z)

<u>Answer</u><u>:</u>

<u>4</u><u>(</u><u>x </u><u>+</u><u> </u><u>4</u><u>y</u><u> </u><u>+</u><u> </u><u>6</u><u>z</u><u>)</u>

Hope you could understand.

If you have any query, feel free to ask

6 0
2 years ago
During Christmas a book store sold 30 books. If the ratio of books go bookmarks sold was 10:1 ,how many bookmarks did the store
Snowcat [4.5K]
<span>books to bookmarks
books : bookmarks
10 : 1
10 * 3 : 1 * 3
30 : 3
3 bookmarks

Since the book store sold 30 books they also sold 3 bookmarks.

Answer: 3 bookmarks</span>
7 0
3 years ago
A bakery works out a demand function for its chocolate chip cookies and finds it to be q = D (x) = 943 - 17 x​, where q is the q
Alex73 [517]

Answer:

See expla below

Step-by-step explanation:

Given the demand function:

q = D (x) = 943 - 17 x

a) Find the elasticity:

Find the derivative of the demand function.

D'(x)= -17

Thus, elasticity expression is:

\frac{x D'(x)}{D'(x)}

= \frac{x (-17)}{943 - 17x}

= \frac{17x}{943 - 17x}

Elasticity expression = E(x) = \frac{17x}{943 - 17x}

b) At what price is the elasticity of demand equal to 1?

This means E(x) = 1

Substitute 1 for E(x) in the elasticity equation:

E(x) = \frac{17x}{943 - 17x}

1 = \frac{17x}{943 - 17x}

Cross multiply:

943 - 17x = 17x

Collect like terms

17x + 17x = 943

34x = 943

x = \frac{943}{34}

x = 27.74

Elasticity at the price of demand = 1 is 27.74

c) At what prices is the elasticity of demand elastic?

This means E(x) > 1

Therefore,

\frac{17x}{943 - 17x} > 1

\frac{17x}{943 - 17x} > 1

Cross multiply:

17x > 943 - 17x

Collect like terms

17x + 17x > 943

34x > 943

x > \frac{943}{34}

x > 27.74

The elasticity of demand is elastic at x > 27.74

d) At what prices is the elasticity of demand inelastic?

This means E(x) < 1

Therefore,

\frac{17x}{943 - 17x} < 1

\frac{17x}{943 - 17x} < 1

Cross multiply:

17x < 943 - 17x

Collect like terms

17x + 17x < 943

34x < 943

x < \frac{943}{34}

x < 27.74

The elasticity of demand is inelastic at x < 27.74

e) At what price is the revenue a maximum:

Total  revenue will be:

R(x) = x D(x)

= x (943 - 17x)

= 943x - 17x²

R(x) = 934 - 17x(price that maximizes total revenue)

Take R(x) = 0

Thus,

0 = 943 - 17x

17x = 943x

x = \frac{943}{17}

x = 27.74

Total revenue is maximun at x= 27.74 per cookie

f) At x = 21 per cookie, find the price:

Thus,

R (21) = (943 * 21) - (17 * 21²)

= 19803 - 7497

= 12306

At x = 27.74, find the price:

R(27.74) = (943 * 27.74) - (17 - 27.74²)

= 26158.82 - 13081.63

= 13077.19

We can see the new price of cookie causes the total revenue to decrease.

Therefore, with a small increase in price the total revenue will decrease.

5 0
3 years ago
A gym membership is $100 sign-up fee and charges $20 a month thereafter. How much is the membership fee in a month?
trapecia [35]

Answer:

$120

Step-by-step explanation:

y = mx + b

The $100 sign up fee is a set amount, or the b value.

The $20 would be the m value since it the constant change, or the slope.

Thus, the equation would be y=20x + 100

The membership fee for 1 month would be --->

y= 20(1) +100

y= 20 + 100

y= $120

                                     

4 0
3 years ago
-3x + 3y =3<br> -5x + y =13 Solve as a whole number
anzhelika [568]

Answer:

X = 3 x − 14

y = − x + 5

Step-by-step explanation:

Solve for the first variable, then substitute the result into the other equation.

4 0
2 years ago
Read 2 more answers
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