factor of the line segment dilation. AB: endpoints (−6, −3) and (−3, −9) to A'B': endpoints at (−2, −1) and (−1, −3).

Answers

Answer 1

Answer:

The answer is 1/3, I just answered this on USATP.

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The goal of a market economy is to

Answers

A market economy is an economic system where the prices of goods are and economic decisions are based on the collective interactions of the individual people in the economy and the businesses present. The goal of a market economy may be described as wanting to limit the government involvement in economic decisions.Hope this helps. Let me know if you need additional help!

Final answer:

A market economy primarily aims to efficiently meet consumer demand for goods and services, foster healthy competition amongst suppliers, and promote private enterprise, rewarding individuals for their ability to produce goods and services that society values.

Explanation:

The goal of a market economy firstly is to coordinate a process where firms aim to produce goods and services in the quantity, quality, and price that consumers want, making efficient use of resources. Secondly, it is designed to create an environment where competition amongst suppliers can take place, aiming to offer the best goods and services at the lowest prices, stimulating productive efficiency. Lastly, market economies are based on the principle of private enterprise, where personal income is driven by an individual's capacity to convert resources, particularly labor, into a product or service that society values.

Learn more about Market Economy here:

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Pamela has 4 pink ribbons, 3 green ribbons, and 1 blue ribbon. what fraction of Pamela's ribbons are green?

Answers

The total number of ribbons is 8 because 4 + 3 + 1 is 8
The number of green ribbons is 3
That means that 3 out of the 8 ribbons are green
Answer: 3/8

4 + 3 + 1 = 8
1 of those 8 is green
1/8

a jar contains 65 pennies 27 nickels 30 dimes and 18 quarters a coin is randomly selected from the jar find each probability

Answers

The required probabilities are $P(\text{pennies})=(13)/(28),P(\text{nickels})=(27)/(140),P(\text{dimes})=(3)/(14),P(\text{quarters})=(9)/(70)$ .

Given:

Pennies = 65

Nickels = 27

Dimes = 30

Quarters = 18

To find:

The probability of each.

Solution:

The probability formula:

$\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total outcomes}}$

Total number of coins:

$65+27+30+18=140$

The probability of selecting Pennies is:

$P(\text{pennies})=(65)/(140)$

$P(\text{pennies})=(13)/(28)$

The probability of selecting nickels is:

$P(\text{nickels})=(27)/(140)$

The probability of selecting dimes is:

$P(\text{dimes})=(30)/(140)$

$P(\text{dimes})=(3)/(14)$

The probability of selecting quarters is:

$P(\text{quarters})=(18)/(140)$

$P(\text{quarters})=(9)/(70)$

Therefore, the required probabilities are $P(\text{pennies})=(13)/(28),P(\text{nickels})=(27)/(140),P(\text{dimes})=(3)/(14),P(\text{quarters})=(9)/(70)$ .

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brainly.com/question/9721191

One leg of a right triangle is 7 units long, and its hypotenuse is 16 units long. What is the length of the other leg? Round to the nearest whole number.

Answers

Answer:

14 units

Step-by-step explanation:

To find the length of the other leg of a right triangle, where one leg is 7 units long and the hypotenuse is 16 units long, use Pythagoras Theorem.

Pythagoras Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the legs.

Let the legs of the right triangle be "a" and "b", and the hypotenuse be "c". Therefore:

$\begin{aligned}a^2+b^2&=c^2\na^2+7^2&=16^2\na^2+49&=256\na^2+49-49&=256-49\na^2&=207\n√(a^2)&=√(207)\na&=14.3874945...\na&=14\;\sf(nearest\;whole\;number)\end{aligned}$

Therefore, the length of the other leg is 14 units (rounded to the nearest whole number).

Answer:

7^{2} + x^{2} = 16^{2}

49+x^2=256

x^2=207

x=14.387=14

Convert 4 . 5 4.5 yards to inches. 4.5 yd = __ in. 4.5 yd = __ in.O A.1.5
O B.54
O C.144
O D.162

help!!!!!!!!

Answers

Answer:

C. i think

Step-by-step explanation:

Walt made an extra $7000 last year from a part-time job. He invested part of the money at 3% and the rest at 3.25%. He made a total of $220.00 in interest. How much was invested at 3.25%?A $4000

B $3000

C $5000

D $3500

Answers

Answer: A $4000

Step-by-step explanation:

Let x represent the amount which he invested at 3% interest.

Let y represent the amount which he invested at 3.25% interest.

Walt made an extra $7000 last year from a part-time job. He invested part of the money at 3% and the rest at 3.25%. This means that

x + y = 7000

The formula for determining simple interest is expressed as

I = PRT/100

Considering the account paying 3% interest,

P = $x

T = 1 year

R = 3℅

I = (x × 3 × 1)/100 = 0.03x

Considering the account paying 3.25% interest,

P = $y

T = 1 year

R = 3.25℅

I = (y × 3.25 × 1)/100 = 0.0325y

He made a total of $220.00 in interest., it means that

0.03x + 0.0325y = 220 - - - - - - - -- -1

Substituting x = 7000 - y into equation 1, it becomes

0.03(7000- y) + 0.0325y = 220

210 - 0.03y + 0.0325y = 220

- 0.03y + 0.0325y = 220 - 210

0.0025y = 10

y = 10/0.0025

y = 4000

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