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tigry1 [53]
3 years ago
13

Choose Yes or No to tell whether the Addition Property of Inequality can be used to solve each statement. w – 4 > –10 12 ≥ 20

x 7y10 ≤ 5.5 –3.25 < x – 9.75
Mathematics
1 answer:
Alex3 years ago
4 0

Answer:

No

Step-by-step explanation:

The inequality will not be the same if the same amount is added both sides.

The addition property states that if the same quantity is added to both sides, then the inequality still remains true. Take for example:

let x, y, and z be real numbers. It follows that:

if x ≥ y, then x + z ≥ y + z

This holds true for whatever value of z

If x ≤ y, then x + z ≤ y + z

The inequality remains true.

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You have 64 coins, consisting of pennies, nickels, and quarters. The value of
Romashka-Z-Leto [24]

Answer:

There are 20 pennies, 33 nickels and 11 quarters

Step-by-step explanation:

- You have 64 coins, consisting of pennies, nickels, and quarters

- The value of  the coins is $4.60

- Assume that there are p pennies, n nickles, and q quarters

∴ p + n + q = 64 ⇒ (1)

- Lets find the value of each types of coins

∵ 1 penny = 1 cent ⇒ p = p cents

∵ 1 nickel = 5 cents ⇒ n = 5n cents

∵ 1 quarter = 25 cents ⇒ q = 25q cents

∵ 1 dollar = 100 cents ⇒ $4.60 = 4.60 × 100 = 460 cents

∴ p + 5n + 25q = 460 ⇒ (2)

- You also know that you have three times as many nickels as  quarters

∴ n = 3q ⇒ (3) ⇒ the number of nickles by quarters

∵ 5n = 5(3q)

∴ 5n = 15q ⇒ (4) ⇒ the values of nickles by quarters

- Substitute (3) in equation (1) and (4) in equation (2)

∴ p + 3q + q = 64

∴ p + 4q = 64 ⇒ (5)

∴ p + 15q + 25q = 460

∴ p + 40q = 460 ⇒ (6)

- Subtract equation (5) from equation(6) to eliminate p

∴ 36q = 396

- Divide both sides by 36

∴ q = 11

- Substitute the value of q in equation (5)

∴ p + 4(11) = 64

∴ p + 44 = 64

- Subtract 44 from both sides

∴ p = 20

- Substitute the value of q in (3)

∴ n = 3(11) = 33

∴ n = 33

<em>There are 20 pennies, 33 nickels and 11 quarters</em>

6 0
3 years ago
Read 2 more answers
A bicycle is traveling at 22 miles per hour. How many feet will it cover in 45 seconds? Round your answer to the nearest tenth o
puteri [66]
  • Answer:

<em>1452 feet</em>

  • Step-by-step explanation:

<em>1 hour = 60min×60sec = 3600 sec</em>

<em>1 miles = 5280 feet</em>

<em>22 miles = 22×5280ft = 116160 ft</em>

<em />

<em>3600sec ................. 116160 ft</em>

<em>45sec ................................ x ft</em>

<em>x = 45×116160/3600</em>

<em>= 5227200/3600</em>

<em>= 1452 feet</em>

7 0
3 years ago
How do the absolute values of -8 1/2 and -9 1/2 compare? Choose a symbol
Cloud [144]

Answer: its <

Step-by-step explanation:

4 0
3 years ago
What do u think which is more Simple Interest or Compound Interest?
ArbitrLikvidat [17]

Answer:

When it comes to investing, compound interest is better since it allows funds to grow at a faster rate than they would in an account with a simple interest rate.

5 0
2 years ago
Rewrite the equation in logarithmic form: 4^3 = 64
storchak [24]
4^3 = 64

log4 64 = 3

The exponent always comes to the other side.
8 0
3 years ago
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